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Capstone Jun 18 - 24 25 questions
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Monday 22 June 2026

Keystones #7 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 141. What are the numbers?

    Answer: 46, 47, and 48
  2. 2. Algebra

    Solve: x⁄7 = 2.5714285714286

    Answer: x = 18
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 34cm. Find the angle

    Answer: 47.4°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 2⁄7

Tuesday 23 June 2026

Keystones #8 · Five questions · Open this day only

  1. 1. Number

    Simplify: √8 + √18

    Answer: 2√2 + 3√2 = 5√2
  2. 2. Algebra

    Factorise fully: 4x² + 6x

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

    Adjacent = 14cm, hypotenuse = 33cm. Find the angle

    Answer: 64.9°
  4. 4. Ratio

    Calculate 14.6% of 220

    Answer: 32.12
  5. 5. Statistics

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

    Answer: 3⁄14

Wednesday 24 June 2026

Keystones #9 · 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

    Simplify: 6x - 5x + 9y - 7y

    Answer: x + 2y
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 31cm. Find the angle

    Answer: 39.3°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 26. If 3 of them are 29, 49, 29, what is the missing number?

    Answer: -3

Thursday 25 June 2026

Keystones #10 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄3 + 3⁄4 + 5⁄6

    Answer: 23⁄12
  2. 2. Algebra

    Solve: x⁄7 = 1

    Answer: x = 7
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 50cm. Find the angle

    Answer: 53.1°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 34. If 3 of them are 34, 41, 30, what is the missing number?

    Answer: 31

Friday 26 June 2026

Keystones #11 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 150. What are the numbers?

    Answer: 49, 50, and 51
  2. 2. Algebra

    Solve: x⁄5 = 7

    Answer: x = 35
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 34cm. Find the angle

    Answer: 61.9°
  4. 4. Ratio

    Calculate 24% of 292

    Answer: 70.08
  5. 5. Statistics

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

    Answer: 5⁄13