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Lintel Dec 22 - 28 25 questions
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Monday 22 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.032 in standard form

    Answer: 3.2 × 10-2
  2. 2. Algebra

    Factorise: x² - 5x - 36

    Answer: (x + 4)(x - 9)
  3. 3. Geometry

    Adjacent = 15cm, angle = 57°. Find opposite. Give your answer to 2 decimal places

    Answer: 23.cm
  4. 4. Ratio

    Black and white marbles are in the ratio 8:3. What fraction of the marbles are white?

    Answer: 3⁄11
  5. 5. Statistics

    Calculate the mean of: 15, 38, 50, 33, 7, 37, 29, 49

    Answer: 32.25

Tuesday 23 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 700,000,000 in standard form

    Answer: 7 × 108
  2. 2. Algebra

    Factorise: x² - 10x + 24

    Answer: (x - 4)(x - 6)
  3. 3. Geometry

    Hypotenuse = 36cm, angle = 50°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 23.14cm
  4. 4. Ratio

    Express the second part of 13:4 as a fraction in simplest form

    Answer: 4⁄17
  5. 5. Statistics

    The mean of 4 numbers is 33. If 3 of them are 17, 38, 35, what is the missing number?

    Answer: 42

Wednesday 24 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 52,000,000 in standard form

    Answer: 5.2 × 107
  2. 2. Algebra

    Factorise: x² + 3x + 2

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

    Hypotenuse = 18cm, angle = 51°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 11.33cm
  4. 4. Ratio

    £273.00 is shared between A and B in the ratio 3:4. How much does A receive?

    Answer: £117.00
  5. 5. Statistics

    Calculate the mean of: 24, 49, 50, 7, 26, 26. Give your answer to 2 decimal places

    Answer: 30.33

Thursday 25 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.00084 in standard form

    Answer: 8.4 × 10-4
  2. 2. Algebra

    Factorise: x² + 2x - 35

    Answer: (x + 7)(x - 5)
  3. 3. Geometry

    Adjacent = 10cm, angle = 55°. Find opposite. Give your answer to 2 decimal places

    Answer: 14.28cm
  4. 4. Ratio

    In ratio 11:8:8, what fraction is the second part?

    Answer: 8⁄27
  5. 5. Statistics

    The mean of 6 numbers is 32. If 5 of them are 20, 38, 35, 43, 29, what is the missing number?

    Answer: 27

Friday 26 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 4,800,000 in standard form

    Answer: 4.8 × 106
  2. 2. Algebra

    Factorise: x² + 7x - 30

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

    Hypotenuse = 36cm, angle = 46°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 25.01cm
  4. 4. Ratio

    Simplify the ratio 4kg : 700g

    Answer: 40:7
  5. 5. Statistics

    The mean of 6 numbers is 31. If 5 of them are 28, 24, 39, 16, 29, what is the missing number?

    Answer: 50