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Capstone Sep 11 - 17 25 questions
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Monday 11 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√96

    Answer: 8√6
  2. 2. Algebra

    Complete the square: 5x² + 10x

    Answer: 5(x + 1)² - 5
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 26cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 327.16cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 14:18:3
  5. 5. Statistics

    Find the mean, median and range of: 87, 94, 63, 61, 25, 23, 18

    Answer: Mean = 53, Median = 61, Range = 76

Tuesday 12 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² - 3x + 10

    Answer: (x - 3⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 26cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 261.27cm²
  4. 4. Ratio

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

    Answer: 72:63:49
  5. 5. Statistics

    Find the mean, median and range of: 11, 84, 13, 55, 27, 27, 97, 33, 59. Give your answer to 2 decimal places

    Answer: Mean = 45.11, Median = 33, Range = 86

Wednesday 13 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: x² - 3x + 11

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

    Find area of triangle: a = 17cm, b = 21cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 165.5cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 8:36:9
  5. 5. Statistics

    Find the mean, median and range of: 27, 99, 36, 26, 61, 48, 84. Give your answer to 2 decimal places

    Answer: Mean = 54.43, Median = 48, Range = 73

Thursday 14 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: 4x² + 40x + 3

    Answer: 4(x + 5)² - 97
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 24cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 346.05cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 27:45:20
  5. 5. Statistics

    Find the mean, median and range of: 17, 41, 96, 47, 53, 43, 54. Give your answer to 2 decimal places

    Answer: Mean = 50.14, Median = 47, Range = 79

Friday 15 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: x² - 3x + 4

    Answer: (x - 3⁄2)² + 7⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 14cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 117.43cm²
  4. 4. Ratio

    a:b is 5:7 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 15:21:28
  5. 5. Statistics

    Find the mean, median and range of: 71, 80, 31, 34, 44, 50, 90, 76, 93. Give your answer to 2 decimal places

    Answer: Mean = 63.22, Median = 71, Range = 62