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WORKSHEET NO.1
RATIONAL NUMBERS
1.
Write
(i)
The rational number that does not have a reciprocal.
(ii)
The rational numbers that are equal to their reciprocals
(iii)
The rational number that is equal to its negative.
2.
Write the addition inverse of
3.
(i)
1
(v)
14
(ii)
3
(vi)
19
(iii)
−6
−3
−8
(iv)
1
Find the multiplicative inverse of
(i)
−21
(v)
−5
4
×
(ii)
−3
7
(vi)
−9
(iii)
−7
−2 ×
3
8
−3
7
Write 5 rational numbers between -3 and 3
5.
Find 5 rational numbers between
(i)
2
3
𝑎𝑛𝑑
4
7
(ii)
−3
2
𝑎𝑛𝑑
5
3
Represent these numbers on the number line
(i)
7.
0
−11
4.
6.
(iv)
−3
8
(ii)
6
7
𝑝
Is 0 a rational number? Can you write in the form ?
𝑞
WORKSHEET NO.2
LINEAR EQUATIONS IN ONE VARIABLE
1.
Solve the following equations
(i)
𝑦 + 11 = 17
(ii)
7𝑥 = 56
(iii)
𝑡
5
= 15
(iv)
14𝑦 − 15 = 13
(v)
4𝑧 + 3 = 11 + 2𝑧
(vi)
8𝑥 + 2 + 5(𝑥 − 1) + 7
5
26
3
3
(vii) 9𝑦 + =
+ 2𝑦
2
(viii) 𝑥 = (𝑥 + 10)
7
(ix)
15(𝑦 − 4) − 2(𝑦 − 9) + 5(𝑦 + 6) = 0
(x)
7𝑦+4
(xi)
9𝑥
2.
𝑦+2
7−6𝑥
=
−4
3
=5
Two numbers are in the ratio 9:7. If they differ by 16, what
are the numbers?
3.
Aman’s age is three times his son’s age. Ten years ago he
was five times his son’s age. Find their present ages.
4.
The ages of Hari and Harry are in the ratior 5:7. Four years
from now the ratio of their ages will be 3:4. Find their
present ages.
WORKSHEET NO.3
UNDERSTANDING QUADRILATERALS
1.
(i)
(ii)
(iii)
Draw
Simple closed curve
Concave polygon
Convex polygon
2.
Is circle a simple closed curve?
3.
What is a regular polygon? Give example.
4.
Sum of the measures of the exterior angles of a polygon is
_____________.
5.
Sum of the angles of a polygon of n sides is ____________
6.
Find the angle measure 𝑥 in the following figures.
(i)
(ii)
7.
Find the measure of each exterior and interior angle of a regular
polygon of 9 sides.
8.
Consider the following parallelogram. Find the value of the
unknowns 𝑥, 𝑦, 𝑧
9.
Rent is a rectangle. Its diagonals meet at O Find 𝑥 and state
which property of rectangle is used to find 𝑥.
10.
(i)
(ii)
(iii)
(iv)
Identify all the quadrilaterals that have.
four sides of equal length
four right angles
diagonals of equal length
diagonals which bisect each other at right angles.
WORKSHEET NO.4
SQUARES AND SQUARE ROOTS
CUBES AND CUBE ROOTS
1.
Find the square roots of the following numbers by the Prime
factorization method.
(i)
4096
(ii)
7744
(iii)
5929
2.
Find the smallest number by which it should be multiplied
so as to get a perfect square number.
(i)
768
(ii)
1458
3.
Find the square root by Division method
(i)
2401
(ii)
1764
4.
Find the smallest number by which it is must be divided to
obtain a perfect cube,
(i)
53240
(ii)
68600
5.
Find the cube root by prince factorization method
(i)
17576
(ii)
74088
(iii)
3375
WORKSHEET NO.5
DATA HANDLING
COMPARING QUANTITIES
1.
The marks (out of 50) obtained in Maths by 30 students of
Class VIII are
21, 30, 10, 22, 33, 5, 37, 12, 25, 42, 15, 39, 26, 32, 18, 27,
18, 27, 28, 19.
Using tally marks make a frequency distribution table.
2.
Adjoining pie chart gives the expenditure (in percentage) on
various items and savings of a family during a month.
(i)
On which item, the expenditure was maximum?
(ii)
Expenditure on which item is equal to the total savings of
the family?
(iii)
If the monthly saving of the family is Rs.3000, what is the
monthly expenditure on clothes?
3.
When a die is thrown, what is the probability of getting a
(i)
a prime number
(ii)
an even prime number
(iii)
a number greater than 4
4.
The cost of a pair of roller skates at a shop was Rs.450. the
sales tax charged was 5%. Find the bill amount.
5.
Meenu bought 2 fans for Rs.1200 each. She sold one at a
loss of 5% and other at a profit of 10%. Find the selling
price of each. Also find the total price or loss.
6.
Find the amount and compound interest on Rs.12,600 for 2
years at 10% per annum compounded annually.