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Lintel Jan 4 - 10 25 questions
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Monday 4 January 2016

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 + 3x - 88

    Answer: (x + 11)(x - 8)
  3. 3. Geometry

    Adjacent = 12cm, angle = 31°. Find opposite. Give your answer to 2 decimal places

    Answer: 7.21cm
  4. 4. Ratio

    £343.00 is shared between A and B in the ratio 5:2. How much does A receive?

    Answer: £245.00
  5. 5. Statistics

    Calculate the mean of: 40, 47, 50, 10, 10, 28, 13, 31. Give your answer to 2 decimal places

    Answer: 28.63

Tuesday 5 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.0056 in standard form

    Answer: 5.6 × 10-3
  2. 2. Algebra

    Factorise: x² - 5x - 14

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

    Hypotenuse = 24cm, angle = 34°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 19.9cm
  4. 4. Ratio

    Orange, purple and pink sweets are in the ratio 3:7:6. What fraction of the sweets are orange?

    Answer: 3⁄16
  5. 5. Statistics

    The mean of 4 numbers is 25. If 3 of them are 38, 21, 35, what is the missing number?

    Answer: 6

Wednesday 6 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 380,000 in standard form

    Answer: 3.8 × 105
  2. 2. Algebra

    Factorise: x² - 2x - 3

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

    Adjacent = 18cm, angle = 50°. Find opposite. Give your answer to 2 decimal places

    Answer: 21.45cm
  4. 4. Ratio

    Simplify the ratio 4 hours : 20 minutes

    Answer: 12:1
  5. 5. Statistics

    The mean of 4 numbers is 31. If 3 of them are 37, 25, 15, what is the missing number?

    Answer: 47

Thursday 7 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.00078 in standard form

    Answer: 7.8 × 10-4
  2. 2. Algebra

    Factorise: x² - 15x + 54

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

    Hypotenuse = 23cm, angle = 55°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 13.19cm
  4. 4. Ratio

    In ratio 11:1:3, what fraction is the first part?

    Answer: 11⁄15
  5. 5. Statistics

    Calculate the mean of: 41, 27, 32, 47, 46, 15. Give your answer to 2 decimal places

    Answer: 34.67

Friday 8 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.00099 in standard form

    Answer: 9.9 × 10-4
  2. 2. Algebra

    Factorise: x² + 4x - 12

    Answer: (x + 6)(x - 2)
  3. 3. Geometry

    Hypotenuse = 39cm, angle = 65°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 16.48cm
  4. 4. Ratio

    Simplify the ratio 5kg : 950g

    Answer: 100:19
  5. 5. Statistics

    Calculate the mean of: 36, 46, 34, 21, 30, 31, 7, 15

    Answer: 27.5