Perimeter Area Volume Formulas

Perimeter formula
Square	4 * side
Rectangle	2 * (length + width)
Parallelogram	2 * (side1 + side2)
Triangle	side1 + side2 + side3
Regular n-polygon	n * side
Trapezoid	height * (base1 + base2) / 2
Trapezoid	base1 + base2 + height * [csc(theta1) + csc(theta2)]
Circle	2 * pi * radius
Ellipse	4 * radius1 * E(k,pi/2) E(k,pi/2) is the Complete Elliptic Integral of the Second Kind k = (1/radius1) * sqrt(radius12 - radius22)
Area formula
Square	side2
Rectangle	length * width
Parallelogram	base * height
Triangle	base * height / 2
Regular n-polygon	(1/4) * n * side2 * cot(pi/n)
Trapezoid	height * (base1 + base2) / 2
Circle	pi * radius2
Ellipse	pi * radius1 * radius2
Cube (surface)	6 * side2
Sphere (surface)	4 * pi * radius2
Cylinder (surface of side)	perimeter of circle * height
	2 * pi * radius * height
Cylinder (whole surface)	Areas of top and bottom circles + Area of the side
	2(pi * radius2) + 2 * pi * radius * height
Cone (surface)	pi * radius * side
Torus (surface)	pi2 * (radius22 - radius12)
Volume formula
Cube	side3
Rectangular Prism	side1 * side2 * side3
Sphere	(4/3) * pi * radius3
Ellipsoid	(4/3) * pi * radius1 * radius2 * radius3
Cylinder	pi * radius2 * height
Cone	(1/3) * pi * radius2 * height
Pyramid	(1/3) * (base area) * height
Torus	(1/4) * pi2 * (r1 + r2) * (r1 - r2)2

Source: Spiegel, Murray R. Mathematical Handbook of Formulas and Tables.
Schaum's Outline series in Mathematics. McGraw-Hill Book Co., 1968.

Maths Class 5 Worksheet 1

Answer the following. List the first five multiples of 7. Is 32 a multiple of 12. Subtract 39 thousand from 47 thousand. Multiple of zero is _________ Is zero an even number. Find all the Factors of following.

1) 14	2) 33		3) 25
Find Common Factors of following 1) 12,16            2) 20,30 3) 11,21 Find Least Common Multiple (LCM) for each number set. 1)       4 and 16 = 2)   6 , 12 and 18 = 3)    9,  36  =

Find the Greatest Common Factor for each number pair.

1 ) 15,35                                           2 ) 12,32                                           3 ) 18,42

Word Problems                                                                                                                                                                               

1) Seema added 11780  to a number. She got a sum of 18035. Find the number.  his glasses. How many cups does Ravi have left?

2) A farmer produced 29890 kg of wheat. How many bags will he buy to store the wheat if one bag Can hold 70 kg of wheat.

Find missing number.

1.    150 − _____ = 70	3.    _____ − 10 = 980	5.    _____ − 90 = 500
2.    730 − _____ = 660	4.    _____ − 100 = 750	6.    960 − _____ = 950

Maths class 4 Worksheet

1.     Smallest number of 5 digits.

2.     Factor is the exact _______ of the number.

3.     Every number  is a factor of _________

4.     ________ is a factor of zero.

5.     A factor of a number is either less than or _______ to number.

6.     Round of to nearest thousand  a)  13890                                                                                                                     b)  25318

7.     What is minuend and subtrahend.

8.     Find the difference between 34057 and 29934.

9.     When the divisor is 1 then the quotient will be _____ number as the dividend.

10.                        When the dividend is 0 and the divisor is any number(other than zero) the quotient will be ______.

11.                        Every multiplication fact has ______ division fact.

12.                        Every division fact has ______multiplication fact.

13.                        Divident = __________ x _________ + ___________.

14.                        Simplify   2958- 1034 + 3838 - 2993

15.                        The smallest multiple of a number is _________.                                                        

16.                        What is prime number and composite number.

17.                        Give all the possible division facts of           7 x 8 = 56   

18.                        Find the place value of 6 and 8 in 67894.

19.                        How many hundred are there in 87655, 93458.

20.                        Write the greatest 3 digit number using .a) all different digits.                                                                                                          b) repetition is allowed.

21.                        Find the difference when subtrahend = 4395;  minuend = 8600      

22.                        Write the division  fact of         6 x 9 = 54.

19. Subtract 39 thousand from 47 thousand.

20. Is zero a even number (T/F).

21. Is 32 multiple of 9.