Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 575 · 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 3/8 of 24? (a) 3 (b) 15 (c) 12 (d) 9
2. 2.If 18 May is a Wednesday, what day of the week is 3 June? (a) Sunday (b) Thursday (c) Friday (d) Saturday
3. 3.What is the smallest number you must add to 746 to make it divisible by 10? (a) 6 (b) 4 (c) 3 (d) 5
4. 4.Which is the smallest: 0.3, 0.35, 0.072, 0.228? (a) 0.3 (b) 0.35 (c) 0.072 (d) 0.228
5. 5.₹10000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹10200 (b) ₹10400 (c) ₹10600 (d) ₹400
6. 6.Every pair follows the same rule: 3 : 6, 6 : 33, 7 : 46. What is 2 : ? (a) 5 (b) 2 (c) 4 (d) 1
7. 7.₹1500 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹1620 (b) ₹120 (c) ₹1560 (d) ₹1680
8. 8.What is 1/4 of 24? (a) 18 (b) 6 (c) 12 (d) 7
9. 9.What is the remainder when 953 is divided by 12? (a) 5 (b) 4 (c) 6 (d) 7
10. 10.If 31 March is a Tuesday, what day of the week is 3 April? (a) Sunday (b) Saturday (c) Thursday (d) Friday
11. 11.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 51 sq cm (d) 34 sq cm
12. 12.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
13. 13.What is the average of all the whole numbers from 41 to 49? (a) 46 (b) 45 (c) 4 (d) 8
14. 14.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 19 (b) 28 (c) 20 (d) 59
15. 15.Which fraction is greater: 7/10 or 2/3? (a) 2/3 (b) They are equal (c) 7/10
16. 16.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 24 cm (d) 20 cm
17. 17.In how many years will ₹4000 earn ₹1800 simple interest at 9% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
18. 18.What is 1/2 of 16? (a) 9 (b) 7 (c) 8 (d) 16
19. 19.What is the simple interest on ₹9500 at 12% per year for 2 years? (a) ₹2280 (b) ₹11780 (c) ₹3420 (d) ₹1140
20. 20.What is 5/6 of 66? (a) 66 (b) 11 (c) 56 (d) 55
21. 21.8.51 + 7.7 = ? (a) 9.28 (b) 16.31 (c) 16.11 (d) 16.21
22. 22.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 12 (b) 28 (c) 15 (d) 25
23. 23.What is the units digit of 3^51? (a) 1 (b) 9 (c) 3 (d) 7
24. 24.What is the simple interest on ₹8000 at 8% per year for 3 years? (a) ₹2560 (b) ₹9920 (c) ₹640 (d) ₹1920
25. 25.The simple interest on ₹3000 for 2 years is ₹600. What is the rate per year? (a) 20% (b) 10% (c) 11% (d) 9%
26. 26.What is the simple interest on ₹8500 at 9% per year for 4 years? (a) ₹11560 (b) ₹3825 (c) ₹765 (d) ₹3060
27. 27.5.98 + 5.4 = ? (a) 11.28 (b) 11.38 (c) 6.52 (d) 11.48
28. 28.If 5 mangoes cost ₹75, how much do 12 mangoes cost? (a) ₹180 (b) ₹195 (c) ₹900 (d) ₹82
29. 29.What is the remainder when 87 is divided by 5? (a) 4 (b) 1 (c) 3 (d) 2
30. 30.What is 1/3 of 12? (a) 8 (b) 3 (c) 4 (d) 5
31. 31.In how many years will ₹2000 earn ₹360 simple interest at 9% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
32. 32.If 6 pens cost ₹144, how much do 10 pens cost? (a) ₹240 (b) ₹264 (c) ₹148 (d) ₹1440
33. 33.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 60% (b) 25% (c) 15% (d) 20%
34. 34.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 216 sq cm (d) 58 sq cm
35. 35.If 5x − 3 = 7, what is x? (a) 10 (b) 3 (c) 2 (d) 1
36. 36.What is 60% of 60? (a) 72 (b) 360 (c) 24 (d) 36
37. 37.If 14 July is a Monday, what day of the week is 24 July? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
38. 38.2.05 + 6.1 = ? (a) 2.66 (b) 8.25 (c) 8.15 (d) 8.05
39. 39.What is the smallest number you must add to 432 to make it divisible by 10? (a) 2 (b) 8 (c) 7 (d) 9
40. 40.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 20 min (c) 4 min (d) 96 min

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