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Lintel May 19 - 25 25 questions
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Monday 19 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 570,000,000 in standard form

    Answer: 5.7 × 108
  2. 2. Algebra

    Factorise: x² - 3x - 28

    Answer: (x + 4)(x - 7)
  3. 3. Geometry

    Adjacent = 24cm, angle = 58°. Find opposite. Give your answer to 2 decimal places

    Answer: 38.41cm
  4. 4. Ratio

    Express the second part of 4:2 as a fraction in simplest form

    Answer: 1⁄3
  5. 5. Statistics

    The mean of 6 numbers is 30. If 5 of them are 47, 26, 41, 42, 19, what is the missing number?

    Answer: 5

Tuesday 20 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.072 in standard form

    Answer: 7.2 × 10-2
  2. 2. Algebra

    Factorise: x² + 2x - 80

    Answer: (x + 10)(x - 8)
  3. 3. Geometry

    Hypotenuse = 33cm, angle = 54°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 19.4cm
  4. 4. Ratio

    Black and white counters are in the ratio 4:10. What fraction of the counters are black?

    Answer: 2⁄7
  5. 5. Statistics

    Calculate the mean of: 8, 12, 16, 30, 35, 50. Give your answer to 2 decimal places

    Answer: 25.17

Wednesday 21 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 4,700,000 in standard form

    Answer: 4.7 × 106
  2. 2. Algebra

    Factorise: x² + 3x - 18

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

    Adjacent = 24cm, angle = 52°. Find opposite. Give your answer to 2 decimal places

    Answer: 30.72cm
  4. 4. Ratio

    Black and white beads are in the ratio 13:15. What fraction of the beads are black?

    Answer: 13⁄28
  5. 5. Statistics

    The mean of 4 numbers is 29. If 3 of them are 24, 30, 33, what is the missing number?

    Answer: 29

Thursday 22 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.075 in standard form

    Answer: 7.5 × 10-2
  2. 2. Algebra

    Factorise: x² + 6x - 72

    Answer: (x + 12)(x - 6)
  3. 3. Geometry

    Hypotenuse = 21cm, angle = 62°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 9.86cm
  4. 4. Ratio

    Red and blue beads are in the ratio 13:2. What fraction of the beads are red?

    Answer: 13⁄15
  5. 5. Statistics

    The mean of 6 numbers is 31. If 5 of them are 27, 47, 38, 27, 24, what is the missing number?

    Answer: 23

Friday 23 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 71,000,000 in standard form

    Answer: 7.1 × 107
  2. 2. Algebra

    Factorise: x² - x - 6

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

    Adjacent = 30cm, angle = 36°. Find opposite. Give your answer to 2 decimal places

    Answer: 21.8cm
  4. 4. Ratio

    Simplify: 24:20:20

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

    Calculate the mean of: 35, 17, 30, 33, 31, 32, 36, 26

    Answer: 30