Download Summer HHW class 8 Math - Kendriya Vidyalaya Bairagarh

KENDRIYA VIDYALAY BAIRAGARH
HOLIDAY HOME WORK CLASS – VIII
Chapter 1
Rational Numbers
TYPE A
1. The sum of the rational numbers -5/16 and 7/12 is
(a) -7/48 (b) -11/30 (c) 13/48 (d) 1/3
2. The reciprocal of a positive rational number is ____.
(a) negative (b) positive (c) zero (d) none of these
3. What number should be subtracted from -3/5 to get –2?
(a) – 7/5 (b) –13/ 5(c) 13/5 (d) 7/5
4.Which of the following number is irrational
(a) 1.35253525… (b) 1.414(c) 1.3525225222… (d) 1.732
5. For what value of ‘a’ the number -11/a is not a rational number.
(a) -1
(b) 1
(c) 0
(d) 10
TYPE B
6. Multiply the reciprocal of 9/11 by the additive inverse of -18/55
7. Find the additive inverse of the multiplicative inverse of the expression
(-3/5)x(-10)
8. What are the identity elements for the addition and multiplication of rational numbers?
9. Subtract the additive inverse of 5/6 from the multiplicative inverse of (-5/7) x (14/15)
10. By what number should -15/56 be divided to get -5/7.
11. If 1/3 of a number exceeds its 2/7 by 1 find the number.
12. Write the multiplicative inverse of -4/5
TYPE C
13. Find 4 rational numbers between 2/5 and 1/3 .
14. Rita had Rs300. She spent 1/3of her money on notebooks and 1/4of the remainder
on stationery items. How much money is left with her?
15. What should be added to -4/7 to get 3/21?
16.The product of two numbersis 80.If one of them is 40/3.Find the other.
17 Insert three rationalnumbers between 1/6 and 1/3.
TYPE D
20.Find ten rational numbers 2/5 and 3/7?
21.Verify that –(-x) is the same as x for (i) x=13/17 (ii) -21/31
22.Represent -7/11,-9/11,-10/11 on the number line
23. The cost of 7/2 kg wheat is Rs 63. How much will 5/4 kg wheat cost?
CHAPTER 2 Linear Equations of one or two Variables
1.Which of the following is not a linear equation
(a) -3x-1=-2x
(b) 3x-4y=2
2 If 50/x+4=14,then x is
(c) xy-3=x
(d) x-5=x-2
a) 5
(b) 2
(c) 25/9
(d) 10
3.Five times a number exceeds 60 by 5,then the number is
a) 12
(b) 14
(c) 13
(d) 11
4.The two consecutive multiples of 3 whose sum is 57 are
a)23,35
(b) 27,30
(c) 21,36
(d) 28,29
TYPE 2
5. Three consecutive integers add up to 51. Find the integers
6 Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The final result is
3 times her original number. Find the number
7. Solve 2(3x+1)-5x=2(3x-1)
8 The sum of three consecutive multiplesof11 is 363. Find these multiples.
9.The difference betweentwo whole numbers is 66.The ratio of two of the numbers is2:5,what are the
two
numbers
Type C
10 A positive number is 5 times another number. If 21 is added to both the numbers then one of the new
numbers
becomes twice of another new numbers. Find the original numbers.
11 Sum of the digits of a two digit number is 9. When we interchange the digits the new number is 27 greater
than the
earlier
number. Find the number.
12 One of the digits of a two digit number is three times the other digit. If you interchange the digits and
add the
resulting number to original number you get 88 as final result. Find the numbers.
13 Shoe’s mother’s present age is six times Sahoo’s present age. Five year from now Sahoo’s age will be onethird of
his mother’s age. Find their current age.
14 Hari and Harry’s age are in the ratio of 5:7. Four years later the ratio of their ages will be 3:4. Find their
current ages.
15 A man’s age is three times his son’s age. Ten years ago his age was five times his son’s age. Find their
current ages.
TYPE 4
16. Lakshmi is a cashier in a bank. She has notes of denominations of Rs. 100, 50 and 10respectively. The ratio
of
number of these notes is 2:3:5 respectively. The total cash with Lakshmi is 4,00,000. How many notes of each
denomination does she have?
.
17. There is a narrow rectangular plot. The length and breadth of the plot are in the ratio of 11:4. At the rate of
Rs. 100 per metre it will cost village panchayat Rs.75000 to fence the plot. What are the dimensions of the
plot.
18. Hasan buys two kinds of cloth materials for school uniform. Shirt material cost him Rs. 50 per metre and
trousers material cost him Rs. 90 per metre. For every 2 metres of the trousers material he buys 3 metres
of shirt material. He sells them at 12% and 10% profit respectively. His total sale is Rs. 36,660. How much
trousers material did he buy? ( 200m)
19. Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The
rest 9 are
drinking water from the pond. Find the total number of deer in the herd.
20. The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth.
What are the length and breadth of the pool?