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Lintel Jan 19 - 25 25 questions
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Monday 19 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 510,000,000 in standard form

    Answer: 5.1 × 108
  2. 2. Algebra

    Factorise: x² + 7x - 18

    Answer: (x + 9)(x - 2)
  3. 3. Geometry

    Hypotenuse = 25cm, angle = 53°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 15.05cm
  4. 4. Ratio

    Simplify the ratio 3m : 15cm

    Answer: 20:1
  5. 5. Statistics

    Calculate the mean of: 46, 14, 47, 13, 15, 18

    Answer: 25.5

Tuesday 20 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0019 in standard form

    Answer: 1.9 × 10-3
  2. 2. Algebra

    Factorise: x² - 15x + 44

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

    Adjacent = 11cm, angle = 45°. Find opposite

    Answer: 11cm
  4. 4. Ratio

    £180.00 is shared between A and B in the ratio 5:4. How much does A receive?

    Answer: £100.00
  5. 5. Statistics

    The mean of 4 numbers is 29. If 3 of them are 22, 22, 23, what is the missing number?

    Answer: 49

Wednesday 21 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 76,000 in standard form

    Answer: 7.6 × 104
  2. 2. Algebra

    Factorise: x² - 6x - 7

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

    Hypotenuse = 29cm, angle = 48°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 19.4cm
  4. 4. Ratio

    In ratio 1:1:4, what fraction is the third part?

    Answer: 2⁄3
  5. 5. Statistics

    Calculate the mean of: 36, 32, 27, 20, 27, 37, 28, 15

    Answer: 27.75

Thursday 22 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0005 in standard form

    Answer: 5 × 10-4
  2. 2. Algebra

    Factorise: x² + x - 72

    Answer: (x + 9)(x - 8)
  3. 3. Geometry

    Adjacent = 15cm, angle = 50°. Find opposite. Give your answer to 2 decimal places

    Answer: 17.88cm
  4. 4. Ratio

    £252.00 is shared between A and B in the ratio 1:2. How much does A receive?

    Answer: £84.00
  5. 5. Statistics

    Calculate the mean of: 26, 32, 42, 42, 27, 45. Give your answer to 2 decimal places

    Answer: 35.67

Friday 23 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 6,300,000 in standard form

    Answer: 6.3 × 106
  2. 2. Algebra

    Factorise: x² + 4x - 21

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

    Hypotenuse = 31cm, angle = 28°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 27.37cm
  4. 4. Ratio

    Black, white and yellow marbles are in the ratio 8:2:11. What fraction of the marbles are yellow?

    Answer: 11⁄21
  5. 5. Statistics

    The mean of 5 numbers is 24. If 4 of them are 33, 15, 30, 20, what is the missing number?

    Answer: 22