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- 3y2 + y - 1, if y = -2

(A) -15        (B) -65       (C) -31

Solution :

p(y)  =  2y- 3y2 + y - 1

p(-2)  =  2(-2)- 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

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

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6