Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 726 · 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 square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
2. 2.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 24 (c) 78 (d) 66
3. 3.Which fraction is greater: 5/7 or 1/4? (a) 1/4 (b) They are equal (c) 5/7
4. 4.Which is the smallest: 0.4, 0.319, 0.42, 0.046? (a) 0.4 (b) 0.319 (c) 0.42 (d) 0.046
5. 5.9.42 + 6.1 = ? (a) 15.62 (b) 15.52 (c) 10.03 (d) 15.42
6. 6.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 45% (b) 20% (c) 10% (d) 15%
7. 7.If 8x + 22 = 134, what is x? (a) 14 (b) 112 (c) 15 (d) 13
8. 8.Which is the smallest: 0.43, 0.039, 0.4, 0.377? (a) 0.43 (b) 0.039 (c) 0.4 (d) 0.377
9. 9.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 270 min (b) 33 min (c) 90 min (d) 3 min
10. 10.Which fraction is greater: 9/11 or 1/3? (a) They are equal (b) 9/11 (c) 1/3
11. 11.What is the simple interest on ₹3500 at 2% per year for 2 years? (a) ₹210 (b) ₹70 (c) ₹3640 (d) ₹140
12. 12.Every pair follows the same rule: 3 : 11, 5 : 13, 9 : 17. What is 8 : ? (a) 18 (b) 16 (c) 15 (d) 17
13. 13.₹10000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹11800 (b) ₹10600 (c) ₹1800 (d) ₹12400
14. 14.What is the units digit of 3^23? (a) 1 (b) 3 (c) 9 (d) 7
15. 15.A shopkeeper buys a toy for ₹540 and sells it for ₹648. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 21%
16. 16.What is the remainder when 190 is divided by 3? (a) 2 (b) 0 (c) 1
17. 17.If 6 January is a Thursday, what day of the week is 19 January? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
18. 18.If x/2 + 1 = 8, what is x? (a) 7 (b) 14 (c) 18 (d) 15
19. 19.Which is the smallest: 0.555, 0.085, 0.69, 0.6? (a) 0.555 (b) 0.085 (c) 0.69 (d) 0.6
20. 20.If 7x + 2 = 30, what is x? (a) 5 (b) 3 (c) 4 (d) 28
21. 21.₹5500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹6875 (b) ₹6600 (c) ₹5775 (d) ₹1100
22. 22.₹5000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹5150 (b) ₹5900 (c) ₹5750 (d) ₹750
23. 23.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 22 sq cm (d) 24 sq cm
24. 24.A shopkeeper buys a toy for ₹100 and sells it for ₹85. What is his loss percent? (a) 10% (b) 20% (c) 16% (d) 15%
25. 25.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 190 cm (c) 58 cm (d) 29 cm
26. 26.5/7 + 2/5 = ? (a) 7/12 (b) 38/35 (c) 39/35 (d) 8/7
27. 27.If 4x − 1 = 7, what is x? (a) 2 (b) 1 (c) 8 (d) 3
28. 28.A shopkeeper buys a toy for ₹940 and sells it for ₹564. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
29. 29.₹4500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹990 (b) ₹5985 (c) ₹5490 (d) ₹4995
30. 30.What is 1/5 of 30? (a) 7 (b) 6 (c) 12 (d) 24
31. 31.A teacher has 36 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 36 (c) 9 (d) 27
32. 32.If 6 mangoes cost ₹60, how much do 9 mangoes cost? (a) ₹90 (b) ₹63 (c) ₹540 (d) ₹100
33. 33.Every pair follows the same rule: 2 : 1, 8 : 61, 9 : 78. What is 4 : ? (a) 14 (b) 15 (c) 12 (d) 13
34. 34.What is the remainder when 387 is divided by 5? (a) 1 (b) 2 (c) 4 (d) 3
35. 35.Every pair follows the same rule: 2 : 19, 3 : 24, 8 : 49. What is 6 : ? (a) 23 (b) 40 (c) 39 (d) 38
36. 36.₹120 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹30 (b) ₹60 (c) ₹90 (d) ₹120
37. 37.What is the units digit of 9^45? (a) 9 (b) 7 (c) 1 (d) 8
38. 38.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 26 days (c) 11 days (d) 27 days
39. 39.What is the average of all the whole numbers from 5 to 29? (a) 17 (b) 24 (c) 18 (d) 12
40. 40.What is the average of 43, 45, 31, 39 and 72? (a) 45 (b) 47 (c) 46 (d) 48

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