UPCAT Simulated Exam Math Quiz!

48 Questions | Total Attempts: 1556

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UPCAT Simulated Exam Math Quiz! - Quiz

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Questions and Answers
  • 1. 
    A circular table is pushed into a corner of a rectangular room so that it touches both walls.  A point on the edge on the edge of the table between the two points of contact is 2 inches from one wall and 9 inches from the other wall.  What is the radius of the table?
    • A. 

      20 inches

    • B. 

      12 inches

    • C. 

      15 inches

    • D. 

      17 inches

  • 2. 
    Twelve consecutive integers are added together. What is the remainder when the sum is divided by 4?
    • A. 

      1

    • B. 

      2

    • C. 

      3

    • D. 

      No remainder

  • 3. 
    Find the total surface area in square meters of a rectangular solid whose length is 7 meters, width is 6 meters, and depth is 3 meters.
    • A. 

      32

    • B. 

      162

    • C. 

      81

    • D. 

      126

  • 4. 
    A cube has a volume of 125cm3. What is the area of one face of a cube?
    • A. 

      20 sqcm

    • B. 

      25 sqcm

    • C. 

      41.33 sqcm

    • D. 

      5 sqcm

  • 5. 
    The diagonals of a rhombus measure 24 inches and 32 inches.  The perimeter of a rhombus.
    • A. 

      Cannot be determined uniquely from the given information

    • B. 

      Must be 80 inches

    • C. 

      Must be 160 inches

    • D. 

      Must be 100 inches

  • 6. 
    A car traveled 3 miles south, 9 miles east, and then another 9 miles south.  What is the straight-line distance (in miles) between the point where the car started and where it stopped?
    • A. 

      21

    • B. 

      18

    • C. 

      3

    • D. 

      15

  • 7. 
    The diagonals of a rhombus measure 24 inches and 32 inches.  The perimeter of a rhombus
    • A. 

      Cannot be determined uniquely from the given information

    • B. 

      Must be 80 inches

    • C. 

      Must be 81 inches

    • D. 

      Must be 160 inches

  • 8. 
    Find the y-intercept of the perpendicular bisector of AB where A (5, 8) and B (-2, 2)
    • A. 

      6.75

    • B. 

      7.75

    • C. 

      8.75

    • D. 

      8.25

  • 9. 
    The sum of the first five terms of a geometric sequence is 93.  If its common ratio is 2, what is the first term?
    • A. 

      2

    • B. 

      4

    • C. 

      3

    • D. 

      5

  • 10. 
    A certain number was to be added to 1/2 but by mistake 1/2 was divided by the number.  However, the correct result was obtained.  Find the number.
    • A. 

      2 or -1

    • B. 

      -2 or 1

    • C. 

      1/2 or -1

    • D. 

      1/4 or 1

  • 11. 
    The sides of a right triangle are denoted as x, (x + 1) and (x + 2).  What is the largest side of the triangle?
    • A. 

      3

    • B. 

      4

    • C. 

      5

    • D. 

      6

  • 12. 
    A letter is chosen at random from the word “superstar”. What is the probability that a letter is a vowel?
    • A. 

      2/3

    • B. 

      1/3

    • C. 

      1/9

    • D. 

      1/6

  • 13. 
    The measures of the sides of a triangle are 10, 13, and 13 cm, how far is the shortest side to the opposite vertex?
    • A. 

      11 cm

    • B. 

      12 cm

    • C. 

      12.5 cm

    • D. 

      12 cm

  • 14. 
    What is 2563/4?
    • A. 

      192

    • B. 

      64

    • C. 

      128

    • D. 

      160

  • 15. 
    A store sells calamansi at 8 for P2.00.  If it changes the price to 10 calamansi for P3.00, what is the percent increase in price per calamansi?
    • A. 

      20%

    • B. 

      25%

    • C. 

      33 1/3%

    • D. 

      40%

  • 16. 
    The minute hand of a clock has made sixteen complete revolutions since noon, what angle (in degrees) does the minute hand make with the hour hand?
    • A. 

      60

    • B. 

      150

    • C. 

      90

    • D. 

      120

  • 17. 
    Solve for x: 4x = 8
    • A. 

      1/2

    • B. 

      3

    • C. 

      -2

    • D. 

      3/2

  • 18. 
    What are the roots of the equation x2 + 3x - 10
    • A. 

      -5, 2

    • B. 

      3, 1

    • C. 

      -2, 5

    • D. 

      5, 2

  • 19. 
    What is (1 + 2)2 + (3 - 1) * 33 + 1?
    • A. 

      28

    • B. 

      3

    • C. 

      6

    • D. 

      -3

  • 20. 
    Which of the following statement is not true?
    • A. 

      The slope of a vertical line is undefined

    • B. 

      The slope of a line from left to right, going upwards is positive

    • C. 

      The slope of a line from left to right, going downwards is negative

    • D. 

      None of the above

  • 21. 
    For every negative number z, if x > y, then
    • A. 

      X>z

    • B. 

      Xz

    • C. 

      X+z

    • D. 

      None of the above

  • 22. 
    In the system {x > 0, y > 0}, the intersection is the set of all numbers pairs in 
    • A. 

      Quadrant I

    • B. 

      Quadrant II

    • C. 

      Quadrant IV

    • D. 

      All of the above

  • 23. 
    The second and fifth term of a geometric progression is 6 and 162 respectively.  What is the common ratio?
    • A. 

      1/2

    • B. 

      1/3

    • C. 

      3

    • D. 

      2

  • 24. 
    If m, m+3, 2m-5  is an arithmetic progression, what is the value of m?
    • A. 

      3

    • B. 

      8

    • C. 

      14

    • D. 

      11

  • 25. 
    What is the sum of the first 40 multiples of 4?
    • A. 

      3200

    • B. 

      3280

    • C. 

      6560

    • D. 

      6400

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