GRADE 7 MATH WORKSHEET WITH ANSWERS

Question 1 :

A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5° C every hour. What will the room temperature 10 hours after the process begins? 

(A)    -4°C           (B)  -10°C         (C)  -3°C

Solution :

Room temperature  =  40°C

It reduces the temperature level at the rate of 5°C per hour.

In one hour the temperature will become  =  40 - 5  =  35

In two hours the temperature will become  =  35-5  =  30

In ten hours the temperature will become  =  40 - (10⋅5)

  =  40  - 50

  =  -10°C

Hence room temperature after 10 hours is -10°C.

Question 2 :

In a class of 40 students 1/5 of the total number of students like to study English. Then how many students like to study English?

(A)  5            (B)  8              (C)  10 

Solution :

Total number of students in the class  =  40

In which 1/5 of the students would like to study English.

Number of students who would like to study English

  =  (1/5) of 40 

=  (1/5) ⋅ 40

=  8

Hence the number of students who would like to study English is 8.

Question 3 :

A two wheeler covers a distance of 55.3 km in one liter of petrol. How much distance will it cover in 10 liters of petrol? 

(A)  553 km     (B)  524 km     (C)  320 Km

Solution :

Distance covered by two wheeler by consuming 1 liter petrol 

=  55.3 km

Distance covered by two wheeler by consuming 10 liter petrol 

=  55.3 (10)

 =  553 km

Question 4 :

The ages in years of 10 teachers of a school are : 32, 41, 28, 54, 35, 26, 23, 33, 38, 40. What is the range of ages of the teachers? 

(A)   31 years               (B) 38 years          (C)  40 years 

Solution :

Range  =  L - S

Largest number  =  54

Smallest number  =  26

Range  =  54 - 26  =  28

So, the range is 28.

Question 5 :

Find the value of p in the following equation 10p + 10 = 100

(A)  8         (B)  9       (C)  10 

Solution :

10 p + 10 = 100

Subtract 10 on both sides

10 p =  90

Divide by 10 on both sides

p =  90/10  =  9 

So, the value of p is 9.

Question 6 :

The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7 . The highest score is 87.What will be the lowest score?

(A)  40    (B)  32   (C)  55

Solution :

Let "x" be the lowest mark

Highest mark obtained by the student  =  2x + 7

2x + 7   =  87

Subtract 7 on both sides

2x  =  87 - 7

2x  =  80

Divide 2 on both sides

x  =  80/2  =  40

So, the highest mark is 40.

Question 7 :

Find the angle x in the following picture.

(A)   70°        (B)  100°             (C)  50°

Solution :

Corresponding angles are equal.

So, the required angle is 100°.  

Question 8 :

In triangle ABC right angled at C. If AC = 5 cm and BC = 12 cm find the length of AB. 

(A)   12 cm       (B)   18 cm      (C)  13 cm

Solution :

In a right triangle ABC,

AB²  =  AC² + BC²

AB²  =  12² + 5² 

 AB²  =  144 + 25 

AB²  =  169

AB  =  √169  =  13 cm

So, the length of hypotenuse side is 13 cm.

Question 9 :

Find the percent of the following picture which is colored.

(A)  37.5 %            (B)  25.8 %             (C)  50 %

Solution :

Out of 8 equal parts 3 parts are shaded 

Percentage of the following picture which is colored 

  =  (3/8) ⋅ 100

  =  37.5%

Question 10 :

The perimeter of a rectangle is 130 cm. If the width of the rectangle is 30 cm, find the area of the rectangle.

(A)  6400 cm²       (B)  1050 cm²      (C)   3000 cm²

Solution :

Perimeter of a rectangle  =  130 cm

width  =  30 cm

2(l + w)  =  130

l + w  =  65

l + 30  =  65

Subtract 30 on both sides

l  =  65 - 30

L  =  35 cm

Area of rectangle  =  L ⋅ w

 =  35 ⋅ 30

=  1050 cm²

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