Change pack
Lintel Dec 29 - Jan 4 25 questions
PDF (questions) PDF (answers)

Monday 29 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.084

    Answer: 8.4 × 10-2
  2. 2. Algebra

    Factorise: x² - 8x + 16

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

    Hypotenuse = 21cm, angle = 58°. Find adjacent side

    Answer: 11.cm
  4. 4. Ratio

    Express the first part of 4:5 as a fraction in simplest form

    Answer: 49
  5. 5. Statistics

    The mean of 6 numbers is 28. If 5 of them are 23, 18, 43, 40, 30, what is the missing number?

    Answer: 14

Tuesday 30 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 - 9x + 20

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

    Adjacent = 27cm, angle = 39°. Find opposite

    Answer: 21.9cm
  4. 4. Ratio

    Simplify: 12:12:10

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

    The mean of 6 numbers is 38. If 5 of them are 38, 22, 22, 49, 35, what is the missing number?

    Answer: 62

Wednesday 31 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    420000

    Answer: 4.2 × 105
  2. 2. Algebra

    Factorise: x² + 5x - 24

    Answer: (x + 8)(x - 3)
  3. 3. Geometry

    Hypotenuse = 32cm, angle = 56°. Find adjacent side

    Answer: 17.9cm
  4. 4. Ratio

    Simplify: 16:20:12

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

    Calculate the mean of: 6, 14, 45, 46, 14, 28

    Answer: 25.5

Thursday 1 January 2026

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    38000

    Answer: 3.8 × 104
  2. 2. Algebra

    Factorise: x² + x - 30

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

    Adjacent = 15cm, angle = 35°. Find opposite

    Answer: 10.5cm
  4. 4. Ratio

    In ratio 2:3:1, what fraction is the second part?

    Answer: 36
  5. 5. Statistics

    Calculate the mean of: 35, 37, 47, 10, 8, 30, 50

    Answer: 31

Friday 2 January 2026

Keystones #2 · Five questions · Open this day only

  1. 1. Number

    0.014

    Answer: 1.4 × 10-2
  2. 2. Algebra

    Factorise: x² - 7x + 12

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

    Hypotenuse = 29cm, angle = 44°. Find adjacent side

    Answer: 20.9cm
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    Calculate the mean of: 38, 29, 50, 22, 40, 32

    Answer: 35.2