Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 485 · 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.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 35% (b) 31% (c) 30% (d) 25%
2. 2.What is the value of the digit 6 in 93.624? (a) 0.06 (b) 0.6 (c) 6 (d) 0.006
3. 3.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 119 cm (c) 48 cm (d) 24 cm
4. 4.What is the average of 65, 78, 86 and 75? (a) 75 (b) 77 (c) 78 (d) 76
5. 5.2.02 + 2.8 = ? (a) 4.72 (b) 4.82 (c) 4.92 (d) 2.3
6. 6.The simple interest on ₹6000 for 4 years is ₹1440. What is the rate per year? (a) 24% (b) 5% (c) 6% (d) 7%
7. 7.What is the smallest number you must add to 393 to make it divisible by 5? (a) 2 (b) 1 (c) 3 (d) 4
8. 8.Which is the smallest: 0.329, 0.093, 0.43, 0.4? (a) 0.329 (b) 0.093 (c) 0.43 (d) 0.4
9. 9.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 50 (b) 78 (c) 33 (d) 38
10. 10.What is the remainder when 559 is divided by 9? (a) 8 (b) 2 (c) 1 (d) 0
11. 11.Which is the smallest: 0.711, 0.85, 0.075, 0.8? (a) 0.711 (b) 0.85 (c) 0.075 (d) 0.8
12. 12.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 15% (b) 84% (c) 5% (d) 10%
13. 13.Every pair follows the same rule: 3 : 15, 5 : 17, 8 : 20. What is 7 : ? (a) 18 (b) 35 (c) 19 (d) 20
14. 14.A bag marked ₹1240 is sold at a 50% discount. What is its selling price? (a) ₹620 (b) ₹621 (c) ₹1190 (d) ₹1860
15. 15.What is 1/9 of 27? (a) 6 (b) 4 (c) 3 (d) 24
16. 16.If x/2 + 2 = 7, what is x? (a) 12 (b) 18 (c) 5 (d) 10
17. 17.If 9 notebooks cost ₹207, how much do 3 notebooks cost? (a) ₹201 (b) ₹92 (c) ₹621 (d) ₹69
18. 18.Every pair follows the same rule: 2 : 3, 4 : 15, 8 : 63. What is 6 : ? (a) 7 (b) 39 (c) 35 (d) 36
19. 19.What is the smallest number you must add to 258 to make it divisible by 5? (a) 1 (b) 2 (c) 4 (d) 3
20. 20.A bag marked ₹1640 is sold at a 40% discount. What is its selling price? (a) ₹2296 (b) ₹984 (c) ₹1600 (d) ₹656
21. 21.If 10 June is a Monday, what day of the week is 1 July? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
22. 22.In how many years will ₹9000 earn ₹540 simple interest at 2% per year? (a) 4 years (b) 6 years (c) 2 years (d) 3 years
23. 23.A teacher has 21 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 6 (c) 1 (d) 3
24. 24.A teacher has 32 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 32 (b) 8 (c) 4 (d) 40
25. 25.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
26. 26.Which of these numbers is divisible by 9? (a) 7924 (b) 7929 (c) 7931 (d) 7942
27. 27.Every pair follows the same rule: 3 : 15, 5 : 25, 8 : 40. What is 9 : ? (a) 46 (b) 21 (c) 44 (d) 45
28. 28.Which fraction is greater: 9/11 or 3/4? (a) 3/4 (b) They are equal (c) 9/11
29. 29.What is the simple interest on ₹8000 at 4% per year for 2 years? (a) ₹960 (b) ₹640 (c) ₹320 (d) ₹8640
30. 30.3/6 + 3/9 = ? (a) 7/9 (b) 8/9 (c) 5/6 (d) 2/5
31. 31.What is the value of the digit 2 in 24.189? (a) 0.02 (b) 2 (c) 20 (d) 0.2
32. 32.₹8000 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹8720 (b) ₹11600 (c) ₹2880 (d) ₹10880
33. 33.4.28 + 5.6 = ? (a) 9.98 (b) 9.88 (c) 4.84 (d) 9.78
34. 34.Today is Friday. What day of the week will it be after 43 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
35. 35.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 140 min (c) 560 min (d) 48 min
36. 36.₹396 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹36 (b) ₹252 (c) ₹198 (d) ₹144
37. 37.If 7 March is a Tuesday, what day of the week is 17 March? (a) Saturday (b) Thursday (c) Friday (d) Sunday
38. 38.If x/3 + 8 = 20, what is x? (a) 52 (b) 36 (c) 12 (d) 84
39. 39.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 6 cm (c) 30 cm (d) 4 cm
40. 40.Which fraction is greater: 5/11 or 1/4? (a) 5/11 (b) 1/4 (c) They are equal

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