Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 440 · 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.Every pair follows the same rule: 2 : 13, 4 : 17, 6 : 21. What is 3 : ? (a) 17 (b) 15 (c) 14 (d) 16
2. 2.If 1 October is a Tuesday, what day of the week is 11 October? (a) Thursday (b) Friday (c) Sunday (d) Saturday
3. 3.What is the simple interest on ₹9500 at 4% per year for 2 years? (a) ₹380 (b) ₹760 (c) ₹1140 (d) ₹10260
4. 4.₹320 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹160 (b) ₹32 (c) ₹224 (d) ₹96
5. 5.Two ribbons are 20 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 70 cm (c) 5 cm (d) 20 cm
6. 6.A teacher has 14 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 14 (c) 4 (d) 2
7. 7.Which of these numbers is divisible by 6? (a) 1168 (b) 1181 (c) 1171 (d) 1170
8. 8.In how many years will ₹4500 earn ₹1215 simple interest at 9% per year? (a) 3 years (b) 6 years (c) 2 years (d) 4 years
9. 9.₹49 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹43 (b) ₹49 (c) ₹42 (d) ₹7
10. 10.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 34 cm (c) 17 cm (d) 70 cm
11. 11.In how many years will ₹4500 earn ₹720 simple interest at 8% per year? (a) 4 years (b) 2 years (c) 3 years (d) 1 year
12. 12.What is the simple interest on ₹8000 at 8% per year for 5 years? (a) ₹3840 (b) ₹640 (c) ₹11200 (d) ₹3200
13. 13.₹174 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹29 (b) ₹87 (c) ₹145 (d) ₹174
14. 14.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 18 min (c) 28 min (d) 56 min
15. 15.8 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 33 days (b) 17 days (c) 7 days (d) 32 days
16. 16.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
17. 17.Which of these numbers is divisible by 9? (a) 7211 (b) 7222 (c) 7228 (d) 7218
18. 18.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
19. 19.The simple interest on ₹5000 for 5 years is ₹750. What is the rate per year? (a) 2% (b) 4% (c) 3% (d) 15%
20. 20.9.58 + 1.5 = ? (a) 10.98 (b) 9.73 (c) 11.08 (d) 11.18
21. 21.If 9x + 17 = 107, what is x? (a) 90 (b) 11 (c) 10 (d) 9
22. 22.What is the average of all the whole numbers from 17 to 31? (a) 25 (b) 14 (c) 24 (d) 7
23. 23.Which fraction is greater: 5/6 or 1/11? (a) 1/11 (b) They are equal (c) 5/6
24. 24.If 8x + 5 = 21, what is x? (a) 3 (b) 1 (c) 2 (d) 16
25. 25.What is the simple interest on ₹2000 at 12% per year for 4 years? (a) ₹2960 (b) ₹240 (c) ₹1200 (d) ₹960
26. 26.What is 50% of 180? (a) 180 (b) 900 (c) 91 (d) 90
27. 27.Today is Tuesday. What day of the week will it be after 67 days? (a) Saturday (b) Sunday (c) Friday (d) Monday
28. 28.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
29. 29.₹288 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹160 (b) ₹144 (c) ₹32 (d) ₹128
30. 30.If 12 January is a Monday, what day of the week is 28 January? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
31. 31.Which is the smallest: 0.259, 0.058, 0.3, 0.31? (a) 0.259 (b) 0.058 (c) 0.3 (d) 0.31
32. 32.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 11 days (c) 8 days (d) 10 days
33. 33.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 3 cm (d) 2 cm
34. 34.Every pair follows the same rule: 3 : 23, 4 : 24, 7 : 27. What is 9 : ? (a) 31 (b) 30 (c) 29 (d) 28
35. 35.A shopkeeper buys a toy for ₹480 and sells it for ₹552. What is his profit percent? (a) 20% (b) 15% (c) 72% (d) 10%
36. 36.Today is Sunday. What day of the week will it be after 82 days? (a) Saturday (b) Friday (c) Thursday (d) Sunday
37. 37.In how many years will ₹4000 earn ₹240 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 4 years (d) 1 year
38. 38.Every pair follows the same rule: 3 : 13, 5 : 21, 7 : 29. What is 9 : ? (a) 37 (b) 38 (c) 19 (d) 36
39. 39.Today is Monday. What day of the week will it be after 34 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
40. 40.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 40 (b) 71 (c) 38 (d) 73

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