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Capstone Jan 1 - 7 25 questions
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Monday 30 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 117. What are the numbers?

    Answer: 38, 39, and 40
  2. 2. Algebra

    Solve: x5 = 7

    Answer: x = 35
  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 2 red, 5 blue and 4 green sections. Probability of landing on red?

    Answer: 211

Tuesday 31 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 141. What are the numbers?

    Answer: 46, 47, and 48
  2. 2. Algebra

    Simplify: 5x - 2x + 7y - 2y

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

    Adjacent = 28cm, hypotenuse = 34cm. Find the angle

    Answer: 34.6°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 2 red, 6 blue and 5 green sections. Probability of landing on red?

    Answer: 213

Wednesday 1 February 2023

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

    Find the next term: 1, 2, 4, 7, ...

    Answer: 11
  3. 3. Geometry

    Adjacent = 13cm, hypotenuse = 30cm. Find the angle

    Answer: 64.3°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 12

Thursday 2 February 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 36 + 34 + 12

    Answer: 74
  2. 2. Algebra

    Find the next term: 1, 2, 4, 7, ...

    Answer: 11
  3. 3. Geometry

    A right triangle has hypotenuse 17cm and one side 8cm. Find its area

    Answer: 60cm²
  4. 4. Ratio

    Calculate 30.5% of 936

    Answer: 285.48
  5. 5. Statistics

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

    Answer: 37

Friday 3 February 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.002

    Answer: 2 × 10^-3
  2. 2. Algebra

    Factorise fully: 9x² + 21x

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

    Adjacent = 21cm, hypotenuse = 27cm. Find the angle

    Answer: 38.9°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 21. If 3 of them are 47, 25, 31, what is the missing number?

    Answer: -19