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Capstone Jan 1 - 7 25 questions
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Monday 20 September 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

    Simplify: 12x - 10x + 5y - 2y

    Answer: 2x + 3y
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 28cm. Find the angle

    Answer: 47.3°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 29. If 5 of them are 39, 40, 19, 23, 45, what is the missing number?

    Answer: 8

Tuesday 21 September 2021

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: x7 = 5.1428571428571

    Answer: x = 36
  3. 3. Geometry

    Adjacent = 20cm, hypotenuse = 31cm. Find the angle

    Answer: 49.8°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 3 red, 4 blue and 6 green sections. Probability of landing on red?

    Answer: 313

Wednesday 22 September 2021

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 + 8x

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

    Adjacent = 29cm, hypotenuse = 39cm. Find the angle

    Answer: 42°
  4. 4. Ratio

    Calculate 14% of 674

    Answer: 94.36
  5. 5. Statistics

    A spinner has 6 red, 4 blue and 2 green sections. Probability of landing on red?

    Answer: 12

Thursday 23 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 96. What are the numbers?

    Answer: 31, 32, and 33
  2. 2. Algebra

    Find the next term: 1, 3, 7, 13, ...

    Answer: 21
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 35cm. Find the angle

    Answer: 39.5°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 24. If 3 of them are 26, 33, 23, what is the missing number?

    Answer: 14

Friday 24 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Three lengths are 4.65m, 4.73m and 4.15m. What is their total length?

    Answer: 13.53m
  2. 2. Algebra

    Expand: 8(5x - 10)

    Answer: 40x - 80
  3. 3. Geometry

    Adjacent = 25cm, hypotenuse = 38cm. Find the angle

    Answer: 48.9°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 511