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Lintel Dec 6 - 12 25 questions
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Monday 6 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 1,600,000 in standard form

    Answer: 1.6 × 106
  2. 2. Algebra

    Factorise: x² + 12x + 35

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

    Adjacent = 24cm, angle = 32°. Find opposite. Give your answer to 2 decimal places

    Answer: 15cm
  4. 4. Ratio

    Orange and purple sweets are in the ratio 12:7. What fraction of the sweets are purple?

    Answer: 7⁄19
  5. 5. Statistics

    The mean of 6 numbers is 30. If 5 of them are 27, 19, 34, 25, 26, what is the missing number?

    Answer: 49

Tuesday 7 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.043 in standard form

    Answer: 4.3 × 10-2
  2. 2. Algebra

    Factorise: x² + 4x - 60

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

    Hypotenuse = 34cm, angle = 46°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 23.62cm
  4. 4. Ratio

    Divide 270 in the ratio 4:1:4

    Answer: 120, 30 and 120
  5. 5. Statistics

    Calculate the mean of: 20, 15, 27, 49, 20, 44, 10. Give your answer to 2 decimal places

    Answer: 26.43

Wednesday 8 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0032 in standard form

    Answer: 3.2 × 10-3
  2. 2. Algebra

    Factorise: x² - 3x - 18

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

    Hypotenuse = 24cm, angle = 36°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 19.42cm
  4. 4. Ratio

    Divide 250 in the ratio 2:1:2

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

    Calculate the mean of: 30, 11, 10, 28, 38, 44, 44. Give your answer to 2 decimal places

    Answer: 29.29

Thursday 9 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 58,000 in standard form

    Answer: 5.8 × 104
  2. 2. Algebra

    Factorise: x² + 3x - 70

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

    Adjacent = 28cm, angle = 58°. Find opposite. Give your answer to 2 decimal places

    Answer: 44.81cm
  4. 4. Ratio

    Black and white counters are in the ratio 9:3. What fraction of the counters are black?

    Answer: 3⁄4
  5. 5. Statistics

    The mean of 4 numbers is 26. If 3 of them are 19, 19, 33, what is the missing number?

    Answer: 33

Friday 10 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 620,000 in standard form

    Answer: 6.2 × 105
  2. 2. Algebra

    Factorise: x² + 15x + 50

    Answer: (x + 10)(x + 5)
  3. 3. Geometry

    Hypotenuse = 20cm, angle = 47°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 13.64cm
  4. 4. Ratio

    Express the second part of 8:13 as a fraction in simplest form

    Answer: 13⁄21
  5. 5. Statistics

    The mean of 4 numbers is 33. If 3 of them are 23, 43, 31, what is the missing number?

    Answer: 35