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Lintel Dec 21 - 27 25 questions
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Monday 21 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0009 in standard form

    Answer: 9 × 10-4
  2. 2. Algebra

    Factorise: x² - 8x - 9

    Answer: (x + 1)(x - 9)
  3. 3. Geometry

    Hypotenuse = 38cm, angle = 28°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 33.55cm
  4. 4. Ratio

    Express the second part of 4:10 as a fraction in simplest form

    Answer: 5⁄7
  5. 5. Statistics

    Calculate the mean of: 17, 32, 10, 11, 11, 49, 24

    Answer: 22

Tuesday 22 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 29,000 in standard form

    Answer: 2.9 × 104
  2. 2. Algebra

    Factorise: x² - 6x - 16

    Answer: (x + 2)(x - 8)
  3. 3. Geometry

    Adjacent = 30cm, angle = 42°. Find opposite. Give your answer to 2 decimal places

    Answer: 27.01cm
  4. 4. Ratio

    Red and blue beads are in the ratio 2:9. What fraction of the beads are red?

    Answer: 2⁄11
  5. 5. Statistics

    Calculate the mean of: 30, 34, 33, 7, 49, 26. Give your answer to 2 decimal places

    Answer: 29.83

Wednesday 23 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000074 in standard form

    Answer: 7.4 × 10-5
  2. 2. Algebra

    Factorise: x² + 7x + 12

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

    Hypotenuse = 21cm, angle = 58°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 11.13cm
  4. 4. Ratio

    Red and blue counters are in the ratio 9:15. What fraction of the counters are blue?

    Answer: 5⁄8
  5. 5. Statistics

    The mean of 4 numbers is 34. If 3 of them are 24, 18, 49, what is the missing number?

    Answer: 45

Thursday 24 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000051 in standard form

    Answer: 5.1 × 10-5
  2. 2. Algebra

    Factorise: x² + 3x - 70

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

    Hypotenuse = 33cm, angle = 29°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 28.86cm
  4. 4. Ratio

    In ratio 8:5:8, what fraction is the first part?

    Answer: 8⁄21
  5. 5. Statistics

    Calculate the mean of: 15, 6, 22, 8, 27, 13. Give your answer to 2 decimal places

    Answer: 15.17

Friday 25 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 19,000,000 in standard form

    Answer: 1.9 × 107
  2. 2. Algebra

    Factorise: x² - 7x - 30

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

    Adjacent = 17cm, angle = 39°. Find opposite. Give your answer to 2 decimal places

    Answer: 13.77cm
  4. 4. Ratio

    Simplify the ratio 5 litres : 850 ml

    Answer: 100:17
  5. 5. Statistics

    The mean of 4 numbers is 28. If 3 of them are 24, 42, 24, what is the missing number?

    Answer: 22