DPS-MODERN INDIAN SCHOOL

SUMMER HOLIDAY HOMEWORK (2015-2016)

MATHEMATICS- CLASS VII

INTEGERS

I. Simplify using suitable property.

a. (-152) x 97 + 152 x (-3)

b. (-40) x 4 x 125

c. -57 x (-19)+57

d. 83 x (-99)+(-83)

II. Verify the following

a. 10 x {8-(-3)}= 10 x 8 – 10 x (-3)

b. (-25) x {(-9)-(-4)}= (-25) x (-9)- (-25) x (-4)

III. Write down:

a. A pair of negative integers whose sum is -8.

b. A pair of negative integers whose difference is -4.

c. A negative integer and a positive integer whose difference is 4.

IV. In a class test, containing 20 questions 6 marks are awarded for every

correct answer and (-2) marks for every incorrect answer and 0 marks for

answers not attempted. Rita gets 9 correct answers and 11 incorrect

answers. Find her score.

V. The product of two numbers is -180.If one number is 12, find the other

number.

VI. An aero plane was flying at a height of 1600m.From the time it started to

land; it made a change of 70m in every minute. How many minutes will it

take to descend to a height of 200m?

FRACTIONS AND DECIMALS

I. Find the value of:

a. + +

b. 2 - 1 +4

c. 7 - 4

d. 2 + 1 -

e. 19 x 1

f. 4 ÷ 2

g. 23.487-12.52+10.52

h. 31.25÷0.05

i. 1.024÷12.8

II. Find the area of a rectangular park which is 15 cm long and

13 cm wide.

III. What should be added to 2 to get 4 ?

IV. By what number should 5 be multiplied to get 3 ?

V. How much is 29.425 less than 50?

VI. A car covers a distance of 198.2km in 4.4hours.Find the

distance covered by the car in an hour.

VII. Express the following as mentioned:

a. 150paisa as

rupees.

b. 415m as km.

c. 243cm as m.

d. 25mg as g.

RATIONAL NUMBERS

I. Express in the standard form:

a. −

b. − c. −−

II. Represent the following on the number line:

a. and −

b. −

and −

III. Write the rational numbers represented by A, B, C and D on

the following number line. Given PA=AB=BQ and

RC=CD=DS.

IV. Find five rational numbers between

a. −

and −

b. −

and −

c. −3 and 0.

V. Simplify

a. −

x−

_ −

x

b. − ÷ +

c. −

x + x 0 - − x

VI. Find the value of

a. − ÷ (-14)

b. ÷ −

c. x

d. − x −

e. − + -

f. −− -

−

VII. The sum of two rational numbers is−

. If one of the

rational number is − , find the other.

LINES AND ANGLES

I In the adjoining figure, name the following pairs of angles:

E

A D

O

B C

a. Obtuse vertically opposite angles.

b. Adjacent complementary angles.

c. Equal supplementary angles.

d. Unequal supplementary angles.

e. Adjacent angles that do not form a linear pair.

II. In the given figure,l║m. Find the values of a, b, c, d, e, and f.

Give reasons.

a. 120 c l

a 85

b e m

d f

b. l║m and p║q. p q

a l

105

b c m

e d

III. Are the lines l and m parallel to each other in the

following figures? Give reason.

98 l

m

53

127

35 p

146 q

t

ALGEBRAIC EXPRESSIONS

I Frame the algebraic expressions for the following:

a. Half of a number m added to 7.

b. Difference of the squares of numbers x and y.

c. One-sixth of the product of numbers a and b.

d. Sum of the numbers a and b added to their product.

e. 7 times a number added to its square.

II Identify the terms and their factors in the following using

tree diagram. a. – +2xyz b. -4+5x+4 �. -7x +4xy-6

III. Write the terms containing x and also find the co-efficient of x.

a. 4y +7xy

b. 1+x+ y

c. x+3xy+4yz

d. 13� -88x

IV. Find the sum of:

a. p+q, 2p-q+7, 3p-5q+6

b. 3 +11 – , -5 -3 +11

c. 4x +5y +7, -5x-y-3, 3x-3y+2

V. Subtract

a. 3� +6b from 3� +6b

b. -3� +6m+3 from 5� -9

c. a(b-5) from b(5-a)

VI. From the sum of 5x-2y+11 and –y-11, subtract 5x-2y-11.

VII. Three sides of a triangle are 2 +3x+1, +7 and 3 -2x

+3. What is its perimeter?

VIII. Simplify and find the value

a. 3x-5-x+9x+4 when x=-2

b. -5� + 4a +5(-� +5) when a=2

c. 2( +xy) +7 –xywhenx=7 and y=-2

EXPONENTS AND POWERS

I. Express each of the following in exponential form.

a) 1080 b) 648 c) 2187 d) 64 x243

II. Simplify each of the following using laws of exponents.

a. ( + ) x

b. − ÷ − x −

c. x x ÷ 8 x x 9

d. x x25 ÷ x

e. x x5 ÷ x 8

f. ( x

III. Express the following numbers in the standard form.

a. 30895600 b. 73925.6 c. 1005678900

IV. Express the numbers from each of the following.

a. 7x +6x +4x +5

b. 5x +6x +3x +4x +2x +2x10+2