Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 582 · 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 rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 11 cm (c) 20 cm (d) 10 cm
2. 2.What is the average of all the whole numbers from 42 to 52? (a) 10 (b) 5 (c) 48 (d) 47
3. 3.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 18 (b) 57 (c) 42 (d) 45
4. 4.The simple interest on ₹1000 for 2 years is ₹120. What is the rate per year? (a) 6% (b) 5% (c) 12% (d) 7%
5. 5.What is the units digit of 4^14? (a) 5 (b) 4 (c) 7 (d) 6
6. 6.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 64 (c) 58 (d) 114
7. 7.2.01 + 2.4 = ? (a) 4.41 (b) 4.51 (c) 2.25 (d) 4.31
8. 8.What is the simple interest on ₹2500 at 9% per year for 4 years? (a) ₹900 (b) ₹225 (c) ₹3400 (d) ₹1125
9. 9.7.68 + 7.3 = ? (a) 15.08 (b) 8.41 (c) 14.88 (d) 14.98
10. 10.Every pair follows the same rule: 4 : 16, 5 : 25, 8 : 64. What is 2 : ? (a) 8 (b) 14 (c) 4 (d) 5
11. 11.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
12. 12.What is the average of 51, 69, 49, 48 and 68? (a) 56 (b) 59 (c) 58 (d) 57
13. 13.If 14 March is a Wednesday, what day of the week is 3 April? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
14. 14.Every pair follows the same rule: 4 : 14, 8 : 62, 9 : 79. What is 6 : ? (a) 28 (b) 34 (c) 16 (d) 35
15. 15.If 3 October is a Wednesday, what day of the week is 15 October? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
16. 16.What is the remainder when 119 is divided by 3? (a) 1 (b) 0 (c) 2
17. 17.If 5 kites cost ₹115, how much do 11 kites cost? (a) ₹1265 (b) ₹121 (c) ₹253 (d) ₹276
18. 18.If 6 pens cost ₹84, how much do 4 pens cost? (a) ₹82 (b) ₹56 (c) ₹70 (d) ₹336
19. 19.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 20 cm (c) 91 cm (d) 40 cm
20. 20.Today is Tuesday. What day of the week will it be after 61 days? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
21. 21.If 2x − 3 = 1, what is x? (a) 4 (b) 3 (c) 2 (d) 1
22. 22.If 11 July is a Saturday, what day of the week is 25 July? (a) Sunday (b) Friday (c) Monday (d) Saturday
23. 23.Today is Saturday. What day of the week will it be after 36 days? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
24. 24.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 2 min (c) 40 min (d) 80 min
25. 25.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 21 cm (c) 39 cm (d) 42 cm
26. 26.If 7 October is a Tuesday, what day of the week is 17 October? (a) Friday (b) Saturday (c) Sunday (d) Thursday
27. 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 150 cm
28. 28.In how many years will ₹3000 earn ₹600 simple interest at 10% per year? (a) 1 year (b) 2 years (c) 4 years (d) 3 years
29. 29.3.66 + 4.9 = ? (a) 8.66 (b) 4.15 (c) 8.56 (d) 8.46
30. 30.Every pair follows the same rule: 2 : 6, 6 : 38, 9 : 83. What is 3 : ? (a) 9 (b) 12 (c) 7 (d) 11
31. 31.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 6% (b) 12% (c) 10% (d) 5%
32. 32.What is the simple interest on ₹2000 at 6% per year for 4 years? (a) ₹120 (b) ₹480 (c) ₹600 (d) ₹2480
33. 33.In how many years will ₹2000 earn ₹360 simple interest at 9% per year? (a) 2 years (b) 1 year (c) 4 years (d) 3 years
34. 34.What is the remainder when 206 is divided by 3? (a) 0 (b) 2 (c) 1
35. 35.A bag marked ₹1560 is sold at a 15% discount. What is its selling price? (a) ₹1545 (b) ₹1794 (c) ₹234 (d) ₹1326
36. 36.A shopkeeper buys a toy for ₹260 and sells it for ₹325. What is his profit percent? (a) 65% (b) 30% (c) 20% (d) 25%
37. 37.What is the remainder when 172 is divided by 8? (a) 4 (b) 3 (c) 5 (d) 6
38. 38.Which is the smallest: 0.486, 0.065, 0.5, 0.55? (a) 0.486 (b) 0.065 (c) 0.5 (d) 0.55
39. 39.If 6 notebooks cost ₹66, how much do 9 notebooks cost? (a) ₹99 (b) ₹594 (c) ₹110 (d) ₹69
40. 40.Every pair follows the same rule: 7 : 28, 8 : 32, 9 : 36. What is 2 : ? (a) 23 (b) 7 (c) 9 (d) 8

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