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Capstone Jan 1 - 7 25 questions
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Monday 30 June 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

    Factorise fully: 28x² + 20x

    Answer: 4x(7x + 5)
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 22cm. Find the angle

    Answer: 43.3°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 21. If 3 of them are 36, 21, 17, what is the missing number?

    Answer: 10

Tuesday 1 July 2025

Keystones #1 · 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

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

    Answer: 11
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 23cm. Find the angle

    Answer: 45.9°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 33. If 4 of them are 43, 27, 27, 18, what is the missing number?

    Answer: 50

Wednesday 2 July 2025

Keystones #1 · 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⁄3 = 5.6666666666667

    Answer: x = 17
  3. 3. Geometry

    Find c if a = 16cm and b = 20cm in a right triangle

    Answer: 25.6cm
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄4

Thursday 3 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: (-25) + (-28) + (-14)

    Answer: -67
  2. 2. Algebra

    Solve: x⁄6 = 2.8333333333333

    Answer: x = 17
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 37cm. Find the angle

    Answer: 51.6°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄8

Friday 4 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 108. What are the numbers?

    Answer: 35, 36, and 37
  2. 2. Algebra

    Factorise fully: 12x² + 6x

    Answer: 2x(6x + 3)
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 39cm. Find the angle

    Answer: 60.8°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    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