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Capstone Jan 1 - 7 25 questions
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Monday 31 July 2023

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

    Find the next term: 1, 3, 7, 13, ...

    Answer: 21
  3. 3. Geometry

    Find the distance between (-8, -4) and (5, 8)

    Answer: 17.69
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 38. If 3 of them are 28, 38, 43, what is the missing number?

    Answer: 43

Tuesday 1 August 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 126. What are the numbers?

    Answer: 41, 42, and 43
  2. 2. Algebra

    Solve: x⁄3 = 9

    Answer: x = 27
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 43cm. Find the angle

    Answer: 51.1°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 5⁄13

Wednesday 2 August 2023

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

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Adjacent = 17cm, hypotenuse = 29cm. Find the angle

    Answer: 54.1°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 34. If 5 of them are 28, 32, 50, 46, 28, what is the missing number?

    Answer: 20

Thursday 3 August 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄4 + 1⁄2 + 1⁄6

    Answer: 11⁄12
  2. 2. Algebra

    Solve: x⁄3 = 7.3333333333333

    Answer: x = 22
  3. 3. Geometry

    Find the distance between (-1, -5) and (12, 10)

    Answer: 19.85
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 5⁄17

Friday 4 August 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 138. What are the numbers?

    Answer: 45, 46, and 47
  2. 2. Algebra

    Solve: x⁄5 = 2.4

    Answer: x = 12
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 43cm. Find the angle

    Answer: 52.8°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 37. If 3 of them are 46, 19, 25, what is the missing number?

    Answer: 58