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Lintel Jul 30 - Aug 5 25 questions
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Monday 30 July 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0053 in standard form

    Answer: 5.3 × 10-3
  2. 2. Algebra

    Factorise: x² + 15x + 54

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

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

    Answer: 17.32cm
  4. 4. Ratio

    Orange, purple and pink sweets are in the ratio 6:9:10. What fraction of the sweets are purple?

    Answer: 9⁄25
  5. 5. Statistics

    Calculate the mean of: 34, 32, 20, 23, 26, 43, 32, 6

    Answer: 27

Tuesday 31 July 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 46,000 in standard form

    Answer: 4.6 × 104
  2. 2. Algebra

    Factorise: x² + 2x - 35

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

    Hypotenuse = 31cm, angle = 48°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 20.74cm
  4. 4. Ratio

    Red, blue and green counters are in the ratio 7:9:8. What fraction of the counters are green?

    Answer: 1⁄3
  5. 5. Statistics

    The mean of 5 numbers is 38. If 4 of them are 50, 16, 40, 32, what is the missing number?

    Answer: 52

Wednesday 1 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0094 in standard form

    Answer: 9.4 × 10-3
  2. 2. Algebra

    Factorise: x² + 2x - 120

    Answer: (x + 12)(x - 10)
  3. 3. Geometry

    Hypotenuse = 25cm, angle = 48°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 16.73cm
  4. 4. Ratio

    Divide 50 in the ratio 1:3:1

    Answer: 10, 30 and 10
  5. 5. Statistics

    Calculate the mean of: 30, 49, 16, 48, 37, 21, 31. Give your answer to 2 decimal places

    Answer: 33.14

Thursday 2 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 41,000,000 in standard form

    Answer: 4.1 × 107
  2. 2. Algebra

    Factorise: x² - 14x + 49

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

    Adjacent = 12cm, angle = 58°. Find opposite. Give your answer to 2 decimal places

    Answer: 19.2cm
  4. 4. Ratio

    Simplify: 8:8:16

    Answer: 1:1:2
  5. 5. Statistics

    Calculate the mean of: 8, 32, 48, 26, 38, 5. Give your answer to 2 decimal places

    Answer: 26.17

Friday 3 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000049 in standard form

    Answer: 4.9 × 10-5
  2. 2. Algebra

    Factorise: x² - 2x - 63

    Answer: (x + 7)(x - 9)
  3. 3. Geometry

    Hypotenuse = 20cm, angle = 40°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 15.32cm
  4. 4. Ratio

    Express the first part of 9:13 as a fraction in simplest form

    Answer: 9⁄22
  5. 5. Statistics

    The mean of 4 numbers is 28. If 3 of them are 29, 42, 15, what is the missing number?

    Answer: 26