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Lintel Jun 15 - 21 25 questions
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Monday 15 June 2026

Keystones #166 · Five questions · Open this day only

  1. 1. Number

    Express 120 as a product of prime factors

    Answer: 2³ × 3 × 5
  2. 2. Algebra

    Solve: 2x + 2y = 18 and x + 3y = 15

    Answer: x = 6, y = 3
  3. 3. Geometry

    Calculate the missing side: a = 19cm, c = 25cm

    Answer: 16.2cm
  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 fair coin is flipped 54 times. How many heads would you expect?

    Answer: 27

Tuesday 16 June 2026

Keystones #167 · Five questions · Open this day only

  1. 1. Number

    Write 36 as a product of its prime factors

    Answer: 2² × 3²
  2. 2. Algebra

    Solve: 2x + 3y = 37 and 2x + 4y = 44

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

    Find b if a = 12cm and c = 21cm

    Answer: 17.23cm
  4. 4. Ratio

    a:b is 4:5 and b:c is 5:6. Find a:b:c.

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

    A fair coin is flipped 132 times. How many heads would you expect?

    Answer: 66

Wednesday 17 June 2026

Keystones #168 · Five questions · Open this day only

  1. 1. Number

    Express 180 as a product of prime factors

    Answer: 2² × 3² × 5
  2. 2. Algebra

    Solve: 2x + 3y = 38 and 3x - y = 13

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

    Calculate the missing side: a = 10cm, c = 27cm

    Answer: 25.cm
  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

    A bag has 3 red out of 9 balls. If you pick 112 times (with replacement), how many times would you expect red?

    Answer: 37.3

Thursday 18 June 2026

Keystones #169 · 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 = 22 and 3x - y = 22

    Answer: x = 8, y = 2
  3. 3. Geometry

    Calculate the missing side: a = 25cm, c = 38cm

    Answer: 28.6cm
  4. 4. Ratio

    a:b is 4:3 and b:c is 3:7. Find a:b:c.

    Answer: 4:3:7
  5. 5. Statistics

    A bag has 2 red out of 10 balls. If you pick 110 times (with replacement), how many times would you expect red?

    Answer: 22

Friday 19 June 2026

Keystones #170 · 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: 3x + 5y = 26 and 2x + y = 8

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

    Find b if a = 7cm and c = 19cm

    Answer: 17.66cm
  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

    A fair coin is flipped 174 times. How many heads would you expect?

    Answer: 87