Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 61 · 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.Two ribbons are 8 cm and 36 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) 28 cm (c) 4 cm (d) 8 cm
2. 2.2/5 + 1/2 = ? (a) 9/10 (b) 1 (c) 4/5 (d) 3/7
3. 3.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 20 cm (c) 36 cm (d) 40 cm
4. 4.In how many years will ₹2500 earn ₹550 simple interest at 11% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years
5. 5.If 6 pens cost ₹18, how much do 5 pens cost? (a) ₹17 (b) ₹18 (c) ₹90 (d) ₹15
6. 6.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 82 (b) 58 (c) 64 (d) 30
7. 7.Which fraction is greater: 1/6 or 2/3? (a) 1/6 (b) They are equal (c) 2/3
8. 8.What is the average of all the whole numbers from 19 to 41? (a) 11 (b) 31 (c) 30 (d) 22
9. 9.What is 8/9 of 72? (a) 72 (b) 65 (c) 8 (d) 64
10. 10.If 12 April is a Tuesday, what day of the week is 17 May? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
11. 11.Today is Tuesday. What day of the week will it be after 14 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
12. 12.What is the average of all the whole numbers from 51 to 89? (a) 71 (b) 38 (c) 70 (d) 19
13. 13.What is 2/3 of 9? (a) 6 (b) 9 (c) 3 (d) 7
14. 14.If 7 pens cost ₹154, how much do 10 pens cost? (a) ₹220 (b) ₹242 (c) ₹1540 (d) ₹157
15. 15.1.52 + 6.1 = ? (a) 2.13 (b) 7.72 (c) 7.52 (d) 7.62
16. 16.₹441 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹392 (b) ₹343 (c) ₹49 (d) ₹98
17. 17.If 3 pens cost ₹18, how much do 9 pens cost? (a) ₹162 (b) ₹60 (c) ₹24 (d) ₹54
18. 18.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 50% (b) 25% (c) 20% (d) 30%
19. 19.Every pair follows the same rule: 2 : 8, 8 : 32, 9 : 36. What is 5 : ? (a) 21 (b) 19 (c) 11 (d) 20
20. 20.A teacher has 14 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 42 (c) 1 (d) 7
21. 21.A shopkeeper buys a toy for ₹1000 and sells it for ₹800. What is his loss percent? (a) 21% (b) 15% (c) 20% (d) 25%
22. 22.What is the units digit of 4^18? (a) 5 (b) 7 (c) 4 (d) 6
23. 23.Today is Tuesday. What day of the week will it be after 23 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
24. 24.Which of these numbers is divisible by 11? (a) 8261 (b) 8274 (c) 8270 (d) 8254
25. 25.What is the simple interest on ₹2500 at 12% per year for 4 years? (a) ₹1500 (b) ₹3700 (c) ₹1200 (d) ₹300
26. 26.What is the units digit of 9^53? (a) 8 (b) 1 (c) 9 (d) 7
27. 27.9 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 18 days (b) 6 days (c) 4 days (d) 36 days
28. 28.Every pair follows the same rule: 3 : 6, 5 : 10, 8 : 16. What is 2 : ? (a) 4 (b) 5 (c) 3 (d) 6
29. 29.What is the average of 35, 42, 46 and 5? (a) 31 (b) 34 (c) 33 (d) 32
30. 30.Which fraction is greater: 6/7 or 1/4? (a) They are equal (b) 1/4 (c) 6/7
31. 31.The simple interest on ₹9000 for 3 years is ₹1620. What is the rate per year? (a) 5% (b) 7% (c) 6% (d) 18%
32. 32.What is the simple interest on ₹8000 at 7% per year for 4 years? (a) ₹2800 (b) ₹2240 (c) ₹560 (d) ₹10240
33. 33.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 70 min (c) 24 min (d) 2 min
34. 34.If 26 April is a Tuesday, what day of the week is 19 May? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
35. 35.What is the average of 24, 34, 16, 23 and 58? (a) 31 (b) 30 (c) 33 (d) 32
36. 36.2.34 + 5.1 = ? (a) 7.44 (b) 7.54 (c) 2.85 (d) 7.34
37. 37.₹4500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹5310 (b) ₹5715 (c) ₹4905 (d) ₹810
38. 38.2.33 + 8.8 = ? (a) 3.21 (b) 11.23 (c) 11.13 (d) 11.03
39. 39.Every pair follows the same rule: 2 : 18, 5 : 45, 8 : 72. What is 4 : ? (a) 35 (b) 36 (c) 37 (d) 20
40. 40.What is the average of 46, 41, 45, 29, 21 and 10? (a) 33 (b) 32 (c) 34 (d) 31

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