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Capstone Jan 1 - 7 25 questions
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Monday 13 February 2023

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

    Solve: x7 = 3.8571428571429

    Answer: x = 27
  3. 3. Geometry

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

    Answer: 57.8°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 37. If 5 of them are 18, 50, 44, 16, 31, what is the missing number?

    Answer: 63

Tuesday 14 February 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: 20x² + 24x

    Answer: 4x(5x + 6)
  3. 3. Geometry

    Adjacent = 12cm, hypotenuse = 23cm. Find the angle

    Answer: 58.6°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 22. If 5 of them are 31, 15, 25, 32, 40, what is the missing number?

    Answer: -11

Wednesday 15 February 2023

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: 11x - 10x + 6y - 3y

    Answer: x + 3y
  3. 3. Geometry

    Find c if a = 8cm and b = 22cm in a right triangle

    Answer: 23.4cm
  4. 4. Ratio

    Calculate 45.4% of 527

    Answer: 239.26
  5. 5. Statistics

    The mean of 5 numbers is 22. If 4 of them are 39, 47, 22, 19, what is the missing number?

    Answer: -17

Thursday 16 February 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √8 + √18

    Answer: 2√2 + 3√2 = 5√2
  2. 2. Algebra

    Factorise fully: 8x² + 10x

    Answer: 2x(4x + 5)
  3. 3. Geometry

    Adjacent = 25cm, hypotenuse = 30cm. Find the angle

    Answer: 33.6°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 37. If 3 of them are 35, 30, 28, what is the missing number?

    Answer: 55

Friday 17 February 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, 4, 10, 19, ...

    Answer: 31
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 38cm. Find the angle

    Answer: 60°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 411