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Capstone Jan 1 - 7 25 questions
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Monday 17 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: y2 × y2 × y4

    Answer: y8
  2. 2. Algebra

    Factorise fully: 20x² + 8x

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

    Adjacent = 30cm, hypotenuse = 41cm. Find the angle

    Answer: 43°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 37. If 3 of them are 38, 16, 28, what is the missing number?

    Answer: 66

Tuesday 18 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 995 + 876

    Answer: 1871
  2. 2. Algebra

    Solve: x⁄2 = 8.5

    Answer: x = 17
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 41cm. Find the angle

    Answer: 55.9°
  4. 4. Ratio

    Calculate 22.8% of 412

    Answer: 93.94
  5. 5. Statistics

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

    Answer: 1⁄4

Wednesday 19 January 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: 4x² + 14x

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

    Adjacent = 17cm, hypotenuse = 26cm. Find the angle

    Answer: 49.2°
  4. 4. Ratio

    Calculate 43.2% of 917

    Answer: 396.14
  5. 5. Statistics

    The mean of 4 numbers is 27. If 3 of them are 22, 15, 29, what is the missing number?

    Answer: 42

Thursday 20 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄6 + 1⁄5 + 2⁄6

    Answer: 7⁄10
  2. 2. Algebra

    Solve: x⁄8 = 1.625

    Answer: x = 13
  3. 3. Geometry

    Find c if a = 15cm and b = 25cm in a right triangle

    Answer: 29.2cm
  4. 4. Ratio

    Calculate 24.4% of 688

    Answer: 167.87
  5. 5. Statistics

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

    Answer: 1⁄4

Friday 21 January 2022

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

    Simplify: 9x - 4x + 8y - 3y

    Answer: 5x + 5y
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 39cm. Find the angle

    Answer: 53.9°
  4. 4. Ratio

    Calculate 27.2% of 447

    Answer: 121.58
  5. 5. Statistics

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

    Answer: 5⁄13