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Capstone Jan 1 - 7 25 questions
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Monday 29 January 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 3⁄5 + 4⁄6 + 2⁄5

    Answer: 5⁄3
  2. 2. Algebra

    Factorise fully: 9x² + 12x

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

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

    Answer: 51°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄4

Tuesday 30 January 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: y2 × y4 × y2

    Answer: y8
  2. 2. Algebra

    Solve: x⁄7 = 3.1428571428571

    Answer: x = 22
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 35cm. Find the angle

    Answer: 34°
  4. 4. Ratio

    Calculate 27.8% of 807

    Answer: 224.35
  5. 5. Statistics

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

    Answer: 1⁄5

Wednesday 31 January 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 4⁄5 + 1⁄3 + 4⁄6

    Answer: 9⁄5
  2. 2. Algebra

    Solve: x⁄3 = 8.6666666666667

    Answer: x = 26
  3. 3. Geometry

    Adjacent = 18cm, hypotenuse = 30cm. Find the angle

    Answer: 53.1°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 6 red, 3 blue and 2 green sections. Probability of landing on red?

    Answer: 6⁄11

Thursday 1 February 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 96. What are the numbers?

    Answer: 31, 32, and 33
  2. 2. Algebra

    Solve: x⁄6 = 6.6666666666667

    Answer: x = 40
  3. 3. Geometry

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

    Answer: 43°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 26. If 3 of them are 46, 42, 28, what is the missing number?

    Answer: -12

Friday 2 February 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 123. What are the numbers?

    Answer: 40, 41, and 42
  2. 2. Algebra

    Solve: x⁄4 = 10

    Answer: x = 40
  3. 3. Geometry

    Adjacent = 18cm, hypotenuse = 31cm. Find the angle

    Answer: 54.5°
  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 40, 47, 31, what is the missing number?

    Answer: -14