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Capstone Jan 1 - 7 25 questions
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Monday 12 May 2025

Keystones #1 · 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

    Factorise fully: 16x² + 16x

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

    Find c if a = 9cm and b = 19cm in a right triangle

    Answer: 21cm
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    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

Tuesday 13 May 2025

Keystones #1 · 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

    Solve: x⁄3 = 2.6666666666667

    Answer: x = 8
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 28cm. Find the angle

    Answer: 47.3°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 34. If 5 of them are 35, 36, 15, 28, 45, what is the missing number?

    Answer: 45

Wednesday 14 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 992 + 752

    Answer: 1744
  2. 2. Algebra

    Simplify: 21x²y³ ÷ 3xy²

    Answer: 7xy
  3. 3. Geometry

    Adjacent = 22cm, hypotenuse = 32cm. Find the angle

    Answer: 46.6°
  4. 4. Ratio

    Calculate 32.1% of 831

    Answer: 266.75
  5. 5. Statistics

    The mean of 6 numbers is 35. If 5 of them are 48, 19, 21, 50, 49, what is the missing number?

    Answer: 23

Thursday 15 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2.46 + 58.52 + 0.571

    Answer: 2.46 + 58.52 + 0.571 = 61.551
  2. 2. Algebra

    Solve: x⁄7 = 2.7142857142857

    Answer: x = 19
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 27cm. Find the angle

    Answer: 45.3°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄7

Friday 16 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2⁄3 + 1⁄3 + 3⁄5

    Answer: 8⁄5
  2. 2. Algebra

    Solve: x⁄3 = 4

    Answer: x = 12
  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 5 numbers is 31. If 4 of them are 30, 46, 47, 19, what is the missing number?

    Answer: 13