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Review for NWEA 7th grade (EOY)

Total questions: 155

Worksheet time: 4hrs 9mins

Name
Class
Date
1.

Commutative Property says a +b = b+ a , order doesn't matter when I add or multiply. Which statement does not show this?

a)

3 +4 = 4+ 3

b)

5a + 6f = 6f + 5a

c)

2(4) = 4(2)

d)

5 - 2 = 2 - 5

2.

Zero property says a x 0 = 0; anything times zero will equal zero. Which statement doesn't equal zero?

a)

3(0)

b)

0a

c)

3 + 0

d)

03

3.

y + y + y =

a)

y+4

b)

3 + y

c)

3y

d)

y3

4.

2(9k) =

a)

18k

b)

11k

c)

7k

d)

29k

5.

4a + 8 - 3a + 7

a)

a -1

b)

a + 15

c)

12a + 4

d)

a + 56

6.

Evaluate: x2 if x=4

a)

4

b)

16

c)

8

d)

6

7.

Evaluate: 3e -6 + f3. if e = 5 and f= 1

a)

9

b)

3

c)

2

d)

10

8.

Which algebraic expression translates as "a number more than 5"

a)

n + 5

b)

n - 5

c)

5n

d)

n5

9.

Which algebraic expression translates as "a number to the power of 5"

a)

n + 5

b)

n - 5

c)

5n

d)

n5

10.

Translate: 6m

a)

six more than m

b)

six times m

c)

6 divided by m

d)

m less than 6

11.

" 7 less than a number is 40 "

a)

7m = 40

b)

m - 7 = 40

c)

40m + 7

d)

7 - 40 - m

12.

Which expression represents: "Sarah had 12 pencils, she lost some."

a)

12 - p

b)

12p

c)

12 + p

d)

12/p

13.

evaluate: 104

a)

100

b)

1000

c)

10,000

d)

10

14.

53 means...

a)

5(5)(5)

b)

5 + 3

c)

3(5)

d)

3 x 3 x 3 x 3 x 3

15.

evaluate: 53

a)

125

b)

15

c)

8

d)

625

16.

Divide: 5 ÷ 1/4

a)

12

b)

20

c)

1 1/4

d)

5

17.

Sam has 10 feet of board. He needs to cut it into 1/3 ft. pieces. which problem represents this situation?

a)

10 + 1/3

b)

10 ( 1/3)

c)

10 ÷ 1/3

d)

10 - 1/3

18.

Janice has 3 1/4 rolls of ribbon. She uses 12/3 of a roll for a bow.

Which expression represents the situation?

a)

3 1/4 + 12/3

b)

3 1/4 (12/3 )

c)

3 1/4 - 12/3

d)

12/3 + 3 1/4

19.

Frank had $4.55. he bought some fries. Now he has $2.10.

a)

$2.10 - f = $4.55.

b)

$4.55 + f = $2.10

c)

$4.55 - $2.10 = f

d)

$4.55f = $2.10

20.

Which value for c makes the statement true?

c + 3 = 10

a)

7

b)

4

c)

6

d)

3

21.

Which value for g makes the inequality true?

g - 4 ≥ 16

a)

21

b)

8

c)

3

d)

4

22.

evaluate: 15 - 3(4 -2) + 30 ÷ 5

a)

15

b)

11

c)

30

d)

8

23.

Which value for g makes the inequality true?

4g ≥ -6

a)

2

b)

-8

c)

-3

d)

0

24.

evaluate: 15 + 9 ÷ 3 - 2 + 5

a)

7

b)

11

c)

1

d)

8

25.

m ÷ 4 = 32

a)

m= 6

b)

m= 28

c)

m= 128

d)

m= 8

26.

w - 8 = -10

a)

2

b)

-2

c)

12

d)

18

27.

Danny planted 5 rows of apple trees. Each row had 12 trees. Each tree had n apples. The birds ate 10 apples off every tree.

a)

5(12)n -10

b)

(12 + 5 -10)n

c)

5(12)n -10

d)

5 x 12(n -10)

28.

2s + 8s

a)

10

b)

10s

c)

10 + s

d)

16s

29.

What is the area of the rectangle?

a)

13 cm

b)

26 cm

c)

40 cm2

d)

45 cm2

30.

What is the area of the rectangle?

a)

18

b)

77

c)

4

d)

36

31.

w + 8 = -10

a)

2

b)

-2

c)

12

d)

-18

32.

2w + 8 = -18

a)

13

b)

-13

c)

12

d)

-18

33.

2w = -18

a)

9

b)

-9

c)

20

d)

-16

34.

solve

a)

110

b)

-27.5

c)

27.5

d)

57

35.

solve

a)

-75

b)

75

c)

3

d)

-3

36.

If there are 5 boys and 7 girls, write the ratio of girls to boys.

a)

57\frac{5}{7}

b)

75\frac{7}{5}

c)

1 251\ \frac{2}{5}

d)

712\frac{7}{12}

37.

A ratio can be written as all the ways below EXCEPT which one?

a)

3=4

b)

3:4

c)


34\frac{3}{4}

d)

3 to 4

38.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
39.
$15 for 5 pairs of socks; $25 for 10 pairs of socks
a)
yes, equivalent
b)
no, not equivalent
40.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
41.

What is the value of x. 35=x30\frac{3}{5}=\frac{x}{30}  

a)

28

b)

18

c)

50

d)

27

42.
Equivalent means....
a)
very important
b)
one
c)
equal to
d)
to solve
43.
Are these ratios equivalent? 
2/3 and 8/12?
a)
No
b)
Yes
44.
Simplify the following:  
-8 + (15 - 3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
45.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
46.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
47.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
48.
-32/8
a)
-4
b)
-5
c)
4
d)
24
49.
70 below zero
a)
positive
b)
negative
50.

An Additive Inverse of a number is...

a)

its opposite value.

b)

adding zero.

c)

adding a place value.

d)

the opposite of multiplication.

51.
What is the letter of the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
52.
What is the distance from 10 to -5 on a number line? 
a)
-15 spaces
b)
10 spaces
c)
15 spaces
d)
-5 spaces
53.
Compare these Integers using the symbols:
<  >   =
-56   ____    -47
a)
<
b)
>
c)
=
d)
54.
Compare these Integers using the symbols:
<  >   =
3  ____  -6
a)
<
b)
>
c)
=
55.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
56.
Compare|-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
57.
Absolute value is always...
a)
negative
b)
positive
c)
an even number
58.
Solve
-4  x  -2   x   -5  =
a)
40
b)
-40
c)
-28
59.

The red portion of this triangular prism is a....

a)

face

b)

vertex

c)

edge

d)

surface area

60.

To know how much cardboard I'd need to make a triangular prism box like this, I'd need to calculate the....

a)

volume

b)

surface area

c)

perimeter

d)

cross section

61.

The top point of this pryamid is called a ...

a)

cross section

b)

face

c)

edge

d)

vertex

62.

To know how much sand it takes to fill the inside of this pyramid I'd calculate the...

a)

vertical angles

b)

adjacent angles

c)

volume

d)

surface area

63.

Each angle in this triangle is...

a)

acute

b)

right

c)

obtuse

d)

straight

64.

The ___________ of the red triangle is 34 cm.

a)

surface area

b)

volume

c)

area

d)

perimeter

65.

What is the AREA of this triangle?

a)

32 cm

b)

48 sq cm

c)

60 sq cm.

d)

96 sq cm

66.

When I fold a piece of paper to make a box, each fold line is called a.....

a)

vertical angle

b)

vertex

c)

edge

d)

face

67.

These two angles show a pair of _____________ angles.

a)

complementary

b)

supplementary

c)

vertical

d)

right

68.

These two angles are not....

a)

complementary

b)

acute

c)

adjacent

69.

In this diagram, the two angles marked a° and b°a\degree\ and\ b\degree  are....

a)

supplementary angles

b)

vertical angles

c)

adjacent angles

d)

obtuse angles

70.

When you put two right angles together to make a set, they make......

a)

a cross section

b)

acute angles

c)

a pair of complementary angles

d)

a pair of supplementary angles

71.
a)
A
b)
B
c)
C
d)
D
72.
What is the perimeter?
a)
12
b)
15
c)
18
d)
3
73.

If a circle has a radius of 10 ft. then which statement is true?

a)

The radius is 5 feet.

b)

The diameter is 5 feet.

c)

The radius is 20 feet.

d)

The diameter is 20 feet.

74.

Find the area of the triangle.

a)

35 in.

b)

70 in.

c)

35 in. sq.

d)

70 in. sq.

75.

Find the volume of this rectangular prism.

a)

90 in. sq.

b)

180 in. sq.

c)

90 in.

d)

180 in.

76.

Find the volume of this triangular prism.

(a)  

77.

True or False: If two angles have the same measure, they are congruent.

a)

True

b)

False

78.

What is the area of this circle?

a)

81.64 in. sq.

b)

530.66 sq. in.

c)

81.64 cubic in.

d)

530.66 cubic in.

79.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
80.
a)
225.72 km2
b)
226.72 km2
c)
234.72 km2
d)
252.72 km2
81.

Find the volume of the solid shown in the figure. Round to the nearest whole cubic meter.

a)

7230 m3

b)

6621 m3

c)

1130 m3

d)

907 m3

82.
Describe the cross section.
a)
triangle
b)
rectangle
c)
trapezoid
d)
square
83.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
84.

What shape will the vertical cross-section of this cylinder be?

a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
85.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
86.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
87.
What is true about the shape and size of similar figures?
a)
Same shape and same size
b)
Same shape and not the same size
c)
Different shape and same size
d)
Different shape and not the same size
88.
The term "congruent" means ...
a)
matching
b)
similar
c)
corresponding
d)
equal
89.
What side corresponds with AB? 
a)
BC
b)
FE
c)
DE
d)
FD
90.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
91.

ΔPQR is similar to ΔSTU\Delta PQR\ is\ similar\ to\ \Delta STU  What side corresponds to side UT?

a)

PQ

b)

RQ

c)

QR

d)

QP

92.

In order for a pair of angels to be complementary: (mark all that apply)

a)

they add up to 180o

b)

they make a straight line on the bottom

c)

they make an L

d)

They add up to 90o

93.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
94.

In order for a pair of angels to be supplementary: (mark all that apply)

a)

they add up to 180o

b)

they make a straight line on the bottom

c)

they make an L

d)

They add up to 90o

95.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
96.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
97.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
98.
What is the measure of the missing angle?
a)
79
b)
89
c)
9
d)
19
99.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
100.
What is the measure of the missing angle?
a)
39
b)
129
c)
119
d)
129
101.
If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?
a)
145
b)
55
c)
60
d)
65
102.
What is the measure of the missing angle?
a)
76
b)
86
c)
166
d)
156
103.
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
a)
180
b)
50
c)
60
d)
80
104.
Are these angles complementary, supplementary or neither?
a)
complementary
b)
supplementary
c)
neither
105.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
106.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
107.
Tell whether the angles are complementary, supplementary or neither.
a)
Complementary
b)
Supplementary 
c)
Neither
108.
a)
x = 56
b)
x = 66
c)
x = 156
d)
x = 166
109.
Find the value of x.
a)
15
b)
30
c)
45
d)
60
110.
∠1 and ∠3 can best be described as what?
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
111.
 What is the measure of angle B?
a)
100°
b)
80°
c)
90°
d)
180°
112.
   What is the measure of angle A?
a)
100°
b)
80°
c)
90°
d)
180°
113.
What is the probability of flipping heads on a coin?
a)

impossible 0%

b)

unlikely 25%

c)

as likely as unlikely 50%

d)

likely 75%

114.
What is the probability of rolling an even number on a die?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
115.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
116.

What is the probability of spinning a blue or red?

a)

unlikely

b)

equally likely

c)

likely

d)

certain

117.
What is the likelihood of spinning orange?
a)
0
b)
1/4
c)
1/2
d)
3/4
118.

In a cookie jar, there are 2 sugar cookies and 10 chocolate chip cookies. If a cookie is selected randomly, what is the probability of picking a sugar cookie?

a)

2/10

b)

2/12

c)

1/2

d)

10/12

e)

0/12

119.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

120.
Probability can be between what two numbers?
a)
10 and 20
b)
0 and 100
c)
0 and 1
d)
All Numbers are possible
121.

Probability is a number that describes the...

a)

relationship between two sets of data.

b)

percent of change.

c)

distance around a figure.

d)

likelihood that an event will occur.

122.

Which event has a probability of zero or impossible to happen?

a)

Rolling a 7 on a 6 sided dice.

b)

Tossing a coin and landing on heads.

c)

Rolling an even number on a dice.

d)

The sun rising in the morning.

123.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
124.

What is the probability of selecting an orange candy from the pictured candy bar?

a)

0%

b)

25%

c)

50%

d)

100%

125.

According to the meteorologist, there is a 80% chance of rain on Monday. This means that the chance of rain is _________.

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

126.

If Mariana spins this spinner, she will MOST likely land on –

a)

orange

b)

blue

c)

red

d)

yellow

127.
What is an outcome?
a)
The result of an experiment
b)
The chance or likelihood of an event
c)
A fraction, decimal, or a percent
d)
An activity that gives various results
128.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
129.

If the probability is 1/6 then it is ___

a)

impossible

b)

certain

c)

likely

d)

unlikely

130.

If the probability is 1, this means that the event is

a)

impossible

b)

not likely to happen

c)

equally likely to happen

d)

certain to happen

131.

What is the probability of flipping this quarter and getting tails?

a)

1

b)

2

c)

1/2

d)

2/2

132.

What is the probability of rolling this number cube and getting a 6?

a)

6/6

b)

1

c)

0

d)

1/6

133.

What is the probability of taking a marble out of the bag without looking and getting a red?

a)

3

b)

3/10

c)

1/3

d)

10

134.

What is the probability of choosing a popsicle at random and getting either a blue or a green?

a)

2

b)

1/3

c)

2/6

d)

6

135.

P(red) =

a)

2

b)

2/12

c)

1/6

d)

12

136.

P(even)=

a)

2,4,6

b)

3

c)

3/6

d)

1/2

137.

P(cube) =

a)

1

b)

1/2

c)

1/6

d)

1/3

138.

P (not green) =

a)

10/12

b)

5/6

c)

10

d)

12

139.

If the probability of drawing a short straw is 3/10 and there are 100 straws in all, how many short straws must there be?

a)

3

b)

10

c)

13

d)

30

140.

The probability of a car having a defect when coming off the assembly line is 3/1000 . Last year 12 cars had defects. How many cars were manufactured in total last year?

a)

1000

b)

2000

c)

3000

d)

4000

141.

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green? Simplify.

a)

1 / 16

b)

1 ⁄ 6

c)

1 ⁄ 8

d)

3 ⁄ 4

142.

When using a 6-sided number cube, what is the probability or rolling a 3, then not rolling a 3, and then rolling an even number? Simplify.

a)

1/12

b)

1/2

c)

5/6

d)

5/72

143.

Find the probability of each set of independent events.


Rolling a six on the first roll of a 1-6 number cube and rolling an odd number on the second roll of the same cube.

Simplify.

a)

1/12

b)

1/6

c)

1/8

d)

1/2

144.

Find the probability of each set of independent events.


Flipping a tail on a coin and spinning NOT a 5 on a spinner with sections of equal area numbered 1-5.

Simplify.

a)

1/2

b)

1/7

c)

2/5

d)

1/10

145.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number greater than 2? Simplify.

a)

1/12

b)

1/4

c)

1/8

d)

1/3

146.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing the letters “A” or "E" when drawing from the bowl? Simplify.

a)

2/49

b)

2/7

c)

3/7

d)

10/49

147.

A number cube is rolled. What is the probability of getting a 6 or a number less than 3? Simplify.

a)

1/3

b)

1/12

c)

1/2

d)

1/18

148.

Sam is fishing in a new pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. What is the probability that he caught a bluegill or a carp? Simplify.

a)

1/40

b)

1/8

c)

3/124

d)

5/16

149.

Lucy has the spinner pictured and spins it. What is the probability that she lands on blue or on yellow? Simplify.

a)

1 / 16

b)

1 ⁄ 2

c)

1 ⁄ 8

d)

3 ⁄ 4

150.

A spinner consists of two A’s, three B’s, and three C’s. What is the probability of spinning a B or C? Simplify.

a)

2/8

b)

2/3

c)

6/8

d)

3/4

151.

In the game that Tony is playing, there is a 1/8 chance the spinner will land on red and a 3/8 chance that the spinner will land on yellow. What is the probability that Tony will NOT spin red, then will spin red?

a)

7/64

b)

7/16

c)

7/8

d)

1

152.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
153.
You roll a six sided die. What is the probability of rolling an even number three times in a row? 
a)
3/100
b)
1/2
c)
1/6
d)
1/8
154.

A quiz contains 5 true or false questions. If you forgot to study and do not know the answer to them and guess, what is the probability of getting them all right? HINT: What is the probability of getting a True or False question correct on a test

a)

1/60

b)

1/32

c)

1/6

d)

1/2

155.
Sarah has two spinners.  Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time.  What is the probability that both spinners will land on a color that is not red?
a)
1/6
b)
7/6
c)
4/7
d)
1/3