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NC6 Math Spiral REview Q1,2,&3

Total questions: 113

Worksheet time: 28hrs 15mins

Name
Class
Date
1.

What is the volume of this rectangular prism?

a)

2 cm3

b)

5 cm3

c)

40 cm3

d)

15 cm3

2.

Find the area.

a)

60 ft2

b)

55 ft2

c)

16 ft2

d)

28 ft2

3.

Find the area.

a)

25 in2

b)

70 in2

c)

80 in2

d)

56 in2

4.

What is the area of this parallelogram?

a)

90 in2

b)

150 in2

c)

135 in2

d)

145 in2

5.

What is the area of the parallelogram?

a)

63 cm2

b)

72 cm2

c)

56 cm2

d)

32 cm2

6.

What is the area of the parallelogram above?

a)

13 cm2

b)

28.5 cm2

c)

45.6 cm2

d)

40 cm2

7.
What is the area of this shape?
a)
6 m2
b)
12 m2
c)
3 m2
d)
2.666 m2
8.

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

9.
The distance around an object is called the 
a)
area
b)
perimeter
c)
volume
d)
circumference
10.
What does it mean to be "parallel"? 
a)

lines that intersect creating 90 degree angles

b)
curved lines
c)

lines that are the same distance apart that never intersect

d)

lines that cross at two points

11.

What does it mean to be "perpendicular"? 

a)

lines that intersect creating 90 degree angles

b)
curved lines
c)

lines that are the same distance apart that never intersect

d)

lines that cross at two points

12.

What is the formula to find the area of a parallelogram?

a)

A = lw

b)

A = bw

c)

A = bh

d)

A = lh

13.

Emma wants to create a rectangular garden plot in her backyard. She finds a parallelogram-shaped piece of land that measures 8 meters across one side and 5 meters perpendicular to that side. What is the area of the garden plot she can use for planting flowers?

(a)  

14.

A bookstore has a display shelf that is shaped like a parallelogram. The length of the shelf is 10 feet, and the height (perpendicular distance from the shelf to the floor) is 4 feet. What is the total area of the shelf where books can be displayed?

(a)  

15.

Noah is laying out a parallelogram-shaped picnic blanket in the park. The blanket has a base of 12 feet and a height of 7 feet. What is the area of the picnic blanket?

(a)  

16.
The area of a paralleogram is 65cm2. If the base of this  paralleogram is 5 cm find the length of its base.
a)
12 cm
b)
14 cm
c)
13 cm
d)
15 cm
17.

What is the volume of this rectangular prism?

a)

2 cm3

b)

5 cm3

c)

40 cm3

d)

15 cm3

18.

Find the volume.

a)

16 m3

b)

48 m3

c)

60 m3

d)

64 1/4 m3

19.

What is the volume of this prism ?

a)

3/8 in2

b)

1/8 in 3

c)

1/16 in 3

d)

3/16 in 3

20.

What is the volume of this rectangular prism?

(a)  

21.
Which formula can be used to find the volume of a rectangular prism?
a)
length x width
b)
length x width x height
c)
height x length
d)
length + width + height
22.

What is the volume, in cubic feet, of the right rectangular prism shown by the net?

a)

336 or 112ft3\frac{3}{36}\ or\ \frac{1}{12}ft^3  

b)

39 or 13 ft3\frac{3}{9}\ or\ \frac{1}{3}\ ft^3  

c)

510 or 12  ft3\frac{5}{10}\ or\ \frac{1}{2\ }\ ft^3  

23.
Find the area of this triangle.
a)
12 in2
b)
22 in2
c)
18 in2
d)
24 in2
24.
Find the area
a)
72 mm squared
b)
17 mm squared
c)
34 mm squared
d)
36 mm squared
25.

How do you find the area of a triangle?

a)

Area= 1/2(bh)

b)

Area= 1/2(lwh)

c)

Area= bh

d)

Area= lw

26.

The base and height of a triangle are always _________.

a)

Parallel

b)

Polygons

c)

five

d)

Perpendicular

27.

What is the area of this right triangle?

a)

60 square kilometers

b)

17 kilometers

c)

30 square kilometers

d)

30 meters

28.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

29.

A scalene triangle has _____

a)

3 different angle names

b)

no congruent sides

c)

all sides congruent

d)

3 congruent angles

30.

Triangles can be classified by what two things?

a)

Side length and angle measure

b)

Number of Vertices and number of sides

c)

Angle color and side height

d)

Number of points and number of lines

31.

What are perpendicular lines?

a)

Lines that intersect at one point

b)

Lines that intersect and form a 9o° angle

c)

Lines that do not intersect

d)

Lines that cross the x and y axis

32.

Match the correct formula to the following geometric figures:

a)

area formula for rectangle

1.

LXW

b)

area formula for triangle

2.

1/2 (BXH) or

BXH ÷\div 2

c)

area formula for parallelogram

3.

BXH

d)

volume formula of a rectangular prism

4.

LXWXH

33.
Find the area?
a)
15 in²
b)
30 in²
c)
15 in
d)
 30 in
34.

What is the area of the trapezoid?

(Hint: Break the shape into parts with formulas you know)

a)

18 square inches

b)

24 square inches

c)

12 square inches

d)

15 square inches

35.

Find the area of the parallelogram above

a)

14.5 ft2

b)

48.5 ft2

c)

52 ft2

d)

7.3 ft2

36.
Find the area of this triangle.
a)
12 in2
b)
22 in2
c)
18 in2
d)
24 in2
37.

Match the correct formula to the following geometric figures:

a)

area formula for rectangle

1.

LXW

b)

area formula for triangle

2.

1/2 (BXH) or

BXH ÷\div 2

c)

area formula for parallelogram

3.

BXH

d)

volume formula of a rectangular prism

4.

LXWXH

38.

Match the following.

a)
1.

Square Pyramid

b)
2.

Triangular Pyramid

c)
3.

Rectangular Pyramid

39.

Match the following.

a)
1.

Rectangular prism

b)
2.

Triangular Prism

c)
3.

Cube

40.

Match the following

a)
1.

Rectangular Prism

b)
2.

Triangular Prism

c)
3.

Triangular Pyramid

d)
4.

Square Pyramid

41.

Evaluate

14(12 x +4)\frac{1}{4}\left(12\ x\ +4\right)  if x = 3

a)

194\frac{19}{4}  

b)

10

c)

13

d)

21

42.

Groot and a group of friends decided to get tickets to see one of their favorite singers at a nearby concert venue.  Pavilion seats are $60 per ticket, while lawn seats are $35 per ticket.  There is also a premier parking pass offered that is $25.

Groot and his friends bought pavilion seats and one parking pass.

Which expression represents the total cost of their purchase (before tax)?

a)

35t+2535t+25  

b)

60t+2560t+25  

c)

60+t+2560+t+25  

d)

35+t+2535+t+25  

43.

Cups are sold in packages of 25, and plates come in packages of 40. If you want to have the same number of each item for a party, what is the least number of each item you will need?

a)

300

b)

200

c)

500

d)

100

44.

Groot had 16 red roses and 24 yellow sunflowers.  He wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that he can make?

a)
4
b)
2
c)
48
d)
8
45.

Groot buys a game for $7.89 and batteries for $5.49.  He pays with a twenty-dollar bill; how much change will he receive? 

a)

$7.72

b)

$33.38

c)

$13.38

d)

$6.62

46.

Below is the length of three running trails at three parks.


The trail at Lakewood Park is 9.84 miles.

The trail at Kiest Park is 6.7 miles

The trail at Springfield Park is 13.09 miles.


What is the difference between the length of Springfield Park and Lakewood Park?

a)

6.75 miles

b)

3.25 miles

c)

29.63 miles

d)

7.65 miles

47.

Mr. Murphy bought 3.4 pounds of chicken that costs $3.79 per pound. How much did he spend? (Round answer to nearest cent)

a)

$11.48

b)

$12.89

c)

$13.00

d)

$10.79

48.

What is the algebraic expression for the phrase: twice a number decreased by 5?

a)

2n + 5

b)

2n - 5

c)

5 - 2n

d)

5n - 2

49.

Evaluate the expression (2332)4(2^3\cdot3^2)-4 .

a)

12

b)

68

c)

31

d)

35

50.

Find the surface area of the cube in square cm.

a)

216

b)

36

c)

144

d)

180

51.

Groot pays $4.20 for new pencils. If they cost $0.35 each, how many pencils does Groot buy?

(a)  

52.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

53.

At a pancake lunch, 2 kids pick fruit syrup for each 4 kids picking maple syrup. How many kids pick maple syrup if there are 24 students having pancakes?

a)

16

b)

8

c)

12

d)

10

54.

Mrs. Corbeil always makes 1 sage candle after she makes 3 pine candles. How many sage candles will she have after making 40 candles?

a)

30

b)

13.3

c)

10

d)

12

55.
Sarah went into the local Dollar Store because they have so many deals!! The following deal that she was debating is 4 bars of soap that cost $5. What would 8 bars cost her?
a)
$10
b)
$11
c)
$12
d)
$13
56.

Using the graph shown, the ratio of money saved to money spent is?

a)

1/3

b)

3 : 1

c)

2 to 3

57.

The local library has a Children's Section with 2 picture books for every 3 chapter books. If there are 500 books in the Children's Section, how many books are chapter books?

a)

200 chapter books

b)

300 chapter books

c)

333 chapter books

d)

100 chapter books

58.

A local movie theater has 24 screens. In the summer the ratio of action films to other films is 2 to 1. How many screens are showing action films?

a)

8 action films

b)

10 action films

c)

16 action films

d)

12 action films

59.

Jenna and Becky are selling cookies door-to-door. Jenna sold 8 boxes of cookies for every 3 boxes Becky sold. Combined, the sold a total of 385 boxes of cookies. How many boxes of cookies did each girl sell?

a)

Jenna sold 180 and Becky sold 205

b)

Jenna sold 285 and Becky sold 100

c)

Jenna sold 300 and Becky sold 85

d)

Jenna sold 280 and Becky sold 105

60.

A steakhouse has a server to cook ratio of 5 : 2. The total number of servers and cooks is 42. How many servers does the steakhouse employ?

a)

105 servers

b)

12 servers

c)

30 servers

d)

6 servers

61.

At a preschool, there is a ratio of 3 boys to every 4 girls. If there are 245 preschoolers enrolled, how many are boys?

a)

105

b)

205

c)

140

d)

183

62.
What number would go in place of the x in the ratio table?
a)
24
b)
18
c)
27
d)
21
63.
Jane smiles 15 times per 5 minutes.  How many times does she smile per 1 minute?
a)
5
b)
3
c)
18
d)
12
64.

For every $5 Carl spends on movies, he spends $15 on video games. Last month, she spent $60 on video games. How much did he spend on movies?

a)

$50

b)

$30

c)

$20

d)

$25

65.

A larger piece of wood that measures 8 and 1/2  feet long will be cut into smaller pieces that measure 1/4 foot each. How many smaller pieces of wood can be cut from the larger piece of wood? 

a)
4
b)
17
c)
32
d)
34
66.

Which is the quotient 221.52  ÷\div  7.8

a)

2.84

b)

28.6

c)

28.4

d)

2.86

67.

A wall is 9.5 feet tall and 13.5 feet wide. What is the total area of the wall in square feet?

a)

128.25

b)

117.5

c)

130.55

d)

125.05

68.

While cleaning his room, Paul found 7 cents on his desk, 98 cents under his bed, and 2 dollars and 4 cents in his closet. What was the total amount of money Paul found?

a)

$2.09

b)

$3.09

c)

$3.72

d)

$4.08

69.
Abby buys a game for $7.89 and batteries for $5.49.  She pays with a twenty dollar bill, how much change will she receive? 
a)

$7.72

b)

$33.38

c)

$13.38

d)

$6.62

70.

Identify the equivalent expression:


2 less than the square of c

a)

2c-2

b)

2-2c

c)

2-c2

d)

c2 -2

71.

What is the value of this expression when "a = 3"?

3a2  (a1)3a^2\ -\ \left(a-1\right)   

a)

79

b)

16

c)

25

d)

15

72.
(8÷2)x(62-33)
a)
36
b)
108
c)
30
d)
100
73.

The store was selling 4 chocolate bars for $2.00. How much would one chocolate bar cost?

a)

$1.00 per bar

b)

$2.00 per bar

c)

$0.50 per bar

d)

$0.25 per bar

74.
Jennifer has a coupon for 25% off her entire meal of $17.89. What is the discount?
a)
$13.42
b)
$4.47
c)
$4.48
d)
$0.44
75.

Find 78% of 160.

a)

128.4

b)

124.8

c)

124

d)

128

76.

Madelyn made 45% of her shots at a basketball game. If she attempted 20 shots, how many did she actually make?

a)

9

b)

10

c)

0.9

d)

90

77.

Lara divided 3/4 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/8 of a liter into each bottle. How many smaller bottles did Lara fill?

(a)  

78.

14÷12\frac{1}{4}\div\frac{1}{2}  

a)

26\frac{2}{6}  

b)

18\frac{1}{8}  

c)

35\frac{3}{5}  

d)

24\frac{2}{4}  

79.

Solve the problem below:

7 ÷ 24 =7\ \div\ \frac{2}{4}\ =

a)

14

b)

7

c)

2

d)

714\frac{7}{14}

80.

3 12 ÷ 12 = 3\ \frac{1}{2}\ \div\ \frac{1}{2}\ =\  

(a)  

81.

810 ÷ 15 =\frac{8}{10}\ \div\ \frac{1}{5}\ =  

(a)  

82.

Solve the following equation  15÷36\frac{1}{5}\div\frac{3}{6}  .

a)

5345\frac{3}{4}  

b)

11  

c)

25\frac{2}{5}  

83.

Solve the following equation  38÷14\frac{3}{8}\div\frac{1}{4}  .

a)

1121\frac{1}{2}  

b)

23\frac{2}{3}  

c)

2372\frac{3}{7}  

84.

Match the following fraction with the reciprocal

a)

1/6

1.

6

b)

3/4

2.

4/3

c)

2/7

3.

7/2

d)

9/10

4.

10/9

e)

3/8

5.

8/3

85.

Eliza is building a fence that is 1/4 Mile. She plans to build it in 3 days. How long should the section of fence be that Eliza builds each day?

a)

1/7 mile

b)

3/4 mile

c)

1/12 mile

d)

12 miles

86.

George has ½ gallon of blue paint. He needs to paint 8 chairs. How much paint can George use on each chair?

a)

16 gallons

b)

4 gallons

c)

1/4 gallon

d)

1/16 gallon

87.

25÷25\frac{2}{5}\div\frac{2}{5}  

a)

410\frac{4}{10}  

b)

25\frac{2}{5}  

c)

1

d)

5

88.

Mia pays $3.15 for new red pencils. If they cost $0.45 each, how many red pencils does Mia buy?

(a)  

89.

Which is the quotient 221.52  ÷\div  7.8

a)

2.84

b)

28.6

c)

28.4

d)

2.86

90.

Solve this equation.

1.8 ÷ 6 =

a)

3

b)

0.3

c)

0.03

d)

0.003

91.

Solve this equation.

1.5 ÷ 0.3 =

a)

5

b)

0.5

c)

0.05

d)

0.005

92.

Sharon spent $3.45 on sunflower seeds. The price of sunflower seeds is $0.89 per pound. How many pounds of sunflower seeds did Sharon buy?

a)

3.07 pounds

b)

3.88 pounds

c)

4.15 pounds

d)

4.34 pounds

93.

How many 0.4-liter glasses of water does it take to fill up a 3.4-liter pitcher?

a)

1.36 glasses

b)

8.2 glasses

c)

3.8 glasses

d)

8.5 glasses

94.

Michelle’s family drove 272.48 miles. Michelle calculated that they drove 26.2 miles per gallon of gas. How many gallons of gas did the car use?

a)

10 gallons

b)

10.4 gallons

c)

11.4 gallons

d)

14 gallons

95.

25.2 ÷\div  2.1

(a)  

96.

Find the quotient.

a)

1 141\ \frac{1}{4}

b)

11

c)

1 151\ \frac{1}{5}

d)

1 271\ \frac{2}{7}

97.
2/5 divided by 3/4
a)
8/15
b)
6/20
c)
3/10
d)
3/20
98.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
99.
Solve.
a)
8 / 9
b)
1/5
c)
1
d)
4/5
100.

Solve the following equation  38÷14\frac{3}{8}\div\frac{1}{4}  .

a)

1121\frac{1}{2}  

b)

23\frac{2}{3}  

c)

2372\frac{3}{7}  

101.
A larger piece of wood that measures 8 1/2  feet long will be cut into smaller pieces that measure 1/4 foot each. How many smaller pieces of wood can be cut from the larger piece of wood? 
a)
4
b)
17
c)
32
d)
34
102.
Divide these fractions
a)
12  1/2
b)
54 / 4
c)
13  1/2
d)
9 / 24
103.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
104.

Evelle bought 3.4 pounds of apples. The apples are $0.88 per pound. How much did Evelle pay for the apples?

a)

$3.00

b)

$2.99

c)

$4.28

d)

$1.22

105.
35.24 X 2.6 =
a)
99.524
b)
42.678
c)
91.624
d)
48.951
106.

Celeste bought 4.6m of fabric that cost $3.57 per meter. What was her total cost?

a)

$4.02

b)

$16.42

c)

$8.17

d)

$1.03

107.
 Jackie rode her bike around Capaha Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
a)
3.41 miles
b)
8.54 miles
c)
34.16 miles
d)
341.6 miles
108.

5.78 x 3.52

a)

0.23456

b)

2.3456

c)

2.3456

d)

20.3456

109.

Groot bought 114.6m of scrap metal that cost $3.57 per meter. What was his total cost?

a)

$1503

b)

$409.122

c)

$118.17

d)

$40.91

110.

Evan can read 2.3 pages per minute. How many pages will he read over 10 minutes?

(a)  

111.

A wall is 9.5 feet tall and 13.5 feet wide. What is the total area of the wall in square feet?

a)

128.25

b)

117.5

c)

130.55

d)

125.05

112.

Mr. Murphy bought 3.4 pounds of chicken that costs $3.79 per pound. How much did he spend? (Round answer to nearest cent)

a)

$11.48

b)

$12.89

c)

$13.00

d)

$10.79

113.

How much would it cost to buy 10.5 gallons of gas, if it costs $2.89 per gallon? (round answer to nearest cent)

a)

$28.90

b)

$30.35

c)

$31.69

d)

$32.21