Math 9
Rational Numbers
Name:
1.) On a flight to Toronto, an airplane is climbing to its cruising altitude and is currently
1
2
of the way up. After climbing another 16,000 feet, it is of the way. What is the final
4
3
cruising altitude of the plane?
A) 25 600 feet
B) 38 400 feet
C) 32 200 feet
D) 28 800 feet
2.) You invested $100 of your allowance for a year. Some months you lost money, and
some months you earned money. The following table shows the percentages that your
allowance lost or earned.
JAN
FEB
–2% –1%
MARCH
APRIL
MAY
JUNE
JULY
AUG
SEP
OCT
NOV
DEC
3%
2%
0%
4%
2%
–2%
0%
4%
4%
3%
After one year, how much money will you have in total?
A) $18
B) $118
C) $27
D) $127
3.) The population of Roseville is 4.1 × 104 people. The population of Lilyville is 370,000
people. Which town has the larger population and by how many more people?
A) Lilyville by 3.29 × 104 people
B) Lilyville by 3.29 × 105 people
5
C) Roseville by 3.29 × 10 people
D) Roseville by 4.0 × 10–1 people
4.) If planet A has a diameter of 1.27563 × 104 km and planet B has a
diameter of 6.794 × 106 m, which of the following statements is true?
A) Planet A is larger than planet B
B) Planet B is larger than planet A
C) Planet A is the same size as planet B
D) Planet A has a smaller diameter than planet B
5.) Points 'A' and 'B' in the number line above represent rational numbers. What are they?
A) +0.75 and +1.5 respectively
B) –0.75 and +1.5 respectively
C) –1.1 and +1.5 respectively
D) –1.1 and –0.5 respectively
6.) Given the set of numbers below, the smallest value is:
{5.12 × 10–4, 5.12 × 10–3, 5.11 × 10–4, 5.11 × 10–3}
A) 5.12 × 10–4
B) 5.11 × 10–4
C) 5.12 × 10–3
D) 5.11 × 10–3
2
 1  1  1
7.)   −     =  5  5  4
1
1
1
1
A)
− B)
−
C)
D)
20
100
20
100
8.) Which of the following is not a rational number?
A) 25
B) 1/3
C) -101
D) π (pi)
9.)
A store sells two different brands of milk. One brand sells for $1.21/L and the other
for $1.33/L.
If you want to purchase 8 L of milk, how much do you save by buying the less expensive
milk instead of the more expensive one?
A) $10.64
B) $9.68
C) $0.96
D) $1.06
10.) Multiply and leave in Fraction Form:
A.)
1 5
x
=
4 14
B.)
3 1
C.)
x
=
5 4
3 5 2
E.)
x
x
=
5 14 7
2
3
3
G.)
(‐ )x
(‐ )
x
(‐ )=
5
8
8
1 3
x
=
4 5
5 3
x
=
14 5
D.)
F.)
‐
2 2
x =
7 7
H.)
9  −11   −27 
X
 X
 =
21  18   33 
2 11
÷ =
3 7
11.) Divide and leave in Fraction Form.
A.)
C.)
E.)
2 8
÷ =
7 3
B.)
7 11
÷ =
3 13
D.)
−
63  7 
÷ −  = 9  3
F.)
H.)
−4
7 4
÷ =
3 13
63  7  3
÷ −  ÷
=
9  3  63
1
1
G.)
3 ÷ 2 = 2
3
1
1
÷ 3 =
2
3
12.)
Simplify
and
answer
in
an
integer:
( 2 )5 ( 2 )3 − 13 × 2 0
=
4
−6 + 32
(
)
13.)
Evaluate
the
following
expression:
16 − 4
−2=
6 + 2
2 +2