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End of year Math Review

Total questions: 60

Worksheet time: 4hrs 3mins

Name
Class
Date
1.
If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.
a)
345.8
b)
523.6
c)
1436
d)
205.1
2.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

179.50 cm3

b)

205.15 cm3

c)

51.29 cm3

d)

1436.03 cm3

3.

Find the volume to the nearest tenth using 3.14 instead of Pi.

a)

78.5 m3

b)

392.5 m3

c)

523.3 m3

d)

62.8 cm3

4.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
5.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
6.
Find the volume of the figure. Round to the nearest tenth.
a)
128.6 units³
b)
1,286.1 units³
c)
401.9 units³
d)
5,144.6 units³
7.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
8.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
9.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
10.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
11.
Which is ordered least to greatest?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
12.
Order 3π, √ 10 , and 3.25 from greatest to least.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
13.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
14.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
15.
Look at the number line.
Which point on the number line best represents √12 ?
a)
D
b)
E
c)
F
d)
G
16.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

17.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

18.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
19.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
20.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
21.

If each square is one mile, how many miles is it from the mall to the movies?

a)

3.6 miles

b)

2.4 miles

c)

3.3 miles

d)

4 miles

22.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
23.

What is the equation of the line of best fit

a)

y= -2x + 10

b)

y= 10x+ 2

c)

y= 10

24.

What is the equation of the line of best fit?

a)

y= 2x

b)

y=3x+7

c)

y= 12x +3\frac{1}{2}x\ +3

d)

y= −12x −3-\frac{1}{2}x\ -3

25.
Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam? 
a)
65
b)
92
c)
70
d)
76
26.

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

a)

12.5x +9 = 43.73

b)

73.43 = 12.5x + 9

c)

12.5 - 9x = 43.73

d)

43.73 = 12.5 + 9x

27.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.
a)
y = 8.5 + 25.5
b)
y = 8.5x + 25.5
c)
y = 8.5 + 25.5x
d)
y = 8.5x + 25.5x
28.
Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.
a)
y = 2x + 6
b)
y = 6x + 2
c)
y = 2x - 6
d)
y = 6x - 2
29.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:


f(x) = 2.75x + 4.25


What does 2.75 represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

30.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
31.
-8y = -3y -15
a)
3
b)
-3
c)
5
d)
-5
32.
8w - 8 = -4x + 16
a)
8
b)
16
c)
24
d)
2
33.
7w + 5 = 3w - 15
a)
5
b)
-2
c)
2
d)
-5
34.
Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies? 
a)
2 miles 
b)
4 miles
c)
.50 mile
d)
-4 miles 
35.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

36.

How do you write 8.317 x 106 in standard form?

(a)  

37.

Convert this number into scientific notation:


0.068

a)

6.9 x 106

b)

6.8 x 10-9

c)

6.8 x 10-2

d)

None of the above

38.

Convert this number into scientific notation:


950,000

a)

9.5 x 105

b)

9.5 x 10-9

c)

9.5 x 102

d)

None of the above

39.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
40.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
41.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
42.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
43.
Try to change the number back to standard form: 3.97  x  10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
44.
a)

Function

b)

Not a Function

45.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the y value 4 repeated
c)
No it isn't a function because the x value 2 is repeated
d)
No it's not a function because the x value 5 has y values of  10 & 12
46.
Which of these tables represent a function?
a)
A
b)
B
c)
C
d)
D
47.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only one output

c)

Inputs have different outputs every time

d)

x-values and y-values

48.

Is this table a function or not a function?

a)

Function

b)

Not a Function

49.
a)
Function
b)
Not a Function
50.
a)
Function
b)
Not a Function
51.
.
a)
Function
b)
Not a Function
52.
What is congruence?
a)
Same size, different shape
b)
Same size, same shape
c)
The way a figure is facing
d)
Flipping over a line
53.
Which of the following are congruence transformations?
a)
Rotations
b)
Translations
c)
Reflections
d)
All Three
54.

Which type of transformation does not change the shape's orientation?

a)

translation

b)

reflection

c)

rotation

d)

none, they all change the shape's orientation

55.
Which transformation(s) maintain congruency but not orientation?
a)
Translation
b)
Translation & Reflection
c)
Rotation
d)
Reflection & Rotation
56.

Which representation of a transformation on a coordinate plane does NOT preserve congruence?

a)

(x,y)→(x+3,y−8)\left(x,y\right)\rightarrow\left(x+3,y-8\right)

b)

(x,y)→(x,−y)\left(x,y\right)\rightarrow\left(x,-y\right)

c)

(x,y)→(−y,x)\left(x,y\right)\rightarrow\left(-y,x\right)

d)

(x,y)→(7x,7y)\left(x,y\right)\rightarrow\left(7x,7y\right)

57.
Which representation of a transformation on a coordinate grid does not preserve orientation?
a)
(x,y) → (2x,2y)
b)
(x,y) → (x+3, y-9)
c)
(x,y) → (-x,y)
d)
(x,y) → (⅓x, ⅓y)
58.

Reflection

a)

Slides

b)

Flips

c)

Turns

59.

Translation

a)

Slides

b)

Flips

c)

Turns

60.

What does the rule f(x,y)=(x−6,y+4)f\left(x,y\right)=\left(x-6,y+4\right)  tell you to do? 

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

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