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Capstone Apr 2 - 8 25 questions
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Monday 30 March 2026

Keystones #89 · 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

    Factorise fully: 18x² + 15x

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

    Adjacent = 28cm, hypotenuse = 48cm. Find the angle

    Answer: 54.3°
  4. 4. Ratio

    Calculate 39% of 844

    Answer: 329.16
  5. 5. Statistics

    The mean of 5 numbers is 23. If 4 of them are 25, 41, 48, 23, what is the missing number?

    Answer: -22

Tuesday 31 March 2026

Keystones #90 · 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⁄7 = 3.2857142857143

    Answer: x = 23
  3. 3. Geometry

    Find c if a = 14cm and b = 11cm in a right triangle

    Answer: 17.8cm
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 2⁄5

Wednesday 1 April 2026

Keystones #91 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 132. What are the numbers?

    Answer: 43, 44, and 45
  2. 2. Algebra

    Solve: x⁄8 = 4

    Answer: x = 32
  3. 3. Geometry

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

    Answer: 42°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 6⁄11

Thursday 2 April 2026

Keystones #92 · 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⁄4 = 4.75

    Answer: x = 19
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 43cm. Find the angle

    Answer: 56.1°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 40. If 4 of them are 24, 24, 26, 28, what is the missing number?

    Answer: 98

Friday 3 April 2026

Keystones #93 · Five questions · Open this day only

  1. 1. Number

    Calculate: 997 + 803

    Answer: 1800
  2. 2. Algebra

    Solve: x⁄7 = 4.2857142857143

    Answer: x = 30
  3. 3. Geometry

    Adjacent = 25cm, hypotenuse = 33cm. Find the angle

    Answer: 40.7°
  4. 4. Ratio

    Calculate 29.1% of 542

    Answer: 157.72
  5. 5. Statistics

    The mean of 4 numbers is 30. If 3 of them are 32, 48, 47, what is the missing number?

    Answer: -7