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Capstone Jul 13 - 19 25 questions
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Monday 13 July 2026

Keystones #194 · 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 = 28cm, b = 20cm, angle = 61°

    Answer: 244.9cm²
  4. 4. Ratio

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

    Answer: 2:4:3
  5. 5. Statistics

    Find the mean, median and range of: 49, 92, 88, 81, 37, 54, 57

    Answer: Mean = 65.4, Median = 57, Range = 55

Tuesday 14 July 2026

Keystones #195 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 17cm, angle = 61°

    Answer: 185.9cm²
  4. 4. Ratio

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

    Answer: 4:2:3
  5. 5. Statistics

    Find the mean, median and range of: 61, 68, 41, 44, 24, 53, 31, 83, 47

    Answer: Mean = 50.2, Median = 47, Range = 59

Wednesday 15 July 2026

Keystones #196 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 23cm, b = 26cm, angle = 75°

    Answer: 288.8cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 4:5. Find a:b:c.

    Answer: 6:4:5
  5. 5. Statistics

    Find the mean, median and range of: 42, 93, 21, 97, 42, 44, 94, 99

    Answer: Mean = 66.5, Median = 93, Range = 78

Thursday 16 July 2026

Keystones #197 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 15cm, angle = 63°

    Answer: 147cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:5. Find a:b:c.

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 33, 25, 43, 100, 58, 90, 49, 32, 24

    Answer: Mean = 50.4, Median = 43, Range = 76

Friday 17 July 2026

Keystones #198 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 28cm, angle = 73°

    Answer: 267.8cm²
  4. 4. Ratio

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

    Answer: 12:6:12
  5. 5. Statistics

    Find the mean, median and range of: 55, 87, 22, 45, 85, 46, 13

    Answer: Mean = 50.4, Median = 46, Range = 74