**6th Grade Math Questions and Answers**

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

**Question 1 :**

What is the successor of the number 1000906

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

**Solution :**

Successor of a number, the number just after the given number.

Successor of 1000906 is 1000907.

**Question 2 :**

Find the sum of 13, 412, 687 and 908

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

**Solution : **

Sum of 13, 412, 687 and 908 = 13 + 412 + 687 + 908

= 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) 14265

**Solution :**

Total population = 450772

Number of educated persons = 450772/14

= 32198

Hence the number of educated persons is 32198.

**Question 4 :**

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

(A) 539 (B) 530 (C) 129

**Solution :**

Number of children

= Total number of people - (Number of men + Number of women)

= 1500 - (489 + 472)

= 1500 - 961

= 539

Hence the number of children are 539.

**Question 5 :**

Find the cube of -13.

(A) 2197 (B) -2197 (C) 169

**Solution :**

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

= -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

Hence the answer is 25.

**Question 7 :**

What is the largest 4 digit number?

(A) 4444 (B) 9999 (C) 8542

**Solution :**

The largest 4 digit number 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 :**

Relationship between HCF and LCM.

HCF x LCM = Product of two numbers

HCF = 5, LCM = 280

One of the number = 35

Let be the unknown number.

5 x 280 = 35 ⋅ x

x = (5 ⋅ 280)/35

x = 40

Hence 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) 1 : 15

**Solution :**

The time difference between 9 : 00 am to 5.30 pm is 8 hours 30 minutes.

8 hours = 8 (60) = 480 seconds

480 + 30 = 510 seconds

Ratio between the lunch interval and total period in office.

= 510 : 30

= 51 : 3

= 17 : 1

**Question 10 :**

Solve the equation x - 7 = -15

(A) 4 (B) -8 (C) 15

**Solution :**

x - 7 = -15

x = -15 + 7

x = -8

Hence the answer is -8.

After having gone through the stuff given above, we hope that the students would have practiced problems in the worksheet.

Apart from the stuff given on this web page, if you need any other stuff in math, please use our google custom search here

If you have any feedback about our math content, please mail us :

**v4formath@gmail.com**

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**