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Capstone Apr 20 - 26 25 questions
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Monday 20 April 2026

Keystones #110 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 6/√5

    Answer: 6√5⁄5
  2. 2. Algebra

    Factorise: 16x² -4x - 12

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

    Adjacent = 24cm, angle = 51°. Find opposite

    Answer: 29.6cm
  4. 4. Ratio

    A price of £563.86 includes a 21% increase. What was the price before the increase?

    Answer: £466.00
  5. 5. Statistics

    The mean of 6 numbers is 20. If 5 of them are 16, 15, 28, 21, 50, what is the missing number?

    Answer: -10

Tuesday 21 April 2026

Keystones #111 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 3/√2

    Answer: 3√2⁄2
  2. 2. Algebra

    Factorise: 6x² -5x - 6

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

    Adjacent = 30cm, angle = 36°. Find opposite

    Answer: 21.8cm
  4. 4. Ratio

    A price of £345.00 includes a 25% increase. What was the price before the increase?

    Answer: £276.00
  5. 5. Statistics

    The mean of 4 numbers is 32. If 3 of them are 21, 25, 16, what is the missing number?

    Answer: 66

Wednesday 22 April 2026

Keystones #112 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 2/√3

    Answer: 2√3⁄3
  2. 2. Algebra

    Factorise: 6x² -6x - 12

    Answer: (2x - 4)(3x + 3)
  3. 3. Geometry

    Adjacent = 28cm, angle = 60°. Find opposite

    Answer: 48.5cm
  4. 4. Ratio

    A price of £696.25 includes a 25% increase. What was the price before the increase?

    Answer: £557.00
  5. 5. Statistics

    The mean of 6 numbers is 36. If 5 of them are 49, 47, 47, 40, 47, what is the missing number?

    Answer: -14

Thursday 23 April 2026

Keystones #113 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 4/√2

    Answer: 4√2⁄2
  2. 2. Algebra

    Factorise: 6x² -4x - 16

    Answer: (2x - 4)(3x + 4)
  3. 3. Geometry

    Adjacent = 14cm, angle = 51°. Find opposite

    Answer: 17.3cm
  4. 4. Ratio

    A price of £582.92 includes a 18% increase. What was the price before the increase?

    Answer: £494.00
  5. 5. Statistics

    The mean of 4 numbers is 28. If 3 of them are 33, 41, 38, what is the missing number?

    Answer: 0

Friday 24 April 2026

Keystones #114 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 5/√5

    Answer: 5√5⁄5
  2. 2. Algebra

    Factorise: 12x² -14x - 10

    Answer: (3x - 5)(4x + 2)
  3. 3. Geometry

    Adjacent = 10cm, angle = 60°. Find opposite

    Answer: 17.3cm
  4. 4. Ratio

    A price of £563.64 includes a 32% increase. What was the price before the increase?

    Answer: £427.00
  5. 5. Statistics

    The mean of 5 numbers is 40. If 4 of them are 18, 29, 37, 22, what is the missing number?

    Answer: 94