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Capstone Jan 1 - 7 25 questions
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Monday 19 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 144. What are the numbers?

    Answer: 47, 48, and 49
  2. 2. Algebra

    Solve: x⁄6 = 1.3333333333333

    Answer: x = 8
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 41cm. Find the angle

    Answer: 45°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄7

Tuesday 20 April 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

    Factorise fully: 15x² + 18x

    Answer: 3x(5x + 6)
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 41cm. Find the angle

    Answer: 45°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 26. If 3 of them are 43, 49, 43, what is the missing number?

    Answer: -31

Wednesday 21 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄2 + 3⁄4 + 1⁄4

    Answer: 3⁄2
  2. 2. Algebra

    Factorise fully: 9x² + 15x

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

    Adjacent = 14cm, hypotenuse = 29cm. Find the angle

    Answer: 61.1°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 40. If 4 of them are 23, 23, 50, 37, what is the missing number?

    Answer: 67

Thursday 22 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.0044

    Answer: 4.4 × 10^-3
  2. 2. Algebra

    Simplify: 7x - 5x + 4y - 3y

    Answer: 2x + y
  3. 3. Geometry

    Find c if a = 13cm and b = 22cm in a right triangle

    Answer: 25.6cm
  4. 4. Ratio

    Calculate 17.5% of 659

    Answer: 115.33
  5. 5. Statistics

    A spinner has 2 red, 5 blue and 4 green sections. Probability of landing on red?

    Answer: 2⁄11

Friday 23 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄2 + 1⁄4 + 2⁄4

    Answer: 5⁄4
  2. 2. Algebra

    Solve: x⁄7 = 3.8571428571429

    Answer: x = 27
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 24cm. Find the angle

    Answer: 48.2°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄10