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Capstone Jan 1 - 7 25 questions
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Monday 11 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 90. What are the numbers?

    Answer: 29, 30, and 31
  2. 2. Algebra

    Find the next term: 1, 3, 7, 13, ...

    Answer: 21
  3. 3. Geometry

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

    Answer: 30cm²
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 29. If 4 of them are 25, 48, 42, 43, what is the missing number?

    Answer: -13

Tuesday 12 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 991 + 869

    Answer: 1860
  2. 2. Algebra

    Simplify: 10x - 6x + 9y - 6y

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

    Adjacent = 29cm, hypotenuse = 46cm. Find the angle

    Answer: 50.9°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 28. If 5 of them are 24, 36, 48, 18, 38, what is the missing number?

    Answer: 4

Wednesday 13 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 105. What are the numbers?

    Answer: 34, 35, and 36
  2. 2. Algebra

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

    Answer: 31
  3. 3. Geometry

    Adjacent = 24cm, hypotenuse = 35cm. Find the angle

    Answer: 46.7°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 1⁄2

Thursday 14 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: y4 × y4 × y3

    Answer: y11
  2. 2. Algebra

    Simplify: 12x - 2x + 6y - y

    Answer: 10x + 5y
  3. 3. Geometry

    Find the distance between (-1, -2) and (5, 11)

    Answer: 14.32
  4. 4. Ratio

    Calculate 17% of 388

    Answer: 65.96
  5. 5. Statistics

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

    Answer: 1⁄6

Friday 15 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 996 + 843

    Answer: 1839
  2. 2. Algebra

    Solve: x⁄5 = 2

    Answer: x = 10
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 34cm. Find the angle

    Answer: 40.1°
  4. 4. Ratio

    Calculate 48.3% of 735

    Answer: 355.01
  5. 5. Statistics

    The mean of 6 numbers is 21. If 5 of them are 17, 33, 35, 38, 29, what is the missing number?

    Answer: -26