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Lintel Aug 3 - 9 25 questions
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Monday 3 August 2026

Keystones #215 · Five questions · Open this day only

  1. 1. Number

    Write 72 as a product of its prime factors

    Answer: 2³ × 3²
  2. 2. Algebra

    Solve: 2x + 3y = 37 and 3x - y = 17

    Answer: x = 8, y = 7
  3. 3. Geometry

    Find b if a = 12cm and c = 17cm

    Answer: 12.04cm
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    A fair coin is flipped 60 times. How many heads would you expect?

    Answer: 30

Tuesday 4 August 2026

Keystones #216 · Five questions · Open this day only

  1. 1. Number

    Write 48 as a product of its prime factors

    Answer: 2⁴ × 3
  2. 2. Algebra

    Solve: 2x + 3y = 28 and 3x - y = 20

    Answer: x = 8, y = 4
  3. 3. Geometry

    Find b if a = 5cm and c = 15cm

    Answer: 14.14cm
  4. 4. Ratio

    a:b is 1:2 and b:c is 4:7. Find a:b:c.

    Answer: 2:4:7
  5. 5. Statistics

    A bag has 4 red out of 9 balls. If you pick 102 times (with replacement), how many times would you expect red?

    Answer: 45.3

Wednesday 5 August 2026

Keystones #217 · Five questions · Open this day only

  1. 1. Number

    Express 100 as a product of prime factors

    Answer: 2² × 5²
  2. 2. Algebra

    Solve: 5x + 2y = 14 and x + 3y = 8

    Answer: x = 2, y = 2
  3. 3. Geometry

    Calculate the missing side: a = 14cm, c = 29cm

    Answer: 25.4cm
  4. 4. Ratio

    a:b is 3:5 and b:c is 5:7. Find a:b:c.

    Answer: 3:5:7
  5. 5. Statistics

    A fair coin is flipped 82 times. How many heads would you expect?

    Answer: 41

Thursday 6 August 2026

Keystones #218 · Five questions · Open this day only

  1. 1. Number

    Write 90 as a product of its prime factors

    Answer: 2 × 3² × 5
  2. 2. Algebra

    Solve: 2x + 5y = 45 and 3x + 2y = 29

    Answer: x = 5, y = 7
  3. 3. Geometry

    Find b if a = 14cm and c = 19cm

    Answer: 12.85cm
  4. 4. Ratio

    a:b is 3:5 and b:c is 5:6. Find a:b:c.

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

    A fair coin is flipped 192 times. How many heads would you expect?

    Answer: 96

Friday 7 August 2026

Keystones #219 · Five questions · Open this day only

  1. 1. Number

    Express 200 as a product of prime factors

    Answer: 2³ × 5²
  2. 2. Algebra

    Solve: 2x + 3y = 14 and 3x - y = 10

    Answer: x = 4, y = 2
  3. 3. Geometry

    Calculate the missing side: a = 17cm, c = 35cm

    Answer: 30.6cm
  4. 4. Ratio

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

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

    A bag has 2 red out of 13 balls. If you pick 97 times (with replacement), how many times would you expect red?

    Answer: 14.9