**6th Grade Math Test with Answers :**

In this section, we will see some practice questions for 6th grade students.

**Question 1 :**

What is the successor of the number 1000906

(A) 100907 (B) 1000907 (C) 1000905

**Solution :**

Successor means the next number.

To find the next number, we have to add 1 with this number.

1000906 + 1 = 1000907

So, the answer is 1000907.

**Question 2 :**

Find the sum of 13, 412, 687 and 908

(A) 2020 (B) 2000 (C) 1950

**Solution :**

13 + 412 + 687 + 908 = 2020

So, the answer is 2020.

**Question 3 :**

The population of a town is 450772. 1 out of every 14 persons is reported to be educated. In all, how many educated persons are there in the town.

(A) 32198 (B) 35000 (C) 14625

**Solution :**

Total number of persons = 450772

1 out of 14 to be educated

Total number of educated persons = (1/14) ⋅ 450772

= 32198

So, the correct answer is 32198.

**Question 4 :**

The population of a village is 1500. If 489 are men and 472 are women.Find the number of children.

(A) 530 (B) 539 (C) 125

**Solution :**

Total number of persons in the village = 1500

Number of men = 489

Number of women = 472

To find the total number of children, we have to subtract the sum of men and women from the total number of people.

Number of children = 1500 - (489 + 472)

= 1500 - 961

= 539

So, the answer is 539.

**Question 5 :**

Find the cube of -13.

(A) 3250 (B) 2197 (C) 4125

**Solution :**

To find the cube of -13 we have to multiply -13 three times

(-13)^{3} = -13 (-13) (-13)

= 2197

So, the answer is 2197

**Question 6 :**

Simplify the following expression:

30 - [15 - {6 + (18 - 14)}]

(A) 15 (B) 25 (C) 28

**Solution :**

** = 30 - [15 - {6 + (18 - 14)}]**

** = 30 - [15 - {6 + 4}]**

** = 30 - [15 - 10]**

** = 30 - 5**

= 25

So, the answer is 25.

**Question 7 :**

What is the largest 4 digit number?

(A) 4444 (B) 9999 (C) 8572

**Solution :**

The largest four digit number is 9999

So the answer is 9999.

**Question 8 :**

HCF and LCM of two numbers are 5 and 280 respectively .If one of the number is 35, find the other number.

(A) 20 (B) 30 (C) 40

**Solution :**

HCF of two numbers = 5

LCM of two numbers = 280

One of the number = 35

Relationship between LCM and HCF

Product of two numbers = HCF ⋅ LCM

35 ⋅ x = 5 ⋅ 280

35x = 1400

x = 1400/35

x = 40

So the answer is 40.

**Question 9 :**

An office opens at 9:00 a.m and closes at 5:30 p.m with a lunch interval of 30 minutes.What is the ratio of lunch interval to the total period in office.

(A) 1 : 17 (B) 17 : 1 (C) 15 : 2

**Solution :**

Total period of office time = 8 hours 30 minutes

Time taken for lunch interval = 30 minutes

Now we are going to take the total office time from hours to minutes

8 ⋅ 60 minutes + 30 minutes : 30 minutes

480 + 30 : 30

510 : 30

= 510/30

= 51/3

= 17 : 1

So the answer is 17 : 1

**Question 10 :**

Solve the equation x - 7 = -15

(A) -7 (B) -8 (C) 5

**Solution :**

Solve the equation x - 7 = -15

To find value for x,

x = - 15 + 7

x = -8

So the answer is -8.

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