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Capstone Jan 8 - 14 25 questions
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Monday 8 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√90

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 5x² - 50x - 2

    Answer: 5(x - 5)² - 127
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 16cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 116.44cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 63:35:10
  5. 5. Statistics

    Find the mean, median and range of: 41, 53, 86, 12, 25, 48, 64, 94. Give your answer to 2 decimal places

    Answer: Mean = 52.88, Median = 50.5, Range = 82

Tuesday 9 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: 2x² - 16x + 10

    Answer: 2(x - 4)² - 22
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 15cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 188.36cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 14:18:63
  5. 5. Statistics

    Find the mean, median and range of: 27, 52, 34, 31, 22, 17, 17. Give your answer to 2 decimal places

    Answer: Mean = 28.57, Median = 27, Range = 35

Wednesday 10 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: 3x² + 24x + 3

    Answer: 3(x + 4)² - 45
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 29cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 247.22cm²
  4. 4. Ratio

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

    Answer: 36:20:45
  5. 5. Statistics

    Find the mean, median and range of: 76, 91, 42, 99, 35, 84, 76. Give your answer to 2 decimal places

    Answer: Mean = 71.86, Median = 76, Range = 64

Thursday 11 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² + 9x - 12

    Answer: (x + 9⁄2)² - 129⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 14cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 99.79cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 8:72:27
  5. 5. Statistics

    Find the mean, median and range of: 67, 10, 88, 74, 46, 78, 76, 83, 92. Give your answer to 2 decimal places

    Answer: Mean = 68.22, Median = 76, Range = 82

Friday 12 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: 3x² - 36x + 10

    Answer: 3(x - 6)² - 98
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 18cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 195.76cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 56:72:27
  5. 5. Statistics

    Find the mean, median and range of: 50, 10, 95, 100, 41, 43, 96. Give your answer to 2 decimal places

    Answer: Mean = 62.14, Median = 50, Range = 90