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Lintel Nov 30 - Dec 6 25 questions
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Monday 30 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.069 in standard form

    Answer: 6.9 × 10-2
  2. 2. Algebra

    Factorise: x² + 5x - 6

    Answer: (x + 6)(x - 1)
  3. 3. Geometry

    Hypotenuse = 21cm, angle = 45°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 14.85cm
  4. 4. Ratio

    Simplify: 8:4:12

    Answer: 2:1:3
  5. 5. Statistics

    The mean of 6 numbers is 30. If 5 of them are 42, 21, 15, 25, 40, what is the missing number?

    Answer: 37

Tuesday 1 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 9,700,000 in standard form

    Answer: 9.7 × 106
  2. 2. Algebra

    Factorise: x² + 7x - 30

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

    Hypotenuse = 40cm, angle = 26°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 35.95cm
  4. 4. Ratio

    Orange and purple counters are in the ratio 9:3. What fraction of the counters are orange?

    Answer: 3⁄4
  5. 5. Statistics

    The mean of 4 numbers is 20. If 3 of them are 24, 22, 24, what is the missing number?

    Answer: 10

Wednesday 2 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 0.000038 in standard form

    Answer: 3.8 × 10-5
  2. 2. Algebra

    Factorise: x² + x - 20

    Answer: (x + 5)(x - 4)
  3. 3. Geometry

    Adjacent = 17cm, angle = 49°. Find opposite. Give your answer to 2 decimal places

    Answer: 19.56cm
  4. 4. Ratio

    Express the first part of 14:12 as a fraction in simplest form

    Answer: 7⁄13
  5. 5. Statistics

    The mean of 6 numbers is 25. If 5 of them are 20, 26, 27, 23, 35, what is the missing number?

    Answer: 19

Thursday 3 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 66,000,000 in standard form

    Answer: 6.6 × 107
  2. 2. Algebra

    Factorise: x² + 8x + 12

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

    Hypotenuse = 18cm, angle = 55°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 10.32cm
  4. 4. Ratio

    Simplify: 15:15:18

    Answer: 5:5:6
  5. 5. Statistics

    Calculate the mean of: 8, 42, 35, 17, 49, 5

    Answer: 26

Friday 4 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Write 73,000,000 in standard form

    Answer: 7.3 × 107
  2. 2. Algebra

    Factorise: x² + 19x + 84

    Answer: (x + 12)(x + 7)
  3. 3. Geometry

    Hypotenuse = 32cm, angle = 54°. Find adjacent side. Give your answer to 2 decimal places

    Answer: 18.81cm
  4. 4. Ratio

    In ratio 7:5:8, what fraction is the third part?

    Answer: 2⁄5
  5. 5. Statistics

    The mean of 4 numbers is 30. If 3 of them are 18, 50, 30, what is the missing number?

    Answer: 22