UPCAT Simulated Exam Math Quiz!
48 Questions
| Total Attempts: 1556
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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
Questions: 60 | Attempts: 15509 | Last updated: Mar 22, 2022
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