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Capstone Jan 1 - 7 25 questions
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Monday 27 January 2025

Keystones #1 · 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

    Solve: x⁄6 = 4.1666666666667

    Answer: x = 25
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 38cm. Find the angle

    Answer: 46.8°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 6 red, 2 blue and 4 green sections. Probability of landing on red?

    Answer: 1⁄2

Tuesday 28 January 2025

Keystones #1 · 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⁄4 = 6

    Answer: x = 24
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 33cm. Find the angle

    Answer: 45.8°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 4 red, 2 blue and 5 green sections. Probability of landing on red?

    Answer: 4⁄11

Wednesday 29 January 2025

Keystones #1 · 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

    Solve: x⁄6 = 4.1666666666667

    Answer: x = 25
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 35cm. Find the angle

    Answer: 57.1°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 21. If 4 of them are 24, 23, 40, 17, what is the missing number?

    Answer: 1

Thursday 30 January 2025

Keystones #1 · 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⁄5 = 1.8

    Answer: x = 9
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 37cm. Find the angle

    Answer: 49.6°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄2

Friday 31 January 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 117. What are the numbers?

    Answer: 38, 39, and 40
  2. 2. Algebra

    Factorise fully: 8x² + 8x

    Answer: 4x(2x + 2)
  3. 3. Geometry

    Adjacent = 13cm, hypotenuse = 33cm. Find the angle

    Answer: 66.8°
  4. 4. Ratio

    Calculate 39.8% of 742

    Answer: 295.32
  5. 5. Statistics

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

    Answer: 5⁄14