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Capstone Jan 1 - 7 25 questions
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Monday 12 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄4 + 1⁄5 + 1⁄3

    Answer: 47⁄60
  2. 2. Algebra

    Factorise fully: 35x² + 10x

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

    Adjacent = 17cm, hypotenuse = 27cm. Find the angle

    Answer: 51°
  4. 4. Ratio

    Calculate 47.1% of 290

    Answer: 136.59
  5. 5. Statistics

    A spinner has 4 red, 3 blue and 2 green sections. Probability of landing on red?

    Answer: 4⁄9

Tuesday 13 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2⁄6 + 1⁄3 + 1⁄2

    Answer: 7⁄6
  2. 2. Algebra

    Solve: x⁄5 = 2.2

    Answer: x = 11
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 34cm. Find the angle

    Answer: 40.1°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 33. If 3 of them are 29, 46, 35, what is the missing number?

    Answer: 22

Wednesday 14 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 120. What are the numbers?

    Answer: 39, 40, and 41
  2. 2. Algebra

    Expand: 5(5x - 12)

    Answer: 25x - 60
  3. 3. Geometry

    Adjacent = 21cm, hypotenuse = 28cm. Find the angle

    Answer: 41.4°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 27. If 4 of them are 20, 16, 36, 36, what is the missing number?

    Answer: 27

Thursday 15 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 138. What are the numbers?

    Answer: 45, 46, and 47
  2. 2. Algebra

    Find the next term: 1, 2, 4, 7, ...

    Answer: 11
  3. 3. Geometry

    Adjacent = 13cm, hypotenuse = 32cm. Find the angle

    Answer: 66°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 5⁄16

Friday 16 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: (-22) + (-27) + (-18)

    Answer: -67
  2. 2. Algebra

    Solve: x⁄8 = 2

    Answer: x = 16
  3. 3. Geometry

    Adjacent = 15cm, hypotenuse = 25cm. Find the angle

    Answer: 53.1°
  4. 4. Ratio

    Calculate 31.3% of 854

    Answer: 267.3
  5. 5. Statistics

    A spinner has 3 red, 5 blue and 2 green sections. Probability of landing on red?

    Answer: 3⁄10