Year 6 Math Practice Questions and Topics
Year 6 (ages 10–11) is primary school's exam-preparation year, and the content reflects that: it consolidates and extends everything from Years 3–5 rather than introducing much that's brand new. Children work with fractions, decimals and percentages fluently and interchangeably, use order of operations (BODMAS/BIDMAS) correctly in multi-step calculations, calculate area and volume of more complex shapes, work with ratio for the first time, meet basic algebra (using a letter to stand for an unknown number), plot coordinates, and interpret more complex statistics and charts.
By the end of Year 6, a child should apply BODMAS correctly to a calculation with several operations, convert fluently between fractions, decimals and percentages, solve simple ratio problems, understand what a simple algebraic expression like "3n + 2" represents, and plot and read coordinates in all four quadrants.
The most common difficulty is order of operations — BODMAS is easy to state as a rule but genuinely hard to apply consistently under pressure, especially in a calculation that mixes brackets, multiplication and addition in a way that doesn't match how the child would naturally read it left to right. The second frequent struggle is ratio, specifically distinguishing it from fraction problems that look similar on the surface — "share £20 in the ratio 2:3" is a different kind of calculation from "find 2/3 of £20," and children who've only just met ratio often default to whichever method they're more comfortable with, whether or not it's the right one for the question.
Year 6 exists to consolidate everything primary school has built, and it directly determines how ready a child is for Year 7's move into secondary school, where algebra stops being an occasional topic and becomes a constant thread, and where the pace assumes this year's content is already solid, not still being learned.
The most useful thing a parent can do this year is mixed, varied practice rather than repeating one topic in isolation — since the real skill being tested is recognising which method a problem needs, not just executing any one method well. Working through a few multi-step problems together, out loud, talking through the decision of what to do first, mirrors exactly what Year 6 assessment actually demands.
10 topics · 100 practice questions available
Topics covered
Y6m Bodmas
10 questionsY6m Bodmas
Y6m Fractions
10 questionsY6m Fractions
Y6m Percentages
10 questionsY6m Percentages
Y6m Ratio
10 questionsY6m Ratio
Y6m Algebra
10 questionsY6m Algebra
Y6m Area Volume
10 questionsY6m Area Volume
Y6m Angles Circles
10 questionsY6m Angles Circles
Y6m Coordinates
10 questionsY6m Coordinates
Y6m Statistics
10 questionsY6m Statistics
Y6m Problem Solving
10 questionsY6m Problem Solving
Sample questions by topic
18 sample questions across every topic above — a small slice of the full bank, with the answer and full explanation shown for each.
Y6m Bodmas
What is 5 + 3 × 2?
- 13
- 16
- 11✓ Correct
- 10
Why: Do the multiplication first: 3 × 2 = 6, then 5 + 6 = 11.
What is 20 − 4 × 3?
- 8✓ Correct
- 12
- 16
- 48
Why: Multiply first: 4 × 3 = 12, then 20 − 12 = 8.
What is 6 × (5 − 2) + 4?
- 22✓ Correct
- 28
- 16
- 32
Why: Brackets: 5 − 2 = 3. Then 6 × 3 = 18, plus 4 = 22.
What is (12 − 4) ÷ 2 + 5²?
- 9
- 21
- 29✓ Correct
- 33
Why: Brackets: 8. Then 8 ÷ 2 = 4, and 5² = 25, so 4 + 25 = 29.
Y6m Fractions
What is 1/2 + 1/3?
- 2/5
- 1/6
- 5/6✓ Correct
- 2/6
Why: Common denominator 6: 3/6 + 2/6 = 5/6.
What is 3/4 × 2/5?
- 5/9
- 3/20
- 6/20 only
- 3/10✓ Correct
Why: Multiply across: 6/20, which simplifies to 3/10.
What is 1/2 ÷ 1/4?
- 8
- 4
- 2✓ Correct
- 1
Why: Dividing by 1/4 is the same as multiplying by 4: 1/2 × 4 = 2.
What is 3/4 ÷ 1/2?
- 3/2✓ Correct
- 1/2
- 6/4 only
- 3/8
Why: Dividing by 1/2 means multiplying by 2: 3/4 × 2 = 3/2.
Y6m Percentages
What is 10% of 460?
- 46✓ Correct
- 146
- 60
- 4.6
Why: 460 ÷ 10 = 46.
What is 35% of 200?
- 70✓ Correct
- 700
- 65
- 35
Why: 10% is 20, so 35% is 70.
Decrease 150 by 20%.
- 180
- 30
- 120✓ Correct
- 130
Why: 20% of 150 is 30, so 150 − 30 = 120.
A price rises from £40 to £46. What is the percentage increase?
- 6%
- 12%
- 20%
- 15%✓ Correct
Why: Increase is £6, and 6 ÷ 40 × 100 = 15%.
Y6m Ratio
Share 90 in the ratio 2 : 3. What is the larger share?
- 60
- 54✓ Correct
- 45
- 36
Why: 5 parts, one part = 18, larger = 3 × 18 = 54.
The ratio of boys to girls is 3 : 5. There are 15 boys. How many girls?
- 20
- 9
- 25✓ Correct
- 45
Why: One part = 5, so girls = 5 × 5 = 25.
Y6m Algebra
If y = 6, what is 2y + 5?
- 17✓ Correct
- 13
- 11
- 23
Why: 2 × 6 = 12, plus 5 = 17.
Solve 4x = 28.
- 7✓ Correct
- 24
- 112
- 32
Why: 28 ÷ 4 = 7.
Y6m Area Volume
Find the area of a parallelogram with base 9 cm and height 5 cm.
- 22.5
- 45✓ Correct
- 28
- 14
Why: Area = base × height = 9 × 5 = 45 cm².
Y6m Angles Circles
A triangle has angles 55° and 65°. Find the third.
- 70
- 50
- 60✓ Correct
- 120
Why: 180 − 55 − 65 = 60°.
Get unlimited Math practice for Year 6
Free to sign up — track progress, earn mastery badges, and practise every topic above.
Sign up free