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imo worksheet for practice class 9 and 10
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Assignment:
1) 6,12,21,___,48,66
2) 125,80,45,20,___
3) 22,24,28,___,52,84
4) 1,3,3,7,6,13,10,___,15,31
5) 3,1,7,3,13,7,21,15,31,31,___,63,57
6) DF, JL, PR, ??
7) C, F, I, L, ?, R
8) PQR, RQP, PQRS, SRQP, PQRST, ?
9) 0,1,1,2,4,8,16,32, __
10) If 2+3=6, 3+4=12, value of 4+5 is
11) If 1[2]3=5, 2[3]4=11, then 4[2]1 is
12) If 12=3, 23=5, 33 is
13) The sides of a right triangle are a, a+d, a+2d with a and d both positive. What is the value of ratio a:d ?
14) The mean of 10 numbers is 20. If 5 is subtracted from every number, what will be the new mean?
15) In the group of 26 girls Anna's Position is 7th from the bottom. What is the position of Anna from the top of
the group ?
16) If Rekha can type a page in 'm' minutes, what piece of the page she can do it in 10 minutes?
17) a b c d e a b c _ a b _ _ b _
(a) d c d c (b) d c a c (c) d c a a (d) d c c c
18) Mahesh walks 20m North then he returns right and walks 30m. Now he turns right and walks 35m. After
turning left, he walks 15m. Again he turns left and moves 15m. In which direction and how far is he from his
original position?
(a) 15m east (b) 45m east (c) 15m west (d) none of these
19) How many times between 3 O'clock and 6 O'clock will hands of a clock coincide?
(a) 5 times (b) 2 times (c) 4 times (d) 3 times
20) One half of the difference between the number of degrees in a rectangle and the number of degrees in a
triangle is
(a) 360° (b) 240° (c) 180° (d) 90°
21) The sides of a right triangle are a, a+d, a+2d with a and d both positive. What is the value of ratio a:d ?
(a) 1: 3 (b) 1:4 (c) 2:1 (d) 3:1
22) In a group of cows and hens, the number of legs was 14 more than twice the number of heads. the number
of cows is
(a) 5 (b) 7 (c) 12 (d) 14
23) Each edge of cube is increased by 50%. The percent increase in surface area of the cube will be:
(a) 50 (b) 125 (c) 150 (d) 300
24) A student was asked to multiply a given number by 4/5. By mistake he divided it by 4/5. His answer was 36
more than the correct answer. Find the given number.
(a) 80 (b) 60 (c) 36 (d) 63
25) A number is divisible by 3, if
(a) the last digit is 3 (b) the last digit is 6
(c) the last two digits are 3 (d) sum of digits is divisible by 3
26) A number lies between 1000 and 2000. On division by 2,3,4,5,6, 7 and 8 it leaves remainders 1,2,3,4,5,6
and 7 respectively. The number is:
(a) 1876 (b) 1778 (c) 1679 (d) 1654
27) 1400 men in a fortress have provisions for 28 days. After 3 days, 400 men leave the fortress. How long will
the food last now?
(a) 35 days (b) 32 days (c) 30 days (d) 28 days
28) In a parallelogram ABCD the ratio between angles $\angle A$ and $\angle B$ is 1:2. Find the $\angle A$ ?
(a) 60 (b) 90 (c) 90 (d) 180
29) Where does the line y = x - 3 cross the y-axis?
(a) (2, 3) (b) (0, -3) (c) (-3, 2) (d) (-3, 3)
30) The ratio of the volumes of cylinder and cone of equal radii and height is:
(a) 1:3 (b) 3:1 (c) 1:1 (d) 1:2