Math Worksheet Unit 1: Rational Numbers Name ___________
Part 1: Multiple Choice. Place the letter of the best choice in the space on the left.
___ 1. People were asked to rate each on a scale from -10 and +10. Negative 10
indicates unpleasant and positive 10 indicates great pleasure. Which experience would you likely rate a score of +10?
A. Visiting the dentist
B. Playing with your dog
C. Winning a lottery worth $1 million
D. Doing homework
___ 2. Which set of integers is arranged from least to greatest?
A. - 3, + 3, - 2, + 2, - 1, + 1 B. + 4, + 2, + 1, - 4, - 7
C. - 7, - 5, - 1, 0, + 3, + 4 D. 0, + 4, - 5, + 6, - 7
___ 3. Which set of rational numbers is arranged from greatest to least?
A. 
, – ½, 0, 
, 0.6, 1.0 B. - 3.25, 
, 7/5, 0.5, 
, 
C. - 1.375, 
, ½, 0.9, 
, -0.7 D. 
, 
, 
, - 1.1, 
, - 3.6
___ 4. What is ( - 5.6) / ( - 0.16) in simplest form?
A. + 35 B. – 0.35 C. – 3.5 D. + 3.5
___ 5. What is 
– 
in simplest form?
A. 4/6 B. 4/3 C. 9/6 D. 3/2
___6. Identify the position of the point shown on the number line below:
A. 2/3 B. 9/4 C. 5/2 D. 11/4
___ 7. An elevator started on the 5th floor. It went up 3 floors, down 6 floors, up 9 floors, up 3 floors, down 2 floors, and down 3 floors. On which floor did the elevator finally stop?
A. 5th floor B. 9th floor C. Basement D. 8th floor
___ 8. A road is 11.8 km long. It is paved for a distance of 7.6. Which amount remains to be paved to complete the project?
A. 19.4 km B. 4.2 km C. 1.6 km D. 0.64 km
___ 9. Find the quotient:
1
÷
2
A. 16/25 B. 1 1/6 C. 1 D. 4
___ 10.Each turn of the handle of a jack raises the car by 0.014 m. How many turns will be needed to raise the car 0.119 m?
A. 0.01666 B. 8.5 C. 85 D. 0.0118
___ 11.Which statement is false?
A. – 1 > - 8 B. 0 < 1 C. – 5 < -3 D. – 4 > - 3
___ 10.Terry has $50. Thomas repays Terry the $12.00 he borrowed. Then Terry buys a CD for $21.18. How much does Terry have left?
A. $16.82 B.$28.82 C. $40.82 D. $83.18
___ 11. Which of the following fraction models represents the
difference 
−
?
A. Figure A B. Figure B C. Figure C D. Figure D
___ 12. Order , 
,
and 
from
least to greatest.
A. <
<
B. 
<
<
C. <
<
D. <
<
___ 13. What subtraction problem is modeled by the following
grid?
A. 1.57 − 0.33 = 1.24 B. 1.9 − 0.33 = 1.57
C. 1.9 − 0.37 = 1.53 D. 2 − 0.1 = 1.9
___ 14. Simplify the expression 2 • (3 + 5 − 1) • 2.
A. 14 B. 21 C. 28 D. 30
___ 15. Ken ate 3/8 of a pizza and Tyler ate 1/4 of it. What total fraction of the pizza was eaten?
A. 1/3 B. 1/8 C. 1/2 D. 5/8
Part 2: Short Answer.
1. Write a rational number to represent each statement.
a) 2 new students in class. _____ b) a profit of $250.80. _____
c) climbing 24 stairs. _____ d) descending 14 stairs. _____
e) a gain of 3/8 points. _____ f) a fall of 3 ½ points. _____
g) an altitude of 1500 m. _____ h) a depth of 600 m. _____
2. Find a rational number between:
a) –0.4 and –0.5 __________
b) 
and 
__________
c) 0.01 and 0.001 __________
3. Comlpete with =, <, or >
a) 
_____ 
b) 
_____ 
c) -0.0026 _____ -0.0027 d) 
_____ 
4.Hannah’s regular wage is $6.50 per hour during the week. If he has to work on the weekend, the complany pays him one and one-half times as much per hour.
a) Show your work to calculate Hannah’s weekend hourly rate.
b) Show your work to answer this question: What would Hannah earn if she worked 4 ½ hours on Thursday and 3 hours on Saturday?
5. Ms. Stanley noticed that there was three-fourths of a pizza left on the kitchen counter when she got back home. She was hungry so she ate one-half of this left-over pizza.
a) Draw a fraction picture that would accurately illustrate what Ms. Stanley did.
b) What fraction of a full pizza did Ms. Stanley eat?
6. Add, Subtract, Multiply or Divide the following rational numbers. Show all workings. Reduce answer to simplest form.
a) ( - 0.8) x (
-1.5) b) 
÷ 
c) (- 0.75) – ( -1.5)
d) ( ) + () e) 
x 
f) – 
