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Lintel Jan 1 - 7 25 questions
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Monday 1 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 46,000 in standard form

    Answer: 4.6 × 104
  2. 2. Algebra

    Factorise: x² - 2x - 35

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

    Hypotenuse = 30cm, angle = 61°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 14.54cm
  4. 4. Ratio

    Divide 91 in the ratio 4:1:2

    Answer: 52, 13 and 26
  5. 5. Statistics

    Calculate the mean of: 15, 7, 29, 48, 30, 46. Give your answer to 2 decimal places

    Answer: 29.17

Tuesday 2 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000096 in standard form

    Answer: 9.6 × 10-5
  2. 2. Algebra

    Factorise: x² - 9x - 10

    Answer: (x + 1)(x - 10)
  3. 3. Geometry

    Adjacent = 25cm, angle = 37°. Find opposite. Give your answer to 2 decimal places

    Answer: 18.84cm
  4. 4. Ratio

    Divide 72 in the ratio 1:1:4

    Answer: 12, 12 and 48
  5. 5. Statistics

    Calculate the mean of: 29, 40, 33, 37, 49, 23, 11, 10

    Answer: 29

Wednesday 3 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 52,000 in standard form

    Answer: 5.2 × 104
  2. 2. Algebra

    Factorise: x² - 6x - 7

    Answer: (x + 1)(x - 7)
  3. 3. Geometry

    Hypotenuse = 23cm, angle = 45°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 16.26cm
  4. 4. Ratio

    Red and blue counters are in the ratio 14:12. What fraction of the counters are red?

    Answer: 7⁄13
  5. 5. Statistics

    The mean of 6 numbers is 34. If 5 of them are 18, 37, 22, 45, 16, what is the missing number?

    Answer: 66

Thursday 4 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 59,000,000 in standard form

    Answer: 5.9 × 107
  2. 2. Algebra

    Factorise: x² - 7x - 60

    Answer: (x + 5)(x - 12)
  3. 3. Geometry

    Hypotenuse = 32cm, angle = 30°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 27.71cm
  4. 4. Ratio

    £240.00 is shared between A and B in the ratio 5:3. How much does A receive?

    Answer: £150.00
  5. 5. Statistics

    Calculate the mean of: 16, 28, 48, 11, 31, 48. Give your answer to 2 decimal places

    Answer: 30.33

Friday 5 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.06 in standard form

    Answer: 6 × 10-2
  2. 2. Algebra

    Factorise: x² + 3x - 54

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

    Adjacent = 18cm, angle = 34°. Find opposite. Give your answer to 2 decimal places

    Answer: 12.14cm
  4. 4. Ratio

    Simplify the ratio 3kg : 500g

    Answer: 6:1
  5. 5. Statistics

    The mean of 5 numbers is 21. If 4 of them are 16, 22, 24, 38, what is the missing number?

    Answer: 5