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Capstone Jan 1 - 7 25 questions
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Monday 3 January 2022

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

    Simplify: 17x²y³ ÷ 4xy²

    Answer: 4.25xy
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 41cm. Find the angle

    Answer: 50.6°
  4. 4. Ratio

    Calculate 29.3% of 789

    Answer: 231.18
  5. 5. Statistics

    The mean of 6 numbers is 29. If 5 of them are 18, 44, 36, 29, 23, what is the missing number?

    Answer: 24

Tuesday 4 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 147. What are the numbers?

    Answer: 48, 49, and 50
  2. 2. Algebra

    Solve: x8 = 2.75

    Answer: x = 22
  3. 3. Geometry

    Adjacent = 20cm, hypotenuse = 26cm. Find the angle

    Answer: 39.7°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 30. If 4 of them are 40, 43, 40, 32, what is the missing number?

    Answer: -5

Wednesday 5 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 96. What are the numbers?

    Answer: 31, 32, and 33
  2. 2. Algebra

    Solve: x5 = 2.2

    Answer: x = 11
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 28cm. Find the angle

    Answer: 55.2°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 314

Thursday 6 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 994 + 719

    Answer: 1713
  2. 2. Algebra

    Factorise fully: 20x² + 28x

    Answer: 4x(5x + 7)
  3. 3. Geometry

    Adjacent = 25cm, hypotenuse = 45cm. Find the angle

    Answer: 56.3°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 25

Friday 7 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 150. What are the numbers?

    Answer: 49, 50, and 51
  2. 2. Algebra

    Solve: x2 = 12.5

    Answer: x = 25
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 34cm. Find the angle

    Answer: 61.9°
  4. 4. Ratio

    Calculate 31.9% of 283

    Answer: 90.28
  5. 5. Statistics

    The mean of 6 numbers is 33. If 5 of them are 49, 20, 33, 27, 17, what is the missing number?

    Answer: 52