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Lintel Aug 2 - 8 25 questions
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Monday 2 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 85,000,000 in standard form

    Answer: 8.5 × 107
  2. 2. Algebra

    Factorise: x² - 3x - 108

    Answer: (x + 9)(x - 12)
  3. 3. Geometry

    Hypotenuse = 16cm, angle = 60°. Find adjacent side

    Answer: 8cm
  4. 4. Ratio

    Orange, purple and pink beads are in the ratio 3:3:1. What fraction of the beads are purple?

    Answer: 3⁄7
  5. 5. Statistics

    The mean of 5 numbers is 30. If 4 of them are 20, 39, 38, 43, what is the missing number?

    Answer: 10

Tuesday 3 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000094 in standard form

    Answer: 9.4 × 10-5
  2. 2. Algebra

    Factorise: x² - 4x - 21

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

    Adjacent = 16cm, angle = 51°. Find opposite. Give your answer to 2 decimal places

    Answer: 19.76cm
  4. 4. Ratio

    Simplify the ratio 2kg : 500g

    Answer: 4:1
  5. 5. Statistics

    Calculate the mean of: 31, 12, 10, 10, 25, 46. Give your answer to 2 decimal places

    Answer: 22.33

Wednesday 4 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0045 in standard form

    Answer: 4.5 × 10-3
  2. 2. Algebra

    Factorise: x² + 7x - 30

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

    Adjacent = 23cm, angle = 38°. Find opposite. Give your answer to 2 decimal places

    Answer: 17.97cm
  4. 4. Ratio

    Black and white beads are in the ratio 11:6. What fraction of the beads are white?

    Answer: 6⁄17
  5. 5. Statistics

    The mean of 6 numbers is 25. If 5 of them are 32, 33, 35, 25, 20, what is the missing number?

    Answer: 5

Thursday 5 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 460,000 in standard form

    Answer: 4.6 × 105
  2. 2. Algebra

    Factorise: x² + 9x + 8

    Answer: (x + 8)(x + 1)
  3. 3. Geometry

    Hypotenuse = 29cm, angle = 26°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 26.07cm
  4. 4. Ratio

    Divide 175 in the ratio 2:1:4

    Answer: 50, 25 and 100
  5. 5. Statistics

    Calculate the mean of: 31, 21, 48, 23, 23, 27, 40, 47

    Answer: 32.5

Friday 6 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.086 in standard form

    Answer: 8.6 × 10-2
  2. 2. Algebra

    Factorise: x² - 11x + 18

    Answer: (x - 2)(x - 9)
  3. 3. Geometry

    Adjacent = 22cm, angle = 42°. Find opposite. Give your answer to 2 decimal places

    Answer: 19.81cm
  4. 4. Ratio

    Divide 162 in the ratio 3:2:1

    Answer: 81, 54 and 27
  5. 5. Statistics

    Calculate the mean of: 11, 36, 41, 17, 29, 17, 49. Give your answer to 2 decimal places

    Answer: 28.57