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Capstone Jan 1 - 7 25 questions
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Monday 22 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 120. What are the numbers?

    Answer: 39, 40, and 41
  2. 2. Algebra

    Solve: x6 = 6.3333333333333

    Answer: x = 38
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 40cm. Find the angle

    Answer: 41.4°
  4. 4. Ratio

    Calculate 18.3% of 342

    Answer: 62.59
  5. 5. Statistics

    The mean of 5 numbers is 39. If 4 of them are 49, 35, 46, 39, what is the missing number?

    Answer: 26

Tuesday 23 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 114. What are the numbers?

    Answer: 37, 38, and 39
  2. 2. Algebra

    Solve: x2 = 15

    Answer: x = 30
  3. 3. Geometry

    Adjacent = 17cm, hypotenuse = 34cm. Find the angle

    Answer: 60°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 23. If 4 of them are 28, 35, 31, 36, what is the missing number?

    Answer: -15

Wednesday 24 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 144. What are the numbers?

    Answer: 47, 48, and 49
  2. 2. Algebra

    Solve: x4 = 10

    Answer: x = 40
  3. 3. Geometry

    Adjacent = 28cm, hypotenuse = 39cm. Find the angle

    Answer: 44.1°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 24. If 3 of them are 46, 22, 15, what is the missing number?

    Answer: 13

Thursday 25 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 144. What are the numbers?

    Answer: 47, 48, and 49
  2. 2. Algebra

    Factorise fully: 12x² + 16x

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

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

    Answer: 49.6°
  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: 25

Friday 26 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 114. What are the numbers?

    Answer: 37, 38, and 39
  2. 2. Algebra

    Simplify: 9x - 2x + 6y - 2y

    Answer: 7x + 4y
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 34cm. Find the angle

    Answer: 45.1°
  4. 4. Ratio

    Calculate 43.1% of 719

    Answer: 309.89
  5. 5. Statistics

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

    Answer: 311