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Capstone Jul 30 - Aug 5 25 questions
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Monday 27 July 2026

Keystones #42 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 114. What are the numbers?

    Answer: 37, 38, and 39
  2. 2. Algebra

    Solve: x⁄5 = 6.2

    Answer: x = 31
  3. 3. Geometry

    Adjacent = 25cm, hypotenuse = 35cm. Find the angle

    Answer: 44.4°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 5⁄12

Tuesday 28 July 2026

Keystones #43 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 123. What are the numbers?

    Answer: 40, 41, and 42
  2. 2. Algebra

    Solve: x⁄2 = 17

    Answer: x = 34
  3. 3. Geometry

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

    Answer: 60°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 5⁄12

Wednesday 29 July 2026

Keystones #44 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 93. What are the numbers?

    Answer: 30, 31, and 32
  2. 2. Algebra

    Factorise fully: 20x² + 20x

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

    A right triangle has hypotenuse 5cm and one side 3cm. Find its area

    Answer: 6cm²
  4. 4. Ratio

    Calculate 47% of 493

    Answer: 231.71
  5. 5. Statistics

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

    Answer: 2⁄5

Thursday 30 July 2026

Keystones #45 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 120. What are the numbers?

    Answer: 39, 40, and 41
  2. 2. Algebra

    Find the next term: 1, 4, 10, 19, ...

    Answer: 31
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 36cm. Find the angle

    Answer: 36.3°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 20. If 3 of them are 18, 38, 24, what is the missing number?

    Answer: 0

Friday 31 July 2026

Keystones #46 · Five questions · Open this day only

  1. 1. Number

    Calculate: 998 + 692

    Answer: 1690
  2. 2. Algebra

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

    Answer: 21
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 39cm. Find the angle

    Answer: 42°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 6 red, 2 blue and 3 green sections. Probability of landing on red?

    Answer: 6⁄11