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Capstone Jan 1 - 7 25 questions
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Monday 29 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

    Simplify: 6x - 2x + 6y - 4y

    Answer: 4x + 2y
  3. 3. Geometry

    Adjacent = 20cm, hypotenuse = 39cm. Find the angle

    Answer: 59.1°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 20. If 3 of them are 17, 17, 26, what is the missing number?

    Answer: 20

Tuesday 30 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: x⁄2 = 16.5

    Answer: x = 33
  3. 3. Geometry

    Adjacent = 18cm, hypotenuse = 29cm. Find the angle

    Answer: 51.6°
  4. 4. Ratio

    Calculate 19% of 543

    Answer: 103.17
  5. 5. Statistics

    A spinner has 3 red, 2 blue and 4 green sections. Probability of landing on red?

    Answer: 1⁄3

Wednesday 31 August 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: x⁄7 = 1.7142857142857

    Answer: x = 12
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 31cm. Find the angle

    Answer: 52.2°
  4. 4. Ratio

    Calculate 35.5% of 279

    Answer: 99.05
  5. 5. Statistics

    The mean of 5 numbers is 20. If 4 of them are 45, 36, 19, 17, what is the missing number?

    Answer: -17

Thursday 1 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 996 + 612

    Answer: 1608
  2. 2. Algebra

    Solve: x⁄4 = 9

    Answer: x = 36
  3. 3. Geometry

    Adjacent = 21cm, hypotenuse = 33cm. Find the angle

    Answer: 50.5°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 40. If 5 of them are 45, 16, 44, 20, 16, what is the missing number?

    Answer: 99

Friday 2 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 4.57 + 19.7 + 0.588

    Answer: 4.57 + 19.7 + 0.588 = 24.858
  2. 2. Algebra

    Expand: 3(8x - 11)

    Answer: 24x - 33
  3. 3. Geometry

    Adjacent = 28cm, hypotenuse = 35cm. Find the angle

    Answer: 36.9°
  4. 4. Ratio

    Calculate 43.6% of 585

    Answer: 255.06
  5. 5. Statistics

    The mean of 5 numbers is 31. If 4 of them are 45, 33, 33, 30, what is the missing number?

    Answer: 14