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Worksheets

class 7th

Total questions: 172

Worksheet time: 6hrs 44mins

Name
Class
Date
1.

Two numbers are in the ratio 3:5.If the sum of the numbers is 144,then the larger number is

a)

48

b)

54

c)

72

d)

90

2.

What percent of 1/7 is 2/35 ?

a)

20%

b)

40%

c)

25%

d)

30%

3.

If Rohit borrows Rs.4800 at 5% per annum simple interest,then the amount he has to return at the end of 2 years is

a)

Rs.480

b)

Rs.5040

c)

Rs.5280

d)

Rs.5600

4.

If x,12,8,32 are in proportion,then x is

a)

3

b)

6

c)

4

d)

2

5.

In a class,45% of students are girls.If there are 22 boys in the class ,then the total number of students in the class is

a)

30

b)

40

c)

36

d)

44

6.

The simplest form of the ratio 1/6 : 1/4 is (a)   .

7.

The profit and loss percentage is always calculated on (a)  

8.

25 ml is (a)   percent of 5 litres.

9.
Find the ratio of Rs.6 to 60 paise
a)
10 : 1
b)
100 : 1
c)
1 : 10
d)
1 : 100
10.

Convert the given fraction to percent:

4 ⁄ 5

a)

80%

b)

8%

c)

70%

d)

None of the above

11.

Profit & loss are always calculated on

a)

Selling price

b)

Cost price

c)

Discount

d)

Interest

12.
Convert the decimal 0.06 into percentage
a)
6%
b)
60%
c)
0.6%
d)
None of the above
13.

For calculating interest, we use

a)

I = (P x T ) /100

b)

I = (P x R x T) /100

c)

I = (P x R) /100

d)

I = P x R x T x 100

14.
If 25% of a number is 25, then the number is_____
a)
10
b)
100
c)
1000
d)
50
15.

What percentage of 32 is 8?

(x% of 32) = 8

a)

25%

b)

20%

c)

15%

d)

40%

16.
Find the ratio of 40 paise to ₹ 4
a)
1 : 10
b)
10 : 1
c)
100 : 1
d)
1 : 100
17.
Convert the following ratio into percentage:
1 : 5
a)
20%
b)
10%
c)
25%
d)
50%
18.
If 20% of x = 80 then x = _____
a)
400
b)
40
c)
4000
d)
800
19.
What would be the sale price of a bag marked as ₹ 300 if the discount is 20%
a)
₹ 270
b)
₹ 260
c)
₹ 250
d)
₹ 240
20.

If 72% of 25 students like maths, find out the number of students who do not like mathematics?

a)

8

b)

9

c)

7

21.

The price of a motorcycle was Rs. 34,000 last year. It has increased by 20% this year. The price of motorcycle now is:

a)

Rs 36000

b)

Rs 38,800

c)

Rs 40,800

d)

Rs 32000

22.

What would be the sale price of a bag marked at ₹ 300 if the discount is 20%

a)

₹ 270

b)

₹ 260

c)

₹ 250

d)

₹ 240

23.
Find 12% of ₹ 1200
a)
144
b)
100
c)
44
d)
50
24.
What would be the sale price of a bag marked as ₹ 300 if the discount is 20%
a)
₹ 270
b)
₹ 260
c)
₹ 250
d)
₹ 240
25.

convert 2/4 into percent

a)

50

b)

100

c)

500

d)

200

26.

convert 0.85 into percentage

a)

850%

b)

85%

c)

8500%

d)

none

27.

simplest form of 125 : 1000

a)

1 : 4

b)

2 : 1

c)

1: 8

d)

8 : 1

28.

In a city,30% are females,40% are males and remaining are children. What percent are children?

a)

30%

b)

20%

c)

40%

d)

50%

29.

what is the unit of ratio

a)

km

b)

m

c)

cm

d)

no unit

30.

If 20% of x = 80 then x= ?

a)

400

b)

40

c)

4000

d)

800

31.

If the CP is less than the SP, then there will be a loss.

a)

True

b)

False

32.

Tom helped his uncle move. He spent $30 for gas for his truck, and $20 for work gloves. His uncle paid him $200 for his help. What was Tom's profit?

a)

$50

b)

$150

c)

$250

d)

$30

33.

Evan earned $300 by doing yard work. His profit was $250. How much were his expenses?

a)

$550

b)

$300

c)

$250

d)

$50

34.

What is the profit percent if a shopkeeper buys a football for $12 and sells it for $15?

a)

80%

b)

25%

c)

20%

d)

50%

35.
What is the percentage profit if Tony buys a watch for $50 and sells it for $60?
a)
20%
b)
25%
c)
16.6%
d)
16.7%
36.
If James sells his car for $1,000 and bought it for $2500. What is the percentage loss made on the car.
a)
15%
b)
10%
c)
60%
d)
150%
37.
Calculate the percentage profit if an item is bought for $42 and sold for $52.50
a)
20%
b)
25%
c)
80%
d)
22%
38.
Calculate the percentage loss if an item is bought for $70 and sold for $49
a)
42.9%
b)
70%
c)
30%
d)
35%
39.
Calculate the percentage loss if an item is bought for $400 and sold for $364
a)
9.9%
b)
11%
c)
9%
d)
91%
40.
A computer has been discounted by 32%. The original cost was $900. What is the new price?
a)
$1188
b)
$288
c)
$612
d)
$600
41.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
42.
-32/8
a)
-4
b)
-5
c)
4
d)
24
43.
3 - (-8)
a)
11
b)
-11
c)
5
d)
-5
44.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
45.
-9 • 3 =
a)
-27
b)
27
c)
-28
46.
-12 • -5 =
a)
-55
b)
55
c)
60
d)
-60
47.
2 • -8 =
a)
-15
b)
15
c)
-16
d)
16
48.
6 • 8 =
a)
48
b)
-48
c)
14
49.

-14/7

a)

2

b)

-2

c)

7

d)

-7

50.

-45/-9

a)

-5

b)

8

c)

5

d)

-8

51.

-16/8

a)

-2

b)

8

c)

-8

d)

2

52.
How would -9 -(-5) look like as an addition problem?
a)
-9 + (-5)
b)
9 + 5
c)
-9 + 5
d)
9 + (-5)
53.
5 - 2
a)
7
b)
3
c)
-3
d)
-7
54.
-3 - 2
a)
-1
b)
-5
c)
1
d)
6
55.
19 - (-19)
a)
0
b)
36
c)
26
d)
38
56.
Ty entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2 floors, down 5 floors and up 6 floors, where he got off. On what floor did Ty get off the elevator?
a)
6th floor
b)
7th floor
c)
8th floor
d)
9th floor
57.
When multiplying or dividing a NEGATIVE and a POSITIVE number, your result will be...
a)
Positive
b)
Negative
c)
The sign of the larger absolute value
d)
The sign of the smaller absolute value
58.
Which of the following has a negative product?
a)
-7 ⋅ (-9)
b)
6(-2)(-11)
c)
8 × 5
d)
-4(12)
59.
Desmond's monthly Netflix subscription costs $10.  If he charges it to his credit card each month for 5 months without making any payments, what will his debt be?
a)
-$14
b)
-$2
c)
-$45
d)
-$50
60.

I am confident when working with integers.

a)

Very Confident

b)

Confident

c)

Somewhat Confident

d)

Not Confident

61.
Opposite of 142
a)
-142
b)
142
c)
+142
62.
Which integer represents a withdrawal from your bank account of $50
a)
-$50
b)
$50
c)
+$50
63.

Which is NOT negative?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

64.
Which integer represents a gain of 10 yards on a football play?
a)
+10
b)
-10
65.
Identify the set of numbers that is graphed below
a)
{-4,3,-1}
b)
{-4,-3,1} and their opposties
66.
12 and -12 are example of ....
a)
opposites
b)
even numbers
c)
negative numbers
d)
absolute values
67.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
68.
What is the opposite of zero?
a)
1
b)
-1
c)
0
d)
it doesn't have one
69.
Darrel is currently 20 feet below sea level. Which correctly describes the opposite of Darrel's elevation?
a)
20 feet below sea level
b)
20 feet above sea level
c)
2 feet below sea level
d)
At sea level
70.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
71.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

72.
Negatives numbers are right or left of zero?
a)
right
b)
left
73.
A decrease of 5 inches.
a)
positive
b)
negative
74.
Which is the greatest integer?
a)
-33
b)
-31
c)
-28
d)
-17
75.
Which is not an integer?  
a)
-5
b)
12
c)
0
d)
-1/2
76.
Express as an integer:  at sea level
a)
0
b)
-0
c)
1
d)
-10
77.

Distance between the 2 integers?

a)

8

b)

6

c)

-7

d)

7

78.

−10+−15 =

a)

-20

b)

5

c)

-15

d)

-25

79.

Find the missing number!

a)

-3

b)

-4

c)

-7

d)

-6

80.

Find the missing number!

a)

3

b)

9

c)

-6

d)

5

81.

7.8−(−9.1) =

a)

16.9

b)

-2.9

c)

-16.9

d)

9.2

82.

514+−321 =

a)

139

b)

193

c)

391

d)

174

83.

−5 −(−6) =

a)

1

b)

-1

c)

2

d)

-2

84.

−888−(−111) =

a)

777

b)

999

c)

-777

d)

-999

85.

Two integers add up to 2. One of the integers is 8. What is the other integer?

a)

4

b)

-4

c)

6

d)

-6

86.

When you subtract one integer from another integer, the answer is 3. One integer is 1. Find the other integer.

a)

5

b)

-3

c)

4

d)

-4

87.

7×−7 =

a)

49

b)

94

c)

-49

d)

-94

88.

−63÷9 =

a)

7

b)

-7

c)

14

d)

-14

89.

(−6+−4)×3 =

a)

30

b)

-30

c)

15

d)

45

90.

(−10+−4)÷2 =

a)

7

b)

-7

c)

14

d)

-14

91.

(−5−13)÷3 =

a)

-6

b)

6

c)

12

d)

-12

92.

-50 ÷ 10 =

a)

10

b)

-10

c)

5

d)

-5

93.

(1−−3)×−7 =

a)

-14

b)

28

c)

-28

d)

14

94.

−20 ÷ (3−−2) =

a)

4

b)

5

c)

-5

d)

-4

95.

5×(−2 − 4) =

a)

30

b)

15

c)

-30

d)

-15

96.

(−10-24)÷2 =

a)

14

b)

17

c)

-17

d)

-14

97.

−61 + -29=

a)

80

b)

-90

c)

40

d)

-40

98.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
99.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
100.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
101.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
102.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
103.
-32/8
a)
-4
b)
-5
c)
4
d)
24
104.
-9 • 3 =
a)
-27
b)
27
c)
-28
105.
-12 • -5 =
a)
-55
b)
55
c)
60
d)
-60
106.

-45/-9

a)

-5

b)

8

c)

5

d)

-8

107.
How would -9 -(-5) look like as an addition problem?
a)
-9 + (-5)
b)
9 + 5
c)
-9 + 5
d)
9 + (-5)
108.
19 - (-19)
a)
0
b)
36
c)
26
d)
38
109.
When multiplying or dividing a NEGATIVE and a POSITIVE number, your result will be...
a)
Positive
b)
Negative
c)
The sign of the larger absolute value
d)
The sign of the smaller absolute value
110.
Ty entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2 floors, down 5 floors and up 6 floors, where he got off. On what floor did Ty get off the elevator?
a)
6th floor
b)
7th floor
c)
8th floor
d)
9th floor
111.
Which of the following has a negative product?
a)
-7 ⋅ (-9)
b)
6(-2)(-11)
c)
8 × 5
d)
-4(12)
112.
Desmond's monthly Netflix subscription costs $10.  If he charges it to his credit card each month for 5 months without making any payments, what will his debt be?
a)
-$14
b)
-$2
c)
-$45
d)
-$50
113.

Which pair of angles is an example of corresponding angles?

a)

1 and 8\angle1\ and\ \angle8  

b)

3 and 7\angle3\ and\ \angle7  

c)

4 and 5\angle4\ and\ \angle5  

d)

2 and 5\angle2\ and\ \angle5  

114.

Which pair of angles is an example of alternate exterior angles?

a)

1 and 8\angle1\ and\ \angle8  

b)

3 and 7\angle3\ and\ \angle7  

c)

4 and 5\angle4\ and\ \angle5  

d)

2 and 5\angle2\ and\ \angle5  

115.

If  5 and 4\angle5\ and\ \angle4  are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

a)

3 and 2\angle3\ and\ \angle2  

b)

6 and 8\angle6\ and\ \angle8  

c)

3 and 6\angle3\ and\ \angle6  

d)

1 and 9\angle1\ and\ \angle9  

116.

1) Given the two parallel lines cut by a transversal.


What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

117.


3 and 6 are examples of which type of angle pair?\angle3\ and\ \angle6\ are\ examples\ of\ which\ type\ of\ angle\ pair?  

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

118.

Find the value of x if the  m1 = 11x  9°m\angle1\ =\ 11x\ -\ 9\degree and the  m5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

119.

Find x

a)

15 degrees

b)

12 degrees

c)

24 degrees

d)

10 degrees

120.
What value of x will make m parallel to n?
a)
113
b)
166
c)
19
121.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
122.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
123.

∠1 and ∠2 are vertical angles.

If m∠1 = (17x + 1)° and

m∠2 = (20x -- 14)°, find m∠2.

a)

m∠1 = 90°

b)

m∠2 = 90°

c)

m∠1 = 86°

d)

m∠2 = 86°

124.

Lines A and B are parallel lines cut by a transversal. Find the value of x.

a)

x = 8

b)

x = 13

c)

x = 74

d)

x = 106

125.

A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles?

a)

40 and 40

b)

65 and 115

c)

40 and 140

d)

75 and 105

126.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)
12X - 19 = 4X +1
c)
12X - 19 + 4X +1=90
d)
12X - 19 + 4X +1=180
127.

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

128.
What is the relationship of the angles?
a)
Corresponding angles
b)
Same Side Interior
c)
Alternate Interior
d)
Alternate Exterior
129.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
130.
Identify the angle relationship between angles 4 & 6
a)
Corresponding
b)
Alternate Interior
c)
Alternate Exterior
d)

Same-Side Interior

131.
a)

Parallel

b)

Not Parallel

132.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
133.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
134.

Two angles whose sum equals 180° are called...

a)

supplementary angles.

b)

obtuse angles.

c)

complementary angles

d)

a straight line.

135.

x = _________

a)

146° - supplementary angles.

b)

34° - alternating exterior angles.

c)

146° - same-side interior angles.

d)

34° - supplementary angles.

136.

x = ________

a)

77° - alternating exterior angles.

b)

103° - alternating interior angles.

c)

77° - vertical angles.

d)

103° - vertical angles.

137.

Which of the following is NOT an example of supplementary angles?

a)

7 and 8\angle7\ and\ \angle8  

b)

2 and 3\angle2\ and\ \angle3  

c)

1 and 7\angle1\ and\ \angle7  

d)

6 and 4\angle6\ and\ \angle4  

138.

If the  \angle  find the measure of  

a)

7 and 8\angle7\ and\ \angle8  

b)

2 and 3\angle2\ and\ \angle3  

c)

1 and 7\angle1\ and\ \angle7  

d)

Cannot be determined

139.

Which angles are vertical angles?

a)

8  and 7\angle8\ \ and\ \angle7

b)

8 and 6\angle8\ and\ \angle6

c)

8 and 5\angle8\ and\ \angle5

140.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

141.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
142.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
143.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
144.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
145.

The sum of all angles inside a triangle is (a)  

146.

Does Adjacent angles have common side and common vertex?

a)

Yes they have common side but vertex is different

b)

Yes they have common vertex but with different sides

c)

They have both common side and common vertex

d)

Absolutely not

147.

In complementary angles the sum of the measures of two angle is (a)   degree.

148.

Explain some properties of a rectangle.

4 lines
149.

Property 3 - Each angle of an equilateral triangle is ..........degree

a)

30

b)

60

c)

90

d)

45

150.

Kite has one pair of opposite angles (obtuse) that are equal.

a)

True

b)

False

151.

If k + 7 = 10, find the value of 9k – 50

a)

23

b)

-23

c)

77

d)

-77

152.

Solve the following equation:

3(y – 2) = 2(y – 1) – 3

a)

1

b)

2

c)

3

d)

4

153.

If 5 is added to twice a number, the result is 29. Find the number.

a)

24

b)

12

c)

-12

d)

-24

154.

The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.

a)

20,10

b)

10,20

c)

-20,-10

d)

-10,-20

155.

Seven times a number is 12 less than thirteen times the same number. Find the number.

a)

1

b)

2

c)

3

d)

4

156.

The sum of three consecutive multiples of 2 is 18. Find the numbers.

a)

4,6,8

b)

-4,-6,-8

c)

6,8,10

d)

None of the above

157.

A man travelled two-fifth of his journey by train, one-third by bus, one-fourth by car and the remaining 3 km on foot. What is the length of his total journey?

a)

100 km

b)

120 km

c)

150 km

d)

180 km

158.

Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of equal sides of the triangle.

a)

12 m

b)

10 cm

c)

12 cm

d)

10 m

159.

The present age of a son is half the present age of his father. Ten years ago, the father was thrice as old as his son. What is the present age of father?

a)

10 years

b)

20 years

c)

40 years

d)

80 years

160.

If one-third of a number exceeds its one-fourth by 1, find the number.

a)

12

b)

-12

c)

10

d)

-10

161.

If 8x – 3 = 25 + 17x, then x is

a)

a fraction

b)

an integer

c)

a rational number

d)

Cannot be solved

162.

The value of x, for which the expressions 3x – 4 and 2x + 1 become equal, is

a)

-3

b)

0

c)

1

d)

5

163.

A linear equation in one variable has

a)

only one solution

b)

two solutions

c)

more than two solutions

d)

no solution

164.

The digit in the ten’s place of a two-digit number is 3 more than the digit in the unit’s place. Let the digit at unit’s place be b. Then, the number is

a)

11b+30

b)

10b+ 30

c)

11 b + 3

d)

10b + 3

165.

Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x, then Arpita’s present age is

a)

3 (x – 3)

b)

3x + 3

c)

3x – 9

d)

3(x + 3)

166.

The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.

a)

112

b)

126

c)

119

d)

116

167.

After 18 years, Swarnim will be 4 times as old as he is now. His present age is

a)

6 years

b)

12 years

c)

18 years

d)

24 years

168.

Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years, Reemu’s age will be 15p years. True or False.

a)

True

b)

False

169.

What is the value of x: 0.4(3x-1)=0.5x +1

a)

2

b)

3

c)

4

d)

5

170.

Solve for t: 4t-3-(3t+1)=5t-4

a)

0

b)

1

c)

2

d)

3

171.

Rs 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs 1000 more than Kiran and Jenifer gets Rs 500 more than Kiran. Find the money received by Jenifer.

a)

Rs 4500

b)

Rs 5000

c)

Rs 5500

d)

Rs 6000

172.

Divide 54 into two parts, such that one part is 2/7 of the other.

a)

21

b)

42

c)

63

d)

84