# 6TH GRADE MATH PRACTICE ONLINE

Question 1 :

Which is the least 6 digit number of the following numbers

(A) 100050     (B) 100095     (C) 10000

Solution :

Comparing the above three numbers, 100050 is the least 6 digit number.

Question 2 :

The sum of two integers is 48. If one of the integer is -24, determine the other

(A) 62     (B) 72       (C) 24

Solution :

Sum of two integers  =  48

One of the integer  =  -24

Let x be the unknown

x + (-24)  =  48

x  =  48 + 24

x  =  72

Question 3 :

Every prime number except 2 is an __________ number.

(A) Odd         (B) Even      (C) Composite

Solution :

2 is the only even prime number.

Question 4 :

Find the ratio of 250 kg to 10 kg.

(A) 25 : 1      (B) 15 : 50     (C) 1 : 25

Solution :

=  250 : 10

=  25 : 1

So, the ratio between 250 kg to 10 kg is 25 : 1

Question 5 :

Solve the equation

3x - 4 = 4 - (8 + 3x)

(A) 5          (B) 2           (C) 0

Solution :

3x - 4  =  4 - (8 + 3x)

3x - 4  =  4 - 8 - 3x

3x - 4  =  -4 - 3x

3x + 3x  =  -4 + 4

6x  =  0

x  =  0

Question 6 :

A dot gives us an idea of a _____________

(A) Ray       (B) Point         (C) Line

Solution :

A dot gives an idea of point.

Question 7 :

Diameter of the circle is 12 cm. Find its radius?

(A) 4 cm      (B) 6 cm      (C) 8 cm

Solution :

Radius is half of the diameter.

=  12/2

Question 8 :

Find the perimeter of the rectangle having length and breadth are 16 cm and 8 cm respectively.

(A) 24 cm      (B) 76 cm         (C) 48 cm

Solution :

Length of the rectangle  =  16 cm, breadth  =  8 cm

Perimeter of the rectangle  =  2 (l + b)

=  2(16 + 8)

=  2(24)

=  48 cm

Question 9 :

Solve for x,  x - 3 = 11

(A) 14          (B) 8      (C) 1

Solution :

x - 3  =  11

x  =  11 + 3

x  =  14

Question 10 :

If the sum of two angles measures 90° then the angles are known as __________ angles.

(A) Complementary    (B) Supplementary    (C) Zero

Solution :

If sum of the two angles is 90 then they are  known as complementary angles.

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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

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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