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Capstone Jul 2 - 8 25 questions
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Monday 29 June 2026

Keystones #14 · 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

    Factorise fully: 15x² + 18x

    Answer: 3x(5x + 6)
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 32cm. Find the angle

    Answer: 53.6°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄2

Tuesday 30 June 2026

Keystones #15 · Five questions · Open this day only

  1. 1. Number

    The temperature is -15°C. It rises by 16°C. What is the new temperature?

    Answer: 1°C
  2. 2. Algebra

    Find the next term: 1, 2, 4, 7, ...

    Answer: 11
  3. 3. Geometry

    Adjacent = 21cm, hypotenuse = 35cm. Find the angle

    Answer: 53.1°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 36. If 3 of them are 32, 44, 33, what is the missing number?

    Answer: 35

Wednesday 1 July 2026

Keystones #16 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 138. What are the numbers?

    Answer: 45, 46, and 47
  2. 2. Algebra

    Solve: x⁄7 = 3.1428571428571

    Answer: x = 22
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 33cm. Find the angle

    Answer: 35.1°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 23. If 3 of them are 29, 44, 24, what is the missing number?

    Answer: -5

Thursday 2 July 2026

Keystones #17 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 90. What are the numbers?

    Answer: 29, 30, and 31
  2. 2. Algebra

    Solve: x⁄5 = 6.4

    Answer: x = 32
  3. 3. Geometry

    Adjacent = 12cm, hypotenuse = 31cm. Find the angle

    Answer: 67.2°
  4. 4. Ratio

    Calculate 23.7% of 915

    Answer: 216.86
  5. 5. Statistics

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

    Answer: 3⁄8

Friday 3 July 2026

Keystones #18 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 99. What are the numbers?

    Answer: 32, 33, and 34
  2. 2. Algebra

    Solve: x⁄6 = 1.1666666666667

    Answer: x = 7
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 33cm. Find the angle

    Answer: 45.8°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 2 red, 6 blue and 4 green sections. Probability of landing on red?

    Answer: 1⁄6