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Capstone Jan 1 - 7 25 questions
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Monday 5 August 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

    Factorise fully: 4x² + 10x

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

    Adjacent = 25cm, hypotenuse = 43cm. Find the angle

    Answer: 54.5°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 24. If 3 of them are 28, 50, 25, what is the missing number?

    Answer: -7

Tuesday 6 August 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 111. What are the numbers?

    Answer: 36, 37, and 38
  2. 2. Algebra

    Solve: x8 = 2.375

    Answer: x = 19
  3. 3. Geometry

    Adjacent = 12cm, hypotenuse = 18cm. Find the angle

    Answer: 48.2°
  4. 4. Ratio

    Calculate 44.5% of 817

    Answer: 363.57
  5. 5. Statistics

    A spinner has 6 red, 4 blue and 2 green sections. Probability of landing on red?

    Answer: 12

Wednesday 7 August 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 132. What are the numbers?

    Answer: 43, 44, and 45
  2. 2. Algebra

    Solve: x5 = 8

    Answer: x = 40
  3. 3. Geometry

    Adjacent = 13cm, hypotenuse = 25cm. Find the angle

    Answer: 58.7°
  4. 4. Ratio

    Calculate 24.3% of 778

    Answer: 189.05
  5. 5. Statistics

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

    Answer: 411

Thursday 8 August 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 997 + 844

    Answer: 1841
  2. 2. Algebra

    Solve: x2 = 11.5

    Answer: x = 23
  3. 3. Geometry

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

    Answer: 30cm²
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 20. If 5 of them are 35, 48, 44, 49, 40, what is the missing number?

    Answer: -96

Friday 9 August 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 102. What are the numbers?

    Answer: 33, 34, and 35
  2. 2. Algebra

    Solve: x6 = 5.3333333333333

    Answer: x = 32
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 48cm. Find the angle

    Answer: 52.8°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 37. If 5 of them are 28, 18, 15, 50, 41, what is the missing number?

    Answer: 70