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6th Grade Mathematics Review

Total questions: 53

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

Which sentence accurately represents the following ratio:

a)

The ratio of moons to suns is 4 to 8

b)

There are 4 moons for every 8 suns

c)

There are 4 moons for every 2 suns

d)

The ratio of suns to moons is 2:1

2.

A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour?

a)

3 : 2

b)

3 to 2

c)

6 : 4

d)

2 : 3

3.

Are these ratios equivalent?

23\frac{2}{3}  and  89\frac{8}{9}  

a)

yes

b)

no

4.

What value is missing from the top right corner of the ratio table?

a)

12

b)

11

c)

10

d)

9

5.

Karl Anthony-Towns made 4 of his first 5 shots. If he were to take 20 shots in the game, how many shots is he on pace to make?

(a)  

6.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
7.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
8.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
9.
Which is not negative?
a)
Withdrawal
b)
Loss
c)
Fine
d)
Bonus
10.
Opposite of 142
a)
-142
b)
142
c)
+142
11.
Which is bigger and why?-5 or -4.5
a)
-5 because 5 is bigger than 4.5
b)
-4.5 because it is farther to the right on the number line
c)
-5 because it is farther to the left on the number line
12.
Which integer represents a gain of 10 yards on a football play?
a)
+10
b)
-10
13.
Which distance has the least absolute value?
a)
-19 feet
b)
-21 feet
c)
-16 feet
14.
12 and -12 are example of ....
a)
opposites
b)
even numbers
c)
negative numbers
d)
absolute values
15.

A variable...

a)

represents an unknown value.

b)

is a symbol.

c)

has no answer.

16.
How would you show: a number p increased by 48
a)
p+48
b)
48+p
c)
48-p
d)
p-48
17.
How would you show: 12 more than 5 times a number y
a)
5y+12
b)
12-5y
c)
12+5y
d)
5y-12
18.
3 + x  if x = 7
a)
11
b)
10
c)
4
d)
-4
19.
Which mathematical property shown here proves that these two expressions are equivalent?
   6(v+5v)  =   6v+30v 
a)
Commutative Property multiplication
b)
Identity Property
c)
Distributive Property 
d)
Associative Property of addition
20.

What is another way to write 53

a)

3 x 3 x 3

b)

3 x 3 x 3 x 3 x 3

c)

5 + 5 + 5 + 5 + 5

d)

5 x 5 x 5

21.

Find the equivalent expression.


9 x 9 x 9 x 9 x 9

a)

95

b)

915

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

22.

25 is the same as 2 x 5.

a)

True

b)

False

23.
Which expression is equivalent to 6y + 22y + y?
a)
28y + 1
b)
29y
c)
22y + 7
d)
29
24.

Find the value of the variable: m + 4 = 12

a)

16

b)

8

c)

48

d)

3

25.

Find the value of the variable: m - 4 = 12

a)

16

b)

8

c)

48

d)

3

26.

Find the value of m: m5 = 10\frac{m}{5}\ =\ 10  

a)

2

b)

5

c)

50

27.

Find the value of m: 5m = 10

a)

50

b)

2

c)

5

28.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

29.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

30.

5 + c = 8

a)

3

b)

13

c)

5

d)

8

31.

Find the value of a: 12 = 4a

a)

48

b)

3

c)

8

32.

Find the value of a: 12 = a412\ =\ \frac{a}{4}  

a)

48

b)

3

c)

8

33.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
34.
What is the area of a square with a length of 4 cm?
a)
16 cm
b)
16 square cm
c)
8 cm
d)
8 square cm 
35.

What is the area of the parallelogram above?

a)

13 cm2

b)

28.5 cm2

c)

45.6 cm2

d)

40 cm2

36.
a)
2 in2
b)
32 m2
c)
32 in
d)
32 in2
37.

Which of these numbers is the height?

a)

10

b)

5

c)

4

38.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
39.
Find the area of this triangle.
a)
150 ft2
b)
100 ft2
c)
50 ft2
d)
35 ft2
40.
Area or triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
41.

1/8 x 3/4

a)

2/32

b)

3/32

c)

4/32

42.

2/5 x 3/7

a)

6/35

b)

6/30

c)

5/35

43.
1/4  ÷  1/2
a)
2/6
b)
1/8
c)
3/5
d)
2/4
44.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
45.
What is the recriprocal of 4/5
a)
4/5
b)
5/4
c)
5/1
d)
1/5
46.
Convert the mixed number to an improper fraction
a)
8/5
b)
7/5
c)
6/5
d)
13/5
47.
Which of the following is an improper fraction?
a)
2/3
b)
3/2
c)
1  2/3
d)
1/3
48.
Write the improper fraction as a mixed number in simplest form.
7/3 =
a)
21/3
b)
13/7
c)
23/7
d)
14/3
49.
Divide. 1/3 ÷ 1/2
a)
2/3
b)
1/6
c)
4/8
d)
1 1/2
50.
Divide. 7/8 ÷ 4
a)
3  1/2
b)
7/2
c)
7/15
d)
7/32
51.
Divide. 3 ÷ 2/5
a)
2/15
b)
5/6
c)
1  1/5
d)
7  1/2
52.
Phoebe spends equal amounts of time on homework of each subject. She spends 1 hour on her homework. If Phoebe spends 1/4 and hour on French, How many subjects does she have?
a)
3 subjects
b)
5 subjects
c)
6 subjects
d)
4 subjects
53.
Brenda has 5/6 of a pie to divide evenly amount 4 people. What fraction of a pie does each person get?
a)
3/10
b)
1/4
c)
5/24
d)
1/6

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