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Lintel Jul 17 - 23 25 questions
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Monday 17 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 42,000 in standard form

    Answer: 4.2 × 104
  2. 2. Algebra

    Factorise: x² + 3x - 54

    Answer: (x + 9)(x - 6)
  3. 3. Geometry

    Hypotenuse = 19cm, angle = 40°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 14.55cm
  4. 4. Ratio

    Simplify the ratio 4 litres : 900 ml

    Answer: 40:9
  5. 5. Statistics

    The mean of 6 numbers is 35. If 5 of them are 18, 35, 40, 32, 49, what is the missing number?

    Answer: 36

Tuesday 18 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 300,000 in standard form

    Answer: 3 × 105
  2. 2. Algebra

    Factorise: x² + 4x - 60

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

    Hypotenuse = 28cm, angle = 34°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 23.21cm
  4. 4. Ratio

    Black, white and yellow counters are in the ratio 9:11:8. What fraction of the counters are black?

    Answer: 9⁄28
  5. 5. Statistics

    The mean of 5 numbers is 32. If 4 of them are 15, 29, 30, 18, what is the missing number?

    Answer: 68

Wednesday 19 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0023 in standard form

    Answer: 2.3 × 10-3
  2. 2. Algebra

    Factorise: x² + 3x - 108

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

    Adjacent = 17cm, angle = 57°. Find opposite. Give your answer to 2 decimal places

    Answer: 26.18cm
  4. 4. Ratio

    £208.00 is shared between A and B in the ratio 5:3. How much does A receive?

    Answer: £130.00
  5. 5. Statistics

    Calculate the mean of: 50, 35, 29, 50, 38, 40. Give your answer to 2 decimal places

    Answer: 40.33

Thursday 20 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 62,000 in standard form

    Answer: 6.2 × 104
  2. 2. Algebra

    Factorise: x² - 7x - 8

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

    Hypotenuse = 26cm, angle = 51°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 16.36cm
  4. 4. Ratio

    In ratio 7:7:11, what fraction is the third part?

    Answer: 11⁄25
  5. 5. Statistics

    The mean of 5 numbers is 35. If 4 of them are 49, 21, 15, 44, what is the missing number?

    Answer: 46

Friday 21 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.00009 in standard form

    Answer: 9 × 10-5
  2. 2. Algebra

    Factorise: x² + 6x + 5

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

    Adjacent = 23cm, angle = 30°. Find opposite. Give your answer to 2 decimal places

    Answer: 13.28cm
  4. 4. Ratio

    £392.00 is shared between A and B in the ratio 5:3. How much does A receive?

    Answer: £245.00
  5. 5. Statistics

    Calculate the mean of: 25, 47, 41, 28, 39, 50, 6. Give your answer to 2 decimal places

    Answer: 33.71