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Capstone Jan 1 - 7 25 questions
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Monday 9 January 2023

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

    Find the next term: 1, 4, 10, 19, ...

    Answer: 31
  3. 3. Geometry

    Adjacent = 21cm, hypotenuse = 32cm. Find the angle

    Answer: 49°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 6 red, 3 blue and 4 green sections. Probability of landing on red?

    Answer: 6⁄13

Tuesday 10 January 2023

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: 12x² + 15x

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

    Adjacent = 18cm, hypotenuse = 26cm. Find the angle

    Answer: 46.2°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄11

Wednesday 11 January 2023

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

    Simplify: 36x²y³ ÷ 3xy²

    Answer: 12xy
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 38cm. Find the angle

    Answer: 46.8°
  4. 4. Ratio

    Calculate 25.1% of 541

    Answer: 135.79
  5. 5. Statistics

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

    Answer: 6⁄17

Thursday 12 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 1⁄4 + 1⁄2 + 5⁄6

    Answer: 19⁄12
  2. 2. Algebra

    Solve: x⁄5 = 7.8

    Answer: x = 39
  3. 3. Geometry

    Adjacent = 22cm, hypotenuse = 37cm. Find the angle

    Answer: 53.5°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 5 red, 4 blue and 3 green sections. Probability of landing on red?

    Answer: 5⁄12

Friday 13 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 99. What are the numbers?

    Answer: 32, 33, and 34
  2. 2. Algebra

    Solve: x⁄8 = 1.125

    Answer: x = 9
  3. 3. Geometry

    Adjacent = 12cm, hypotenuse = 30cm. Find the angle

    Answer: 66.4°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 3 red, 2 blue and 4 green sections. Probability of landing on red?

    Answer: 1⁄3