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Lintel Dec 1 - 7 25 questions
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Monday 1 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.00066 in standard form

    Answer: 6.6 × 10-4
  2. 2. Algebra

    Factorise: x² + 3x - 54

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

    Hypotenuse = 35cm, angle = 51°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 22.03cm
  4. 4. Ratio

    Divide 90 in the ratio 3:1:1

    Answer: 54, 18 and 18
  5. 5. Statistics

    The mean of 6 numbers is 36. If 5 of them are 33, 32, 43, 23, 26, what is the missing number?

    Answer: 59

Tuesday 2 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 580,000,000 in standard form

    Answer: 5.8 × 108
  2. 2. Algebra

    Factorise: x² + 6x - 7

    Answer: (x + 7)(x - 1)
  3. 3. Geometry

    Adjacent = 11cm, angle = 43°. Find opposite. Give your answer to 2 decimal places

    Answer: 10.26cm
  4. 4. Ratio

    Divide 220 in the ratio 3:4:3

    Answer: 66, 88 and 66
  5. 5. Statistics

    The mean of 5 numbers is 37. If 4 of them are 40, 18, 41, 23, what is the missing number?

    Answer: 63

Wednesday 3 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000044 in standard form

    Answer: 4.4 × 10-5
  2. 2. Algebra

    Factorise: x² + 4x - 5

    Answer: (x + 5)(x - 1)
  3. 3. Geometry

    Hypotenuse = 28cm, angle = 56°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 15.66cm
  4. 4. Ratio

    Red and blue marbles are in the ratio 6:8. What fraction of the marbles are red?

    Answer: 3⁄7
  5. 5. Statistics

    Calculate the mean of: 24, 47, 9, 43, 9, 44. Give your answer to 2 decimal places

    Answer: 29.33

Thursday 4 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0029 in standard form

    Answer: 2.9 × 10-3
  2. 2. Algebra

    Factorise: x² + 19x + 88

    Answer: (x + 11)(x + 8)
  3. 3. Geometry

    Hypotenuse = 39cm, angle = 62°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 18.31cm
  4. 4. Ratio

    In ratio 2:5:10, what fraction is the third part?

    Answer: 10⁄17
  5. 5. Statistics

    The mean of 4 numbers is 33. If 3 of them are 32, 49, 40, what is the missing number?

    Answer: 11

Friday 5 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 590,000,000 in standard form

    Answer: 5.9 × 108
  2. 2. Algebra

    Factorise: x² - 4x - 21

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

    Adjacent = 16cm, angle = 41°. Find opposite. Give your answer to 2 decimal places

    Answer: 13.91cm
  4. 4. Ratio

    £279.00 is shared between A and B in the ratio 5:4. How much does A receive?

    Answer: £155.00
  5. 5. Statistics

    Calculate the mean of: 18, 12, 24, 18, 36, 20, 45. Give your answer to 2 decimal places

    Answer: 24.71