Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 847 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.What is the remainder when 301 is divided by 8? (a) 6 (b) 3 (c) 5 (d) 4
2. 2.What is the value of the digit 6 in 94.613? (a) 6 (b) 0.06 (c) 0.006 (d) 0.6
3. 3.Which of these numbers is divisible by 9? (a) 2128 (b) 2119 (c) 2108 (d) 2115
4. 4.What is 30% of 120? (a) 360 (b) 84 (c) 36 (d) 72
5. 5.A shopkeeper buys a toy for ₹200 and sells it for ₹120. What is his loss percent? (a) 80% (b) 45% (c) 35% (d) 40%
6. 6.Which fraction is greater: 1/3 or 5/11? (a) They are equal (b) 1/3 (c) 5/11
7. 7.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%
8. 8.Today is Monday. What day of the week will it be after 36 days? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
9. 9.Which of these numbers is divisible by 8? (a) 1323 (b) 1314 (c) 1334 (d) 1320
10. 10.What is the simple interest on ₹1000 at 4% per year for 5 years? (a) ₹240 (b) ₹200 (c) ₹40 (d) ₹1200
11. 11.Which of these numbers is divisible by 11? (a) 2581 (b) 2571 (c) 2563 (d) 2556
12. 12.What is the smallest number you must add to 404 to make it divisible by 5? (a) 4 (b) 2 (c) 1 (d) 3
13. 13.Which is the smallest: 0.36, 0.277, 0.039, 0.3? (a) 0.36 (b) 0.277 (c) 0.039 (d) 0.3
14. 14.₹480 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹144 (b) ₹48 (c) ₹240 (d) ₹336
15. 15.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
16. 16.Today is Tuesday. What day of the week will it be after 53 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
17. 17.Every pair follows the same rule: 2 : 4, 4 : 8, 7 : 14. What is 6 : ? (a) 13 (b) 8 (c) 11 (d) 12
18. 18.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 24 (c) 42 (d) 32
19. 19.Which fraction is greater: 1/4 or 1/6? (a) 1/4 (b) 1/6 (c) They are equal
20. 20.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 3 min (c) 27 min (d) 60 min
21. 21.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 20 (b) 14 (c) 40 (d) 21
22. 22.What is the average of 34, 47, 44 and 35? (a) 41 (b) 39 (c) 42 (d) 40
23. 23.3.24 + 1.8 = ? (a) 5.04 (b) 4.94 (c) 3.42 (d) 5.14
24. 24.What is 50% of 220? (a) 220 (b) 110 (c) 111 (d) 1100
25. 25.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
26. 26.6.43 + 5.4 = ? (a) 11.73 (b) 11.83 (c) 11.93 (d) 6.97
27. 27.₹350 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹350 (b) ₹50 (c) ₹175 (d) ₹300
28. 28.Which is the greatest: 0.5, 0.51, 0.028, 0.495? (a) 0.5 (b) 0.51 (c) 0.028 (d) 0.495
29. 29.If 9 notebooks cost ₹72, how much do 3 notebooks cost? (a) ₹216 (b) ₹66 (c) ₹32 (d) ₹24
30. 30.What is the average of all the whole numbers from 27 to 61? (a) 44 (b) 17 (c) 45 (d) 34
31. 31.8.45 + 9.5 = ? (a) 9.4 (b) 17.95 (c) 18.05 (d) 17.85
32. 32.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 17 (b) 26 (c) 20 (d) 11
33. 33.Every pair follows the same rule: 3 : 15, 7 : 55, 9 : 87. What is 8 : ? (a) 70 (b) 71 (c) 40 (d) 20
34. 34.A shopkeeper buys a toy for ₹260 and sells it for ₹325. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 65%
35. 35.What is 7/8 of 32? (a) 4 (b) 32 (c) 28 (d) 29
36. 36.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 23 (b) 10 (c) 1 (d) 2
37. 37.₹406 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹203 (b) ₹261 (c) ₹29 (d) ₹145
38. 38.What is the units digit of 8^54? (a) 8 (b) 2 (c) 4 (d) 6
39. 39.Every pair follows the same rule: 5 : 11, 6 : 14, 9 : 23. What is 3 : ? (a) 5 (b) 9 (c) 6 (d) 4
40. 40.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 9 cm (d) 8 cm

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