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Capstone Jan 1 - 7 25 questions
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Monday 22 May 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

    Find the next term: 1, 2, 4, 7, ...

    Answer: 11
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 33cm. Find the angle

    Answer: 45.8°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 3 red, 6 blue and 2 green sections. Probability of landing on red?

    Answer: 3⁄11

Tuesday 23 May 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⁄7 = 3.2857142857143

    Answer: x = 23
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 28cm. Find the angle

    Answer: 55.2°
  4. 4. Ratio

    Calculate 27.8% of 662

    Answer: 184.04
  5. 5. Statistics

    The mean of 5 numbers is 31. If 4 of them are 29, 34, 41, 45, what is the missing number?

    Answer: 6

Wednesday 24 May 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 99. What are the numbers?

    Answer: 32, 33, and 34
  2. 2. Algebra

    Find the next term: 1, 4, 10, 19, ...

    Answer: 31
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 24cm. Find the angle

    Answer: 37.7°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 35. If 3 of them are 26, 21, 31, what is the missing number?

    Answer: 62

Thursday 25 May 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2⁄5 + 1⁄2 + 1⁄4

    Answer: 23⁄20
  2. 2. Algebra

    Solve: x⁄3 = 13.333333333333

    Answer: x = 40
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 36cm. Find the angle

    Answer: 41.4°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 35. If 4 of them are 16, 25, 33, 30, what is the missing number?

    Answer: 71

Friday 26 May 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 99. What are the numbers?

    Answer: 32, 33, and 34
  2. 2. Algebra

    Factorise fully: 30x² + 25x

    Answer: 5x(6x + 5)
  3. 3. Geometry

    Adjacent = 12cm, hypotenuse = 18cm. Find the angle

    Answer: 48.2°
  4. 4. Ratio

    Calculate 45.6% of 813

    Answer: 370.73
  5. 5. Statistics

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

    Answer: 3⁄7