Mathematiq'19 O2 Qualifying Round

15 Questions | Total Attempts: 112

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Mathematiq


Questions and Answers
  • 1. 
    Carla cuts a sheet of paper into 10 pieces. Then she took one piece and cut it again into 10 pieces. She then repeated this three more times. How many pieces of paper did she have after the last cutting?
    • A. 

      40

    • B. 

      46

    • C. 

      50

    • D. 

      56

  • 2. 
    In 2013, the population of New York City was 8.40 million, and the population of Los Angeles was 3.88 million. What was the percentage difference?
    • A. 

      6.14%

    • B. 

      53.8%

    • C. 

      63.2%

    • D. 

      73.6%

  • 3. 
    WX and YZ are parallel lines and SV is a transversal. The size of angle WTU is (3x + 65)° and the size of angle YUT is (x + 15)° What is the value of x?
    • A. 

      35

    • B. 

      30

    • C. 

      45

    • D. 

      25

  • 4. 
    Nate, Nick and Norm all contributed towards a charity, giving in the ratio 3 : 8 : 10 Altogether, they contributed $42,000 How much did Nick contribute?
    • A. 

      $6000

    • B. 

      $14000

    • C. 

      $16000

    • D. 

      $20000

  • 5. 
    A boat has a speed of 36 km/h. What is its speed in m/s?
    • A. 

      10 m/s

    • B. 

      12.96 m/s

    • C. 

      100 m/s

    • D. 

      129.6 m/s

  • 6. 
    Factor completely: 15y2 − 35xy
    • A. 

       5y(3y − 7x)

    • B. 

      3y(5y − 7x)

    • C. 

      7y(3y − 5x)

    • D. 

      5y(3y + 7x)

  • 7. 
    The maximum weight allowed inside an elevator is 1,000 lb. If W is the total weight of the people inside an elevator, which of the following is correct?  
    • A. 

      W < 1,000

    • B. 

      W ≤ 1,000

    • C. 

      W ≥ 1,000

    • D. 

      W > 1,000

  • 8. 
    Find the volume of this square prism.
    • A. 

      336

    • B. 

      356

    • C. 

      396

    • D. 

      416

  • 9. 
    Karen paid 24% of the cost of her house as deposit. If she paid $124,800 for the deposit, what was the total cost of the house?
    • A. 

      $29,952

    • B. 

      $154,752

    • C. 

      $499,200

    • D. 

      $520,000

  • 10. 
    Which is the best bargain?
    • A. 

      3.5 kg of washing detergent for $12.60

    • B. 

      1 kg of washing detergent for $3.50

    • C. 

      2 kg of washing detergent for $6.90

    • D. 

      500 g of washing detergent for $1.80

  • 11. 
    Estimate the area of the nonagon by counting squares. Which of the following gives the best estimate?  
    • A. 

      65

    • B. 

      68

    • C. 

      70

    • D. 

      75

  • 12. 
    Write this mathematical sentence using algebra: 6 is added to a number x. Then the result is multiplied by 9. The final answer is greater than 99.  
    • A. 

      9x + 6 > 99

    • B. 

      9(x + 6) > 99

    • C. 

      9(x + 6) < 99

    • D. 

      6(x + 9) > 99

  • 13. 
    The diagram shows two adjacent sides of a regular polygon. What is the name of the polygon?
    • A. 

      A Nonagon

    • B. 

      A Decagon

    • C. 

      A Hexagon

    • D. 

      A Heptagon

  • 14. 
    Sum of 72 microseconds and 230 nanoseconds in standard form is:
    • A. 

      7.223 x 10-4

    • B. 

      7.223 x 10-5

    • C. 

      7.223 x 10-7

    • D. 

      7.223 x 10-8

  • 15. 
    A pool is filled everyday with double the water from yesterday. If it takes the pool to be completely filled in 48 days, how long does it take to fill just half the pool?
    • A. 

      24 Days

    • B. 

      12 Days

    • C. 

      47 Days

    • D. 

      6 Days

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