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Lintel Aug 31 - Sep 6 25 questions
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Monday 31 August 2026

Keystones #243 · Five questions · Open this day only

  1. 1. Number

    550000

    Answer: 5.5 × 105
  2. 2. Algebra

    Factorise: x² + 3x - 4

    Answer: (x + 4)(x - 1)
  3. 3. Geometry

    Adjacent = 30cm, angle = 49°. Find opposite

    Answer: 34.5cm
  4. 4. Ratio

    £182.00 is shared between A and B in the ratio 4:3. How much does A receive?

    Answer: £104.00
  5. 5. Statistics

    Calculate the mean of: 15, 43, 46, 22, 45, 22, 17, 13

    Answer: 27.9

Tuesday 1 September 2026

Keystones #244 · Five questions · Open this day only

  1. 1. Number

    140000

    Answer: 1.4 × 105
  2. 2. Algebra

    Factorise: x² + x - 2

    Answer: (x + 2)(x - 1)
  3. 3. Geometry

    Adjacent = 16cm, angle = 50°. Find opposite

    Answer: 19.cm
  4. 4. Ratio

    £261.00 is shared between A and B in the ratio 4:5. How much does A receive?

    Answer: £116.00
  5. 5. Statistics

    The mean of 6 numbers is 21. If 5 of them are 37, 40, 18, 45, 25, what is the missing number?

    Answer: -39

Wednesday 2 September 2026

Keystones #245 · Five questions · Open this day only

  1. 1. Number

    0.05

    Answer: 5 × 10-2
  2. 2. Algebra

    Factorise: x² - 11x + 30

    Answer: (x - 6)(x - 5)
  3. 3. Geometry

    Hypotenuse = 17cm, angle = 42°. Find adjacent side

    Answer: 12.6cm
  4. 4. Ratio

    In ratio 2:3:3, what fraction is the second part?

    Answer: 38
  5. 5. Statistics

    The mean of 6 numbers is 29. If 5 of them are 24, 34, 50, 29, 40, what is the missing number?

    Answer: -3

Thursday 3 September 2026

Keystones #246 · Five questions · Open this day only

  1. 1. Number

    260000

    Answer: 2.6 × 105
  2. 2. Algebra

    Factorise: x² - 10x + 21

    Answer: (x - 7)(x - 3)
  3. 3. Geometry

    Adjacent = 15cm, angle = 52°. Find opposite

    Answer: 19.2cm
  4. 4. Ratio

    In ratio 4:4:3, what fraction is the second part?

    Answer: 411
  5. 5. Statistics

    Calculate the mean of: 9, 44, 24, 41, 38, 16

    Answer: 28.7

Friday 4 September 2026

Keystones #247 · Five questions · Open this day only

  1. 1. Number

    4600000

    Answer: 4.6 × 106
  2. 2. Algebra

    Factorise: x² - 12x + 35

    Answer: (x - 7)(x - 5)
  3. 3. Geometry

    Adjacent = 10cm, angle = 45°. Find opposite

    Answer: 10cm
  4. 4. Ratio

    Simplify: 9:6:15

    Answer: 3:2:5
  5. 5. Statistics

    The mean of 4 numbers is 39. If 3 of them are 16, 36, 37, what is the missing number?

    Answer: 67