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Capstone Feb 5 - 11 25 questions
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Monday 2 February 2026

Keystones #33 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 108. What are the numbers?

    Answer: 35, 36, and 37
  2. 2. Algebra

    Solve: x⁄2 = 10

    Answer: x = 20
  3. 3. Geometry

    Adjacent = 21cm, hypotenuse = 27cm. Find the angle

    Answer: 38.9°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄8

Tuesday 3 February 2026

Keystones #34 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 132. What are the numbers?

    Answer: 43, 44, and 45
  2. 2. Algebra

    Simplify: 7x - 6x + 7y - 3y

    Answer: x + 4y
  3. 3. Geometry

    Adjacent = 13cm, hypotenuse = 30cm. Find the angle

    Answer: 64.3°
  4. 4. Ratio

    Calculate 21.4% of 418

    Answer: 89.45
  5. 5. Statistics

    A spinner has 5 red, 4 blue and 5 green sections. Probability of landing on red?

    Answer: 5⁄14

Wednesday 4 February 2026

Keystones #35 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 123. What are the numbers?

    Answer: 40, 41, and 42
  2. 2. Algebra

    Simplify: 17x²y³ ÷ 3xy²

    Answer: 5.6666666666667xy
  3. 3. Geometry

    Adjacent = 22cm, hypotenuse = 39cm. Find the angle

    Answer: 55.7°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 2⁄5

Thursday 5 February 2026

Keystones #36 · Five questions · Open this day only

  1. 1. Number

    Calculate: 4⁄6 + 2⁄5 + 3⁄5

    Answer: 5⁄3
  2. 2. Algebra

    Solve: x⁄2 = 14

    Answer: x = 28
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 42cm. Find the angle

    Answer: 50°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 25. If 5 of them are 38, 30, 25, 50, 19, what is the missing number?

    Answer: -12

Friday 6 February 2026

Keystones #37 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2⁄6 + 1⁄3 + 2⁄6

    Answer: 1⁄1
  2. 2. Algebra

    Find the next term: 1, 4, 10, 19, ...

    Answer: 31
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 27cm. Find the angle

    Answer: 45.3°
  4. 4. Ratio

    Calculate 49.3% of 417

    Answer: 205.58
  5. 5. Statistics

    A spinner has 3 red, 2 blue and 6 green sections. Probability of landing on red?

    Answer: 3⁄11