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Math 7 End of Year Review (KD)

Total questions: 88

Worksheet time: 7hrs 20mins

Name
Class
Date
1.

No Calculators!!!

What is the result of the expression?

34(12+13)\frac{3}{4}\cdot\left(\frac{1}{2}+\frac{1}{3}\right)

a)

58\frac{5}{8}

b)

23\frac{2}{3}

c)

712\frac{7}{12}

d)

12\frac{1}{2}

2.

No Calculators!!!

Evaluate the expression 1.50.7(0.3)1.5-0.7\left(0.3\right) .

a)

1.29

b)

1.41

c)

1.35

d)

1.23

3.
Simplify the following:  
-8 + (15 - 3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
4.

No Calculators!!!

Solve:

a)
14
b)
4.96
c)
10
5.

 

No Calculators!!!

Evaluate  a÷ba\div-b    if a = 6 and b =  14-\frac{1}{4}  

a)

64-\frac{6}{4}  

b)

64\frac{6}{4}  

c)

-24

d)

24

6.
Evaluate the expression when
x =5    and   z = 4
z2  - 2x
a)
6
b)
2
c)
17
d)
26
7.

The temperature dropped 3 degrees every hour for six hours.  

Express an an INTEGER how the temperature changed.

a)
-18
b)
9
c)
18
d)
-9
8.

At 3:00 A.M., the temperature was −12℉. At 11 A.M., the temperature was 35℉. What integer represents the change in temperature?

a)

-47

b)

23

c)

-23

d)

47

9.

2(y4)=162(y-4)=16

a)

10

b)

12

c)

4

d)

48

10.

5x1=16-5x-1=-16  

a)

x=3x=3  

b)

x=4x=-4  

c)

x=2x=2  

d)

x=5x=5  

11.


x5+7=9\frac{x}{5}+7=9  

a)

x=5x=5  

b)

x=7x=7  

c)

x=9x=9  

d)

x=10x=10  

12.
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
13.

Use the formula d=rt to solve. If a car travels 120 miles in 2 hours, what is the rate of the car?

a)

30 miles per hour

b)

90 miles per hour

c)

45 miles per hour

d)

60 miles per hour

14.

Use the formula F=1.8C+32 to solve. Convert 20 degrees Celsius to Fahrenheit.

a)

50

b)

32

c)

68

d)

75

15.

Name the vertex of the angle.

a)

S

b)

R

c)

Q

d)

S, R, and Q are vertices

16.

Choose the correct name for the angle marked 6.\angle6.  

a)

KVL\angle KVL  

b)

LKV\angle LKV  

c)

V\angle V  

d)

JKV\angle JKV  

17.

What kind of angle is \angle  AOB?

a)

acute

b)

obtuse

c)

reflex

d)

right

18.
What types of lines does this rectangle have?
a)
parallel lines
b)
perpendicular lines
c)
both parallel and perpendicular lines
d)
neither parallel nor perpendicular lines
19.

Match the following

a)

1.

ABC\angle ABC

b)

2.

CAB\angle CAB

c)

3.

BCA\angle BCA

d)

4.

ΔABC\Delta ABC

20.

Match the following

a)

1.

AB\overline{AB}

b)

2.

AB\overrightarrow{AB}

c)

3.

BA\overrightarrow{BA}

21.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
22.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
right scalene
23.

Find mCm\angle C  

a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
24.
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
25.

If the  m1 = 57°,m\angle1\ =\ 57\degree,  find the measure of  6.\angle6.  

a)

123°123\degree  

b)

57°57\degree  

c)

180°180\degree  

d)

Cannot be determined

26.

WHAT IS THE VALUE OF X?

a)
16
b)
11.4
c)
d)
-16
27.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

28.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

29.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

30.

Which of the following angles would NOT be congruent to the measure of 7\angle7 ?

a)

2\angle2  

b)

3\angle3  

c)

6\angle6  

d)

8\angle8  

31.

Which of the following is an example of corresponding angles?

a)

8 and 4\angle8\ and\ \angle4  

b)

5 and 7\angle5\ and\ \angle7  

c)

1 and 7\angle1\ and\ \angle7  

d)

3 and 5\angle3\ and\ \angle5  

32.
a)
41°
b)
65°
c)
102°
d)
115°
33.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
34.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
35.

Name the relationship between a and b: complementary, supplementary, or neither.

a)
Complementary
b)
Supplementary
c)

Neither

36.

Solve for x

a)

20

b)

25

c)

120

d)

180

37.

An angle measures 14°. What is the measure of the complementary angle?

a)

76°

b)

166°

c)

14°

d)

68°

38.
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
39.
Can the following side measures form a triangle?
  3, 5, 8 
a)
Yes
b)
No
40.

Which of the following measures form a triangle?

a)

1, 1, 3

b)

5, 5, 12

c)

7, 9, 16

d)

6, 5, 6

41.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
10,610,6  

a)

4<x<164<x<16  

b)

5<x<155<x<15  

c)

6<x<156<x<15  

d)

4<x<144<x<14  

42.

Ms. Dart has a rectangular garden that has the perimeter of 30 feet. If two of it's sides are 10 feet in length each, how wide is the garden?

a)

10 feet

b)

5 feet

c)

40 feet

d)

7 feet

43.
A square garden has a perimeter of 100 feet.  What is the length of each side?
a)
25 feet
b)
50 feet
c)
400 feet
d)
100 feet
44.
What is the perimeter of this figure
a)
22
b)
21
c)
18
d)
20
45.
Find the perimeter
a)
25 cm
b)
35 cm
c)
50 cm
d)
100 cm
46.
The radius is 8 inches.  What is the circumference?
a)
50.24 inches
b)
25.12 inches
c)
12.56 inches
d)
200.96 inches
47.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
48.
A circle pool has a radius of 7.5 ft. Monica wants to know how many ft of a pool cover she needs to buy?
a)
23.55 ft²
b)
176.63 ft²
c)
47.1 ft²
d)
706.5 ft²
49.

What is the area of this triangle?

a)

112 ft2

b)

224 ft2

c)

196 ft2

d)

98 ft2

50.

What is the area?

a)

60 in. squared

b)

15 in. squared

c)

50 in. squared

d)

16 in. squared

51.

What is the area?

a)

28 units squared

b)

14 units squared

c)

7 units squared

d)

56 units squared

52.

Find the area of the figure.

a)

28

b)

16

c)

49

d)

56

53.

Decompose this irregular figure and find its combined area.

a)

36 cm2

b)

42 cm2

c)

144 cm2

d)

15 cm2

54.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
55.
Calculate the volume. 
a)
 90 cm³
b)
150 cm³
c)
180 cm³
56.
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
57.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
58.
A cube's side length measures 15 inches.  What is the surface are of the cube?
a)
225 in2
b)
1350 in2
c)
3375 in2
d)
1125 in2
59.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
60.
a)
Cylinder
b)
Cube 
c)
Triangular Prism 
d)
Cone 
61.
Which figure will this net make?
a)
Rectangular Prism 
b)
Triangular Prism
c)
Triangular Pyramid 
d)
Cube
62.
Which net will make a triangular pyramid?
a)
Net A
b)
Net B
c)
Net C
63.

What shape is the cross section that is made when slicing parallel to the base?

a)

Elipse

b)

Triangle

c)

Circle

d)

Square

64.

What shape is the cross section that is made when slicing perpendicular to the bottom?

a)

Circle

b)

Square

c)

Rectangle

d)

Triangle

65.

Solving ratio problem: If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

a)

4:5

b)

2:3

c)

3:2

d)

1:2

66.

Identifying proportional relationships: If 5 apples cost $2.50, how much will 8 apples cost?

a)

$3.00

b)

$4.00

c)

$6.50

d)

$5.00

67.

Calculating percentages: What is 20% of 150?

a)

30

b)

25

c)

50

d)

40

68.

Calculating percentages: If a shirt originally costs $40 and is now on sale for 25% off, what is the sale price?

a)

$20

b)

$35

c)

$30

d)

$25

69.

Applying ratios and proportions in real-life scenarios: A map scale is 1 inch represents 10 miles. If two cities are 3.5 inches apart on the map, how far are they from each other in real life?

a)

20 miles

b)

35 miles

c)

100 miles

d)

3.5 miles

70.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 
a)
72 in
b)
60 in
c)
62 in
d)
80 in
71.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
72.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
73.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
74.
What percent of 50 is 20?
a)
40%
b)
25%
c)
2.5%
d)
4%
75.

In the Central City Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars did not finish the race?

a)

20%

b)

40%

c)

60%

d)

80%

76.
Find the tip amount on a $20 lunch if you leave a 20% tip.
a)
$ .40
b)
$ 2.00
c)
$ 4
d)
$ 24
77.
This morning, Albert took a history test. He got 76 problems right and 19 problems wrong. What percentage did Albert get right?
a)
80%
b)
75%
c)
25%
78.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 1/2x

b)

x = 1/2y

c)

y = 2x

d)

k = x

79.

What is the constant of proportionality, k, that relates y to x?

a)
1/3
b)
3
c)
5
d)
10
80.

You are buying a sweatshirt that was $50 last week. For some reason, the store is selling it for $60 this week. What is the percent increase for the price of the sweatshirt?

a)
Increase 20%
b)
Increase 16.67%
c)
Increase $10
d)
Decrease $10
81.
Ben has a basket of 5 red balls, 3 yellow balls, and 2 green balls. What is the probability that the probability he randomly chooses will be red?
a)
1/2
b)
1/5
c)
1/10
d)
5/8
82.

The spinner is spun two times. Determine the probability of landing on red the first spin and on green the second spin .

a)

1/9

b)

1/10

c)

0

d)

1/12

83.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
84.
6!
a)
6
b)
46656
c)
720
d)
21
85.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
86.
9x + 3 < 21
a)
x > 2
b)
x < 2
c)
x > 9
d)
x < 9
87.
-7x + 15 ≥ -20
a)
x ≥ -5
b)
x ≤ -5
c)
x ≥ 5
d)
x ≤ 5
88.
a)
x > 2
b)
x > 5
c)
x >15
d)
x > 50