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Lintel Dec 4 - 10 25 questions
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Monday 4 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 6,600,000 in standard form

    Answer: 6.6 × 106
  2. 2. Algebra

    Factorise: x² - 7x - 8

    Answer: (x + 1)(x - 8)
  3. 3. Geometry

    Adjacent = 29cm, angle = 48°. Find opposite. Give your answer to 2 decimal places

    Answer: 32.21cm
  4. 4. Ratio

    Divide 240 in the ratio 2:2:1

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

    Calculate the mean of: 10, 32, 37, 48, 8, 19, 44. Give your answer to 2 decimal places

    Answer: 28.29

Tuesday 5 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0039 in standard form

    Answer: 3.9 × 10-3
  2. 2. Algebra

    Factorise: x² - 2x - 15

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

    Hypotenuse = 31cm, angle = 40°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 23.75cm
  4. 4. Ratio

    Divide 168 in the ratio 2:3:3

    Answer: 42, 63 and 63
  5. 5. Statistics

    The mean of 4 numbers is 28. If 3 of them are 35, 29, 31, what is the missing number?

    Answer: 17

Wednesday 6 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 150,000 in standard form

    Answer: 1.5 × 105
  2. 2. Algebra

    Factorise: x² + 7x - 8

    Answer: (x + 8)(x - 1)
  3. 3. Geometry

    Adjacent = 13cm, angle = 54°. Find opposite. Give your answer to 2 decimal places

    Answer: 17.89cm
  4. 4. Ratio

    Divide 189 in the ratio 3:2:2

    Answer: 81, 54 and 54
  5. 5. Statistics

    The mean of 6 numbers is 36. If 5 of them are 17, 43, 50, 33, 38, what is the missing number?

    Answer: 35

Thursday 7 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0067 in standard form

    Answer: 6.7 × 10-3
  2. 2. Algebra

    Factorise: x² - 5x + 6

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

    Hypotenuse = 19cm, angle = 61°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 9.21cm
  4. 4. Ratio

    Simplify: 24:16:20

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

    Calculate the mean of: 40, 6, 19, 40, 29, 43

    Answer: 29.5

Friday 8 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000035 in standard form

    Answer: 3.5 × 10-5
  2. 2. Algebra

    Factorise: x² + 5x - 50

    Answer: (x + 10)(x - 5)
  3. 3. Geometry

    Hypotenuse = 24cm, angle = 47°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 16.37cm
  4. 4. Ratio

    Black and white counters are in the ratio 15:7. What fraction of the counters are black?

    Answer: 15⁄22
  5. 5. Statistics

    Calculate the mean of: 23, 32, 40, 34, 33, 10. Give your answer to 2 decimal places

    Answer: 28.67