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Capstone Jan 1 - 7 25 questions
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Monday 18 July 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

    Factorise fully: 14x² + 8x

    Answer: 2x(7x + 4)
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 33cm. Find the angle

    Answer: 43.3°
  4. 4. Ratio

    Calculate 23.4% of 560

    Answer: 131.04
  5. 5. Statistics

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

    Answer: 15

Tuesday 19 July 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

    Simplify: 11x - 4x + 3y - y

    Answer: 7x + 2y
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 35cm. Find the angle

    Answer: 42°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 617

Wednesday 20 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 99. What are the numbers?

    Answer: 32, 33, and 34
  2. 2. Algebra

    Solve: x4 = 2.25

    Answer: x = 9
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 39cm. Find the angle

    Answer: 52°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 29. If 5 of them are 30, 45, 37, 37, 16, what is the missing number?

    Answer: 9

Thursday 21 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √8 + √18

    Answer: 2√2 + 3√2 = 5√2
  2. 2. Algebra

    Solve: x4 = 6

    Answer: x = 24
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 44cm. Find the angle

    Answer: 53.8°
  4. 4. Ratio

    Calculate 34.2% of 536

    Answer: 183.31
  5. 5. Statistics

    A spinner has 4 red, 5 blue and 3 green sections. Probability of landing on red?

    Answer: 13

Friday 22 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 99. What are the numbers?

    Answer: 32, 33, and 34
  2. 2. Algebra

    Expand: 3(7x - 11)

    Answer: 21x - 33
  3. 3. Geometry

    Adjacent = 22cm, hypotenuse = 40cm. Find the angle

    Answer: 56.6°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 617