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Capstone Jun 18 - 24 25 questions
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Monday 15 June 2026

Keystones #166 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄2 + 2⁄4 + 1⁄2

    Answer: 3⁄2
  2. 2. Algebra

    Solve: x⁄2 = 9

    Answer: x = 18
  3. 3. Geometry

    A right triangle has hypotenuse 13cm and one side 5cm. Find its area

    Answer: 30cm²
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 6 red, 2 blue and 6 green sections. Probability of landing on red?

    Answer: 3⁄7

Tuesday 16 June 2026

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 102. What are the numbers?

    Answer: 33, 34, and 35
  2. 2. Algebra

    Factorise fully: 10x² + 15x

    Answer: 5x(2x + 3)
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 47cm. Find the angle

    Answer: 50.3°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 31. If 5 of them are 33, 40, 50, 24, 17, what is the missing number?

    Answer: 22

Wednesday 17 June 2026

Keystones #2 · Five questions · Open this day only

  1. 1. Number

    Calculate: 990 + 756

    Answer: 1746
  2. 2. Algebra

    Solve: x⁄4 = 10

    Answer: x = 40
  3. 3. Geometry

    Adjacent = 13cm, hypotenuse = 26cm. Find the angle

    Answer: 60°
  4. 4. Ratio

    Calculate 46.1% of 754

    Answer: 347.59
  5. 5. Statistics

    The mean of 5 numbers is 27. If 4 of them are 50, 41, 47, 15, what is the missing number?

    Answer: -18

Thursday 18 June 2026

Keystones #3 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 129. What are the numbers?

    Answer: 42, 43, and 44
  2. 2. Algebra

    Solve: x⁄5 = 4.6

    Answer: x = 23
  3. 3. Geometry

    Adjacent = 22cm, hypotenuse = 30cm. Find the angle

    Answer: 42.8°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 3 red, 6 blue and 3 green sections. Probability of landing on red?

    Answer: 1⁄4

Friday 19 June 2026

Keystones #4 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 117. What are the numbers?

    Answer: 38, 39, and 40
  2. 2. Algebra

    Solve: x⁄3 = 4

    Answer: x = 12
  3. 3. Geometry

    Find the distance between (-7, 1) and (8, 11)

    Answer: 18.03
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 4 red, 3 blue and 5 green sections. Probability of landing on red?

    Answer: 1⁄3