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Worksheets

Hard and Long Math questions

Total questions: 101

Worksheet time: 5hrs 5mins

Name
Class
Date
1.

5+3

a)

8.2

b)

8

c)

2

d)

12

2.

Calculate the value of 2y32y^3  if y=1y=-1  

(a)  

3.

Calculate the value of 2a22a^2  if a=3a=3  

(a)  

4.

How many terms are there?

2a+3b62a+3b-6  

(a)  

5.

Simplify 3m + 6m

(a)  

6.

Convert the phrase into mathematical expression:

"the difference between 23 and twice a number"

a)

2x - 23

b)

(23 - 2)x

c)

23 + 2x

d)

23 - 2x

7.
What is the value of x?
3x + 4 when x = -2
a)
10
b)
2
c)
-2
d)
4
8.

Simplify:

21x+x=21x+x=  

a)

22x

b)

21xx

c)

21x2

d)

22x2

9.
If x = -7, what does -2⋅x equal?
a)
-9
b)
-14
c)
5
d)
14
10.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
11.

The price of a book and two pens is x dollars.

If the pen costs $0.35 , what is the cost of a book?

a)

x + 0.35

b)

x + 0.70

c)

x - 0.70

d)

x - 0.35

12.

Simplify 2a+3ba+5b2a+3b-a+5b  

a)

5a+8b5a+8b  

b)

a2ba-2b  

c)

a+8ba+8b  

d)

3a+8b3a+8b  

13.
7g + 5 + 6g  - 3
a)
13g - 3
b)
12g + 5
c)
13g + 2
d)
13g - 2
14.

If a=2, b=3a=-2,\ b=3  calculate the value of 2a+3b2a+3b  

a)

55  

b)

44   

c)

1111   

d)

1010  

15.

If a=1, b=2 and c=2a=1,\ b=2\ and\ c=-2  calculate the value of abcabc  

a)

 -4

b)

44   

c)

2222    

d)

22-22   

16.

What is the expression that represents

"5 is add to y and then the result is doubled"

a)

y+5×2y+5\times2  

b)

2(y+5)2\left(y+5\right)  

c)

(y+5)2\left(y+5\right)2  

d)

(y+5)×2\left(y+5\right)\times2  

17.

Simplify 8xy+xy+2yx+x8xy+xy+2yx+x  

a)

9xy+2yx+x9xy+2yx+x  

b)

11x2y2+x11x^2y^2+x  

c)

11xy+x11xy+x  

d)

12x2y12x^2y  

18.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
19.

simplify

x24x+3x2+7+x=x^2-4x+3x^2+7+x=  

a)

4x24x+74x^2-4x+7

b)

3x23x+73x^2-3x+7

c)

4x23x+74x^2-3x+7

d)

3x24x+73x^2-4x+7

20.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
21.
3r + 2e; r = 3  e = 2
a)
15
b)
13
c)
54
d)
12
22.

Which of the following numbers are prime?

a)

2

b)

3

c)

5

d)

9

23.

What is sign of division

a)
b)
c)
d)
24.

A collection of objects in an array that are arranged vertically

a)

row

b)

column

c)

sideways

d)

Not here

25.
For two weeks, Kimberly must walk her neighbor's dog two times a day. Kimberly's neighbor will pay her $15 for each day. How much money will Kimberly make? 
a)

$310

b)

$180

c)

$240

d)

$210 

26.

Frisco ran 4 laps in the backyard.

Jack ran twice as far as Frisco.

How far did Jack run?

a)

6

b)

8

c)

4

d)

2

27.
68 is the ___ of the problem
a)
dividend
b)
quotient
c)
divisor
28.

Tyler has 18 pieces of candy corn. He is going to share his candy corn equally with 2 friends. How many candy corn will Tyler and his 2 friends get if he shares them equally? (*Hint: Make sure to include Tyler*)

a)

18 - 2 = 16

b)

18 ÷ 3 = 6

c)

18 + 2 = 20

d)

18 ÷ 2 = 9

29.

Brooke has a bookcase in her room. The bookcase has 5 shelves. On each shelf there are 8 books. How many total books are in the bookcase?

a)

40 books

b)

13 books

c)

5 books

d)

8 books

30.

Made up of rows and columns. Can be used to solve repeated addition or multiplication questions.

a)

array

b)

happy

c)

away

d)

Oh Hey!

31.

Counting by the same number over and over

a)

multiply

b)

multitude

c)

multiple

d)

not here

32.

A town needs to buy 306 hamburger buns for their big summer barbecue. The hamburger buns come in packages of 6. How many packages should the town buy?

a)

47 and remainder = 3

b)

51

c)

10

33.

John has 8 cabinets, he splits 139 papers between 7 cabinets. He put the remaining papers in the 8th cabinet. How many papers did he put in the 8th cabinet?

a)

19

b)

20

c)

6

34.
27 X 3
a)

82

b)

80

c)

81

d)

67

35.
46 is a multiple of 3.
a)
True
b)
False
36.

There is 1 spoon in each bowl. There are 33 bowls. How many bowls are there in total?

a)

34 bowls

b)

1 bowl

c)

3 bowls

d)

33 bowls

37.
There are 45 students in the 7th grade band class.  The director wants to put them into rows of 5 students.  How many rows will he need?
a)
10
b)
5
c)
3
d)
9
38.

Groups that have the same number of objects in them.

a)

3rd grade

b)

My brother's toybox

c)

equal groups

d)

rows & columns

39.

A collection of objects arranged horizontally

a)

sideways

b)

column

c)

upwards

d)

row

40.

Joe had 25 trophies. He put an equal number of trophies on each of his 5 shelves. How many trophies were on each shelf?

a)

5 trophies

b)

20 trophies

c)

30 trophies

d)

25 trophies

41.

Brittany bought three cups of coffee. Each cup cost 4 dollars. How much did she spend on coffee?

a)

10 dollars

b)

7 dollars

c)

12 dollars

d)

8 dollars

42.

What is the volume of this prism?

a)

18 cm3

b)

6 cm3

c)

9 cm3

d)

8 cm3

43.
What is the volume of this prism?
a)
24 cubic cm
b)
240 cubic cm
c)
60 cubic cm
44.
A tetrahedron is a pyramid with a triangular base. Find the volume of the tetrahedron.
a)
22 cubic inches
b)
33 cubic inches
c)
66 cubic inches
d)
44 cubic inches
45.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. 
a)
16.4 cm3
b)
31.7 cm3
c)
31.4 cm3
d)
22.0 cm3
46.

Find the volume.

a)

24 u3

b)

28 u3

c)

12 u3

d)

20 u3

47.
Find the volume of the 3Dimensional shape
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
48.
Find the volume of the cylinder.
a)
282.6
b)
516.2
c)
133
d)
214
49.

A can of diced tomatoes that is 4.75 inches tall can hold approximately 33.5 cubic inches of diced tomatoes. What would be the dimension of its radius?

a)

r = 2.25 in

b)

r = 1.3 in

c)

r = 1.5 in

d)

r = 1.7 in

50.
a)

15 m3

b)

17 m3

c)

22 m3

d)

72 m3

51.
Find the Volume
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
52.
Find the volume of the cone. Round your answers to the nearest tenth.
a)
127.3 yd3
b)
347.6 yd3
c)
287.7 yd3
d)
147.7 yd3
53.
What is the volume of the composite solid?
a)
301.6 cm3
b)
502.7 cm3
c)
268.1 cm3
d)
167.6 cm3
54.
a)

1120 ft 3

b)

600 ft 3

c)

560 ft 3

d)

64 ft 3

55.

What is the volume of this prism?

a)

20 ft3

b)

8 ft3

c)

40 ft3

d)

11 ft3

56.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
57.
What is the volume of this prism?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
58.

What is the volume of this prism?

a)

2 in3

b)

12 in3

c)

13 in3

d)

9 in3

59.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
60.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
61.
Find the volume of the cone. Round your answers to the nearest tenth. 
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
62.

What is the circumference?

a)

50.24

b)

96

c)

24

d)

16

63.
Find the volume of the prism. 
a)
84 ft3
b)
42 ft3
c)
140 ft3
d)
70 ft3
64.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
65.
Find the area of the circle. 
a)
314 m2
b)
1256 m2
c)
62.8 m2
d)
23.1 m2
66.
Classify the pair of angles. 
a)
Complementary Angles
b)
Supplementary Angles
c)
Neither
67.

What is the circumference?

a)

36

b)

18π

c)

108π

d)

36π

68.
What is the value of x?
a)
40o
b)
65o
c)
180o
d)
55o
69.
What is the area of the triangle?
a)
252 cm2
b)
120 cm2
c)
240 cm2
d)
126 cm2
70.
Find the area of the shaded region.
a)
334 km2
b)
345 km2
c)
344 km2
d)
433 km2
71.
Classify the triangle by its angles.
a)
Acute Triangle
b)
Obtuse Triangle
c)
Right Triangle
d)
Equilateral Triangle
72.
Find the actual base of the figure represented by the scale drawing.
a)
42
b)
72
c)
228
d)
144
73.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
74.
What type of angle is shown?
a)
Acute Angle
b)
Obtuse Angle
c)
Right Angle
d)
Straight Angle
75.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
76.
Solve for x using knowledge about supplementary angles.
a)
90
b)
61.7
c)
180
d)
30
77.
If ∢3 is 35o, what is ∢4?
a)
35o
b)
51o
c)
45o
d)
23o
78.
Classify the triangle by its angles. 
a)
Right Triangle
b)
Obtuse Triangle
c)
Acute Triangle
d)
Equilateral Triangle
79.
Find the volume of figure. 
a)
180 cm3
b)
90 cm3
c)
160 cm3
d)
80 cm3
80.
 Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?
a)
13,600 ft²
b)
18,400 ft²
c)
16,000 ft²
d)
2,400 ft²
81.
Classify the pair of angles as complementary, supplementary, or neither.
a)
Complementary Angles
b)
Supplementary Angles
c)
Neither
82.
10 pt = ___ qt
a)
5
b)
10
c)
15
83.
32 c = ___ gal
a)
1
b)
2
c)
7
84.
A box of 8 identical bags of peanuts weighs 3 pounds. How many ounces does each bag of peanuts weigh?
a)
16 ounces
b)
48 ounces
c)
6 ounces
d)
3 ounces
85.
36 pt = ___ qt
a)
17
b)
18
c)
20
86.
A box of 8 identical bags of peanuts weighs 3 pounds. How many ounces does each bag of peanuts weigh?
a)
16 ounces
b)
48 ounces
c)
6 ounces
d)
3 ounces
87.
1 qt = ___ gal
a)
1/5
b)
1/4
c)
1/2
88.
A box of 8 identical bags of peanuts weighs 3 pounds. How many ounces does each bag of peanuts weigh?
a)
16 ounces
b)
48 ounces
c)
6 ounces
d)
3 ounces
89.
B
A ribbon was 50 cm long. After I cut some off, 37 cm was left. How much did I cut off?
a)
87 cm
b)
13 cm
c)
80 cm
d)
31 cm
90.
Selena's favorite basketball player is 6 feet 8 inches tall.  How tall is Selena's favorite basketball player in inches?
a)
68 inches
b)
76 inches
c)
80 inches
d)
84 inches
91.
24 lb ___ 124 oz
a)
<
b)
>
c)
=
92.
14 ft=_____ m
a)
5
b)
30.84
c)
14.3
d)
4.27
93.
D
A beaver is 15 inches long. It grows 23 inches. How long is the beaver now?
a)
8 inches
b)
38 inches
c)
30 inches
d)
38 centimeters
94.
Chase made 36 pints of lemonade for a class party.  How many gallons of lemonade did he make?
a)
9
b)
6
c)
4 1/2 
d)
2 1/2
95.
John is building a fence that is 6 yards long.  How many feet of fence should he buy?  
a)
18
b)
12
c)
24
d)
36
96.
Carmen's puppy weighs 9 pounds. Her kitten weighs 74 ounces. How many more ounces does her puppy weigh than her kitten?
a)
16 ounces
b)
70 ounces
c)
38 ounces
d)
144 ounces
97.
7 feet = ___ inches
a)
144 inches
b)
49 inches
c)
84 inches
d)
19 inches
98.
5 yards = __ feet 
a)
5
b)
15
c)
20
d)
25
99.
How many meters in a kilometer?
a)
10
b)
20
c)
100
d)
1000
100.
K
Jenna's hair was 39 inches long. She got a haircut and now her hair is 25 inches long. How many inches did she cut off?
a)
64 inches
b)
14 cm
c)
14 inches
d)
78 inches
101.
7 feet = ___ inches
a)
144 inches
b)
49 inches
c)
84 inches
d)
19 inches