Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 425 · 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 is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 24 cm (d) 40 cm
2. 2.What is the value of the digit 8 in 37.418? (a) 0.008 (b) 8 (c) 0.8 (d) 0.08
3. 3.If 3 March is a Thursday, what day of the week is 18 March? (a) Friday (b) Sunday (c) Saturday (d) Thursday
4. 4.6.02 + 2.3 = ? (a) 8.22 (b) 8.42 (c) 6.25 (d) 8.32
5. 5.In how many years will ₹2500 earn ₹300 simple interest at 3% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
6. 6.4.38 + 4.6 = ? (a) 9.08 (b) 8.98 (c) 8.88 (d) 4.84
7. 7.Every pair follows the same rule: 3 : 8, 4 : 15, 9 : 80. What is 5 : ? (a) 24 (b) 28 (c) 10 (d) 25
8. 8.5.92 + 1.1 = ? (a) 7.02 (b) 6.03 (c) 7.12 (d) 6.92
9. 9.The simple interest on ₹3500 for 2 years is ₹210. What is the rate per year? (a) 3% (b) 2% (c) 6% (d) 4%
10. 10.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 58 (b) 8 (c) 27 (d) 7
11. 11.Today is Tuesday. What day of the week will it be after 73 days? (a) Friday (b) Sunday (c) Thursday (d) Saturday
12. 12.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 48 (b) 24 (c) 49 (d) 28
13. 13.Which is the greatest: 0.375, 0.4, 0.44, 0.066? (a) 0.375 (b) 0.4 (c) 0.44 (d) 0.066
14. 14.If 9x + 28 = 100, what is x? (a) 72 (b) 7 (c) 9 (d) 8
15. 15.₹495 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹405 (b) ₹45 (c) ₹135 (d) ₹360
16. 16.₹5000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹5200 (b) ₹5300 (c) ₹5100 (d) ₹200
17. 17.What is the simple interest on ₹10000 at 5% per year for 4 years? (a) ₹2500 (b) ₹500 (c) ₹12000 (d) ₹2000
18. 18.The simple interest on ₹1000 for 5 years is ₹600. What is the rate per year? (a) 13% (b) 60% (c) 11% (d) 12%
19. 19.What is the remainder when 488 is divided by 10? (a) 2 (b) 7 (c) 8 (d) 9
20. 20.Which is the greatest: 0.5, 0.51, 0.431, 0.088? (a) 0.5 (b) 0.51 (c) 0.431 (d) 0.088
21. 21.Every pair follows the same rule: 3 : 9, 4 : 16, 8 : 64. What is 2 : ? (a) 6 (b) 4 (c) 5 (d) 8
22. 22.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 48 days (b) 18 days (c) 6 days (d) 3 days
23. 23.Every pair follows the same rule: 2 : 6, 3 : 10, 7 : 26. What is 6 : ? (a) 10 (b) 23 (c) 18 (d) 22
24. 24.9 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 7 days (d) 13 days
25. 25.A teacher has 15 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 1 (c) 25 (d) 5
26. 26.What is the average of 55, 67, 71, 65 and 27? (a) 58 (b) 57 (c) 59 (d) 56
27. 27.If 6 mangoes cost ₹60, how much do 4 mangoes cost? (a) ₹40 (b) ₹240 (c) ₹58 (d) ₹50
28. 28.3/6 + 1/6 = ? (a) 1/3 (b) 1/2 (c) 2/3 (d) 5/6
29. 29.What is the simple interest on ₹8500 at 5% per year for 2 years? (a) ₹9350 (b) ₹1275 (c) ₹425 (d) ₹850
30. 30.Which is the smallest: 0.7, 0.72, 0.692, 0.093? (a) 0.7 (b) 0.72 (c) 0.692 (d) 0.093
31. 31.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 55 cm (c) 6 cm (d) 12 cm
32. 32.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 24 sq cm (d) 11 sq cm
33. 33.2.44 + 2.5 = ? (a) 4.84 (b) 4.94 (c) 5.04 (d) 2.69
34. 34.A shopkeeper buys a toy for ₹600 and sells it for ₹900. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
35. 35.What is 1/3 of 12? (a) 8 (b) 3 (c) 4 (d) 5
36. 36.A bag marked ₹1860 is sold at a 20% discount. What is its selling price? (a) ₹1840 (b) ₹1488 (c) ₹372 (d) ₹2232
37. 37.If 3x + 17 = 59, what is x? (a) 42 (b) 13 (c) 14 (d) 15
38. 38.Every pair follows the same rule: 7 : 55, 8 : 70, 9 : 87. What is 5 : ? (a) 19 (b) 31 (c) 32 (d) 53
39. 39.In how many years will ₹5500 earn ₹1100 simple interest at 5% per year? (a) 5 years (b) 4 years (c) 8 years (d) 3 years
40. 40.What is the value of the digit 6 in 15.486? (a) 0.6 (b) 0.06 (c) 6 (d) 0.006

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