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
(i) 13 (ii) 19-6 (iii) -3-8 (iv) 0
(v) 14 (vi) -11
3. Find the multiplicative inverse of
(i) -21 (ii) -9-7 (iii) 38 (iv) 1
(v) -54×-37 (vi) -2 ×-37
4. Write 5 rational numbers between -3 and 3
5. Find 5 rational numbers between
(i) 23 and 47 (ii) -32and53
6. Represent these numbers on the number line
(i) -38 (ii) 67
7. Is 0 a rational number? Can you write in the form pq?
WORKSHEET NO.2
LINEAR EQUATIONS IN ONE VARIABLE
1. Solve the following equations
(i) y+11=17
(ii) 7x=56
(iii) t5=15
(iv) 14y-15=13
(v) 4z+3=11+2z
(vi) 8x+2+5x-1+7
(vii) 9y+53=263+2y
(viii) x=27(x+10)
(ix) 15y-4-2y-9+5y+6=0
(x) 7y+4y+2=-43
(xi) 9x7-6x=5
2. 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. Draw
(i) Simple closed curve
(ii) Concave polygon
(iii) 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. Identify all the quadrilaterals that have.
(i) four sides of equal length
(ii) four right angles
(iii) diagonals of equal length
(iv) 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.