Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 872 · 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.Which of these numbers is divisible by 6? (a) 306 (b) 305 (c) 317 (d) 309
2. 2.A teacher has 35 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 280 (b) 1 (c) 35 (d) 5
3. 3.If 2 mangoes cost ₹50, how much do 3 mangoes cost? (a) ₹51 (b) ₹150 (c) ₹75 (d) ₹100
4. 4.A bag marked ₹540 is sold at a 50% discount. What is its selling price? (a) ₹490 (b) ₹271 (c) ₹270 (d) ₹810
5. 5.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 48 (b) 192 (c) 96 (d) 28
6. 6.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 40 (c) 79 (d) 47
7. 7.2/3 + 3/5 = ? (a) 19/15 (b) 4/3 (c) 6/5 (d) 5/8
8. 8.Today is Tuesday. What day of the week will it be after 42 days? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
9. 9.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 108 min (c) 21 min (d) 36 min
10. 10.What is the simple interest on ₹4500 at 2% per year for 3 years? (a) ₹270 (b) ₹90 (c) ₹360 (d) ₹4770
11. 11.What is the units digit of 8^15? (a) 6 (b) 4 (c) 2 (d) 8
12. 12.The simple interest on ₹1500 for 3 years is ₹315. What is the rate per year? (a) 6% (b) 21% (c) 8% (d) 7%
13. 13.4/7 + 1/4 = ? (a) 6/7 (b) 5/11 (c) 11/14 (d) 23/28
14. 14.Every pair follows the same rule: 3 : 12, 7 : 28, 8 : 32. What is 6 : ? (a) 23 (b) 25 (c) 24 (d) 15
15. 15.What is the simple interest on ₹3000 at 8% per year for 5 years? (a) ₹1440 (b) ₹1200 (c) ₹4200 (d) ₹240
16. 16.What is 75% of 380? (a) 570 (b) 285 (c) 95 (d) 2850
17. 17.If 8x − 41 = 23, what is x? (a) 8 (b) 9 (c) 7 (d) 64
18. 18.Which fraction is greater: 4/7 or 10/11? (a) 10/11 (b) 4/7 (c) They are equal
19. 19.Which is the greatest: 0.83, 0.097, 0.8, 0.732? (a) 0.83 (b) 0.097 (c) 0.8 (d) 0.732
20. 20.Every pair follows the same rule: 5 : 20, 7 : 26, 9 : 32. What is 4 : ? (a) 19 (b) 16 (c) 17 (d) 18
21. 21.What is the smallest number you must add to 237 to make it divisible by 4? (a) 2 (b) 3 (c) 1
22. 22.If x/3 + 2 = 8, what is x? (a) 30 (b) 22 (c) 6 (d) 18
23. 23.3 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 12 days (c) 8 days (d) 7 days
24. 24.Which is the greatest: 0.224, 0.036, 0.3, 0.36? (a) 0.224 (b) 0.036 (c) 0.3 (d) 0.36
25. 25.If 5x − 7 = 3, what is x? (a) 2 (b) 1 (c) 3 (d) 10
26. 26.1/3 + 1/9 = ? (a) 1/6 (b) 1/3 (c) 5/9 (d) 4/9
27. 27.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 72% (b) 30% (c) 25% (d) 35%
28. 28.Today is Friday. What day of the week will it be after 26 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
29. 29.Every pair follows the same rule: 6 : 19, 8 : 23, 9 : 25. What is 7 : ? (a) 20 (b) 23 (c) 22 (d) 21
30. 30.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 42 sq cm (d) 21 sq cm
31. 31.Every pair follows the same rule: 5 : 25, 7 : 49, 8 : 64. What is 2 : ? (a) 10 (b) 22 (c) 5 (d) 4
32. 32.₹6000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹960 (b) ₹6480 (c) ₹6960 (d) ₹7440
33. 33.If 6 mangoes cost ₹66, how much do 2 mangoes cost? (a) ₹33 (b) ₹22 (c) ₹62 (d) ₹132
34. 34.The simple interest on ₹9500 for 4 years is ₹760. What is the rate per year? (a) 3% (b) 2% (c) 1% (d) 8%
35. 35.What is the remainder when 463 is divided by 7? (a) 6 (b) 2 (c) 0 (d) 1
36. 36.If 5x + 7 = 42, what is x? (a) 7 (b) 35 (c) 6 (d) 8
37. 37.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 504 (b) 168 (c) 54 (d) 84
38. 38.What is the average of 64, 80, 68, 72, 86 and 92? (a) 76 (b) 78 (c) 79 (d) 77
39. 39.If 3x + 15 = 48, what is x? (a) 12 (b) 33 (c) 21 (d) 11
40. 40.What is the simple interest on ₹1000 at 12% per year for 5 years? (a) ₹120 (b) ₹600 (c) ₹1600 (d) ₹720

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