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Capstone Aug 1 - 7 25 questions
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Monday 1 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√45

    Answer: 15√5
  2. 2. Algebra

    Complete the square: 2x² - 4x + 1

    Answer: 2(x - 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 14cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 65.28cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 56:63:45
  5. 5. Statistics

    Find the mean, median and range of: 83, 69, 97, 47, 60, 23, 74. Give your answer to 2 decimal places

    Answer: Mean = 64.71, Median = 69, Range = 74

Tuesday 2 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 2x² - 12x - 9

    Answer: 2(x - 3)² - 27
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 26cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 126.43cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 35:14:16
  5. 5. Statistics

    Find the mean, median and range of: 56, 63, 79, 51, 77, 20, 24, 44

    Answer: Mean = 51.75, Median = 53.5, Range = 59

Wednesday 3 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: x² - x + 11

    Answer: (x - 1⁄2)² + 43⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 16cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 83.14cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 16:28:35
  5. 5. Statistics

    Find the mean, median and range of: 49, 58, 76, 36, 84, 98, 72, 35, 51. Give your answer to 2 decimal places

    Answer: Mean = 62.11, Median = 58, Range = 63

Thursday 4 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√112

    Answer: 16√7
  2. 2. Algebra

    Complete the square: x² + x + 10

    Answer: (x + 1⁄2)² + 39⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 17cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 103.15cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 72:63:56
  5. 5. Statistics

    Find the mean, median and range of: 64, 81, 39, 71, 26, 47, 73, 22. Give your answer to 2 decimal places

    Answer: Mean = 52.88, Median = 55.5, Range = 59

Friday 5 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 11x - 11

    Answer: (x + 11⁄2)² - 165⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 20cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 120cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 28:24:15
  5. 5. Statistics

    Find the mean, median and range of: 51, 47, 80, 88, 80, 70, 74, 59. Give your answer to 2 decimal places

    Answer: Mean = 68.63, Median = 72, Range = 41