Change pack
Capstone Mar 2 - 8 25 questions
PDF (questions) PDF (answers)

Monday 2 March 2026

Keystones #61 · Five questions · Open this day only

  1. 1. Number

    Rationalise the denominator: 6/√12

    Answer: √3 (or 3√3⁄3)
  2. 2. Algebra

    Factorise: 8x² + 8x - 6

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

    Adjacent = 12cm, angle = 57°. Find opposite

    Answer: 18.5cm
  4. 4. Ratio

    A price of £776.25 includes a 35% increase. What was the price before the increase?

    Answer: £575.00
  5. 5. Statistics

    The mean of 6 numbers is 31. If 5 of them are 16, 43, 33, 38, 45, what is the missing number?

    Answer: 11

Tuesday 3 March 2026

Keystones #62 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 5/√2

    Answer: 5√2⁄2
  2. 2. Algebra

    Factorise: 12x² + 11x - 15

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

    Adjacent = 25cm, angle = 37°. Find opposite

    Answer: 18.8cm
  4. 4. Ratio

    A price of £360.25 includes a 31% increase. What was the price before the increase?

    Answer: £275.00
  5. 5. Statistics

    The mean of 4 numbers is 35. If 3 of them are 33, 32, 45, what is the missing number?

    Answer: 30

Wednesday 4 March 2026

Keystones #63 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 4/√3

    Answer: 4√3⁄3
  2. 2. Algebra

    Factorise: 8x² -4x - 12

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

    Adjacent = 28cm, angle = 35°. Find opposite

    Answer: 19.6cm
  4. 4. Ratio

    A price of £823.20 includes a 20% increase. What was the price before the increase?

    Answer: £686.00
  5. 5. Statistics

    The mean of 5 numbers is 27. If 4 of them are 37, 16, 23, 49, what is the missing number?

    Answer: 10

Thursday 5 March 2026

Keystones #64 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 6/√2

    Answer: 6√2⁄2
  2. 2. Algebra

    Factorise: 6x² + 9x - 15

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

    Adjacent = 22cm, angle = 47°. Find opposite

    Answer: 23.6cm
  4. 4. Ratio

    A price of £758.67 includes a 21% increase. What was the price before the increase?

    Answer: £627.00
  5. 5. Statistics

    The mean of 5 numbers is 35. If 4 of them are 22, 44, 47, 47, what is the missing number?

    Answer: 15

Friday 6 March 2026

Keystones #65 · Five questions · Open this day only

  1. 1. Number

    Rationalise: 6/√5

    Answer: 6√5⁄5
  2. 2. Algebra

    Factorise: 8x² -6x - 9

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

    Adjacent = 18cm, angle = 30°. Find opposite

    Answer: 10.4cm
  4. 4. Ratio

    A price of £669.44 includes a 28% increase. What was the price before the increase?

    Answer: £523.00
  5. 5. Statistics

    The mean of 6 numbers is 33. If 5 of them are 35, 36, 43, 47, 43, what is the missing number?

    Answer: -6