Name _____________________________________
TEST DATE: __________________________
Math 6 Unit 1 Test STUDY GUIDE
Equivalent Relationships, Ratios, Fractions, Decimals & Percentages
(SOL 6.1 & 6.2)
Use the following chart to answer questions #1-4:
Students’ Favorite Sports
6
12
8
10
Soccer
Football
Baseball/Softball
Lacrosse
Write a ratio 3 ways that represents what is being asked by the question.
(Don’t forget to reduce/simplify!)
1)
Ratio of students who like Football to those who like Lacrosse ________________________
2)
Ratio of students who like Soccer to those who like Baseball/Softball __________________
3)
Ratio of students who like Football to all those surveyed _____________________________
4)
Ratio of students who like Soccer to all those surveyed ______________________________
Write the following decimals as a fraction. (Don’t forget to simplify!) Then write the fraction as a ratio 3 ways.
5)
A) 0.125
B) 0.04
C) 0.6
Write the following decimals as a percent, then as a ratio 3 ways:
6)
A) 0.037
B) 0.37
C)
3.7
Write the following percentages as a ratio 3 ways. Then write the percent as a decimal:
7)
A) 43%
B)
4.3%
C)
0.43%
Write the following percentages as a fraction. (Don’t forget to simplify!) Then write the fraction as a ratio 3 ways.
8)
A) 540%
B) 54%
C) 5.4%
D) 35%
Write the following fractions as a ratio 3 ways, then as a percent: (Hint: you may need to use bar notation!)
7
4
1
2
9)
A)
B) 2
C) 3
10
5
6
D) 3
Write the following fractions as a ratio 3 ways, then as a decimal: (you may need to reduce, divide or make equivalent fractions)
10)
A)
11
20
B) 2
6
8
C)
1
5
D)
10
12
Order the following numbers in ascending order (Least to Greatest)
11)
22 %,
1
, 0.234, 24.5%,
4
1
5
12)
6
1
, 0.06,
3
11
14)
7
2
, 7 , 72%,
22
9
16)
13)
0.044, 4%,
15)
2.072,
35%,
1
3
, 0.345 ,
, 30.4%
3
10
−−
11
2
, 21%, 0.2 1 ,
, 25%
50
9
45%,
4
4
,
5
−−
0. 4 , 80%
Use the following group of shapes to answer questions #11-13.
Write each of the following ratio THREE different ways. Don’t forget to simplify first!
I wonder how
many total
shapes there
are???
(a:b, a to b,
17) hearts to smiley faces
18) triangles to hearts
19) smiley faces to all shapes
Write a fraction (in simplest form), decimal, and percent for the shaded part of the model.
20)
A) Fraction
______________________
B) Decimal
______________________
C) Percent
______________________
a
b
)
Practical Application
21) You, your brother, and your best friend each take the same number of shots at a soccer goal. You make
16
82% of your shots, your brother makes
of his shots, and your friend makes 0.89 of his shots. Who
20
made the fewest shots?
22) Which is greater, 65% or
12
?
21
23) Which is greater, 12.5% or 1.25?
24) You answer 30 out of 40 questions correctly on a test. Did you reach your goal of 80%?
25) How many percentage points were you away from your goal?
26) Explain what you would do to change
9
to a decimal and to a percent.
20
27) Explain what you would do to change 5.26 to a fraction and a percent.