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Capstone Jan 1 - 7 25 questions
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Monday 25 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 150. What are the numbers?

    Answer: 49, 50, and 51
  2. 2. Algebra

    Simplify: 9x - 7x + 5y - 4y

    Answer: 2x + y
  3. 3. Geometry

    Adjacent = 12cm, hypotenuse = 21cm. Find the angle

    Answer: 55.2°
  4. 4. Ratio

    Calculate 45.9% of 409

    Answer: 187.73
  5. 5. Statistics

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

    Answer: 1⁄3

Tuesday 26 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 135. What are the numbers?

    Answer: 44, 45, and 46
  2. 2. Algebra

    Factorise fully: 6x² + 9x

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

    A right triangle has hypotenuse 5cm and one side 3cm. Find its area

    Answer: 6cm²
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄3

Wednesday 27 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 3⁄5 + 5⁄6 + 2⁄6

    Answer: 53⁄30
  2. 2. Algebra

    Factorise fully: 10x² + 35x

    Answer: 5x(2x + 7)
  3. 3. Geometry

    Find the distance between (1, -1) and (5, 11)

    Answer: 12.65
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 35. If 4 of them are 25, 38, 26, 17, what is the missing number?

    Answer: 69

Thursday 28 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄4 + 2⁄4 + 1⁄3

    Answer: 13⁄12
  2. 2. Algebra

    Solve: x⁄4 = 4.5

    Answer: x = 18
  3. 3. Geometry

    Find the distance between (0, 2) and (7, 11)

    Answer: 11.4
  4. 4. Ratio

    Calculate 39% of 996

    Answer: 388.44
  5. 5. Statistics

    The mean of 4 numbers is 22. If 3 of them are 20, 46, 26, what is the missing number?

    Answer: -4

Friday 29 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 999 + 704

    Answer: 1703
  2. 2. Algebra

    Solve: x⁄2 = 6

    Answer: x = 12
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 34cm. Find the angle

    Answer: 56°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 5⁄13