Change pack
Capstone Feb 3 - 9 25 questions
PDF (questions) PDF (answers)

Monday 3 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 26cm, angle = 76°

    Answer: 239.7cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:3. Find a:b:c.

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 10, 75, 30, 100, 34, 45, 62, 63, 52

    Answer: Mean = 52.3, Median = 52, Range = 90

Tuesday 4 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 13cm, angle = 48°

    Answer: 58cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 2:5. Find a:b:c.

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 15, 56, 87, 10, 24, 42, 88

    Answer: Mean = 46, Median = 42, Range = 78

Wednesday 5 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 26cm, angle = 66°

    Answer: 344.4cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 1:3. Find a:b:c.

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 31, 45, 63, 40, 65, 78, 65, 28, 54

    Answer: Mean = 52.1, Median = 54, Range = 50

Thursday 6 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 25cm, angle = 73°

    Answer: 334.7cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 1:2. Find a:b:c.

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 75, 98, 61, 31, 32, 63, 62, 50, 51

    Answer: Mean = 58.1, Median = 61, Range = 67

Friday 7 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 22cm, angle = 40°

    Answer: 155.6cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 4:5. Find a:b:c.

    Answer: 3:4:5
  5. 5. Statistics

    Find the mean, median and range of: 84, 35, 69, 55, 90, 66, 96

    Answer: Mean = 70.7, Median = 69, Range = 61