and Mary rent bikes to travel around the streets. Both bikes start at the same
time from the same point and travel in the same direction. Tin rides his bike
at 4 miles per hour, and Mary at 6 miles per hour. In how many hours will the
two bikes be 4 miles apart?
A. half hour
B. 1 hour
C. 2 hours
D. 3 hours
rectangle has a length of 6 inches and a width of 4 inches. The area is in2
C. 24 in2
D. 26 in2
3. Pablo and Tosio are asked to paint a house. Pablo can paint the
house by himself in 12 hours and Tosio can paint the house by herself in 16
hours. How long would it take to paint the house if they worked together?
A. 2.8 hours
B. 4.6 hours
C. 5.1 hours
D. 6.9 hours
4. One pipe can fill a swimming pool in 10 hours, while another pipe
can empty the pool in 15 hours. How long would it take to fill the pool if both
pipes were accidentally left open?
A. 25 hours
B. 30 hours
C. 45 hours
D. 50 hours
sum of two numbers is 16. The difference is 4. What are the two numbers?
A. 10, 6
B. 12, 4
C. 13, 3
D. 14, 2
one number is three times as large as another number and the smaller number is
increased by 19, the result is 6 less than twice the larger number. What is the
perimeter of a square is 24 cm. The area of the square is cm2
A. 12 cm2
B. 28 cm2
C. 36 cm2
D. 42 cm2
length of a rectangle is 6 cm and the width is 4 cm. If the length is greater
by 2 cm, what should the width be so that the new rectangle has the same area
as the first one?
A. 1 cm
B. 2 cm
C. 3 cm
D. 4 cm
number exceeds another number by 5. If the sum of the two numbers is 39, find
the smaller number.
10. How many kg of pure H2O
should be added to 300kg of 25% of saline solution to make it a 5% saline
cars start at the same toll gate going at the same direction. The first car
travels at speed 20 mph while the other car at 36 mph. In how many hours will
the 2 cars be 32 miles apart?
A. 1 hour
B. 1 and a half hour
C. 2 hours
D. 4 hours
a number plus 5 is 11.What is the number?
square with a side of 6 cm and a rectangle with a width of 4 cm have the same
area. What’s the length of the rectangle?
A. 6 cm
B. 9 cm
C. 12 cm
D. 15 cm
14. Gabriel, Jose, and Jasper are working on a school project. Gabriel
can complete the project by himself in 6 hours, Bryan can complete the project
by himself in 9 hours, and Jose can complete the project by himself in 8 hours.
How long would it take the triplets to complete the project if they work
15. Sean has coffee worth ?6 per pound and he wants to mix with 15 pounds of
coffee with ?10 per pound to get a
mixture that can be sold for ?8 per pound. How many pound/s of the cheaper coffee should be used?
A. 5 lbs
B. 10 lbs
C. 15 lbs
D. 20 lbs
area of a square is 16 in2. Its side is in.
rectangle has the length of 12 cm and the width 3 times smaller. Its area is cm2
A. 26 cm2
B. 48 cm2
C. 63 cm2
D. 82 cm2
sum of two consecutive even integers is 26. What are the two numbers?
A. 8, 10
B. 10, 12
C. 12, 14
D. 14, 16
19. How many liters of 35%
alcohol solution should be added to 30 L of a 45% alcohol solution to make a
A. 25 L
B. 30 L
C. 34 L
D. 40 L
sum of three consecutive integers is 306. What is the largest integer?
side of a square is 5 meters. The area of the square is m2
criminal is on the run driving a car with a speed of 100 mph, chasing the
criminal the police drives at 120 mph, in how many hours will the police catch
up to the criminal
A. 1 hour
B. 3 and a half hour
C. 4 hours
D. 5 hours
23. Mariz grinds 50 grams of
herbal tea worth ?12 per gram with 100
gram of green tea worth ?4.80 per gram. What is the cost per gram of the blend?
A. ? 7.20
B. ? 8.2
C. ? 10.8
D. ? 12
length of a rectangle is 12 cm and its width is 5 cm smaller. The area of the
rectangle is cm2.
A. 24 cm2
B. 36 cm2
C. 63 cm2
D. 84 cm2
6 times a number is increased by 4, the result is 40. Find the number.
26. One roofer can put a new roof on a house three times faster than
another. Working together they can roof a house in 5 days. How long would it
take the faster roofer working alone?
A. 3.3 days
B. 4.4 days
C. 6.8 days
D. 9.6 days
27. A Choco mix is to be
made that sells for ?3 by mixing two kinds of
chocolate. The cafe has 35 ml of Choco that costs ?4. How much of another coffee that costs ?2 should the cafe mix with the first?
car traveling at an average rate of 50 km/h made the trip to town in 3 hours.
If it had traveled at 75 km/h, how many more minutes would it have taken to
make the trip?
A. 1 and a half hour
B. 2 hours
C. 3 hours
D. 3 and a half hour
ratio of two numbers is 5 to 1. The sum is 18. What are the two numbers?
A. 2, 16
B. 3, 15
C. 4, 14
D. 5, 13
30. Jasper can mow the lawn in 40 minutes and Jose
can mow the lawn in 60 minutes. How long will it take for them to mow the lawn
A. 12 minutes
B. 20 minutes
C. 24 minutes
D. 36 minutes
has six times as many dimes as quarters in her piggy bank. She has 21 coins in
her piggy bank totaling $2.55. How many of each type of coin does she have?
A. 3 quarters, 7 dime
B. 4 quarters, 8 dime
C. 3 quarters, 8 dime
D. 1 quarters, 6 dime
took a drive to town at a rate of 30 mph, later he drove back at 45 mph. If he
spent a total of 5 hours traveling, what is the distance traveled by Jonjon?
A. 90 miles
B. 150 miles
C. 180 miles
D. 200 miles
area of a rectangle is 45 cm2. If its length is 9 cm, then its width
many squares with the side of 2 cm cover the surface of a rectangle with a
length of 24 cm and a width of 8 cm?
is traveling at an average speed of 15 km/h, if he arrived in destination after
2 hours. Determine the distance covered by Franny while he is travelling.
A. 15 km
B. 25 km
C. 30 km
D. 45 km
36. Yuli and Liza have to stuff and mail 1000 envelopes for a new
marketing campaign. Liza can do the job alone in 6 hours. If Yuli helps, they
can get the job done in 4 hours. How long would it take Liza to do the job by
A. 12 hours
B. 16 hours
C. 18 hours
D. 22 hours
37. A 100 ml after-shaved
lotion at 45% alcohol was mixed with 45ml of pure H2O. What is the percentage
of alcohol in the new solution?
A. 31 ml
B. 41 ml
C. 51 ml
D. 61 ml
12 pounds of salt water 10% is salt; of another mixture 3% is salt. How many
pounds of the second should be added to the first in order to get a mixture of
39. A 100 LB bag of animal feed
is 40% oats. How many pounds of oats must be added to this feed to produce a
mixture which is 50% oats?
40. Ben mixed together 9 gal. of
Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit
juice. Find the percent of fruit juice in Brand A if the mixture contained 30%