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Lintel Dec 25 - 31 25 questions
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Monday 25 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 8,000,000 in standard form

    Answer: 8 × 106
  2. 2. Algebra

    Factorise: x² + x - 56

    Answer: (x + 8)(x - 7)
  3. 3. Geometry

    Hypotenuse = 19cm, angle = 35°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 15.56cm
  4. 4. Ratio

    Simplify: 16:24:16

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

    Calculate the mean of: 7, 41, 48, 30, 16, 27, 17, 18

    Answer: 25.5

Tuesday 26 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.00082 in standard form

    Answer: 8.2 × 10-4
  2. 2. Algebra

    Factorise: x² - 3x - 70

    Answer: (x + 7)(x - 10)
  3. 3. Geometry

    Adjacent = 29cm, angle = 39°. Find opposite. Give your answer to 2 decimal places

    Answer: 23.48cm
  4. 4. Ratio

    Express the second part of 13:12 as a fraction in simplest form

    Answer: 12⁄25
  5. 5. Statistics

    Calculate the mean of: 41, 22, 17, 17, 19, 19, 18, 25

    Answer: 22.25

Wednesday 27 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 61,000,000 in standard form

    Answer: 6.1 × 107
  2. 2. Algebra

    Factorise: x² - 17x + 60

    Answer: (x - 5)(x - 12)
  3. 3. Geometry

    Hypotenuse = 30cm, angle = 56°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 16.78cm
  4. 4. Ratio

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

    Answer: 3⁄5
  5. 5. Statistics

    The mean of 6 numbers is 30. If 5 of them are 16, 32, 37, 28, 16, what is the missing number?

    Answer: 51

Thursday 28 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 8,600,000 in standard form

    Answer: 8.6 × 106
  2. 2. Algebra

    Factorise: x² + 4x - 32

    Answer: (x + 8)(x - 4)
  3. 3. Geometry

    Hypotenuse = 16cm, angle = 28°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 14.13cm
  4. 4. Ratio

    Divide 184 in the ratio 2:1:1

    Answer: 92, 46 and 46
  5. 5. Statistics

    The mean of 5 numbers is 21. If 4 of them are 15, 38, 16, 20, what is the missing number?

    Answer: 16

Friday 29 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000098 in standard form

    Answer: 9.8 × 10-5
  2. 2. Algebra

    Factorise: x² - 3x - 54

    Answer: (x + 6)(x - 9)
  3. 3. Geometry

    Adjacent = 22cm, angle = 38°. Find opposite. Give your answer to 2 decimal places

    Answer: 17.19cm
  4. 4. Ratio

    Divide 112 in the ratio 2:1:4

    Answer: 32, 16 and 64
  5. 5. Statistics

    Calculate the mean of: 8, 19, 20, 27, 13, 38, 29, 40

    Answer: 24.25