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Lintel Jan 5 - 11 25 questions
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Monday 5 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 550,000 in standard form

    Answer: 5.5 × 105
  2. 2. Algebra

    Factorise: x² - 3x - 4

    Answer: (x + 1)(x - 4)
  3. 3. Geometry

    Adjacent = 24cm, angle = 54°. Find opposite. Give your answer to 2 decimal places

    Answer: 33.03cm
  4. 4. Ratio

    Divide 162 in the ratio 3:4:2

    Answer: 54, 72 and 36
  5. 5. Statistics

    Calculate the mean of: 31, 6, 34, 42, 39, 39, 33

    Answer: 32

Tuesday 6 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000022 in standard form

    Answer: 2.2 × 10-5
  2. 2. Algebra

    Factorise: x² + x - 12

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

    Hypotenuse = 23cm, angle = 49°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 15.09cm
  4. 4. Ratio

    Divide 230 in the ratio 3:3:4

    Answer: 69, 69 and 92
  5. 5. Statistics

    Calculate the mean of: 14, 8, 41, 45, 41, 43, 31, 49

    Answer: 34

Wednesday 7 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 830,000,000 in standard form

    Answer: 8.3 × 108
  2. 2. Algebra

    Factorise: x² + 3x - 88

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

    Adjacent = 26cm, angle = 46°. Find opposite. Give your answer to 2 decimal places

    Answer: 26.92cm
  4. 4. Ratio

    Orange and purple beads are in the ratio 2:13. What fraction of the beads are purple?

    Answer: 13⁄15
  5. 5. Statistics

    The mean of 6 numbers is 23. If 5 of them are 45, 20, 18, 23, 26, what is the missing number?

    Answer: 6

Thursday 8 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 96,000 in standard form

    Answer: 9.6 × 104
  2. 2. Algebra

    Factorise: x² + 7x + 10

    Answer: (x + 5)(x + 2)
  3. 3. Geometry

    Adjacent = 10cm, angle = 31°. Find opposite. Give your answer to 2 decimal places

    Answer: 6.01cm
  4. 4. Ratio

    Divide 135 in the ratio 2:3:4

    Answer: 30, 45 and 60
  5. 5. Statistics

    The mean of 6 numbers is 40. If 5 of them are 30, 36, 48, 21, 49, what is the missing number?

    Answer: 56

Friday 9 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0007 in standard form

    Answer: 7 × 10-4
  2. 2. Algebra

    Factorise: x² - 3x - 28

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

    Hypotenuse = 18cm, angle = 59°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 9.27cm
  4. 4. Ratio

    Simplify: 6:12:9

    Answer: 2:4:3
  5. 5. Statistics

    Calculate the mean of: 5, 19, 36, 50, 44, 19. Give your answer to 2 decimal places

    Answer: 28.83