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Capstone Jan 1 - 7 25 questions
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Monday 25 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 90. What are the numbers?

    Answer: 29, 30, and 31
  2. 2. Algebra

    Solve: x⁄7 = 3.4285714285714

    Answer: x = 24
  3. 3. Geometry

    Adjacent = 15cm, hypotenuse = 30cm. Find the angle

    Answer: 60°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 5⁄14

Tuesday 26 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 111. What are the numbers?

    Answer: 36, 37, and 38
  2. 2. Algebra

    Simplify: 5x - 2x + 9y - 3y

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

    Find the distance between (-7, 2) and (3, 12)

    Answer: 14.14
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 24. If 5 of them are 44, 22, 31, 20, 26, what is the missing number?

    Answer: 1

Wednesday 27 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 990 + 684

    Answer: 1674
  2. 2. Algebra

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

    Answer: 21
  3. 3. Geometry

    Find the distance between (2, 0) and (11, 4)

    Answer: 9.85
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 6 red, 2 blue and 4 green sections. Probability of landing on red?

    Answer: 1⁄2

Thursday 28 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.00037

    Answer: 3.7 × 10^-4
  2. 2. Algebra

    Solve: x⁄6 = 3.1666666666667

    Answer: x = 19
  3. 3. Geometry

    Adjacent = 17cm, hypotenuse = 23cm. Find the angle

    Answer: 42.3°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄8

Friday 29 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 90. What are the numbers?

    Answer: 29, 30, and 31
  2. 2. Algebra

    Solve: x⁄4 = 4.25

    Answer: x = 17
  3. 3. Geometry

    Adjacent = 13cm, hypotenuse = 24cm. Find the angle

    Answer: 57.2°
  4. 4. Ratio

    Calculate 27.8% of 378

    Answer: 105.08
  5. 5. Statistics

    The mean of 5 numbers is 38. If 4 of them are 22, 15, 17, 36, what is the missing number?

    Answer: 100