**Grade 6 Math Worksheet with Answers :**

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

**Question 1 :**

A gardener plans to plant 570 trees in 19 rows. Each row is to contain the same number of trees. How many trees will there be in each row ?

(A) 15 (B) 17 (C) 30

**Solution :**

Number of trees = 570

Number of rows = 19

Each row is containing same number of trees.

Number of trees in each row = 570/19

= 30

Hence 30 trees in each row.

**Question 2 :**

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) 45123 (C) 15465

**Solution :**

Total population = 450772

Number of educated persons = 450772/14

= 32198

Hence the number of educated persons is 32198.

**Question 3 :**

The LCM of 20, 25, 30 and 40.

(A) 700 (B) 600 (C) 300

**Solution :**

Least common multiple = 5 x 2 x 2 x 5 x 3 x 2

= 600

**Question 4 :**

Given that LCM of two numbers is 16 and their product is 64, determine their HCF.

(A) 15 (B) 4 (C) 12

**Solution :**

Product of two numbers = L.C.M x H.C.F

l.C.M = 16, H.C.F = ?, product of two numbers = 64

64 = 16 x H.C.F

H.C.F = 64/16

H.C.F = 4

**Question 5 :**

The number of boys and girls in a school are 480 and 576 respectively. Express the ratio of the number of boys to that girls in the simplest form.

(A) 5:6 (B) 6:5 (C) 2:3

**Solution :**

Number of boys : Number of girls

= 480 : 576

= 480/576

= 5/6

= 5 : 6

**Question 6 :**

Find the third term of a proportion whose first, second and fourth terms are respectively 24, 8 and 5

(A) 20 (B) 18 (C) 15

**Solution :**

Let x be the third term.

24 : 8 :: x : 5

Product of extremes = Product of means

24 ⋅ 5 = 8 ⋅ x

x = (24 ⋅ 5)/8

x = 15

**Question 7 :**

Find 20% of 150

(A) 30 (B) 16 (C) 25

**Solution :**

20% of 150 = (20/100) ⋅ 150

= 30

**Question 8 :**

Find the value of 2y^{3 }- 3y^{2} + y - 1, if y = -2

(A) -15 (B) -65 (C) -31

**Solution :**

p(y) = 2y^{3 }- 3y^{2} + y - 1

p(-2) = 2(-2)^{3 }- 3(-2)^{2} + (-2) - 1

= 2(-8) - 3(4) - 2 - 1

= -16 - 12 - 3

= -31

Hence the answer is -31.

**Question 9 :**

Sum of the three angles of a triangle is ________

(A) 150° (B) 180° (C) 120°

**Solution :**

The sum of the interior angles of a triangle is 180°.

**Question 10 :**

A tile is a square of side 25 cm. How many such tiles would be required to cover the floor of a square bath room of side is 3 m ?

(A) 13 (B) 17 (C) 12

**Solution :**

Number of square tiles = Area of bath room / Area of one square tile

Area of bath room = 3 m = 3 x 100 = 300 cm

Number of tiles = 300/25

= 12

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

HTML Comment Box is loading comments...

You can also visit our 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**