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40 questions
In a bag of marbles, the ratio of the number of green marbles to the number of blue marbles is 4 to 5. If there are 48 green marbles, how many blue marbles are in the bag?
5
15
60
75
135
A certain factory employs 60 workers. If 4 out of every 5 workers are married, how many married workers are employed by the factory?
16
20
24
40
48
If the ratio of boys to girls in a classroom is 1 to 3, what percent of the class is girls?
10%
25%
(100/3) %
50%
75%
A paint mixture contains yellow, blue and red in 3:2:1 ratio, respectively. If the mixture contains twelve pints of yellow paint, how many pints are there altogether?
9
12
15
16
24
Oil is poured into a large, empty tank at the rate of 500 gallons per minute. At the same time, oil is leaking out at a rate of 300 gallons per minute. If it takes 1 hour to fill, how many gallons of oil can the tank hold?
5,000
6,000
9,000
12,000
15,000
A 30-meter long steel cylindrical pipe of uniform constitution is cut into two pieces. One piece is 24 meters and weighs 16 kilograms. what was the weight, in kilograms, of the pipe before it was cut?
20
22
24
28
32
If x=-2, which of the following is the least in value?
1-x
1+x
5
4
3
2
1
The average (arithmetic mean) grade of 10 students on a test is 74. What would an eleventh student have to score on the test to bring the new class average to 75?
100
90
85
75
66
The average (arithmetic mean) of 6, 21, x and y is 13, where x and y are integers with a product of 100. Which of the following could be the value of x?
50
20
10
4
1
1
A chemical compound becomes 1.375 degrees hotter when one gram of calcium is added to it. How much calcium must you add to raise the temperature of the compound by 75.625 degrees?
40.0
53.625
55.0
56.375
75.625
If garden soil costs r centavos per kilogram, how many kilograms may be bought for 500 pesos?
500r
If x=2y and 8y=z, what is x in terms of z?
4z
8z
16z
If a+1 is an even integer, which of the following must be an odd integer?
If a,b,c,d, and e are consecutive integers, and a=9, what is the average of the five numbers?
9
10
11
12
13
What is the sum of the least integer greater than -5 and the greatest integer less than 5?
-2
-1
0
1
2
For which of the following numbers is the hundreds digit half the tens digit, and the tens digit twice the unit digit?
124
428
284
421
242
A set of three positive integers has a sum of 9 and a product of 24. If the smallest of the integers is 2, what is the largest?
12
8
6
4
2
If AB=17, BC=7 and C is the midpoint of line segment BD, then the length of line segment AD is
24
27
31
38
39
The price of a stereo is increased by Php420, or 6% of the original price. What was the original price of the stereo?
Php2520
Php6000
Php6580
Php7000
Php7420
At a sale Thiel buys a dress that was reduced by 10% from Php1000. The following week the same dress is increased by 10% over the sale price. What is the final price (in peso)?
Php1100
Php1000
Php990
Php900
Php810
Find the slope of the line that passes through the points (2,6) and (5,1).
Find the distance between the points (-3,-2) and (1,1).
3
5
4
9
Find the other endpoint of a segment with one endpoint at (3,7) and the midpoint at (2,0).
(1,7)
(-4,3)
(3,-4)
(7,1)
Find the equation of the line containing the point (2,-3) and has a slope of 1.
y=x-5
y=x+5
y=x-3
y=x+3
Find the equation of the line through (0,0) and perpendicular to x=5?
y=5
y=5x
y=0
y=x+5
Find the equation of the line through (2,5) and parallel to the line 3x-2y=5.
3x-2y=-4
2x-3y=4
3x-2y=4
2x-3y=-11
2
-2
1
-1
sqrt of 2
negative sqrt of 2
Find x so that (x,x) is equidistant from (0,1) & (3,2).
What is the area of a triangle with vertices (0,8), (0,0), and (-8,0)?
16
-16
32
-32
Point (3,4) is the center of a circle that is tangent to the x-axis. The point of a tangency is
(0,3)
(3,0)
(0,4)
(4,0)
If all points, 5 units from (1,2) are joined, the result will be ___.
a rectangle with an area of 25 sq. units
a circle of diameter 5
a circle of radius 5
a square with an area of 100 sq. units
Find the value of k for which the line 3x+ky=7 passes through the point (3,2).
k=1
k=2
k=-1
k=-2
Find the value of k such that the line kx+3y=5 is perpendicular to the line x-2y+6=0
k=3
k=2
k=6
k=-6
The vertices of triangle PQR are (-5,0), (0,5), (5,0). Triangle PQR is ___.
equilateral
right
obtuse
acute
How many numbers of 4 different digits each greater than 5000 can be formed from the digits 1,2,3,4,5,6,7?
30
60
90
360
In how many ways can 4 persons be seated in around table?
4
6
24
30
A pair of dice are rolled. Find the probability that the total on the two dice is not 8.
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