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Capstone Nov 2 - 8 25 questions
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Monday 2 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √612

    Answer: 6√17
  2. 2. Algebra

    Complete the square: x² - 5x + 11

    Answer: (x - 5⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 16cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 192.25cm²
  4. 4. Ratio

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

    Answer: 56:40:25
  5. 5. Statistics

    Find the mean, median and range of: 88, 23, 43, 72, 97, 67, 65, 77

    Answer: Mean = 66.5, Median = 69.5, Range = 74

Tuesday 3 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √525

    Answer: 5√21
  2. 2. Algebra

    Complete the square: 3x² + 18x - 5

    Answer: 3(x + 3)² - 32
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 22cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 184.51cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 4:18:15
  5. 5. Statistics

    Find the mean, median and range of: 96, 15, 54, 36, 44, 97, 62, 84, 93. Give your answer to 2 decimal places

    Answer: Mean = 64.56, Median = 62, Range = 82

Wednesday 4 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: x² - 11x - 8

    Answer: (x - 11⁄2)² - 153⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 21cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 245.52cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 40:45:27
  5. 5. Statistics

    Find the mean, median and range of: 29, 46, 56, 75, 94, 83, 18, 19, 40. Give your answer to 2 decimal places

    Answer: Mean = 51.11, Median = 46, Range = 76

Thursday 5 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: 3x² - 6x - 9

    Answer: 3(x - 1)² - 12
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 29cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 298.29cm²
  4. 4. Ratio

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

    Answer: 9:63:49
  5. 5. Statistics

    Find the mean, median and range of: 80, 77, 60, 96, 35, 97, 12, 45

    Answer: Mean = 62.75, Median = 68.5, Range = 85

Friday 6 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: x² - 7x - 9

    Answer: (x - 7⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 30cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 189.5cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 24:56:7
  5. 5. Statistics

    Find the mean, median and range of: 97, 31, 31, 10, 33, 92, 46, 14

    Answer: Mean = 44.25, Median = 32, Range = 87