Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 243 · 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 the remainder when 76 is divided by 5? (a) 1 (b) 4 (c) 2 (d) 0
2. 2.Which of these numbers is divisible by 9? (a) 3849 (b) 3843 (c) 3858 (d) 3839
3. 3.1/5 + 2/3 = ? (a) 4/5 (b) 13/15 (c) 14/15 (d) 3/8
4. 4.7.87 + 4.7 = ? (a) 12.47 (b) 12.57 (c) 8.34 (d) 12.67
5. 5.Every pair follows the same rule: 5 : 11, 6 : 12, 7 : 13. What is 3 : ? (a) 8 (b) 9 (c) 11 (d) 10
6. 6.What is the smallest number you must add to 811 to make it divisible by 11? (a) 2 (b) 3 (c) 4 (d) 8
7. 7.What is 1/4 of 24? (a) 12 (b) 7 (c) 6 (d) 18
8. 8.Every pair follows the same rule: 3 : 14, 5 : 16, 9 : 20. What is 7 : ? (a) 19 (b) 18 (c) 17 (d) 20
9. 9.What is the value of the digit 8 in 19.583? (a) 0.8 (b) 0.008 (c) 8 (d) 0.08
10. 10.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 4 min (c) 40 min (d) 336 min
11. 11.What is the value of the digit 9 in 95.263? (a) 9 (b) 0.9 (c) 90 (d) 0.09
12. 12.What is the simple interest on ₹8000 at 11% per year for 5 years? (a) ₹4400 (b) ₹12400 (c) ₹5280 (d) ₹880
13. 13.What is the simple interest on ₹8000 at 3% per year for 4 years? (a) ₹240 (b) ₹1200 (c) ₹8960 (d) ₹960
14. 14.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 4 : ? (a) 90 (b) 16 (c) 10 (d) 64
15. 15.₹152 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹152 (b) ₹38 (c) ₹76 (d) ₹114
16. 16.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 88% (b) 15% (c) 10% (d) 5%
17. 17.Today is Monday. What day of the week will it be after 31 days? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
18. 18.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 10% (b) 5% (c) 16% (d) 6%
19. 19.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 9 cm (d) 15 cm
20. 20.1/5 + 5/7 = ? (a) 31/35 (b) 33/35 (c) 32/35 (d) 1/2
21. 21.In how many years will ₹7500 earn ₹2025 simple interest at 9% per year? (a) 4 years (b) 2 years (c) 3 years (d) 6 years
22. 22.₹90 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹45 (b) ₹50 (c) ₹40 (d) ₹10
23. 23.Every pair follows the same rule: 4 : 5, 5 : 7, 7 : 11. What is 3 : ? (a) 5 (b) 2 (c) 3 (d) 4
24. 24.Two ribbons are 8 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 8 cm (c) 1 cm (d) 10 cm
25. 25.Every pair follows the same rule: 3 : 18, 5 : 30, 6 : 36. What is 7 : ? (a) 22 (b) 42 (c) 41 (d) 43
26. 26.What is 15% of 380? (a) 570 (b) 57 (c) 323 (d) 114
27. 27.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 2 min (c) 16 min (d) 30 min
28. 28.Which fraction is greater: 3/5 or 2/7? (a) 3/5 (b) They are equal (c) 2/7
29. 29.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 16 cm (d) 10 cm
30. 30.If 8x + 8 = x + 15, what is x? (a) 4 (b) 2 (c) 1 (d) 3
31. 31.What is the units digit of 9^10? (a) 1 (b) 0 (c) 9 (d) 2
32. 32.Which is the greatest: 0.064, 0.444, 0.5, 0.51? (a) 0.064 (b) 0.444 (c) 0.5 (d) 0.51
33. 33.₹546 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹42 (b) ₹273 (c) ₹168 (d) ₹378
34. 34.Which fraction is greater: 1/5 or 5/6? (a) 5/6 (b) 1/5 (c) They are equal
35. 35.A teacher has 15 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 1 (c) 15 (d) 90
36. 36.Which is the smallest: 0.635, 0.046, 0.7, 0.71? (a) 0.635 (b) 0.046 (c) 0.7 (d) 0.71
37. 37.A shopkeeper buys a toy for ₹920 and sells it for ₹1150. What is his profit percent? (a) 30% (b) 26% (c) 20% (d) 25%
38. 38.6 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 16 days (c) 8 days (d) 12 days
39. 39.₹7000 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹2520 (b) ₹7630 (c) ₹9520 (d) ₹10150
40. 40.What is the value of the digit 6 in 49.786? (a) 0.06 (b) 6 (c) 0.6 (d) 0.006

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