# UPCAT Simulated Exam Math Quiz!

48 Questions | Total Attempts: 1556  Settings  .

• 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.

• B.

• C.

• 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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