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Chapter 60: Comprehensive Grade 4 Review and Mathematical Processes

Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.

Grade 4Beginner Friendly10 Examples Per Topic30 Q&APractice + Review
Estimated reading time0% read
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Chapter Overview

This chapter teaches Comprehensive Grade 4 Review and Mathematical Processes in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.

60.1 Number sense review

Number sense review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Number sense review using the numbers 6 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 2

Problem: Create a simple Grade 4 example about Number sense review using the numbers 9 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 3

Problem: Create a simple Grade 4 example about Number sense review using the numbers 5 and 4.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 4

Problem: Create a simple Grade 4 example about Number sense review using the numbers 3 and 13.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 5

Problem: Create a simple Grade 4 example about Number sense review using the numbers 20 and 19.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 6

Problem: Create a simple Grade 4 example about Number sense review using the numbers 14 and 6.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 7

Problem: Create a simple Grade 4 example about Number sense review using the numbers 17 and 9.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 8

Problem: Create a simple Grade 4 example about Number sense review using the numbers 13 and 18.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 9

Problem: Create a simple Grade 4 example about Number sense review using the numbers 14 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Worked Example 10

Problem: Create a simple Grade 4 example about Number sense review using the numbers 11 and 18.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Number sense review.

Practice Exercise

Create and solve one new example of Number sense review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.2 Fraction review

A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A model has 10 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/10

Worked Example 2

Problem: A model has 5 equal parts and 5 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 5/5

Worked Example 3

Problem: A model has 4 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/4

Worked Example 4

Problem: A model has 4 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/4

Worked Example 5

Problem: A model has 5 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/5

Worked Example 6

Problem: A model has 6 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/6

Worked Example 7

Problem: A model has 10 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/10

Worked Example 8

Problem: A model has 6 equal parts and 5 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 5/6

Worked Example 9

Problem: A model has 6 equal parts and 6 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 6/6

Worked Example 10

Problem: A model has 3 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/3

Practice Exercise

Create and solve one new example of Fraction review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.3 Decimal-tenth review

A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Write 8/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.8

Worked Example 2

Problem: Write 2/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.2

Worked Example 3

Problem: Write 5/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.5

Worked Example 4

Problem: Write 9/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.9

Worked Example 5

Problem: Write 1/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.1

Worked Example 6

Problem: Write 3/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.3

Worked Example 7

Problem: Write 7/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.7

Worked Example 8

Problem: Write 1/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.1

Worked Example 9

Problem: Write 6/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.6

Worked Example 10

Problem: Write 2/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.2

Practice Exercise

Create and solve one new example of Decimal-tenth review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.4 Addition and subtraction review

Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Calculate 2,699 + 2,261.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,960

Worked Example 2

Problem: Calculate 1,031 + 2,933.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,964

Worked Example 3

Problem: Calculate 1,628 + 1,680.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,308

Worked Example 4

Problem: Calculate 3,765 + 1,832.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,597

Worked Example 5

Problem: Calculate 2,714 + 852.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,566

Worked Example 6

Problem: Calculate 952 + 972.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,924

Worked Example 7

Problem: Calculate 1,642 + 1,495.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,137

Worked Example 8

Problem: Calculate 1,389 + 1,945.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,334

Worked Example 9

Problem: Calculate 2,069 + 384.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,453

Worked Example 10

Problem: Calculate 2,053 + 2,895.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,948

Practice Exercise

Create and solve one new example of Addition and subtraction review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.5 Multiplication and division review

Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Calculate 12 × 7.

  1. Break 12 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 84

Worked Example 2

Problem: Calculate 6 × 5.

  1. Break 6 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 30

Worked Example 3

Problem: Calculate 3 × 5.

  1. Break 3 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 15

Worked Example 4

Problem: Calculate 4 × 8.

  1. Break 4 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 32

Worked Example 5

Problem: Calculate 4 × 2.

  1. Break 4 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 8

Worked Example 6

Problem: Calculate 5 × 2.

  1. Break 5 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 10

Worked Example 7

Problem: Calculate 5 × 2.

  1. Break 5 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 10

Worked Example 8

Problem: Calculate 11 × 2.

  1. Break 11 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 22

Worked Example 9

Problem: Calculate 8 × 3.

  1. Break 8 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 24

Worked Example 10

Problem: Calculate 12 × 4.

  1. Break 12 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 48

Practice Exercise

Create and solve one new example of Multiplication and division review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.6 Multi-operation problem solving

Multi-operation problem solving is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 19 and 10.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 2

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 5 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 3

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 20 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 4

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 19 and 6.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 5

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 14 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 6

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 4 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 7

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 15 and 9.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 8

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 15 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 9

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 8 and 10.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Worked Example 10

Problem: Create a simple Grade 4 example about Multi-operation problem solving using the numbers 19 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Multi-operation problem solving.

Practice Exercise

Create and solve one new example of Multi-operation problem solving. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.7 Pattern and algebra review

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 10, 13, 16, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 19, 22

Worked Example 2

Problem: Continue 3, 7, 11, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 15, 19

Worked Example 3

Problem: Continue 2, 7, 12, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 17, 22

Worked Example 4

Problem: Continue 2, 6, 10, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 14, 18

Worked Example 5

Problem: Continue 4, 10, 16, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 28

Worked Example 6

Problem: Continue 3, 5, 7, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 9, 11

Worked Example 7

Problem: Continue 9, 14, 19, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 24, 29

Worked Example 8

Problem: Continue 6, 12, 18, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 24, 30

Worked Example 9

Problem: Continue 2, 7, 12, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 17, 22

Worked Example 10

Problem: Continue 10, 15, 20, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 25, 30

Practice Exercise

Create and solve one new example of Pattern and algebra review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.8 Coding and modelling review

Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A data set is [13, 14, 9, 7, 14]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 14

Worked Example 2

Problem: A data set is [15, 2, 6, 12, 6]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 15

Worked Example 3

Problem: A data set is [7, 5, 13, 11, 7]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 13

Worked Example 4

Problem: A data set is [12, 15, 4, 3, 6]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 15

Worked Example 5

Problem: A data set is [4, 8, 14, 8, 15]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 15

Worked Example 6

Problem: A data set is [13, 5, 14, 13, 10]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 14

Worked Example 7

Problem: A data set is [11, 3, 5, 15, 4]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 15

Worked Example 8

Problem: A data set is [5, 7, 7, 14, 6]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 14

Worked Example 9

Problem: A data set is [3, 5, 9, 11, 3]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 11

Worked Example 10

Problem: A data set is [15, 11, 14, 5, 6]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 15

Practice Exercise

Create and solve one new example of Coding and modelling review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.9 Data and probability review

Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A data set is [5, 4, 9, 7, 4]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 9

Worked Example 2

Problem: A data set is [7, 9, 15, 4, 11]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 15

Worked Example 3

Problem: A data set is [3, 14, 4, 14, 12]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 14

Worked Example 4

Problem: A data set is [4, 14, 6, 7, 7]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 14

Worked Example 5

Problem: A data set is [8, 6, 2, 8, 9]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 9

Worked Example 6

Problem: A data set is [10, 6, 5, 3, 9]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 10

Worked Example 7

Problem: A data set is [8, 12, 10, 12, 5]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 12

Worked Example 8

Problem: A data set is [5, 10, 15, 7, 5]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 15

Worked Example 9

Problem: A data set is [5, 2, 7, 11, 7]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 11

Worked Example 10

Problem: A data set is [10, 4, 14, 10, 12]. What is the greatest value?

  1. Read all the values.
  2. Choose the largest number.

Very beginner explanation: Data questions should be answered from the recorded values or display.

Answer: 14

Practice Exercise

Create and solve one new example of Data and probability review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.10 Spatial sense review

Spatial sense review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 10 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 2

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 10 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 3

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 20 and 16.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 4

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 14 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 5

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 11 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 6

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 15 and 4.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 7

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 2 and 12.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 8

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 7 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 9

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 18 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Worked Example 10

Problem: Create a simple Grade 4 example about Spatial sense review using the numbers 3 and 13.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Spatial sense review.

Practice Exercise

Create and solve one new example of Spatial sense review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.11 Financial literacy review

Financial literacy review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 7 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 2

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 16 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 3

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 11 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 4

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 15 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 5

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 2 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 6

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 20 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 7

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 9 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 8

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 19 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 9

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 2 and 12.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Worked Example 10

Problem: Create a simple Grade 4 example about Financial literacy review using the numbers 19 and 20.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Financial literacy review.

Practice Exercise

Create and solve one new example of Financial literacy review. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

60.12 Problem solving reasoning communicating and checking

Problem solving reasoning communicating and checking is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 20 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 2

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 19 and 15.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 3

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 3 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 4

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 9 and 9.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 5

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 16 and 4.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 6

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 6 and 10.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 7

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 11 and 18.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 8

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 5 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 9

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 9 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Worked Example 10

Problem: Create a simple Grade 4 example about Problem solving reasoning communicating and checking using the numbers 11 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Problem solving reasoning communicating and checking.

Practice Exercise

Create and solve one new example of Problem solving reasoning communicating and checking. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

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30 Review Questions and Answers

Q1. What is important to understand about Number sense review?

Answer: Number sense review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q2. What is important to understand about Fraction review?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q3. What is important to understand about Decimal-tenth review?

Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.

Q4. What is important to understand about Addition and subtraction review?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q5. What is important to understand about Multiplication and division review?

Answer: Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help.

Q6. What is important to understand about Multi-operation problem solving?

Answer: Multi-operation problem solving is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q7. What is important to understand about Pattern and algebra review?

Answer: A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way.

Q8. What is important to understand about Coding and modelling review?

Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.

Q9. What is important to understand about Data and probability review?

Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.

Q10. What is important to understand about Spatial sense review?

Answer: Spatial sense review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q11. What is important to understand about Financial literacy review?

Answer: Financial literacy review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q12. What is important to understand about Problem solving reasoning communicating and checking?

Answer: Problem solving reasoning communicating and checking is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q13. How would you explain Number sense review?

Answer: Number sense review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q14. How would you explain Fraction review?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q15. How would you explain Decimal-tenth review?

Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.

Q16. How would you explain Addition and subtraction review?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q17. How would you explain Multiplication and division review?

Answer: Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help.

Q18. How would you explain Multi-operation problem solving?

Answer: Multi-operation problem solving is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q19. How would you explain Pattern and algebra review?

Answer: A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way.

Q20. How would you explain Coding and modelling review?

Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.

Q21. How would you explain Data and probability review?

Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.

Q22. How would you explain Spatial sense review?

Answer: Spatial sense review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q23. How would you explain Financial literacy review?

Answer: Financial literacy review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q24. How would you explain Problem solving reasoning communicating and checking?

Answer: Problem solving reasoning communicating and checking is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q25. What should a beginner check when working with Number sense review?

Answer: Number sense review is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q26. What should a beginner check when working with Fraction review?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q27. What should a beginner check when working with Decimal-tenth review?

Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.

Q28. What should a beginner check when working with Addition and subtraction review?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q29. What should a beginner check when working with Multiplication and division review?

Answer: Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help.

Q30. What should a beginner check when working with Multi-operation problem solving?

Answer: Multi-operation problem solving is an important Grade 4 mathematics idea in Comprehensive Grade 4 Review and Mathematical Processes. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.