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Lintel Dec 22 - 28 25 questions
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Monday 22 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    44000000

    Answer: 4.4 × 107
  2. 2. Algebra

    Factorise: x² - 8x + 15

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

    Adjacent = 29cm, angle = 32°. Find opposite

    Answer: 18.cm
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    Calculate the mean of: 24, 20, 42, 37, 20, 8, 35, 34

    Answer: 27.5

Tuesday 23 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.00094

    Answer: 9.4 × 10-4
  2. 2. Algebra

    Factorise: x² + 3x - 10

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

    Hypotenuse = 28cm, angle = 35°. Find adjacent side

    Answer: 22.9cm
  4. 4. Ratio

    £154.00 is shared between A and B in the ratio 3:4. How much does A receive?

    Answer: £66.00
  5. 5. Statistics

    The mean of 6 numbers is 37. If 5 of them are 36, 18, 47, 32, 27, what is the missing number?

    Answer: 62

Wednesday 24 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.08

    Answer: 8 × 10-2
  2. 2. Algebra

    Factorise: x² + x - 2

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

    Hypotenuse = 39cm, angle = 32°. Find adjacent side

    Answer: 33.cm
  4. 4. Ratio

    Divide 220 in the ratio 3:3:4

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

    Calculate the mean of: 23, 11, 12, 26, 35, 43, 16, 20

    Answer: 23.3

Thursday 25 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    50000000

    Answer: 5 × 107
  2. 2. Algebra

    Factorise: x² - 10x + 25

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

    Adjacent = 18cm, angle = 38°. Find opposite

    Answer: 14.cm
  4. 4. Ratio

    Express the first part of 6:5 as a fraction in simplest form

    Answer: 611
  5. 5. Statistics

    The mean of 6 numbers is 39. If 5 of them are 43, 20, 47, 37, 18, what is the missing number?

    Answer: 69

Friday 26 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.00079

    Answer: 7.9 × 10-4
  2. 2. Algebra

    Factorise: x² - 14x + 49

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

    Hypotenuse = 17cm, angle = 56°. Find adjacent side

    Answer: 9.5cm
  4. 4. Ratio

    Divide 168 in the ratio 2:4:1

    Answer: 48, 96 and 24
  5. 5. Statistics

    The mean of 4 numbers is 34. If 3 of them are 20, 49, 35, what is the missing number?

    Answer: 32