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Capstone Jan 29 - Feb 4 25 questions
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Monday 29 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: 5x² - 20x + 12

    Answer: 5(x - 2)² - 8
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 22cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 279.09cm²
  4. 4. Ratio

    a:b is 5:7 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 30:42:7
  5. 5. Statistics

    Find the mean, median and range of: 87, 34, 60, 49, 99, 71, 66, 98

    Answer: Mean = 70.5, Median = 68.5, Range = 65

Tuesday 30 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: x² - x + 12

    Answer: (x - 1⁄2)² + 47⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 29cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 156.39cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 7:56:48
  5. 5. Statistics

    Find the mean, median and range of: 35, 60, 25, 82, 36, 64, 10. Give your answer to 2 decimal places

    Answer: Mean = 44.57, Median = 36, Range = 72

Wednesday 31 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√48

    Answer: 16√3
  2. 2. Algebra

    Complete the square: 3x² + 24x - 6

    Answer: 3(x + 4)² - 54
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 28cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 282.61cm²
  4. 4. Ratio

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

    Answer: 21:35:20
  5. 5. Statistics

    Find the mean, median and range of: 78, 30, 74, 18, 54, 84, 17. Give your answer to 2 decimal places

    Answer: Mean = 50.71, Median = 54, Range = 67

Thursday 1 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√275

    Answer: 15√11
  2. 2. Algebra

    Complete the square: x² + 7x - 2

    Answer: (x + 7⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 20cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 222.52cm²
  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: 45, 37, 26, 15, 92, 85, 77. Give your answer to 2 decimal places

    Answer: Mean = 53.86, Median = 45, Range = 77

Friday 2 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√90

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 3x² + 12x + 10

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

    Find area of triangle: a = 16cm, b = 19cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 132.94cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 48:56:21
  5. 5. Statistics

    Find the mean, median and range of: 18, 87, 57, 24, 39, 45, 81, 72. Give your answer to 2 decimal places

    Answer: Mean = 52.88, Median = 51, Range = 69