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Year 9 Maths revision questions

Year 9 is the awkward bridge year: still Key Stage 3 in school life, but already starting GCSE habits. This page gives free Year 9 Maths practice from GradeNinja's own bank - 58 auto-marked questions across 2 Year 9 topic sets.

What Year 9 revision should do

The aim is not to cram GCSE papers early. It is to make the first GCSE topics feel normal: short retrieval practice, clear corrections, and enough repetition that classwork sticks before Year 10 gets busy.

Use these as ten-minute checks after a lesson or before homework. If you miss one, read the explanation, then come back tomorrow and answer it cold.

How GradeNinja pitches it

Year 9 questions are pulled from late Key Stage 3 and foundation GCSE bridge material. They should feel harder than Year 8, but they are not meant to be full Year 11 exam questions.

Year 9 (Starting GCSE) - Practice Mix62 questions
Year 9 (Starting GCSE)18 questions

Best way to use this page

Answer first, then reveal. The useful bit is the retrieval attempt, not reading the answer. If a topic keeps going wrong, paste the homework or Google Classroom text into GradeNinja's Classroom import tool and turn it into a focused pack.

Year 9 Maths practice questions

Real questions from GradeNinja's own bank, with the answer and the explanation the app gives. Tap to reveal.

Question 1 · Year 9 (Starting GCSE) - Practice Mix
What is the angle in a semicircle (angle subtended by a diameter)?
  1. 45°
  2. 60°
  3. 90°
  4. 180°
Show the answer

90°

The angle in a semicircle is always 90°. Any angle subtended by a diameter at the circumference is a right angle.

Question 2 · Year 9 (Starting GCSE) - Practice Mix
Write 360 as a product of its prime factors.
  1. 2³ × 3² × 5
  2. 2² × 3 × 5²
  3. 2 × 3³ × 5
  4. 2⁴ × 3 × 5
Show the answer

2³ × 3² × 5

360 = 2 × 180 = 2 × 2 × 90 = 2 × 2 × 2 × 45 = 2 × 2 × 2 × 9 × 5 = 2³ × 3² × 5.

Question 3 · Year 9 (Starting GCSE)
In a right-angled triangle, sin θ =
  1. opposite ÷ hypotenuse
  2. adjacent ÷ hypotenuse
  3. opposite ÷ adjacent
  4. hypotenuse ÷ opposite
Show the answer

opposite ÷ hypotenuse

Remember SOH-CAH-TOA. SOH: Sin = Opposite / Hypotenuse. CAH: Cos = Adjacent / Hypotenuse. TOA: Tan = Opposite / Adjacent. The hypotenuse is always the longest side, opposite the right angle.

Question 4 · Year 9 (Starting GCSE)
A line has equation y = 4x - 3. What is its gradient?
  1. -3
  2. 1
  3. 3
  4. 4
Show the answer

4

In y = mx + c, the gradient is m. Here m = 4, so the gradient is 4.

Question 5 · Year 9 (Starting GCSE) - Practice Mix
Write 45,000 in standard form.
  1. 4.5 × 10⁴
  2. 4.5 × 10³
  3. 45 × 10³
  4. 0.45 × 10⁵
Show the answer

4.5 × 10⁴

Standard form needs a number between 1 and 10 multiplied by a power of 10. 45,000 = 4.5 × 10⁴.

Question 6 · Year 9 (Starting GCSE)
Which is 0.00047 written in standard form?
  1. 4.7 × 10^-4
  2. 47 × 10^-5
  3. 4.7 × 10^4
  4. 0.47 × 10^-3
Show the answer

4.7 × 10^-4

Standard form needs a number from 1 up to 10 multiplied by a power of 10. Moving 0.00047 four places gives 4.7 × 10^-4.

Question 7 · Year 9 (Starting GCSE) - Practice Mix
Simplify the ratio 24:36.
  1. 3:4
  2. 2:3
  3. 4:6
  4. 6:9
Show the answer

2:3

The HCF of 24 and 36 is 12. Dividing both by 12 gives 2:3.

Question 8 · Year 9 (Starting GCSE) - Practice Mix
Factorise: x² + 5x + 6
  1. (x + 2)(x + 3)
  2. (x + 1)(x + 6)
  3. (x + 6)(x – 1)
  4. (x – 2)(x – 3)
Show the answer

(x + 2)(x + 3)

We need two numbers that multiply to 6 and add to 5: those are 2 and 3. So x² + 5x + 6 = (x + 2)(x + 3).

Question 9 · Year 9 (Starting GCSE)
Expand and simplify (x + 3)(x − 2).
  1. x² + x − 6
  2. x² − x − 6
  3. x² + x + 6
  4. x² + 5x − 6
Show the answer

x² + x − 6

Use FOIL: First (x × x = x²), Outer (x × −2 = −2x), Inner (3 × x = 3x), Last (3 × −2 = −6). Collect like terms: x² + (−2x + 3x) − 6 = x² + x − 6. FOIL always works for expanding double brackets.

Question 10 · Year 9 (Starting GCSE) - Practice Mix
In set notation, ∪ means:
  1. Union (all elements in either set)
  2. Intersection (elements in both sets)
  3. Complement
  4. Subset
Show the answer

Union (all elements in either set)

In set notation, the symbol ∪ represents the union of two sets, which includes all elements that are in either set. This means if an element is in set A or set B, it is included in A ∪ B. Key concept: union combines elements from both sets.

Question 11 · Year 9 (Starting GCSE) - Practice Mix
£240 is shared in the ratio 3:5. What is the larger share?
  1. £80
  2. £90
  3. £150
  4. £160
Show the answer

£150

Total parts = 3 + 5 = 8. One part = 240 ÷ 8 = £30. Larger share = 5 × 30 = £150.

Question 12 · Year 9 (Starting GCSE)
Solve these simultaneous equations: x + y = 5 and 2x + 3y = 12. What is x?
  1. 3
  2. 2
  3. 4
  4. 1
Show the answer

3

From equation 1: x = 5 − y. Substitute into equation 2: 2(5 − y) + 3y = 12 → 10 − 2y + 3y = 12 → y = 2. Then x = 5 − 2 = 3. Check: 3 + 2 = 5 ✓ and 2(3) + 3(2) = 6 + 6 = 12 ✓.

Question 13 · Year 9 (Starting GCSE) - Practice Mix
A right-angled triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?
  1. 10 cm
  2. 12 cm
  3. 14 cm
  4. √100 cm
Show the answer

10 cm

Pythagoras: c² = 6² + 8² = 36 + 64 = 100. c = √100 = 10 cm.

Question 14 · Year 9 (Starting GCSE)
A cumulative frequency graph is used to find:
  1. The median and interquartile range
  2. The mean only
  3. The mode only
  4. Correlation between two variables
Show the answer

The median and interquartile range

Cumulative frequency graphs let you read off the median (at the 50th percentile), lower quartile Q1 (25th percentile), and upper quartile Q3 (75th percentile). The interquartile range (IQR) = Q3 − Q1 and measures the spread of the middle 50% of data.

Question 15 · Year 9 (Starting GCSE) - Practice Mix
If f(x) = 3x + 2, what is f(4)?
  1. 14
  2. 12
  3. 16
  4. 10
Show the answer

14

Substituting x = 4 into the function f(x) = 3x + 2 gives f(4) = 3(4) + 2 = 14. This demonstrates how to evaluate a linear function.

Question 16 · Year 9 (Starting GCSE) - Practice Mix
Probability is measured on a scale from:
  1. 0 to 1
  2. -1 to 1
  3. 0 to 100
  4. 0 to 10
Show the answer

0 to 1

Probability ranges from 0 (impossible) to 1 (certain).

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Common questions

Are these Year 9 Maths questions GCSE level?

They are bridge questions: harder than early Key Stage 3, but not pitched as full Year 11 GCSE exam papers. The point is to prepare the habits and core knowledge early.

Can I use Google Classroom homework with GradeNinja?

Yes. Use Classroom import in the app: paste the Google Classroom post, homework email or assignment brief and it turns the topics into practice questions and flashcards.

How often should a Year 9 revise Maths?

Short and often. Ten minutes after a lesson or a few times a week is more useful than one long session before a test.

Is GradeNinja free for Year 9?

Yes, signing up is free. GradeNinja has Year 9 bridge content plus the wider question bank across 28 subjects.

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