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Capstone Jan 1 - 7 25 questions
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Monday 2 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 90. What are the numbers?

    Answer: 29, 30, and 31
  2. 2. Algebra

    Simplify: 7x - 4x + 6y - y

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

    A right triangle has hypotenuse 13cm and one side 5cm. Find its area

    Answer: 30cm²
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 40. If 3 of them are 17, 41, 48, what is the missing number?

    Answer: 54

Tuesday 3 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 105. What are the numbers?

    Answer: 34, 35, and 36
  2. 2. Algebra

    Solve: x8 = 2

    Answer: x = 16
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 36cm. Find the angle

    Answer: 33.6°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 38

Wednesday 4 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 108. What are the numbers?

    Answer: 35, 36, and 37
  2. 2. Algebra

    Solve: x2 = 7.5

    Answer: x = 15
  3. 3. Geometry

    Adjacent = 20cm, hypotenuse = 29cm. Find the angle

    Answer: 46.4°
  4. 4. Ratio

    Calculate 13.9% of 930

    Answer: 129.27
  5. 5. Statistics

    A spinner has 6 red, 3 blue and 5 green sections. Probability of landing on red?

    Answer: 37

Thursday 5 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 114. What are the numbers?

    Answer: 37, 38, and 39
  2. 2. Algebra

    Factorise fully: 20x² + 35x

    Answer: 5x(4x + 7)
  3. 3. Geometry

    Adjacent = 15cm, hypotenuse = 27cm. Find the angle

    Answer: 56.3°
  4. 4. Ratio

    Calculate 25.1% of 250

    Answer: 62.75
  5. 5. Statistics

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

    Answer: 516

Friday 6 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 34 + 12 + 46

    Answer: 2312
  2. 2. Algebra

    Solve: x2 = 6

    Answer: x = 12
  3. 3. Geometry

    A right triangle has hypotenuse 10cm and one side 6cm. Find its area

    Answer: 24cm²
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 411