# GRADE 6 MATH PRACTICE SHEET

Grade 6 Math Practice Sheet :

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

Question 1 :

How many 5's in 300

(A) 50          (B) 30          (C) 60

Solution :

To find the number of 5's in 300, you should divide 300 by 5. We get 60. So, there is 60 three's in 300.

Question 2 :

(A) 15.24         (B) 114.84          (C) 33.47

Solution :

=  15.24 + 18.23

=  33.47

The sum of given decimals is 33.47.

Question 3 :

The wrong number of the sequence 1, 8, 27, 64, 124, 216, 343 is

(A) 150     (B) 124       (C) 117

Solution :

By observing the sequence, every term is the cube of natural numbers except 124.

So 124 is the wrong number in the sequence.

Question 4 :

A triangle with sides of length 6, 8 and 10 is a

(A) Equilateral triangle     (B) Scalene triangle

(C) Right triangle

Solution :

Verifying pythagorean theorem :

10=  62 + 82

100  =  36 + 64

100  =  100

Hence the given measures are sides of right triangle.

Question 5 :

In parallelogram ABCD, AB  =  x + 8, BC  =  3x and DC  =  4x - 4. What is the perimeter?

(A) 12       (B) 20        (C) 48

Solution :

In a parallelogram, the opposite sides are equal.

x + 8  =  4x - 4

4x - x  =  8 + 4

3x  =  12

x  =  4

 AB  =  4 + 8AB  =  12The Opposite side of AB is C.CD  =  4(4) - 4CD  =  16 - 4CD  =  12 BC  =  3(4)BC  =  12The opposite side of BC is DA.DA  =  12

Perimeter of parallelogram  =  AB + BC + CD + DA

=  12 + 12 + 12 + 12

=  48

Question 6 :

An omelet requires 2 eggs and 1 pepper. I have 13 eggs and 8 peppers. How many whole omelets can I make?

(A) 4        (B) 8      (C) 6

Solution :

There are 6 pairs in 13 eggs and we can use 6 peppers out of 8 peppers. We can make 6 omlets in whole.

Question 7 :

Find the area of the circle with radius 3 cm

(A) 7π cm2      (B) 9π cm2       (C) 12π cm2

Solution :

Area of circle  =  πr2

Area of circle  =  π(3) =  9π

So, the answer is 9π cm2.

Question 8 :

The sum of angles in a triangle is ________

(A) 120°         (B) 180°        (C) 90 °

Solution :

Sum of the angles of a triangle is 180 degrees.

Question 9 :

Find the side length of the square if diagonal measures 4 cm

(A) 10 cm2          (B) 6 cm2            (C) 8 cm2

Solution :

Let x be the side length of the square. In a square the diagonal divides it into two right triangles.

x2 + x2  =  42

2x2  =  16

x2  =  8

Area of square is 8 cm2

Question 10 :

The reduced common fraction for the sum of (3/8) and (8/3) is

(A) 24/73       (B) 73/14        (C) 73/24

Solution :

=  (3/8) + (8/3)

=  (9 + 64)/24

=  73 / 24 Apart from the stuff given in this section if you need any other stuff in math, please use our google custom search here.

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

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 