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Capstone Jun 26 - Jul 2 25 questions
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Monday 26 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√20

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3x - 6

    Answer: (x + 3⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 30cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 383.69cm²
  4. 4. Ratio

    a:b is 7:2 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 49:14:8
  5. 5. Statistics

    Find the mean, median and range of: 60, 36, 25, 92, 46, 86, 46, 12. Give your answer to 2 decimal places

    Answer: Mean = 50.38, Median = 46, Range = 80

Tuesday 27 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√45

    Answer: 9√5
  2. 2. Algebra

    Complete the square: x² - 3x - 4

    Answer: (x - 3⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 12cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 103.58cm²
  4. 4. Ratio

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

    Answer: 35:63:45
  5. 5. Statistics

    Find the mean, median and range of: 88, 11, 24, 63, 62, 53, 34, 61

    Answer: Mean = 49.5, Median = 57, Range = 77

Wednesday 28 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √540

    Answer: 6√15
  2. 2. Algebra

    Complete the square: 5x² - 40x + 11

    Answer: 5(x - 4)² - 69
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 293.53cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 5:30:12
  5. 5. Statistics

    Find the mean, median and range of: 58, 74, 42, 21, 31, 66, 43. Give your answer to 2 decimal places

    Answer: Mean = 47.86, Median = 43, Range = 53

Thursday 29 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √896

    Answer: 8√14
  2. 2. Algebra

    Complete the square: x² + 7x - 12

    Answer: (x + 7⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 23cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 236.2cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 9:18:16
  5. 5. Statistics

    Find the mean, median and range of: 88, 87, 75, 12, 15, 58, 39. Give your answer to 2 decimal places

    Answer: Mean = 53.43, Median = 58, Range = 76

Friday 30 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: 4x² + 24x - 7

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

    Find area of triangle: a = 19cm, b = 28cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 174.51cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 28:35:30
  5. 5. Statistics

    Find the mean, median and range of: 75, 41, 18, 46, 12, 30, 17, 85

    Answer: Mean = 40.5, Median = 35.5, Range = 73