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Lintel Aug 1 - 7 25 questions
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Monday 1 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 15,000,000 in standard form

    Answer: 1.5 × 107
  2. 2. Algebra

    Factorise: x² + x - 6

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

    Adjacent = 13cm, angle = 51°. Find opposite. Give your answer to 2 decimal places

    Answer: 16.05cm
  4. 4. Ratio

    Simplify the ratio £2 : 10p

    Answer: 20:1
  5. 5. Statistics

    The mean of 4 numbers is 29. If 3 of them are 38, 44, 18, what is the missing number?

    Answer: 16

Tuesday 2 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000052 in standard form

    Answer: 5.2 × 10-5
  2. 2. Algebra

    Factorise: x² - 5x - 14

    Answer: (x + 2)(x - 7)
  3. 3. Geometry

    Hypotenuse = 31cm, angle = 53°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 18.66cm
  4. 4. Ratio

    £185.00 is shared between A and B in the ratio 2:3. How much does A receive?

    Answer: £74.00
  5. 5. Statistics

    The mean of 4 numbers is 30. If 3 of them are 21, 27, 34, what is the missing number?

    Answer: 38

Wednesday 3 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 250,000 in standard form

    Answer: 2.5 × 105
  2. 2. Algebra

    Factorise: x² - 12x + 35

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

    Adjacent = 11cm, angle = 30°. Find opposite. Give your answer to 2 decimal places

    Answer: 6.35cm
  4. 4. Ratio

    Orange, purple and pink beads are in the ratio 7:5:4. What fraction of the beads are orange?

    Answer: 7⁄16
  5. 5. Statistics

    Calculate the mean of: 37, 34, 13, 40, 10, 15, 40

    Answer: 27

Thursday 4 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 79,000 in standard form

    Answer: 7.9 × 104
  2. 2. Algebra

    Factorise: x² + 10x + 21

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

    Adjacent = 29cm, angle = 60°. Find opposite. Give your answer to 2 decimal places

    Answer: 50.23cm
  4. 4. Ratio

    Simplify: 10:4:6

    Answer: 5:2:3
  5. 5. Statistics

    The mean of 4 numbers is 36. If 3 of them are 49, 45, 44, what is the missing number?

    Answer: 6

Friday 5 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.066 in standard form

    Answer: 6.6 × 10-2
  2. 2. Algebra

    Factorise: x² + 3x - 54

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

    Hypotenuse = 19cm, angle = 43°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 13.9cm
  4. 4. Ratio

    Red and blue marbles are in the ratio 9:3. What fraction of the marbles are blue?

    Answer: 1⁄4
  5. 5. Statistics

    Calculate the mean of: 44, 35, 32, 37, 42, 47, 19, 21. Give your answer to 2 decimal places

    Answer: 34.63