**Grade 7 math worksheet 7 answers :**

Here we are going to see 10 practice questions of mixed topics. We have been preparing this set of questions in order to test how you understood the topics.

**Question 1 :**

Suman studies for 17/3 hours daily. She devotes 14/5 hours of her time for Science and Mathematics. How much time does she devote for other subjects?

(A) 23/15 (B) 43/15 (C) 14/15

**Solution :**

Time devoted by her for Science and Mathematics = 14/5

Total times of Suman's study = 17/3

Thus, time devoted by her for other subjects

= 17/3 - 14/5

= (85 - 42)/15

= 43/15

**Question 2 :**

If A + B = √8 and A - B = √5, what is A x B? is?

(A) 5/4 (B) 8/7 (C) 3/4

**Solution :**

**A + B = √8 ---(1)**

**A - B = √5**** ---(2)**

**(1) + (2) ==> 2A = ****√8 + ****√5**

**A = (****√8 + ****√5)/2**

**(1) - (2) ==> 2B = ****√8 - ****√5**

**B = (****√8 - ****√5)/2**

**A x B = [****(****√8 + ****√5)/2] [****(****√8 - ****√5)/2]**

**= (****√8 ^{2} - **

**= (8 - 5)/4**

**= 3/4**

**Question 3 :**

In a class of 35 students, 7 students were absent on a particular day. What percentage of the students were absent?

(A) 50% (B) 33% (C) 20%

**Solution :**

Total number of students = 35

Number of students absent = 7

Percentage of students were absent

= (7/35) 100

= (1/5) 100

= 20 %

**Question 4 :**

The last two digits of of 5^{2003} is

(A) 30 (B) 50 (C) 25

**Solution :**

5 5 5 |
5 5 5 |

The last two digits of the expansion will be 25.

**Question 5 :**

Calculate the unit digit of 12^{3}

(A) 4 (B) 6 (C) 8

**Solution :**

12^{3} = 12 **⋅ **12 **⋅** 12

The of unit digit of 12 is 2. If we multiply 2 three times, we will get 8.

Hence the unit 12^{3} is 8.

**Question 6 :**

What is the complementary angle of 35 degree

(A) 65 (B) 75 (C) 55

**Solution : **

Complementary angles means sum of those angles would be 90 degree.

Let "x" be the unknown angle

x + 35 = 90

Subtract 35 on both sides

x = 90 - 35

= 55

**Question 7 :**

The sum of 2 consecutive integers is 75. Find the numbers.

(A) 37 and 38 (B) 47 and 28 (C) 28 and 37

**Solution :**

let "x" and "x + 1" be two consecutive numbers

x + x + 1 = 75

2x + 1 = 75

Subtract both sides by 1

2x = 74

Divide both sides by 2

x = 74/2 = 37

Hence the required numbers are 37 and 38.

**Question 8 :**

The percentage of literacy in a village is 47%. Find the number of illiterates in the village, if the population is 7,500.

(A) 6 (B) 8 (C) 5

Solution :

Total population = 7500

Percentage of illiterates = 47

Number of illiterates = 47% of 7500

= (47/100) ⋅ 7500

= 47 (75)

= 3525

**Question 9 :**

The area of a trapezium is 102 sq. cm and its height is 12 cm. If one of its parallel sides is 8 cm. Find the length of the other side.

(A) 12 cm (B) 9 cm (C) 22 cm

**Solution :**

Area = 102 cm^{2}, h = 12 cm, a = 8 cm.

Area of a trapezium = 102

(1/2) h (a + b)= 102

(1/2) (12) (a + b)= 102

6 (8 + b) = 102

8 + b = 17 ==> b = 17 – 8 = 9

length of the other side = 9 cm

**Question 10 :**

Find out the circumference of a circle whose radius is 3.5 m.

(A) 22 m (B) 32 m (C) 42 m

**Solution :**

r = 3.5 m

Circumference of a circle = 2∏ r

= 2 ⋅ (22/7) ⋅ 3.5

= 22 m

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