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Lintel Jul 31 - Aug 6 25 questions
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Monday 31 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 640,000,000 in standard form

    Answer: 6.4 × 108
  2. 2. Algebra

    Factorise: x² + 8x - 33

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

    Adjacent = 11cm, angle = 54°. Find opposite. Give your answer to 2 decimal places

    Answer: 15.14cm
  4. 4. Ratio

    Divide 175 in the ratio 3:1:3

    Answer: 75, 25 and 75
  5. 5. Statistics

    Calculate the mean of: 28, 41, 19, 14, 14, 42. Give your answer to 2 decimal places

    Answer: 26.33

Tuesday 1 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0095 in standard form

    Answer: 9.5 × 10-3
  2. 2. Algebra

    Factorise: x² - 4x - 5

    Answer: (x + 1)(x - 5)
  3. 3. Geometry

    Adjacent = 26cm, angle = 39°. Find opposite. Give your answer to 2 decimal places

    Answer: 21.05cm
  4. 4. Ratio

    In ratio 8:4:3, what fraction is the first part?

    Answer: 8⁄15
  5. 5. Statistics

    The mean of 6 numbers is 39. If 5 of them are 37, 32, 24, 27, 49, what is the missing number?

    Answer: 65

Wednesday 2 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 42,000,000 in standard form

    Answer: 4.2 × 107
  2. 2. Algebra

    Factorise: x² - 2x - 15

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

    Hypotenuse = 28cm, angle = 26°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 25.17cm
  4. 4. Ratio

    Black, white and yellow marbles are in the ratio 8:10:12. What fraction of the marbles are black?

    Answer: 4⁄15
  5. 5. Statistics

    The mean of 4 numbers is 26. If 3 of them are 23, 24, 40, what is the missing number?

    Answer: 17

Thursday 3 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000027 in standard form

    Answer: 2.7 × 10-5
  2. 2. Algebra

    Factorise: x² - 11x + 30

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

    Adjacent = 27cm, angle = 35°. Find opposite. Give your answer to 2 decimal places

    Answer: 18.91cm
  4. 4. Ratio

    Simplify the ratio £3 : 80p

    Answer: 15:4
  5. 5. Statistics

    Calculate the mean of: 26, 41, 17, 14, 37, 19, 37, 11

    Answer: 25.25

Friday 4 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0046 in standard form

    Answer: 4.6 × 10-3
  2. 2. Algebra

    Factorise: x² - 9x - 36

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

    Adjacent = 16cm, angle = 39°. Find opposite. Give your answer to 2 decimal places

    Answer: 12.96cm
  4. 4. Ratio

    Express the second part of 7:9 as a fraction in simplest form

    Answer: 9⁄16
  5. 5. Statistics

    The mean of 4 numbers is 37. If 3 of them are 30, 27, 23, what is the missing number?

    Answer: 68