Here we are going to see solutions of 7th grade math worksheets 2.

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.

Related web page "Add and subtract word problems".

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) x 40

=  8

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

Related web page "Multiplication word problems"

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

Related web page "Time and distance"

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

Hence the range is 28.

Related web page "How to find range"

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

Hence the value of p is 9.

Related web page "Solving linear equations"

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

Hence the highest mark is 40.

Related web page "Framing equations from word problems"

Question 7 :

Find the angle x in the following picture.

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

Solution :

Corresponding angles are equal.

Hence x is 100°.

Related web page "Lines and transversals"

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 + 5 ==>  144 + 25  ==>  169

AB2  =  169

AB  =  √169  =  13 cm

Related web page "Find the length of missing side of triangle"

Let us look into the solution of next problem on "Grade 7 math worksheet 2 answers"

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) x 100

=  37.5%

Let us look into the solution of next problem on "Grade 7 math worksheet 2 answers"

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 x w

=  35 x 30

=  1050 cm2

Related web page "Perimeter and area word problems"

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