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Lintel Dec 5 - 11 25 questions
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Monday 5 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 740,000 in standard form

    Answer: 7.4 × 105
  2. 2. Algebra

    Factorise: x² + 10x + 21

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

    Hypotenuse = 15cm, angle = 57°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 8.17cm
  4. 4. Ratio

    Simplify: 9:12:9

    Answer: 3:4:3
  5. 5. Statistics

    The mean of 4 numbers is 38. If 3 of them are 23, 30, 42, what is the missing number?

    Answer: 57

Tuesday 6 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000039 in standard form

    Answer: 3.9 × 10-5
  2. 2. Algebra

    Factorise: x² + 8x + 16

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

    Adjacent = 10cm, angle = 56°. Find opposite. Give your answer to 2 decimal places

    Answer: 14.83cm
  4. 4. Ratio

    Express the first part of 4:7 as a fraction in simplest form

    Answer: 4⁄11
  5. 5. Statistics

    The mean of 4 numbers is 20. If 3 of them are 23, 20, 20, what is the missing number?

    Answer: 17

Wednesday 7 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 110,000,000 in standard form

    Answer: 1.1 × 108
  2. 2. Algebra

    Factorise: x² + 4x - 60

    Answer: (x + 10)(x - 6)
  3. 3. Geometry

    Hypotenuse = 29cm, angle = 64°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 12.71cm
  4. 4. Ratio

    Divide 64 in the ratio 2:1:1

    Answer: 32, 16 and 16
  5. 5. Statistics

    Calculate the mean of: 35, 33, 48, 47, 49, 38, 29, 37

    Answer: 39.5

Thursday 8 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 78,000,000 in standard form

    Answer: 7.8 × 107
  2. 2. Algebra

    Factorise: x² - 3x - 70

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

    Hypotenuse = 28cm, angle = 44°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 20.14cm
  4. 4. Ratio

    Simplify: 12:4:12

    Answer: 3:1:3
  5. 5. Statistics

    Calculate the mean of: 50, 7, 31, 45, 5, 41, 16. Give your answer to 2 decimal places

    Answer: 27.86

Friday 9 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.00064 in standard form

    Answer: 6.4 × 10-4
  2. 2. Algebra

    Factorise: x² + 10x + 16

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

    Adjacent = 10cm, angle = 54°. Find opposite. Give your answer to 2 decimal places

    Answer: 13.76cm
  4. 4. Ratio

    Divide 90 in the ratio 3:1:1

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

    The mean of 4 numbers is 31. If 3 of them are 36, 15, 36, what is the missing number?

    Answer: 37