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Capstone Jan 1 - 7 25 questions
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Monday 16 December 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 147. What are the numbers?

    Answer: 48, 49, and 50
  2. 2. Algebra

    Solve: x5 = 5.6

    Answer: x = 28
  3. 3. Geometry

    Adjacent = 15cm, hypotenuse = 24cm. Find the angle

    Answer: 51.3°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 32. If 3 of them are 43, 31, 43, what is the missing number?

    Answer: 11

Tuesday 17 December 2024

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

    Factorise fully: 25x² + 20x

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

    Adjacent = 19cm, hypotenuse = 32cm. Find the angle

    Answer: 53.6°
  4. 4. Ratio

    Calculate 44.5% of 628

    Answer: 279.46
  5. 5. Statistics

    The mean of 5 numbers is 28. If 4 of them are 20, 19, 48, 18, what is the missing number?

    Answer: 35

Wednesday 18 December 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Calculate: 993 + 778

    Answer: 1771
  2. 2. Algebra

    Solve: x7 = 4.8571428571429

    Answer: x = 34
  3. 3. Geometry

    A right triangle has hypotenuse 5cm and one side 3cm. Find its area

    Answer: 6cm²
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

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

    Answer: 13

Thursday 19 December 2024

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

    Solve: x7 = 5.1428571428571

    Answer: x = 36
  3. 3. Geometry

    Find c if a = 19cm and b = 10cm in a right triangle

    Answer: 21.5cm
  4. 4. Ratio

    Simplify the ratio 2m:200cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 33. If 4 of them are 50, 47, 45, 15, what is the missing number?

    Answer: 8

Friday 20 December 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    The sum of three consecutive numbers is 150. What are the numbers?

    Answer: 49, 50, and 51
  2. 2. Algebra

    Solve: x5 = 6.8

    Answer: x = 34
  3. 3. Geometry

    Adjacent = 12cm, hypotenuse = 20cm. Find the angle

    Answer: 53.1°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 23. If 5 of them are 30, 25, 48, 47, 41, what is the missing number?

    Answer: -53