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Capstone Jan 1 - 7 25 questions
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Monday 7 February 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: x⁄8 = 3.25

    Answer: x = 26
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 32cm. Find the angle

    Answer: 53.6°
  4. 4. Ratio

    Calculate 36.6% of 447

    Answer: 163.6
  5. 5. Statistics

    The mean of 6 numbers is 27. If 5 of them are 45, 15, 41, 38, 35, what is the missing number?

    Answer: -12

Tuesday 8 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: y5 × y5 × y2

    Answer: y12
  2. 2. Algebra

    Solve: x⁄2 = 13

    Answer: x = 26
  3. 3. Geometry

    Adjacent = 14cm, hypotenuse = 29cm. Find the angle

    Answer: 61.1°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 5 red, 4 blue and 6 green sections. Probability of landing on red?

    Answer: 1⁄3

Wednesday 9 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 141. What are the numbers?

    Answer: 46, 47, and 48
  2. 2. Algebra

    Simplify: 10x - 5x + 9y - 3y

    Answer: 5x + 6y
  3. 3. Geometry

    Adjacent = 21cm, hypotenuse = 38cm. Find the angle

    Answer: 56.5°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 32. If 5 of them are 17, 47, 32, 48, 18, what is the missing number?

    Answer: 30

Thursday 10 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 992 + 825

    Answer: 1817
  2. 2. Algebra

    Simplify: 11x - 5x + 7y - 4y

    Answer: 6x + 3y
  3. 3. Geometry

    Adjacent = 15cm, hypotenuse = 35cm. Find the angle

    Answer: 64.6°
  4. 4. Ratio

    Calculate 31.8% of 730

    Answer: 232.14
  5. 5. Statistics

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

    Answer: 2⁄7

Friday 11 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 4⁄5 + 1⁄3 + 3⁄5

    Answer: 26⁄15
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 25cm. Find the angle

    Answer: 50.2°
  4. 4. Ratio

    Calculate 25.1% of 370

    Answer: 92.87
  5. 5. Statistics

    A spinner has 3 red, 4 blue and 6 green sections. Probability of landing on red?

    Answer: 3⁄13