Maths becomes easier when students practise regularly and understand the steps behind each answer. These Grade 6 maths practice worksheets cover important topics, provide worked examples and include answers to help students revise concepts, improve problem-solving skills and prepare for classroom tests and exams.

In this guide, we will look at some important Grade 6 maths topics, solve simple examples and provide practice questions with an answer key.

1. Whole Numbers

Whole numbers are numbers without fractions or decimals. They include zero and all positive counting numbers.

Examples: 0, 1, 2, 3, 4, 5, 100 and 1,000.

Worked example

Calculate:

3,485 + 2,316

Step 1: Add the ones: 5 + 6 = 11.

Step 2: Add the tens: 8 + 1, with the carried 1, gives 10.

Step 3: Continue adding the hundreds and thousands.

Answer: 5,801

Try this:
Calculate 4,725 + 3,168.

2. Fractions

A fraction represents part of a whole. It has a numerator (the top number) and a denominator (the bottom number).

For example, in 3/4:

• 3 is the numerator.
• 4 is the denominator.

Worked example: Adding fractions

Calculate:

1/4 + 2/4

The denominators are the same, so add the numerators and keep the denominator.

(1 + 2)/4 = 3/4

Worked example: Simplifying fractions

Simplify 6/8.

Divide the numerator and denominator by their highest common factor, 2.

6 ÷ 2 = 3
8 ÷ 2 = 4

Answer: 3/4

For more explanations, read our Grade 6 Fractions Simple Guide.

3. Decimals

Decimals are numbers that contain a decimal point. They are used to represent parts of a whole.

Examples: 0.5, 1.25, 3.75 and 12.08.

Worked example: Adding decimals

Calculate:

3.45 + 2.30

Write the numbers so their decimal points are aligned:

3.45

• 2.30
  = 5.75

Remember: Always line up the decimal points before adding or subtracting decimals.

Try this:
Calculate 7.60 − 4.25.

4. Percentages

A percentage means a number out of 100. The symbol for percentage is %.

For example:

50% = 50/100 = 1/2

Worked example

Find 25% of 80.

Step 1: Convert 25% into a fraction: 25/100.

Step 2: Multiply by 80.

25/100 × 80 = 20

So, 25% of 80 is 20.

Try this:
Find 10% of 150.

5. HCF and LCM

HCF means Highest Common Factor. It is the largest number that divides two or more numbers exactly.

LCM means Lowest Common Multiple. It is the smallest positive number that is a multiple of two or more numbers.

Worked example: Find the HCF of 12 and 18

Factors of 12: 1, 2, 3, 4, 6, 12.

Factors of 18: 1, 2, 3, 6, 9, 18.

The highest common factor is 6.

Worked example: Find the LCM of 4 and 6

Multiples of 4: 4, 8, 12, 16, 20.

Multiples of 6: 6, 12, 18, 24.

The lowest common multiple is 12.

For more step-by-step practice, visit our HCF and LCM for Grade 6 guide.

6. Basic Geometry

Geometry is the branch of mathematics that studies shapes, lines, angles and measurements.

Some important shapes include:

• Triangle: A shape with three sides.
• Square: A shape with four equal sides and four right angles.
• Rectangle: A shape with opposite sides equal and four right angles.
• Circle: A round shape with no straight sides.

Worked example: Area of a rectangle

Formula:

Area = Length × Width

If a rectangle has a length of 8 cm and a width of 5 cm:

Area = 8 × 5 = 40 cm²

Remember to write square units when giving an area answer.

7. Grade 6 Maths Practice Worksheets and Questions

Try these questions without looking at the answers first.

1. Calculate 2,456 + 1,327.
2. Calculate 5,000 − 2,685.
3. Simplify the fraction 8/12.
4. Calculate 2/5 + 1/5.
5. Calculate 4.25 + 3.50.
6. Calculate 9.80 − 3.45.
7. Find 20% of 60.
8. Find the HCF of 8 and 12.
9. Find the LCM of 3 and 5.
10. Find the area of a rectangle with length 9 cm and width 4 cm.

8. Answer Key

1. 3,783
2. 2,315
3. 2/3
4. 3/5
5. 7.75
6. 6.35
7. 12
8. 4
9. 15
10. 36 cm²

Check your answers and try the questions again if you made a mistake. Understanding the method is more important than simply memorising the answer.

9. How to Improve Your Grade 6 Maths Skills

Here are some simple ways to make maths practice more effective:

• Practise for 15–20 minutes each day.
• Review one topic at a time.
• Write down every step when solving a problem.
• Check your answers and correct mistakes.
• Practise different types of questions before a test.

Regular practice can help students become more confident and accurate in maths.

Get More Free Grade 6 Maths Practice

Looking for printable questions to practise at home or in the classroom?

Download our 20 Free Grade 6 Maths Worksheets PDF. The worksheets provide additional practice and include an answer key.

If you want more structured revision, explore our Grade 6 Maths Mega Worksheet Pack, a printable resource designed for extra practice and exam preparation.

Keep practising, learn from your mistakes and take one maths topic at a time.