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Lintel Oct 22 - 28 25 questions
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Monday 22 October 2012

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 + x - 90

    Answer: (x + 10)(x - 9)
  3. 3. Geometry

    Hypotenuse = 30cm, angle = 49°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 19.68cm
  4. 4. Ratio

    Divide 65 in the ratio 1:3:1

    Answer: 13, 39 and 13
  5. 5. Statistics

    Calculate the mean of: 17, 40, 13, 33, 43, 44, 35. Give your answer to 2 decimal places

    Answer: 32.14

Tuesday 23 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.055 in standard form

    Answer: 5.5 × 10-2
  2. 2. Algebra

    Factorise: x² - 15x + 44

    Answer: (x - 4)(x - 11)
  3. 3. Geometry

    Adjacent = 23cm, angle = 39°. Find opposite. Give your answer to 2 decimal places

    Answer: 18.63cm
  4. 4. Ratio

    Orange and purple counters are in the ratio 15:11. What fraction of the counters are orange?

    Answer: 15⁄26
  5. 5. Statistics

    The mean of 4 numbers is 40. If 3 of them are 39, 20, 31, what is the missing number?

    Answer: 70

Wednesday 24 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.045 in standard form

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

    Factorise: x² - 8x - 9

    Answer: (x + 1)(x - 9)
  3. 3. Geometry

    Adjacent = 21cm, angle = 52°. Find opposite. Give your answer to 2 decimal places

    Answer: 26.88cm
  4. 4. Ratio

    Red, blue and green sweets are in the ratio 5:7:7. What fraction of the sweets are red?

    Answer: 5⁄19
  5. 5. Statistics

    Calculate the mean of: 21, 27, 41, 11, 46, 43

    Answer: 31.5

Thursday 25 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 450,000,000 in standard form

    Answer: 4.5 × 108
  2. 2. Algebra

    Factorise: x² + 2x - 15

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

    Hypotenuse = 36cm, angle = 33°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 30.19cm
  4. 4. Ratio

    Red, blue and green marbles are in the ratio 12:10:2. What fraction of the marbles are red?

    Answer: 1⁄2
  5. 5. Statistics

    The mean of 6 numbers is 29. If 5 of them are 35, 20, 32, 20, 49, what is the missing number?

    Answer: 18

Friday 26 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.00081 in standard form

    Answer: 8.1 × 10-4
  2. 2. Algebra

    Factorise: x² + x - 30

    Answer: (x + 6)(x - 5)
  3. 3. Geometry

    Adjacent = 15cm, angle = 55°. Find opposite. Give your answer to 2 decimal places

    Answer: 21.42cm
  4. 4. Ratio

    Simplify the ratio 2kg : 50g

    Answer: 40:1
  5. 5. Statistics

    The mean of 4 numbers is 39. If 3 of them are 41, 37, 42, what is the missing number?

    Answer: 36