Topic 2: Fractions
Question 1
Question 2
1
Question 3
Question 4
2
Question 5
What is the value of the expression on the right?
Question 6
3
Question 7
4
Problem solving
Question 8
What is my number?
1
a. The product of 12 and my number is 12
b. If 56 is added to 1/4 of my number, the result is the double of my number
1
c. If 6 is added to 22 times my number, the result is the triple of my number
1
d. If my number is multiplied by 4, the result is the same as adding 15 to 34 times my number
5
Question 9
Dave spent 2/5 of his money and then had $12 left. How much money did Dave originally have?
Question 10
Anne spent 1/3 of her money and then lost 1/2 of what she had left. She then had only 10c. How much money
did Anne originally have?
6
Work problems
Question 11
Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these
rates, how long would it take Dan and Stan to do this job working together?
Question 12
For a different job, Dan is able to work at the same rate as Stan. Together they can complete this job in six
days. Suppose that they are joined by Fran, who can also work at the same rate. How long would it take Dan,
Stan, and Fran together to do this job?
7
Question 13
Working alone, an adult requires three hours to do a certain job. A child working alone requires seven hours
to do the same job. How long will it take the adult and child working together to do this job?
Question 14
An old-model machine can stamp 1000 parts in four hours. A new-model machine can stamp 1000 parts in
just two hours. How long will it take one old-model and one new-model machine to stamp 1000 parts working
together?
Question 15
Laura needs three days to do a certain job, Eric needs four days to do the same job, and Connie also needs
four days to do the job. How long will it take Laura, Eric and Connie working together to do this job?
8
Question 16
It takes three minutes to fill a tub to the top and four minutes to drain the full tub. If the tap and drain are both
open, how long will it take to fill the tub?
Question 17
It takes nine days for eight workers to pave a stretch of road. If each worker works at the same rate as each of
the others, how long will it take twelve workers to pave the same stretch of road?
Question 18
A group of six scouts purchases rations sufficient for a 15-day camping trip. If three more scouts join the group
but no additional rations are purchased, how many days will the ration last?
9
Question 19
Four duplicating machine together require six minutes to make a certain number of copies. Each machine has
the same capacity. If one of the machines become inoperative, how long will it take the remaining machines
to make the same number of copies?
Question 20
1
A company payroll is prepared by tow computers in 133 min. Working alone, the faster of the two computers
can prepare the payroll in 20 minutes. How much times does the slower computer alone require to prepare the
payroll?
10
Answers:
Question 1
Question 2
Question 3
Question 4
11
Question 5
5/12
Question 6
Question 7
12
Question 8
Question 9
Question 10
Question 11
72 minutes
Question 12
4 days
Question 13
13
Question 14
Question 15
Question 16
Question 17
Question 18
Question 19
Question 20
14
