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Capstone Jan 1 - 7 25 questions
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Monday 21 March 2022

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: x8 = 4.625

    Answer: x = 37
  3. 3. Geometry

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

    Answer: 46.8°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 413

Tuesday 22 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 990 + 611

    Answer: 1601
  2. 2. Algebra

    Factorise fully: 20x² + 25x

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

    A right triangle has hypotenuse 17cm and one side 8cm. Find its area

    Answer: 60cm²
  4. 4. Ratio

    Calculate 48.7% of 870

    Answer: 423.69
  5. 5. Statistics

    The mean of 6 numbers is 31. If 5 of them are 16, 23, 17, 33, 45, what is the missing number?

    Answer: 52

Wednesday 23 March 2022

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

    Simplify: 8x - 6x + 7y - 3y

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

    Adjacent = 16cm, hypotenuse = 21cm. Find the angle

    Answer: 40.4°
  4. 4. Ratio

    Calculate 22.3% of 579

    Answer: 129.12
  5. 5. Statistics

    The mean of 5 numbers is 30. If 4 of them are 47, 50, 25, 50, what is the missing number?

    Answer: -22

Thursday 24 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 93. What are the numbers?

    Answer: 30, 31, and 32
  2. 2. Algebra

    Find the next term: 1, 2, 4, 7, ...

    Answer: 11
  3. 3. Geometry

    A right triangle has hypotenuse 17cm and one side 8cm. Find its area

    Answer: 60cm²
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 35

Friday 25 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 994 + 542

    Answer: 1536
  2. 2. Algebra

    Solve: x3 = 13

    Answer: x = 39
  3. 3. Geometry

    Adjacent = 20cm, hypotenuse = 36cm. Find the angle

    Answer: 56.3°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 37. If 3 of them are 30, 39, 48, what is the missing number?

    Answer: 31