Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 911 · 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 simple interest on ₹1000 at 12% per year for 5 years? (a) ₹600 (b) ₹1600 (c) ₹720 (d) ₹120
2. 2.1.39 + 6.7 = ? (a) 8.09 (b) 2.06 (c) 7.99 (d) 8.19
3. 3.If 2 pens cost ₹20, how much do 4 pens cost? (a) ₹80 (b) ₹50 (c) ₹22 (d) ₹40
4. 4.What is 25% of 940? (a) 2350 (b) 470 (c) 235 (d) 705
5. 5.If 6 pens cost ₹102, how much do 12 pens cost? (a) ₹1224 (b) ₹221 (c) ₹108 (d) ₹204
6. 6.What is the units digit of 2^54? (a) 2 (b) 6 (c) 4 (d) 8
7. 7.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 22 sq cm (c) 44 sq cm (d) 72 sq cm
8. 8.If 8 notebooks cost ₹48, how much do 6 notebooks cost? (a) ₹36 (b) ₹46 (c) ₹42 (d) ₹288
9. 9.A bag marked ₹920 is sold at a 40% discount. What is its selling price? (a) ₹368 (b) ₹552 (c) ₹1288 (d) ₹880
10. 10.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 16 min (c) 30 min (d) 2 min
11. 11.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 30 (b) 65 (c) 45 (d) 40
12. 12.₹10000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹600 (b) ₹10900 (c) ₹10300 (d) ₹10600
13. 13.Two ribbons are 35 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 35 cm (c) 7 cm (d) 14 cm
14. 14.What is the simple interest on ₹6000 at 10% per year for 4 years? (a) ₹600 (b) ₹8400 (c) ₹3000 (d) ₹2400
15. 15.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 40 (b) 58 (c) 62 (d) 94
16. 16.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 24 min (c) 70 min (d) 2 min
17. 17.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 45% (b) 20% (c) 10% (d) 15%
18. 18.What is 1/4 of 8? (a) 4 (b) 2 (c) 3 (d) 6
19. 19.Every pair follows the same rule: 3 : 16, 5 : 32, 6 : 43. What is 8 : ? (a) 71 (b) 21 (c) 72 (d) 65
20. 20.Two ribbons are 14 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 1 cm (c) 35 cm (d) 14 cm
21. 21.What is the smallest number you must add to 195 to make it divisible by 10? (a) 6 (b) 5 (c) 7 (d) 4
22. 22.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
23. 23.What is the average of all the whole numbers from 30 to 36? (a) 6 (b) 33 (c) 34 (d) 3
24. 24.₹176 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹66 (b) ₹110 (c) ₹22 (d) ₹88
25. 25.A teacher has 28 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 35 (c) 7 (d) 1
26. 26.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 60 (b) 8 (c) 9 (d) 28
27. 27.What is 1/3 of 24? (a) 16 (b) 8 (c) 7 (d) 9
28. 28.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 108 cm (c) 33 cm (d) 42 cm
29. 29.Every pair follows the same rule: 2 : 10, 5 : 31, 8 : 70. What is 3 : ? (a) 5 (b) 16 (c) 15 (d) 11
30. 30.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 260 sq cm (d) 240 sq cm
31. 31.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 84 (b) 52 (c) 48 (d) 44
32. 32.Today is Friday. What day of the week will it be after 18 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
33. 33.What is 60% of 660? (a) 3960 (b) 264 (c) 792 (d) 396
34. 34.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 24 (b) 14 (c) 48 (d) 25
35. 35.What is the remainder when 498 is divided by 11? (a) 8 (b) 2 (c) 3 (d) 4
36. 36.Every pair follows the same rule: 4 : 29, 7 : 44, 9 : 54. What is 8 : ? (a) 49 (b) 33 (c) 50 (d) 48
37. 37.If x/2 + 5 = 13, what is x? (a) 16 (b) 8 (c) 21 (d) 36
38. 38.If 15 December is a Thursday, what day of the week is 23 December? (a) Thursday (b) Saturday (c) Sunday (d) Friday
39. 39.What is 2/7 of 77? (a) 33 (b) 11 (c) 22 (d) 55
40. 40.8 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 14 days (b) 10 days (c) 16 days (d) 9 days

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