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1. When Walter drove up to the gasoline pump, he noticed that his gasoline tank was ⅛ full. He
purchased 7.5 gallons of gasoline for $10. With this additional gasoline, his gasoline tank was
then ⅝ full. The number of gallons of gasoline his tank holds when it is full is
The third exit on a highway is located at milepost 40 and the tenth exit is at milepost 160.
There is a service center on the highway located three-fourths of the way from the third exit
to the tenth exit. At what milepost would you expect to find this service center?
3. In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be
traded for four bags of rice. How many bags of rice is one fish worth?
4. A man gives ⅓
of his money to his son, ⅕ of his money to his daughter and the remaining money to his wife. If his wife gets $35000, how much money did the man originally have?
5. Alex, Brandon and Cayden are to complete a 940-component LEGO set, where the time spent
on each component is the same. If each of them completes the LEGO set individually, the
ratio of the time they spent is 3:4:5 respectively. Now they are to work together to complete
the LEGO set. How many components will Alex form?
6. The ratio of the number of boys to the number of girls is 3:2. If each boy is given 2 stickers
while each girl is given 3 stickers, a total of 1992 stickers are needed. How many children are
there?
7. A group of tourists visited an amusement park. The admission ticket costs $10 per adult and
$6 per child. They paid a total of $258 for the admission tickets. If the ratio of the number of
adults to the number of children was 5:6, find the number of children in the group.
8. A survey was conducted on students from NUS High School to determine the preferred type
of food in the school. The pie chart represents the result of the survey.
It was found that 288 more students preferred Japanese food than Indian food. Also, the total
number of students who preferred Chinese food and Indian food is equal to the number of
students who preferred Japanese food. If the number of students who preferred Chinese food
is 4 times the number of students who preferred Indian food, how many students preferred
Western food?
9. A seller had an equal number of Grade A pears and Grade B pears. 2 Grade A pears cost $5
while 3 Grade B pears cost $5. The seller mixed the pears up and sol them at 5 pears for $10.
After the seller sold all the pears, he found out that he received $35 less than if he had sold
all the pears according to the grades. What was the total number of pears sold?
10. A class of students bought and equally distributed a certain number of notebooks. If the
notebooks are distributed to girls only, each girl will receive 15 notebooks. If the notebook are
distributed to boys only, each boy will receive 10 notebooks. If the notebooks are distributed
to everyone in the class, how many notebooks will each student receive?
11. Wayne has 7/13 of the number of stamps that Monica has. After Peter gave an equal number of
stamps to Wayne and Monica, Wayne has 9/10 of the number of stamps that Monica has. If the
number of stamps Peter gave to Wayne is between 500 and 550, what is the number of stamps
that Peter gave to Monica?
12. Given that A : B = 5 : 4, B : C = 7 : 2 and D : C = 3 : 4, find the value of D if A = 210.
13. 3 oranges cost as much as 4 apples and 1 pear. 4 pears cost as much as 6 oranges. How many
apples cost as much as 1 pear?
15. Two bottles A and B each contain a different amount of water. After ¼
of the water in A is poured into B and then ¼ of the water in B is poured in A, the two bottles will each contain
an equal amount of water. Find the ratio of the original amount of water in A to the original amount of water in B.
16. A contractor requests 2 men to build brick walls. One man can build a brick wall in 9 hours,
while the other man can do the same job in 10 hours. However, when the two men work
together, there will be a shortfall of a total of 10 bricks per hour, and it takes them exactly 5
hours to complete the brick wall. Find the total number of bricks used on the wall.
17. Clock A is ten seconds faster than standard time every hour. Clock B is twenty seconds slower
than the standard time every hour. If we adjust the two clocks to standard time at the same
time, then within 24 hours clock A shows 7:00 while clock B shows 6:50. What is the standard
time at that moment?
18. In a class of 45 students, 6 girls and &frac17; of the boys took part in a Mathematics competition.
There are an equal number of girls and boys who did not take part in this competition. Find the number of girls in the class.
19. The ratio of male students to female students in a primary school is 5:4. The ratio of students
who wear spectacles to students who do not is 11:1. Given that 64% of the students who do not
wear spectacles are female, find the percentage of female students who do not wear spectacles.
20. The ratio of male to female students in a primary school is 27 : 25 . A survey shows that 75%
of these students like to eat fast food, while the rest do not. Given that the ratio of male to
female students who do not like to eat fast food is 8 : 5, find the percentage of female students
who like to eat fast food.
21. In a school of 2014 students, 520 students wear both glasses and braces while 434 students
wear neither. Given that the ratio of the number of students wearing glasses to the number of
students wearing braces is 11:9, find the number of students wearing glasses but not braces.
22. 40% of girls and 50% of boys in a class got ‘A’. If there are only 12 students in the class got
‘A’s and the ratio of boys and girls in the class is 4 : 5, how mnay students are there in the
class?
23. James and Betty were given some money each. If James and Betty spent $100 and $50 each
day respectively, James would still have $1300 when Betty had spent all her money. If James
and Betty spent $50 and $100 respectively, James would still have $3700 when Betty had spent
all her money. How much money was given to James at the beginning?