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Capstone Jan 26 - Feb 1 25 questions
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Monday 26 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 2x² + 16x - 8

    Answer: 2(x + 4)² - 40
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 16cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 138.42cm²
  4. 4. Ratio

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

    Answer: 28:36:81
  5. 5. Statistics

    Find the mean, median and range of: 84, 98, 22, 35, 28, 86, 55, 25. Give your answer to 2 decimal places

    Answer: Mean = 54.13, Median = 45, Range = 76

Tuesday 27 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: x² + x - 12

    Answer: (x + 1⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 29cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 381.47cm²
  4. 4. Ratio

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

    Answer: 7:35:5
  5. 5. Statistics

    Find the mean, median and range of: 77, 92, 99, 41, 100, 46, 50, 42, 31. Give your answer to 2 decimal places

    Answer: Mean = 64.22, Median = 50, Range = 69

Wednesday 28 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √360

    Answer: 6√10
  2. 2. Algebra

    Complete the square: x² - 5x - 5

    Answer: (x - 5⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 20cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 267.3cm²
  4. 4. Ratio

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

    Answer: 4:20:5
  5. 5. Statistics

    Find the mean, median and range of: 20, 61, 95, 21, 38, 46, 86, 97

    Answer: Mean = 58, Median = 53.5, Range = 77

Thursday 29 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√175

    Answer: 10√7
  2. 2. Algebra

    Complete the square: x² - 5x - 6

    Answer: (x - 5⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 28cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 322.98cm²
  4. 4. Ratio

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

    Answer: 35:15:9
  5. 5. Statistics

    Find the mean, median and range of: 27, 39, 82, 25, 94, 29, 53, 22. Give your answer to 2 decimal places

    Answer: Mean = 46.38, Median = 34, Range = 72

Friday 30 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √325

    Answer: 5√13
  2. 2. Algebra

    Complete the square: 4x² + 8x + 10

    Answer: 4(x + 1)² + 6
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 23cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 215.69cm²
  4. 4. Ratio

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

    Answer: 10:35:14
  5. 5. Statistics

    Find the mean, median and range of: 28, 41, 93, 64, 80, 52, 54, 40

    Answer: Mean = 56.5, Median = 53, Range = 65