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Capstone Jan 1 - 7 25 questions
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Monday 18 December 2023

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

    Factorise fully: 14x² + 6x

    Answer: 2x(7x + 3)
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 39cm. Find the angle

    Answer: 46.2°
  4. 4. Ratio

    Calculate 12.9% of 528

    Answer: 68.11
  5. 5. Statistics

    The mean of 5 numbers is 22. If 4 of them are 37, 42, 42, 16, what is the missing number?

    Answer: -27

Tuesday 19 December 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

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

    Answer: 21
  3. 3. Geometry

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

    Answer: 56.5°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 513

Wednesday 20 December 2023

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

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

    Answer: 31
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 44cm. Find the angle

    Answer: 56.9°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 13

Thursday 21 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 102. What are the numbers?

    Answer: 33, 34, and 35
  2. 2. Algebra

    Solve: x2 = 8.5

    Answer: x = 17
  3. 3. Geometry

    Adjacent = 18cm, hypotenuse = 31cm. Find the angle

    Answer: 54.5°
  4. 4. Ratio

    Calculate 30.8% of 519

    Answer: 159.85
  5. 5. Statistics

    A spinner has 2 red, 6 blue and 5 green sections. Probability of landing on red?

    Answer: 213

Friday 22 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 93. What are the numbers?

    Answer: 30, 31, and 32
  2. 2. Algebra

    Solve: x8 = 1

    Answer: x = 8
  3. 3. Geometry

    Find the distance between (-1, 0) and (3, 12)

    Answer: 12.65
  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 25, 35, 36, 38, 46, what is the missing number?

    Answer: -42