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Lintel Jul 7 - 13 25 questions
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Monday 7 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.029

    Answer: 2.9 × 10-2
  2. 2. Algebra

    Factorise: x² + x - 30

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

    Adjacent = 13cm, angle = 59°. Find opposite

    Answer: 21.6cm
  4. 4. Ratio

    Simplify: 20:8:8

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

    Calculate the mean of: 36, 8, 38, 40, 26, 23

    Answer: 28.5

Tuesday 8 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.0001

    Answer: 1 × 10-4
  2. 2. Algebra

    Factorise: x² + x - 2

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

    Adjacent = 20cm, angle = 38°. Find opposite

    Answer: 15.6cm
  4. 4. Ratio

    Express the first part of 4:6 as a fraction in simplest form

    Answer: 25
  5. 5. Statistics

    Calculate the mean of: 5, 30, 29, 7, 42, 42

    Answer: 25.8

Wednesday 9 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    11000000

    Answer: 1.1 × 107
  2. 2. Algebra

    Factorise: x² - 12x + 35

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

    Hypotenuse = 40cm, angle = 30°. Find adjacent side

    Answer: 34.6cm
  4. 4. Ratio

    Divide 176 in the ratio 3:1:4

    Answer: 66, 22 and 88
  5. 5. Statistics

    The mean of 5 numbers is 39. If 4 of them are 44, 39, 37, 16, what is the missing number?

    Answer: 59

Thursday 10 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    75000000

    Answer: 7.5 × 107
  2. 2. Algebra

    Factorise: x² - 5x + 6

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

    Adjacent = 20cm, angle = 34°. Find opposite

    Answer: 13.5cm
  4. 4. Ratio

    Simplify: 20:24:16

    Answer: 5:6:4
  5. 5. Statistics

    The mean of 5 numbers is 29. If 4 of them are 32, 21, 18, 23, what is the missing number?

    Answer: 51

Friday 11 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.091

    Answer: 9.1 × 10-2
  2. 2. Algebra

    Factorise: x² - 9x + 14

    Answer: (x - 2)(x - 7)
  3. 3. Geometry

    Hypotenuse = 23cm, angle = 51°. Find adjacent side

    Answer: 14.5cm
  4. 4. Ratio

    Simplify: 16:24:16

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

    Calculate the mean of: 7, 31, 17, 7, 19, 13, 24

    Answer: 16.9