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Capstone Aug 13 - 19 25 questions
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Monday 10 August 2026

Keystones #56 · 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⁄5 = 6.2

    Answer: x = 31
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 31cm. Find the angle

    Answer: 52.2°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 25. If 4 of them are 47, 30, 35, 23, what is the missing number?

    Answer: -10

Tuesday 11 August 2026

Keystones #57 · 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

    Simplify: 26x²y³ ÷ 3xy²

    Answer: 8.6666666666667xy
  3. 3. Geometry

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

    Answer: 60°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    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

Wednesday 12 August 2026

Keystones #58 · 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⁄2 = 13

    Answer: x = 26
  3. 3. Geometry

    Adjacent = 25cm, hypotenuse = 43cm. Find the angle

    Answer: 54.5°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄5

Thursday 13 August 2026

Keystones #59 · Five questions · Open this day only

  1. 1. Number

    Calculate: 4⁄5 + 3⁄4 + 4⁄6

    Answer: 133⁄60
  2. 2. Algebra

    Solve: x⁄4 = 3

    Answer: x = 12
  3. 3. Geometry

    Adjacent = 28cm, hypotenuse = 33cm. Find the angle

    Answer: 32°
  4. 4. Ratio

    Calculate 20.4% of 380

    Answer: 77.52
  5. 5. Statistics

    The mean of 4 numbers is 38. If 3 of them are 46, 37, 30, what is the missing number?

    Answer: 39

Friday 14 August 2026

Keystones #60 · Five questions · Open this day only

  1. 1. Number

    Calculate: 997 + 624

    Answer: 1621
  2. 2. Algebra

    Expand: 8(8x - 2)

    Answer: 64x - 16
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 39cm. Find the angle

    Answer: 46.2°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    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