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Lintel Oct 19 - 25 25 questions
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Monday 19 October 2026

Keystones #292 · Five questions · Open this day only

  1. 1. Number

    45000

    Answer: 4.5 × 104
  2. 2. Algebra

    Factorise: x² - 12x + 35

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

    Hypotenuse = 30cm, angle = 60°. Find adjacent side

    Answer: 15cm
  4. 4. Ratio

    Divide 90 in the ratio 3:2:4

    Answer: 30, 20 and 40
  5. 5. Statistics

    The mean of 5 numbers is 24. If 4 of them are 21, 17, 19, 43, what is the missing number?

    Answer: 20

Tuesday 20 October 2026

Keystones #293 · Five questions · Open this day only

  1. 1. Number

    0.0036

    Answer: 3.6 × 10-3
  2. 2. Algebra

    Factorise: x² - 7x + 12

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

    Adjacent = 23cm, angle = 55°. Find opposite

    Answer: 32.8cm
  4. 4. Ratio

    Divide 225 in the ratio 4:2:3

    Answer: 100, 50 and 75
  5. 5. Statistics

    Calculate the mean of: 47, 11, 37, 36, 13, 46, 19

    Answer: 29.9

Wednesday 21 October 2026

Keystones #294 · Five questions · Open this day only

  1. 1. Number

    470000

    Answer: 4.7 × 105
  2. 2. Algebra

    Factorise: x² + 2x - 35

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

    Hypotenuse = 19cm, angle = 43°. Find adjacent side

    Answer: 13.9cm
  4. 4. Ratio

    Simplify: 12:9:12

    Answer: 4:3:4
  5. 5. Statistics

    The mean of 4 numbers is 21. If 3 of them are 18, 42, 35, what is the missing number?

    Answer: -11

Thursday 22 October 2026

Keystones #295 · Five questions · Open this day only

  1. 1. Number

    0.0046

    Answer: 4.6 × 10-3
  2. 2. Algebra

    Factorise: x² + x - 20

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

    Adjacent = 13cm, angle = 31°. Find opposite

    Answer: 7.8cm
  4. 4. Ratio

    Express the first part of 6:3 as a fraction in simplest form

    Answer: 2⁄3
  5. 5. Statistics

    The mean of 6 numbers is 30. If 5 of them are 21, 32, 41, 38, 47, what is the missing number?

    Answer: 1

Friday 23 October 2026

Keystones #296 · Five questions · Open this day only

  1. 1. Number

    7100000

    Answer: 7.1 × 106
  2. 2. Algebra

    Factorise: x² - 10x + 25

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

    Hypotenuse = 36cm, angle = 28°. Find adjacent side

    Answer: 31.8cm
  4. 4. Ratio

    Simplify: 20:20:16

    Answer: 5:5:4
  5. 5. Statistics

    Calculate the mean of: 50, 26, 40, 23, 47, 42

    Answer: 38