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Capstone Oct 17 - 23 25 questions
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Monday 17 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: 2x² + 4x - 13

    Answer: 2(x + 1)² - 15
  3. 3. Geometry

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

    Answer: 222.52cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 48:40:25
  5. 5. Statistics

    Find the mean, median and range of: 42, 34, 74, 14, 79, 42, 24. Give your answer to 2 decimal places

    Answer: Mean = 44.14, Median = 42, Range = 65

Tuesday 18 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√80

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - 5x + 11

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

    Find area of triangle: a = 19cm, b = 19cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 142.24cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 3:5. Find a:b:c in its simplest form.

    Answer: 3:21:35
  5. 5. Statistics

    Find the mean, median and range of: 26, 95, 47, 10, 88, 36, 74. Give your answer to 2 decimal places

    Answer: Mean = 53.71, Median = 47, Range = 85

Wednesday 19 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: 3x² - 12x - 1

    Answer: 3(x - 2)² - 13
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 22cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 120.2cm²
  4. 4. Ratio

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

    Answer: 27:24:56
  5. 5. Statistics

    Find the mean, median and range of: 75, 59, 18, 46, 94, 97, 29, 77, 92. Give your answer to 2 decimal places

    Answer: Mean = 65.22, Median = 75, Range = 79

Thursday 20 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 4x² + 32x - 7

    Answer: 4(x + 4)² - 71
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 21cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 171.67cm²
  4. 4. Ratio

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

    Answer: 9:63:7
  5. 5. Statistics

    Find the mean, median and range of: 50, 28, 49, 50, 21, 17, 93

    Answer: Mean = 44, Median = 49, Range = 76

Friday 21 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: x² - 7x + 10

    Answer: (x - 7⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 25cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 215.17cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 21:14:2
  5. 5. Statistics

    Find the mean, median and range of: 93, 94, 31, 43, 50, 35, 19, 37

    Answer: Mean = 50.25, Median = 40, Range = 75