Mathematiq'19 03 Qualifying Round

15 Questions | Total Attempts: 71

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Mathematiq

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Questions and Answers
  • 1. 
    On simplification, the expression 1- [1- {1- (1-1-1)}] gives:
    • A. 

      3

    • B. 

      0

    • C. 

      1

    • D. 

      2

  • 2. 
    Ten years ago A was half the age of B. If their present age ratio is 3:4, what will be the total of their present ages?
    • A. 

      20 Years

    • B. 

      8 Years

    • C. 

      30 Years

    • D. 

      35 Years

  • 3. 
    How many real roots does the quadratic equation x2 + 5x + 7 = 0 have?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

  • 4. 
    The product of two consecutive positive integers is 12 more than 12 times the sum of those two integers. What is the smaller of the two integers?
    • A. 

      23

    • B. 

      24

    • C. 

      25

    • D. 

      12

  • 5. 
    If x = 3 is the solution of the question 3x² + (k-1) x + 9 =0 then k has a value of:
    • A. 

      13

    • B. 

      -13

    • C. 

      -11

    • D. 

      11

  • 6. 
    The average of 7 consecutive numbers is 33. The largest of the 7 numbers is:
    • A. 

      28

    • B. 

      36

    • C. 

      33

    • D. 

      30

  • 7. 
    For a given quadratic function y = (x - 5)2 - 3, the coordinates of the vertex and the equation of the line of symmetry(LOS) are:
    • A. 

      Vertex: (-5, -3), equation of LOS: x = - 5

    • B. 

      Vertex: (5, -3), equation of LOS: y = - 5

    • C. 

      Vertex: (-5, 3), equation of LOS: x = 5

    • D. 

      Vertex: (5, -3), equation of LOS: x = 5

  • 8. 
    The average of the first five prime numbers is:
    • A. 

      4.5

    • B. 

      5.6

    • C. 

      7.5

    • D. 

      5

  • 9. 
    1/4 of a number subtracted from 1/3 of the number gives 12. What is the number?
    • A. 

      120

    • B. 

      63

    • C. 

      144

    • D. 

      72

  • 10. 
    Find 20% of 30% of 800kg
    • A. 

      35kg

    • B. 

      48kg

    • C. 

      16kg

    • D. 

      20kg

  • 11. 
    15% of the cost of a holiday was spent on airfares. If airfares cost £630, what was the total cost of the holiday?
    • A. 

      £ 3200

    • B. 

      £ 2400

    • C. 

      £ 4200

    • D. 

      £ 5000

  • 12. 
    There are 60 people in a room.  30% of them are wearing glasses.  3 people take their glasses off.  Find the percentage that are now wearing glasses.
    • A. 

      25%

    • B. 

      20%

    • C. 

      35%

    • D. 

      30%

  • 13. 
    Which one of the following mathematical statements is a quadratic inequality:
    • A. 

      2x2 + 4r – 1 = 0

    • B. 

      3t – 7 ≤ 2

    • C. 

      (s – 32) – 11 ≤ 0

    • D. 

      2x2 + 4r – 1 ≥ 5

  • 14. 
    Which of the following quadratic equations is depicted in the graph below:
    • A. 

      Y = -(x – 2) (x + 3)

    • B. 

      Y = (x + 2) (x - 3)

    • C. 

      Y = -(x + 2) (x – 3)

    • D. 

      Y = (x - 2) (x + 3)

  • 15. 
    What is the volume of the figure above, rounded off to the nearest m2?
    • A. 

      196m2

    • B. 

      197m2

    • C. 

      198 m2

    • D. 

      199m2

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