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Capstone Jan 1 - 7 25 questions
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Monday 26 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄5 + 1⁄2 + 2⁄3

    Answer: 41⁄30
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 34cm. Find the angle

    Answer: 61.9°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄10

Tuesday 27 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 997 + 670

    Answer: 1667
  2. 2. Algebra

    Solve: x⁄8 = 0.875

    Answer: x = 7
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 45cm. Find the angle

    Answer: 48.2°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 26. If 5 of them are 42, 22, 16, 43, 43, what is the missing number?

    Answer: -10

Wednesday 28 September 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: 12x² + 8x

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

    Adjacent = 14cm, hypotenuse = 24cm. Find the angle

    Answer: 54.3°
  4. 4. Ratio

    Calculate 28.9% of 716

    Answer: 206.92
  5. 5. Statistics

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

    Answer: 5⁄13

Thursday 29 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 5.56 + 34.5 + 0.12

    Answer: 5.56 + 34.5 + 0.12 = 40.18
  2. 2. Algebra

    Solve: x⁄2 = 19.5

    Answer: x = 39
  3. 3. Geometry

    Adjacent = 17cm, hypotenuse = 35cm. Find the angle

    Answer: 60.9°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 27. If 3 of them are 27, 22, 37, what is the missing number?

    Answer: 22

Friday 30 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 2⁄5 + 3⁄5 + 2⁄5

    Answer: 7⁄5
  2. 2. Algebra

    Solve: x⁄7 = 2.7142857142857

    Answer: x = 19
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 43cm. Find the angle

    Answer: 45.8°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 32. If 5 of them are 28, 32, 34, 28, 19, what is the missing number?

    Answer: 51