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Capstone Jul 31 - Aug 6 25 questions
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Monday 31 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√44

    Answer: 6√11
  2. 2. Algebra

    Complete the square: 2x² + 16x - 11

    Answer: 2(x + 4)² - 43
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 25cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 124.48cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 15:10:16
  5. 5. Statistics

    Find the mean, median and range of: 17, 33, 84, 49, 34, 38, 98, 77, 86. Give your answer to 2 decimal places

    Answer: Mean = 57.33, Median = 49, Range = 81

Tuesday 1 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: x² + 11x + 7

    Answer: (x + 11⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 27cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 319.08cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 7:56:8
  5. 5. Statistics

    Find the mean, median and range of: 90, 79, 36, 100, 55, 87, 67. Give your answer to 2 decimal places

    Answer: Mean = 73.43, Median = 79, Range = 64

Wednesday 2 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: x² - 11x - 9

    Answer: (x - 11⁄2)² - 157⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 24cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 273.9cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 9:45:20
  5. 5. Statistics

    Find the mean, median and range of: 22, 37, 15, 87, 25, 50, 13, 54, 77. Give your answer to 2 decimal places

    Answer: Mean = 42.22, Median = 37, Range = 74

Thursday 3 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √605

    Answer: 11√5
  2. 2. Algebra

    Complete the square: x² + 11x - 6

    Answer: (x + 11⁄2)² - 145⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 27cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 347.15cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 25:20:4
  5. 5. Statistics

    Find the mean, median and range of: 33, 75, 77, 26, 92, 57, 98, 43, 15. Give your answer to 2 decimal places

    Answer: Mean = 57.33, Median = 57, Range = 83

Friday 4 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√44

    Answer: 8√11
  2. 2. Algebra

    Complete the square: x² + x + 9

    Answer: (x + 1⁄2)² + 35⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 27cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 239.46cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 3:24:20
  5. 5. Statistics

    Find the mean, median and range of: 22, 30, 87, 50, 28, 35, 17, 47

    Answer: Mean = 39.5, Median = 32.5, Range = 70