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Capstone Nov 2 - 8 25 questions
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Monday 2 November 2026

Keystones #306 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 5/√3

    Answer: 5√3⁄3
  2. 2. Algebra

    Factorise: 8x² + 16x - 10

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

    Adjacent = 27cm, angle = 34°. Find opposite

    Answer: 18.2cm
  4. 4. Ratio

    A price of £748.12 includes a 18% increase. What was the price before the increase?

    Answer: £634.00
  5. 5. Statistics

    The mean of 4 numbers is 37. If 3 of them are 24, 32, 25, what is the missing number?

    Answer: 67

Tuesday 3 November 2026

Keystones #307 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 3/√5

    Answer: 3√5⁄5
  2. 2. Algebra

    Factorise: 8x² -12x - 20

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

    Adjacent = 15cm, angle = 55°. Find opposite

    Answer: 21.4cm
  4. 4. Ratio

    A price of £686.25 includes a 25% increase. What was the price before the increase?

    Answer: £549.00
  5. 5. Statistics

    The mean of 4 numbers is 22. If 3 of them are 25, 46, 43, what is the missing number?

    Answer: -26

Wednesday 4 November 2026

Keystones #308 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 4/√5

    Answer: 4√5⁄5
  2. 2. Algebra

    Factorise: 12x² + x - 20

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

    Adjacent = 11cm, angle = 47°. Find opposite

    Answer: 11.8cm
  4. 4. Ratio

    A price of £462.28 includes a 27% increase. What was the price before the increase?

    Answer: £364.00
  5. 5. Statistics

    The mean of 6 numbers is 37. If 5 of them are 42, 30, 37, 29, 38, what is the missing number?

    Answer: 46

Thursday 5 November 2026

Keystones #309 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 6/√2

    Answer: 6√2⁄2
  2. 2. Algebra

    Factorise: 12x² + 2x - 4

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

    Adjacent = 14cm, angle = 45°. Find opposite

    Answer: 14cm
  4. 4. Ratio

    A price of £273.98 includes a 33% increase. What was the price before the increase?

    Answer: £206.00
  5. 5. Statistics

    The mean of 5 numbers is 28. If 4 of them are 46, 39, 31, 40, what is the missing number?

    Answer: -16

Friday 6 November 2026

Keystones #310 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 4/√3

    Answer: 4√3⁄3
  2. 2. Algebra

    Factorise: 4x² + 6x - 10

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

    Adjacent = 23cm, angle = 30°. Find opposite

    Answer: 13.3cm
  4. 4. Ratio

    A price of £333.20 includes a 19% increase. What was the price before the increase?

    Answer: £280.00
  5. 5. Statistics

    The mean of 4 numbers is 40. If 3 of them are 22, 50, 35, what is the missing number?

    Answer: 53