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Capstone Jan 1 - 7 25 questions
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Monday 3 October 2022

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

    Factorise fully: 12x² + 14x

    Answer: 2x(6x + 7)
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 29cm. Find the angle

    Answer: 37.5°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 2⁄11

Tuesday 4 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Find the missing number: 8.46 + □ = 14.39

    Answer: □ = 5.93
  2. 2. Algebra

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

    Answer: 31
  3. 3. Geometry

    Adjacent = 28cm, hypotenuse = 46cm. Find the angle

    Answer: 52.5°
  4. 4. Ratio

    Calculate 41.6% of 696

    Answer: 289.54
  5. 5. Statistics

    The mean of 5 numbers is 35. If 4 of them are 29, 35, 27, 38, what is the missing number?

    Answer: 46

Wednesday 5 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2⁄4 + 1⁄2 + 1⁄2

    Answer: 3⁄2
  2. 2. Algebra

    Solve: x⁄5 = 7.2

    Answer: x = 36
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 35cm. Find the angle

    Answer: 46.7°
  4. 4. Ratio

    Calculate 47.8% of 209

    Answer: 99.9
  5. 5. Statistics

    The mean of 5 numbers is 34. If 4 of them are 48, 33, 20, 32, what is the missing number?

    Answer: 37

Thursday 6 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 4.62 + 21.42 + 0.481

    Answer: 4.62 + 21.42 + 0.481 = 26.521
  2. 2. Algebra

    Solve: x⁄3 = 7.6666666666667

    Answer: x = 23
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 30cm. Find the angle

    Answer: 57.8°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 5 red, 3 blue and 6 green sections. Probability of landing on red?

    Answer: 5⁄14

Friday 7 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 129. What are the numbers?

    Answer: 42, 43, and 44
  2. 2. Algebra

    Solve: x⁄4 = 4.25

    Answer: x = 17
  3. 3. Geometry

    Adjacent = 20cm, hypotenuse = 25cm. Find the angle

    Answer: 36.9°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 34. If 4 of them are 23, 26, 29, 19, what is the missing number?

    Answer: 73