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Capstone Jan 1 - 7 25 questions
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Monday 24 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 147. What are the numbers?

    Answer: 48, 49, and 50
  2. 2. Algebra

    Solve: x⁄4 = 8.25

    Answer: x = 33
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 39cm. Find the angle

    Answer: 48.2°
  4. 4. Ratio

    Calculate 36.4% of 213

    Answer: 77.53
  5. 5. Statistics

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

    Answer: 3⁄5

Tuesday 25 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 114. What are the numbers?

    Answer: 37, 38, and 39
  2. 2. Algebra

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

    Answer: 31
  3. 3. Geometry

    Adjacent = 18cm, hypotenuse = 36cm. Find the angle

    Answer: 60°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 32. If 4 of them are 41, 50, 48, 32, what is the missing number?

    Answer: -11

Wednesday 26 January 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

    Solve: x⁄7 = 4.8571428571429

    Answer: x = 34
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 38cm. Find the angle

    Answer: 37.9°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 4⁄13

Thursday 27 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 990 + 826

    Answer: 1816
  2. 2. Algebra

    Factorise fully: 20x² + 12x

    Answer: 4x(5x + 3)
  3. 3. Geometry

    Adjacent = 25cm, hypotenuse = 40cm. Find the angle

    Answer: 51.3°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄4

Friday 28 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 991 + 704

    Answer: 1695
  2. 2. Algebra

    Solve: x⁄8 = 3.375

    Answer: x = 27
  3. 3. Geometry

    Adjacent = 21cm, hypotenuse = 30cm. Find the angle

    Answer: 45.6°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄5