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Capstone Jan 1 - 7 25 questions
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Monday 11 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 138. What are the numbers?

    Answer: 45, 46, and 47
  2. 2. Algebra

    Simplify: 10x - 6x + 7y - 5y

    Answer: 4x + 2y
  3. 3. Geometry

    Adjacent = 17cm, hypotenuse = 36cm. Find the angle

    Answer: 61.8°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    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 12 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 990 + 739

    Answer: 1729
  2. 2. Algebra

    Solve: x⁄8 = 1.5

    Answer: x = 12
  3. 3. Geometry

    Adjacent = 13cm, hypotenuse = 19cm. Find the angle

    Answer: 46.8°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 2⁄9

Wednesday 13 December 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

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

    Answer: 31
  3. 3. Geometry

    Adjacent = 14cm, hypotenuse = 26cm. Find the angle

    Answer: 57.4°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 32. If 5 of them are 29, 36, 18, 15, 44, what is the missing number?

    Answer: 50

Thursday 14 December 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: x⁄2 = 17.5

    Answer: x = 35
  3. 3. Geometry

    Adjacent = 12cm, hypotenuse = 22cm. Find the angle

    Answer: 56.9°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 40. If 3 of them are 20, 19, 46, what is the missing number?

    Answer: 75

Friday 15 December 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 997 + 747

    Answer: 1744
  2. 2. Algebra

    Factorise fully: 6x² + 21x

    Answer: 3x(2x + 7)
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 35cm. Find the angle

    Answer: 57.1°
  4. 4. Ratio

    Calculate 15.4% of 946

    Answer: 145.68
  5. 5. Statistics

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

    Answer: 3⁄7