Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 156 · 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.Every pair follows the same rule: 3 : 5, 4 : 7, 5 : 9. What is 2 : ? (a) 3 (b) 4 (c) 5 (d) 2
2. 2.What is the simple interest on ₹4000 at 4% per year for 4 years? (a) ₹640 (b) ₹160 (c) ₹800 (d) ₹4640
3. 3.A bag marked ₹1780 is sold at a 30% discount. What is its selling price? (a) ₹534 (b) ₹1246 (c) ₹2314 (d) ₹1750
4. 4.If 7 notebooks cost ₹42, how much do 4 notebooks cost? (a) ₹30 (b) ₹168 (c) ₹24 (d) ₹39
5. 5.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 6% (b) 5% (c) 10% (d) 35%
6. 6.What is 20% of 60? (a) 12 (b) 24 (c) 120 (d) 48
7. 7.If 8 notebooks cost ₹32, how much do 10 notebooks cost? (a) ₹40 (b) ₹34 (c) ₹320 (d) ₹44
8. 8.What is the units digit of 9^22? (a) 2 (b) 1 (c) 9 (d) 0
9. 9.₹297 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹27 (b) ₹243 (c) ₹54 (d) ₹270
10. 10.Which is the greatest: 0.7, 0.619, 0.074, 0.78? (a) 0.7 (b) 0.619 (c) 0.074 (d) 0.78
11. 11.Which is the smallest: 0.039, 0.47, 0.4, 0.376? (a) 0.039 (b) 0.47 (c) 0.4 (d) 0.376
12. 12.What is the average of 51, 61, 73 and 47? (a) 59 (b) 57 (c) 58 (d) 60
13. 13.What is the simple interest on ₹7500 at 11% per year for 4 years? (a) ₹4125 (b) ₹10800 (c) ₹3300 (d) ₹825
14. 14.1/2 + 5/9 = ? (a) 6/11 (b) 19/18 (c) 1 (d) 10/9
15. 15.A bag marked ₹1780 is sold at a 40% discount. What is its selling price? (a) ₹712 (b) ₹1740 (c) ₹1068 (d) ₹2492
16. 16.₹135 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹30 (b) ₹120 (c) ₹15 (d) ₹105
17. 17.Which fraction is greater: 3/5 or 1/12? (a) They are equal (b) 1/12 (c) 3/5
18. 18.If 4x + 7 = x + 40, what is x? (a) 13 (b) 11 (c) 10 (d) 12
19. 19.Every pair follows the same rule: 3 : 7, 7 : 47, 8 : 62. What is 5 : ? (a) 17 (b) 23 (c) 9 (d) 24
20. 20.Two ribbons are 20 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 2 cm (c) 20 cm (d) 4 cm
21. 21.If 3x + 12 = 2x + 23, what is x? (a) 12 (b) 35 (c) 11 (d) 13
22. 22.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 180 cm (d) 46 cm
23. 23.If 6 July is a Tuesday, what day of the week is 21 July? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
24. 24.Today is Tuesday. What day of the week will it be after 17 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
25. 25.If 11 January is a Thursday, what day of the week is 23 January? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
26. 26.If 29 April is a Wednesday, what day of the week is 1 May? (a) Friday (b) Sunday (c) Thursday (d) Saturday
27. 27.What is the average of all the whole numbers from 21 to 59? (a) 38 (b) 40 (c) 19 (d) 41
28. 28.1/2 + 2/4 = ? (a) 3/4 (b) 5/4 (c) 1 (d) 1/2
29. 29.If 9 mangoes cost ₹207, how much do 12 mangoes cost? (a) ₹210 (b) ₹2484 (c) ₹299 (d) ₹276
30. 30.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 57 (b) 32 (c) 56 (d) 40
31. 31.A teacher has 6 pencils and 21 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) 6
32. 32.If 6x − 40 = 20, what is x? (a) 10 (b) 9 (c) 60 (d) 11
33. 33.If 5x + 10 = 4x + 16, what is x? (a) 8 (b) 7 (c) 6 (d) 26
34. 34.2.49 + 9.8 = ? (a) 12.39 (b) 3.47 (c) 12.19 (d) 12.29
35. 35.What is the average of 36, 42, 53, 49, 52 and 50? (a) 47 (b) 46 (c) 48 (d) 49
36. 36.9.42 + 9.7 = ? (a) 19.02 (b) 19.22 (c) 10.39 (d) 19.12
37. 37.If x/3 + 3 = 5, what is x? (a) 12 (b) 6 (c) 24 (d) 2
38. 38.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 35 (b) 28 (c) 11 (d) 18
39. 39.Which of these numbers is divisible by 3? (a) 824 (b) 826 (c) 829 (d) 825
40. 40.If 8x − 87 = 1, what is x? (a) 10 (b) 88 (c) 11 (d) 12

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