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Capstone Jan 1 - 7 25 questions
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Monday 27 February 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    0.00069

    Answer: 6.9 × 10^-4
  2. 2. Algebra

    Solve: x6 = 3.5

    Answer: x = 21
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 34cm. Find the angle

    Answer: 47.4°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 12

Tuesday 28 February 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

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Adjacent = 17cm, hypotenuse = 22cm. Find the angle

    Answer: 39.4°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 613

Wednesday 1 March 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 126. What are the numbers?

    Answer: 41, 42, and 43
  2. 2. Algebra

    Solve: x2 = 4

    Answer: x = 8
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 35cm. Find the angle

    Answer: 42°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 31. If 4 of them are 23, 45, 39, 24, what is the missing number?

    Answer: 24

Thursday 2 March 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 994 + 752

    Answer: 1746
  2. 2. Algebra

    Expand: 2(8x - 12)

    Answer: 16x - 24
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 39cm. Find the angle

    Answer: 39.7°
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 13

Friday 3 March 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 12 + 36 + 24

    Answer: 32
  2. 2. Algebra

    Factorise fully: 20x² + 15x

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

    Adjacent = 17cm, hypotenuse = 30cm. Find the angle

    Answer: 55.5°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 25. If 5 of them are 25, 22, 46, 41, 45, what is the missing number?

    Answer: -29