GRADE 6 MATH QUIZ

Grade 6 Math Quiz :

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

Question 1 :

A train travels 18 km/hr. How many meters will it travel in 12 minutes.

(A) 3600         (B) 4200          (C) 5100

Solution

Question 2 :

The average age of 30 kids is 9 years. If the age of teacher is included, the average age becomes 10 years. What is the age of teacher?

(A) 26            (B) 58            (C) 40

Solution

Question 3 :

If the height of a cylinder is 7 cm and the radius is 3 cm, then the surface area of the cylinder is ?

(A) 150          (B) 132          (B) 143

Solution

Question 4 :

Jack purchases a calculator for $350 and sells for $420.Then the percentage of profit is

(A) 10%           (B) 20%             (C) 50%

Solution

Question 5 :

The average of 6 numbers is 8. What is the 7th number, so that its average will become 10 ?

(A) 15        (B) 22        (C) 12

Solution

Question 6 :

Find the number of prime factors of 6¹⁰ × 7¹⁷ × 55²⁷

(A) 100            (B) 91          (C) 64

Solution

Question 7 :

If 12 man can do a piece of work in 36 days. Within how many days 18 men can do the same work ?

(A) 27        (B) 24          (C) 22

Solution

Question 8 :

A man traveled from the village to the post office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the entire journey took 5 hours 48 minutes, determine the distance of the post office from that village.

(A) 20           (B) 13         (C) 20

Solution

Question 9 :

The sum of reciprocal of (3/2) and the reciprocal of 3 is

(A) 2           (B) 1            (C) 5

Solution

Question 10 :

It is 9 hours now in a 12 hour clock. What will be the time after 18 hours ?

(A) 2           (B) 4          (C) 3

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 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