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Percentages, area, mean – practice for Years 7–9

Sample questions on Percentages, area, mean with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 7–9
Curriculum area
Problem solving and non-routine tasks

Question types: Matching task

Rule: Percentages, area, mean

p% of a number = the number ÷ 100 × p. Area of a rectangle: A = a × b.

The mean = the sum of the numbers ÷ how many there are.

Example: The mean of 4, 7, 10: (4 + 7 + 10) ÷ 3 = 7

Watch out: Two of the values offered don’t belong anywhere, so work out each task first.

Sample questions

  1. Question 1 Easy

    Match each task (1–3) with the correct result (A–E).

    1. 30% of 80
    2. Area of a rectangle measuring 6 cm × 10 cm (in cm²)
    3. Mean of 8, 7 and -3
    • A) 4
    • B) 41
    • C) 60
    • D) 28
    • E) 24
    Show the solution
    Answer:
    1. 30% of 80 → E) 24
    2. Area of a rectangle measuring 6 cm × 10 cm (in cm²) → C) 60
    3. Mean of 8, 7 and -3 → A) 4

    How it works: 1 → 24; 2 → 60; 3 → 4

  2. Question 2 Normal

    Match each task (1–3) with the correct result (A–E).

    1. 30% of 160
    2. Area of a rectangle measuring 8 cm × 7 cm (in cm²)
    3. Mean of 6, 9 and 9
    • A) 48
    • B) 58
    • C) 56
    • D) 8
    • E) 40
    Show the solution
    Answer:
    1. 30% of 160 → A) 48
    2. Area of a rectangle measuring 8 cm × 7 cm (in cm²) → C) 56
    3. Mean of 6, 9 and 9 → D) 8

    How it works: 1 → 48; 2 → 56; 3 → 8

  3. Question 3 Hard

    Match each task (1–3) with the correct result (A–E).

    1. 25% of 120
    2. Area of a rectangle measuring 4 cm × 9 cm (in cm²)
    3. Mean of 8, 2 and 11
    • A) 38
    • B) 36
    • C) 7
    • D) 30
    • E) 45
    Show the solution
    Answer:
    1. 25% of 120 → D) 30
    2. Area of a rectangle measuring 4 cm × 9 cm (in cm²) → B) 36
    3. Mean of 8, 2 and 11 → C) 7

    How it works: 1 → 30; 2 → 36; 3 → 7

All Maths topics

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