Maths Worksheet

1. JAI GURU DEV
MAHARISHI VIDYA MANDIR SR. SEC. SCHOOL, CHETPET, CHENNAI – 31
ACADEMIC YEAR 2021 – 2022
REVISION WORKSHEET FOR PREPARATORY EXAMINATION - 2
CLASS: VIII SUBJECT: MATHS
1. How many non-square numbers lies between 992
and 1002
?
2. Find the square root of the following :
a) 7744 b) 47089 c) 0.168921 d) 4.4521
3. Find the value of : a ) √
1183
2023
b) √147 × √243
4. Find the cube root of : a)
1728
4913
b)
91125
42875
c) 2.197
5. Evaluate : a) √49 × 12096
3
b) √4096 × 4913
3
6. Divide : a)
5𝑥2+ 6𝑥−12
𝑥+2
b)
9𝑥3+ 3𝑥2− 17𝑥+ 9
3𝑥2+ 5𝑥+1
7. If 𝑥2
+
1
𝑥2 = 66 , find the value of (𝑥 -
1
𝑥
)
8. Find the product of : a) ( m + 2 ) ( m – 2) (𝑚2
+ 4 )
b) ( 2 𝑥 − 3𝑦) ) ( 2 𝑥 − 3𝑦) (4𝑥2
+ 9𝑦2
)
9. If (𝑥 +
1
𝑥
) = 7 , find the value of (𝑥2
+
1
𝑥2 )
10.Factorise : a) 13𝑥3
+ 39𝑥2
- 52 𝑥 b) 𝑥2
- 18𝑥 + 81 c) 𝑥2
+ 6𝑥 - 72
d) m𝑥 + 𝑛𝑥 + 𝑚𝑦 + 𝑛𝑦 e) 𝑎2
+ 𝑏2
– 2ab – 1
11. Solve : a) 10𝑥 - 21 = 3𝑥 b ) 7𝑥 + 4(𝑥 + 6 ) - 4 = 9
c)
6𝑥+5
7𝑥+2
=
2
5
d)
7𝑦+2
5
=
6𝑦−5
11
12. The sum of three consecutive multiples of 13 is 819. Find these multiples.
13. Shravan sold his mobile for ₹9000 at a loss of 10% . If he wanted a profit of
10% , at what price should he have sold it ?
14. A shopkeeper offers a discount of 10% on T – shirts. If the marked price of the
T-shirt is ₹ 450 . Calculate the selling price.
15. Find a number such that when 5 is subtracted from 5 times the number, the
result is 4 more than twice the number.
16. Reema types 540 words during half an hour. How many words would she type
in 6 minutes.

2. 17. A worker is paid ₹ 210 for 6 days work. If his total income of the month is
₹875 , for how many days did he work ?
18. If 52 men can do a piece of work in 35 days, in how many days 28 men will do
it ?
19. After allowing a discount of 12% on the marked price of an article, it is sold for
₹880. Find its marked price.
20. The marked price of a ceiling fan is ₹720. During off season , it is sold for
₹684. Determine the discount % .
21. Vikram bought a watch for ₹825. If this amount includes 10% GST on the
marked price. What was the marked price of the watch ?
22. What will be the compound interest on ₹4000 in 2 years when rate of interest is
5% per annum.
23. In what time will ₹5000 becomes ₹6655 at 10% p.a compounded annually ?
24. At what rate percent per annum , compound interest will ₹10000 amount to
₹13310 in 3 years ?
25. Rachana borrowed a certain sum at the rate of 15% p.a. If she paid at the end
of 2 years ₹1290 as interest compounded annually , find the sum she borrowed.
26. The precent price of a scooter is ₹7290. If its value decreases every year by
10% then find its value before 3 years.
27. How many diagonals does each of the following have ?
a) A quadrilateral b) A regular hexagon c) A triangle d) A regular Octagon
28. The four angles of a quadrilateral are 3:5:7:9 . Find all the angles. Also find the
largest and the smallest angle.
29. An angle of rhombus is 120°. Find the other angles.
30. Two adjacent angles of a parallelogram are 2:3 . Find the measure of all
angles.
31. ABCD is a parallelogram in which ∠𝐷𝐴𝐵 = 75° and ∠𝐷𝐵𝐶 = 60°.
Calculate ∠𝐶𝐷𝐵 and ∠𝐴𝐷𝐵.

3. 32. If the diagonals of the rhombus are 12cm and 16cm , find the length of each
side.
33. The area of a trapezium is 960𝑐𝑚2
. If the parallel sides are 34cm and 46cm ,
find the distance between them.
34. How many 5cm cubes can be obtained from a cube whose edge is 20cm?
35. Find the height of a cylinder whose radius is 7cm and total surface area is
968𝑐𝑚2
?
36. A hollow cylindrical pipe is 21 dm long. Its Outer and inner diameters are 10cm
and 6cm respectively. Find the volume of the copper used in making the pipe.
37. The diameter of the base of a right circular cylinder is 42cm and its height is
10cm.Find the curved surface area and total surface area .
38. The ratio between the radius of base and height of a cylinder 2:3 . Find the
total surface area if its volume is 1617𝑐𝑚3
.
39. Draw a histogram for the daily earnings of 30 medical stores in the following
table:
40.
Draw a pie-chart for the following data of expenditure pattern in a family.
41. One card is drawn from a pack of 52 cards. Find the probability of getting
a) a red card b) a face card c) red card and a king
42. Plot the points A ( 3, 2 ) , B (10 ,6 ) , C ( 11, 10 ) D ( 4 , 6 ). Join AB , BC ,
CD and DA. What do you observe ?
Daily
earnings
450-500 500-550 550-600 600-650 650-700
No. of stores 16 10 7 9 1
Items Food Clothing Rent Education Miscellaneous
Expenditure(₹) 4000 2000 1500 1500 1

4. JAI GURU DEV
MAHARISHI VIDYA MANDIR SR. SEC. SCHOOL, CHETPET, CHENNAI – 31
ACADEMIC YEAR 2021 – 2022
REVISION WORKSHEET FOR PREPARATORY EXAMINATION – 2.
CLASS: VIII ANSWER KEY SUBJECT: MATHS
1. 198
2. a) 88 b) 217 c) 0.411 d) 4.4521
3. a)
13
17
b)189
4. a)
12
17
b)
45
35
c) 1.3
5. a)84 b) 272
6. a) 5𝑥 − 6 b) Q = 3𝑥- 4 , R = 13
7. 8
8. a) 𝑚4
- 16 b)16𝑥4
- 81𝑦4
9. 47
10. a) 13 𝑥 (𝑥 + 4 )( 𝑥 − 1 ) b) (𝑥 − 9) ( 𝑥 − 9)
c) (𝑥 + 12) ( 𝑥 − 6) d) (𝑥 + 𝑦) ( 𝑚 + 𝑛 )
11. a) 3 b)
−21
16
c) -1 d) -1
12.
13. C.P = ₹ 10000 S.P = ₹ 11000
14. ₹ 405
15. 3
16. 108
17. 25 days
18. 65 days
19. ₹1000
20. 5%
21. ₹750
22. C.I = ₹410
23. 3 years
24. 10%
25. ₹4000
26. ₹10000
27. a) 4 b) 9 c) 0 d) 20
28. 45° , 75° , 105° , 135° largest angle= 135° smallest angle = 45°
29. 60° , 120° , 60°
30. 72° , 108°

5. 31. ∠𝐶𝐷𝐵 = 45° , ∠𝐴𝐷𝐵 = 60° ( Alternate angles )
32. 10 cm
33. h = 24 cm
34. 64 cubes
35. h = 15 cm
36. 10560 𝑐𝑚3
37. C.S.A = 1320 𝑐𝑚2
, T.S.A =4092 𝑐𝑚2
38. r = 7cm , h= 10.5 cm T.S.A = 770𝑐𝑚3
39. Do it by yourself
40. Do it by yourself
41. a)
1
2
b)
3
13
c)
1
26
42. Join all the points. Diagram - Parallelogram