Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 292 · 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 shopkeeper buys a toy for ₹660 and sells it for ₹825. What is his profit percent? (a) 20% (b) 25% (c) 26% (d) 30%
2. 2.If 14 May is a Tuesday, what day of the week is 24 May? (a) Sunday (b) Thursday (c) Friday (d) Saturday
3. 3.What is the average of 41, 61, 51, 40, 61 and 52? (a) 53 (b) 51 (c) 52 (d) 50
4. 4.What is the simple interest on ₹10000 at 12% per year for 3 years? (a) ₹1200 (b) ₹3600 (c) ₹4800 (d) ₹13600
5. 5.9.96 + 8.9 = ? (a) 18.76 (b) 10.85 (c) 18.96 (d) 18.86
6. 6.3/4 + 8/9 = ? (a) 11/13 (b) 59/36 (c) 29/18 (d) 5/3
7. 7.₹9500 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹10830 (b) ₹11495 (c) ₹1330 (d) ₹10165
8. 8.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 66 (b) 30 (c) 60 (d) 84
9. 9.The simple interest on ₹10000 for 5 years is ₹2000. What is the rate per year? (a) 5% (b) 20% (c) 3% (d) 4%
10. 10.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 59 (b) 74 (c) 54 (d) 25
11. 11.If 7 May is a Friday, what day of the week is 19 May? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
12. 12.Which is the greatest: 0.31, 0.3, 0.034, 0.293? (a) 0.31 (b) 0.3 (c) 0.034 (d) 0.293
13. 13.₹240 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹240 (b) ₹192 (c) ₹48 (d) ₹120
14. 14.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
15. 15.What is the average of 83, 63, 69, 90, 68 and 83? (a) 75 (b) 76 (c) 78 (d) 77
16. 16.If 9 pens cost ₹45, how much do 5 pens cost? (a) ₹25 (b) ₹225 (c) ₹30 (d) ₹41
17. 17.If 2x − 15 = 3, what is x? (a) 9 (b) 18 (c) 8 (d) 10
18. 18.What is the units digit of 3^39? (a) 7 (b) 1 (c) 3 (d) 9
19. 19.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 22 min (c) 56 min (d) 2 min
20. 20.The simple interest on ₹3500 for 5 years is ₹2100. What is the rate per year? (a) 12% (b) 13% (c) 11% (d) 60%
21. 21.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 90 sq cm (d) 105 sq cm
22. 22.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
23. 23.₹238 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹17 (b) ₹119 (c) ₹85 (d) ₹153
24. 24.₹1500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹1650 (b) ₹2250 (c) ₹2100 (d) ₹600
25. 25.What is the average of 27, 54, 50, 48 and 21? (a) 50 (b) 39 (c) 41 (d) 40
26. 26.If 4 mangoes cost ₹76, how much do 5 mangoes cost? (a) ₹114 (b) ₹380 (c) ₹95 (d) ₹77
27. 27.If x/4 + 1 = 4, what is x? (a) 20 (b) 3 (c) 12 (d) 15
28. 28.If 7 mangoes cost ₹126, how much do 11 mangoes cost? (a) ₹216 (b) ₹1386 (c) ₹130 (d) ₹198
29. 29.What is 60% of 260? (a) 156 (b) 312 (c) 1560 (d) 104
30. 30.If 9 mangoes cost ₹153, how much do 5 mangoes cost? (a) ₹85 (b) ₹765 (c) ₹149 (d) ₹102
31. 31.Which is the smallest: 0.81, 0.726, 0.038, 0.8? (a) 0.81 (b) 0.726 (c) 0.038 (d) 0.8
32. 32.What is the value of the digit 4 in 72.416? (a) 0.04 (b) 4 (c) 0.4 (d) 0.004
33. 33.Which of these numbers is divisible by 3? (a) 2113 (b) 2109 (c) 2107 (d) 2111
34. 34.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 53 (b) 51 (c) 30 (d) 28
35. 35.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 224 min (c) 4 min (d) 56 min
36. 36.A teacher has 14 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 112 (c) 14 (d) 1
37. 37.What is the units digit of 8^18? (a) 6 (b) 8 (c) 4 (d) 2
38. 38.Which fraction is greater: 2/3 or 5/8? (a) 2/3 (b) They are equal (c) 5/8
39. 39.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 44 sq cm (c) 90 sq cm (d) 22 sq cm
40. 40.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 1 : ? (a) 4 (b) 2 (c) 7 (d) 1

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