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Capstone Jan 1 - 7 25 questions
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Monday 21 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 108. What are the numbers?

    Answer: 35, 36, and 37
  2. 2. Algebra

    Solve: x⁄7 = 3.1428571428571

    Answer: x = 22
  3. 3. Geometry

    A right triangle has hypotenuse 13cm and one side 5cm. Find its area

    Answer: 30cm²
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄7

Tuesday 22 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 105. What are the numbers?

    Answer: 34, 35, and 36
  2. 2. Algebra

    Solve: x⁄4 = 3.5

    Answer: x = 14
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 39cm. Find the angle

    Answer: 53.9°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 23. If 5 of them are 48, 16, 45, 37, 48, what is the missing number?

    Answer: -56

Wednesday 23 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 135. What are the numbers?

    Answer: 44, 45, and 46
  2. 2. Algebra

    Solve: x⁄7 = 3.1428571428571

    Answer: x = 22
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 34cm. Find the angle

    Answer: 47.4°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 29. If 3 of them are 22, 17, 26, what is the missing number?

    Answer: 51

Thursday 24 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2⁄3 + 1⁄3 + 1⁄4

    Answer: 5⁄4
  2. 2. Algebra

    Solve: x⁄8 = 4.75

    Answer: x = 38
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 34cm. Find the angle

    Answer: 37.4°
  4. 4. Ratio

    Calculate 34.5% of 337

    Answer: 116.27
  5. 5. Statistics

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

    Answer: 1⁄4

Friday 25 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: y4 × y2 × y4

    Answer: y10
  2. 2. Algebra

    Solve: x⁄5 = 2

    Answer: x = 10
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 42cm. Find the angle

    Answer: 55.2°
  4. 4. Ratio

    Calculate 16.6% of 965

    Answer: 160.19
  5. 5. Statistics

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

    Answer: 2⁄9