GRADE 6 MATH PRACTICE TEST WITH MIXED TOPICS

Grade 6 Math Practice Test with Mixed Topics :

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

Question 1 :

The value of (1/2!) – (3/3!)

(A) 1         (B) 5         (C) 0

Solution

Question 2 :

The angle between x and y axes on any graph sheet is

(A) 10      (B) 50       (C) 90

Solution

Question 3 :

John is two years younger to Jack. Jack is 3 years elder to Kevin. If Kevin is 35 years old, how old is John?

(A) 50        (B) 36      (C) 17

Solution

Question 4 :

What is the probability of getting three heads when four fair coins are tossed once?

(A) 2/5         (B) 1/4        (C) 1/8

Solution

Question 5 :

Find the area of a sector whose perimeter is 110 cm and radius 20 cm.

(A) 600 Sq.cm        (B) 500 Sq.cm      (C) 700 Sq.cm

Solution

Question 6 :

Mr. Roy sells shirt for $24 and he gets profit of $4. What is the percentage of profit?

(A) 10%           (B) 20%           (C) 15%

Solution

Question 7 :

If 2, a, 3, 6 are in proportion, then the value of a is

(A) 7        (B) 4       (C) 2

Solution

Question 8 :

What is the value of -5 + 3 ?

(A) -1      (B) -2     (C) -7

Solution

Question 9 :

You have two lands to buy at the same cost. One is in square shape with the side length of 40 ft. The other one is in rectangle shape with the length 30 ft and width 50 ft. Which is better deal ?

(A) Rectangle      (B) Square       (C) None of these

Solution

Question 10 :

(A)   1         (B)  3          (C)  6

Solution

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WORD PROBLEMS

HCF and LCM  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 fractions

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