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Capstone Aug 29 - Sep 4 25 questions
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Monday 29 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√8

    Answer: 8√2
  2. 2. Algebra

    Complete the square: 4x² - 8x - 13

    Answer: 4(x - 1)² - 17
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 18cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 97.88cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 7:63:36
  5. 5. Statistics

    Find the mean, median and range of: 96, 47, 73, 18, 18, 30, 58. Give your answer to 2 decimal places

    Answer: Mean = 48.57, Median = 47, Range = 78

Tuesday 30 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: x² - 11x - 2

    Answer: (x - 11⁄2)² - 129⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 14cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 89.01cm²
  4. 4. Ratio

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

    Answer: 6:21:14
  5. 5. Statistics

    Find the mean, median and range of: 25, 20, 64, 27, 89, 84, 72. Give your answer to 2 decimal places

    Answer: Mean = 54.43, Median = 64, Range = 69

Wednesday 31 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: x² - 5x - 11

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

    Find area of triangle: a = 16cm, b = 15cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 107.86cm²
  4. 4. Ratio

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

    Answer: 16:72:81
  5. 5. Statistics

    Find the mean, median and range of: 25, 74, 25, 71, 50, 90, 98, 66. Give your answer to 2 decimal places

    Answer: Mean = 62.38, Median = 68.5, Range = 73

Thursday 1 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√20

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² - 3x - 3

    Answer: (x - 3⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 27cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 304.25cm²
  4. 4. Ratio

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

    Answer: 35:42:30
  5. 5. Statistics

    Find the mean, median and range of: 31, 29, 51, 60, 77, 23, 25, 67, 80. Give your answer to 2 decimal places

    Answer: Mean = 49.22, Median = 51, Range = 57

Friday 2 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: 2x² - 8x - 10

    Answer: 2(x - 2)² - 18
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 27cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 210.68cm²
  4. 4. Ratio

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

    Answer: 49:56:8
  5. 5. Statistics

    Find the mean, median and range of: 84, 67, 38, 71, 33, 94, 89

    Answer: Mean = 68, Median = 71, Range = 61