Change pack
Capstone Jan 19 - 25 25 questions
PDF (questions) PDF (answers)

Monday 19 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√175

    Answer: 15√7
  2. 2. Algebra

    Complete the square: x² - 3x + 4

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

    Find area of triangle: a = 27cm, b = 30cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 357.59cm²
  4. 4. Ratio

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

    Answer: 81:72:8
  5. 5. Statistics

    Find the mean, median and range of: 49, 63, 86, 93, 51, 71, 77

    Answer: Mean = 70, Median = 71, Range = 44

Tuesday 20 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: 3x² + 6x - 5

    Answer: 3(x + 1)² - 8
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 29cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 160.17cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 40:15:18
  5. 5. Statistics

    Find the mean, median and range of: 74, 30, 63, 71, 80, 13, 67, 94

    Answer: Mean = 61.5, Median = 69, Range = 81

Wednesday 21 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √160

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² - 7x + 9

    Answer: (x - 7⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 153.17cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 28:20:5
  5. 5. Statistics

    Find the mean, median and range of: 33, 63, 98, 18, 29, 97, 31, 78. Give your answer to 2 decimal places

    Answer: Mean = 55.88, Median = 48, Range = 80

Thursday 22 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √896

    Answer: 8√14
  2. 2. Algebra

    Complete the square: 4x² - 40x - 4

    Answer: 4(x - 5)² - 104
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 29cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 296.94cm²
  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: 31, 39, 72, 75, 86, 55, 21. Give your answer to 2 decimal places

    Answer: Mean = 54.14, Median = 55, Range = 65

Friday 23 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: x² - 7x - 7

    Answer: (x - 7⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 18cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 206.83cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 5:4. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 14, 47, 80, 97, 93, 72, 47, 98

    Answer: Mean = 68.5, Median = 76, Range = 84