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Capstone May 21 - 27 25 questions
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Monday 18 May 2026

Keystones #138 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2⁄6 + 1⁄6 + 1⁄6

    Answer: 2⁄3
  2. 2. Algebra

    Factorise fully: 20x² + 35x

    Answer: 5x(4x + 7)
  3. 3. Geometry

    Adjacent = 15cm, hypotenuse = 28cm. Find the angle

    Answer: 57.6°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 38. If 5 of them are 15, 48, 37, 24, 24, what is the missing number?

    Answer: 80

Tuesday 19 May 2026

Keystones #139 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 105. What are the numbers?

    Answer: 34, 35, and 36
  2. 2. Algebra

    Solve: x⁄2 = 5.5

    Answer: x = 11
  3. 3. Geometry

    Adjacent = 20cm, hypotenuse = 26cm. Find the angle

    Answer: 39.7°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 2 red, 6 blue and 5 green sections. Probability of landing on red?

    Answer: 2⁄13

Wednesday 20 May 2026

Keystones #140 · Five questions · Open this day only

  1. 1. Number

    Calculate: 5⁄6 + 1⁄2 + 3⁄5

    Answer: 29⁄15
  2. 2. Algebra

    Expand: 8(2x - 11)

    Answer: 16x - 88
  3. 3. Geometry

    Find the distance between (0, -5) and (7, 6)

    Answer: 13.04
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 5⁄14

Thursday 21 May 2026

Keystones #141 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 126. What are the numbers?

    Answer: 41, 42, and 43
  2. 2. Algebra

    Factorise fully: 28x² + 20x

    Answer: 4x(7x + 5)
  3. 3. Geometry

    Adjacent = 17cm, hypotenuse = 26cm. Find the angle

    Answer: 49.2°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 33. If 3 of them are 40, 21, 22, what is the missing number?

    Answer: 49

Friday 22 May 2026

Keystones #142 · 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

    Find the next term: 1, 3, 7, 13, ...

    Answer: 21
  3. 3. Geometry

    Adjacent = 20cm, hypotenuse = 38cm. Find the angle

    Answer: 58.2°
  4. 4. Ratio

    Calculate 10.5% of 580

    Answer: 60.9
  5. 5. Statistics

    A spinner has 6 red, 5 blue and 3 green sections. Probability of landing on red?

    Answer: 3⁄7