8TH GRADE MATH PRACTICE QUESTIONS

Question 1 :

What is the value of square root of 81? 

(A)  81              (B)  3               (C)  9 

Need solution

Question 2 :

Find the area of a right angled triangle, if the radius of the circumcircle is 5 cm and altitude to the hypotenuse is 4 cm. 

(A)   20 cm²              (B)   10 cm²           (C)   30 cm²

Need solution

Question 3 :

The volume of cubical box is 46.656 cubic meters. Find the length of the side of the cubical box. 

(A)   3.6 m              (B)   5.2 m           (C)   7.8 m

Need solution

Question 4 :

The sum of the digits of a two digit number is 15 and if 9 is added to the number the digits are interchanged. Find the required number. 

(A)  78          (B)   87         (C) 96

Need solution

Question 5 :

In a circle with center O and radius 17 cm, PQ is a chord at a distance of 8 cm from the center. Find the length of the chord. 

(A)  30 cm     (B)  15 cm     (C)  24 cm  

Need solution

Question 6 :

The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm³ find its radius.

(A)  5 cm         (B)  6 cm        (C)  7 cm  

Need solution

Question 7 :

The mean weight of 4 boys is 56 kg and that of 6 girls in 46 kg. find the combined mean weight of 10 students.

(A)  40 kg     (B)  36 kg     (C)  50 kg  

Need solution

Question 8 :

The arithmetic mean of 8, 10, x and 12 is 9. Find the value of x. 

(A)  6                (B)   8               (C)   9

Need solution

Question 9 :

Find the number of sides of regular polygon whose exterior angle measure of 45 degree.

(A)  6 sides               (B)   8 sides               (C)   9 sides

Need solution

Question 10 :

Simplify the expressions and evaluate them as directed.

x (x-3) + 2 for x = 1 

(A)  0               (B)  5             (C)  3

Need solution

Answer Key

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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