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Capstone Jan 1 - 7 25 questions
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Monday 27 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: y2 × y3 × y5

    Answer: y10
  2. 2. Algebra

    Solve: x4 = 1.5

    Answer: x = 6
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 35cm. Find the angle

    Answer: 34°
  4. 4. Ratio

    Calculate 16.4% of 863

    Answer: 141.53
  5. 5. Statistics

    A spinner has 3 red, 4 blue and 5 green sections. Probability of landing on red?

    Answer: 14

Tuesday 28 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 993 + 848

    Answer: 1841
  2. 2. Algebra

    Solve: x5 = 6.4

    Answer: x = 32
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 48cm. Find the angle

    Answer: 52.8°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 38. If 4 of them are 18, 43, 30, 48, what is the missing number?

    Answer: 51

Wednesday 29 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 111. What are the numbers?

    Answer: 36, 37, and 38
  2. 2. Algebra

    Factorise fully: 35x² + 15x

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

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

    Answer: 55.2°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 26. If 4 of them are 43, 34, 40, 35, what is the missing number?

    Answer: -22

Thursday 30 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 132. What are the numbers?

    Answer: 43, 44, and 45
  2. 2. Algebra

    Expand: 2(3x - 6)

    Answer: 6x - 12
  3. 3. Geometry

    Adjacent = 21cm, hypotenuse = 34cm. Find the angle

    Answer: 51.9°
  4. 4. Ratio

    Calculate 47.8% of 959

    Answer: 458.4
  5. 5. Statistics

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

    Answer: 37

Friday 31 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 126. What are the numbers?

    Answer: 41, 42, and 43
  2. 2. Algebra

    Solve: x8 = 3.5

    Answer: x = 28
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 29cm. Find the angle

    Answer: 34.1°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 31. If 3 of them are 35, 22, 28, what is the missing number?

    Answer: 39