Download SET B - Goodley Public School

GOODLEY PUBLIC SCHOOL
SHALIMAR BAGH
MATHS ASSIGNMENT
CLASS-VII
SET-B
INTEGERS
Q1 Simplify: (-2) X (3) X (-4) X (5) X (-6) X (-7)
Q2 Find the value of |−71| − |−36|
Q3 Evaluate : (a) (-8) X (-9) X (-6) X (13)
(b) (-7) X (-11) –(-5) X (-9) + (-13) X4
Q4 On the number line, show the products:
(a) (-2) X 5
(b) (-3) X 4
Q5 Multiply (-9) by (-6) and find its additive inverse.
Q6 Using properties of multiplication, find :
(a) (-78) X 49
(b) 56 X (-19) + 56 X (-1)
RATIONAL NUMBERS
Q1 Add:
(a)
−13
33
and
8
11
5 9
6 16
and
−11
24
(b) ,
Q2 Subtract:
(a)
−5
18
from
−19
24
Q3 Subtract the sum of
Q4 Simplify:
−11
7
+ 18
24
11
12
and
−5
6
7
from 2.
1
+ (−9) + (−2 8)
−9
57
Q5 Find the products: ( 19 ) 𝑋 (25)
1
Q6 what should be added to (−2 9) to get 11?
65
8
Q7 Divide the sum of 22 and 3 by their difference.
2
Q9 A train covers a distance of 190 km in 2 hours. What distance will it cover in 4 3 hours?
POWERS AND EXPONENTS
Q1 Find the value of each of the following:
(i)
(ii)
(iii)
(−1)27 + (−1)38
(−1)29 − (−1)30
(−1)16 𝑋 (−1)30 𝑋 (−1)18
Q2 Evaluate :
12
4
(a) [(32 )]
2
(1)3
(1)2
3
(b) [(4) ] ÷ [(4) ]
Q3 Express each of the following as a product of prime factors:
(a) 243 X 64
(b) 3125 X 1331
Q4 Express each of the following in exponential form:
(a) -1000000000000
343
(b) 1331
Q5 Find the value of:
190 +200 +210
220 +230
Q6 Write in standard form (scientific notation) :
(a) 30049
(b) 6570000
Q7 Write in standard form:
(a) 283 𝑋 105
(b) 0.237 𝑋 108
DATA HANDLING
Q1 Find the range of the data 10,13,8,25,17,4,19,20.
Q2 The weights (in kg) of 10 students in a class are: 30,27,36,29,32,28,33,31,38,35. Find the mean
weight.
Q3 The mean of 5 numbers is 18. If one number is excluded, the mean comes t o be 16. Find the
excluded number
Q4 The mean of 7 numbers is 27.If one more number is included, the mean comes out to be 28.
Find the new number.
Q5 The mean of 40 observations was 160. On rechecking it was found that 165 was misread as
125. Find the correct mean.
Q6 Find the median: 30,22,13,31,19,25,17,15,40
Q7 Find the median of the data: 13,15,8,5,11,10,6,17,31,20.
ALGEBRAIC EXPRESSIONS
Q1 Subtract:
(a) 3x+5y-2z from 8x+11y+5z
(b) 𝑥 2 − 2𝑥 2 + 12𝑥 − 5 from 5𝑥 2 − 7 − 3𝑥 3 + 2𝑥
Q2 Subtract 3 − 𝑥 + 𝑥 2 − 2𝑥 3from the sum of 1 + 𝑥 − 𝑥 2 + 𝑥 3 and 𝑥 3 + 3𝑥 2 − 2𝑥 + 3
Q3 What must be added to 2𝑎2 − 7𝑎𝑏 + 5𝑏 2 to get 𝑎2 + 4𝑎𝑏 − 3𝑏 2
Q4 If A=𝑥 2 + 2𝑥 + 1,B = 3𝑥 2 − 8𝑥 + 4 and C= 2𝑥 2 + 3𝑥 − 2, find A-B-C.
Q5 If 𝑥 = −2 find the value of 𝑥 3 − 3𝑥 2 + 3𝑥 − 1
Q6 If 𝑚 = 5 and 𝑛 = −2 find the value of 𝑚2 − 2𝑚𝑛 + 𝑛2
TRIANGLE AND IT’S PROPERTIES
Q1 Find the perimeter of a frame which has 6cm as length and diagonal is 10cm long.
Q2 Can we construct a triangle with sides (in cm.)
(a) 7,6,5
(b) 4,3,8
Q3 If an exterior angle of a triangle is 120° and one of the interior opposite angle 40°, find the
measure of remaining angles of the triangle.
Q4 The lengths of 2 sides of a triangle are 12cm and 15cm. Between what two measures should
the length of third side fall?
Q5 The angles of a triangles are in the ratio 2:3:4, find the angles of this triangle.
Q6 Prove the angle sum property of a triangle.
LINES AND ANGLES
Q1 What is the measure of an angle which is the complement of itself?
Q2 What is the measure of complement of an angle whose measure is 67° ?
Q3 What is the supplement of an angle whose measure is 49°?
Q4 If an angle is 3/5 of its supplement, find its measure.
Q5 Draw two parallel lines AB and CD. Draw a transversal to it. Mark and name all the angles
so formed.
Q6 If an angle is 6 degree less than twice its supplement, find their measures.