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Capstone Jan 1 - 7 25 questions
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Monday 8 January 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √8 + √18

    Answer: 2√2 + 3√2 = 5√2
  2. 2. Algebra

    Solve: x⁄3 = 5.6666666666667

    Answer: x = 17
  3. 3. Geometry

    Adjacent = 27cm, hypotenuse = 43cm. Find the angle

    Answer: 51.1°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 2⁄11

Tuesday 9 January 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 111. What are the numbers?

    Answer: 36, 37, and 38
  2. 2. Algebra

    Simplify: 10x - 4x + 5y - 3y

    Answer: 6x + 2y
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 37cm. Find the angle

    Answer: 38.4°
  4. 4. Ratio

    Calculate 48.4% of 739

    Answer: 357.68
  5. 5. Statistics

    The mean of 5 numbers is 36. If 4 of them are 26, 37, 41, 21, what is the missing number?

    Answer: 55

Wednesday 10 January 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 108. What are the numbers?

    Answer: 35, 36, and 37
  2. 2. Algebra

    Solve: x⁄5 = 7.8

    Answer: x = 39
  3. 3. Geometry

    Adjacent = 26cm, hypotenuse = 44cm. Find the angle

    Answer: 53.8°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 27. If 5 of them are 35, 19, 21, 45, 40, what is the missing number?

    Answer: 2

Thursday 11 January 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 994 + 552

    Answer: 1546
  2. 2. Algebra

    Simplify: 9x - 7x + 6y - 2y

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

    Find c if a = 17cm and b = 25cm in a right triangle

    Answer: 30.2cm
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 3⁄11

Friday 12 January 2024

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

    Solve: x⁄6 = 4.1666666666667

    Answer: x = 25
  3. 3. Geometry

    Adjacent = 17cm, hypotenuse = 23cm. Find the angle

    Answer: 42.3°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 4⁄9