Change pack
Capstone Jul 23 - 29 25 questions
PDF (questions) PDF (answers)

Monday 20 July 2026

Keystones #35 · Five questions · Open this day only

  1. 1. Number

    Simplify: √8 + √18

    Answer: 2√2 + 3√2 = 5√2
  2. 2. Algebra

    Solve: x⁄3 = 11.333333333333

    Answer: x = 34
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 23cm. Find the angle

    Answer: 45.9°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 5 red, 6 blue and 3 green sections. Probability of landing on red?

    Answer: 5⁄14

Tuesday 21 July 2026

Keystones #36 · Five questions · Open this day only

  1. 1. Number

    Calculate: 5⁄6 + 4⁄5 + 3⁄5

    Answer: 67⁄30
  2. 2. Algebra

    Find the next term: 1, 3, 7, 13, ...

    Answer: 21
  3. 3. Geometry

    Find the distance between (-7, -2) and (10, 9)

    Answer: 20.25
  4. 4. Ratio

    Calculate 26.2% of 820

    Answer: 214.84
  5. 5. Statistics

    The mean of 4 numbers is 37. If 3 of them are 46, 48, 26, what is the missing number?

    Answer: 28

Wednesday 22 July 2026

Keystones #37 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 126. What are the numbers?

    Answer: 41, 42, and 43
  2. 2. Algebra

    Factorise fully: 25x² + 10x

    Answer: 5x(5x + 2)
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 22cm. Find the angle

    Answer: 43.3°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 20. If 3 of them are 48, 35, 17, what is the missing number?

    Answer: -20

Thursday 23 July 2026

Keystones #38 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 102. What are the numbers?

    Answer: 33, 34, and 35
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 34cm. Find the angle

    Answer: 31.5°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 3 red, 4 blue and 2 green sections. Probability of landing on red?

    Answer: 1⁄3

Friday 24 July 2026

Keystones #39 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 138. What are the numbers?

    Answer: 45, 46, and 47
  2. 2. Algebra

    Solve: x⁄2 = 8.5

    Answer: x = 17
  3. 3. Geometry

    Find c if a = 20cm and b = 21cm in a right triangle

    Answer: 29cm
  4. 4. Ratio

    Calculate 28.3% of 413

    Answer: 116.88
  5. 5. Statistics

    A spinner has 3 red, 6 blue and 6 green sections. Probability of landing on red?

    Answer: 1⁄5