Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 943 · 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.In how many years will ₹4000 earn ₹320 simple interest at 2% per year? (a) 4 years (b) 3 years (c) 8 years (d) 5 years
2. 2.Today is Tuesday. What day of the week will it be after 32 days? (a) Monday (b) Saturday (c) Friday (d) Sunday
3. 3.If 9 July is a Monday, what day of the week is 17 July? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
4. 4.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 54 cm
5. 5.If 15 April is a Saturday, what day of the week is 5 May? (a) Sunday (b) Saturday (c) Thursday (d) Friday
6. 6.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 26 cm (c) 52 cm (d) 133 cm
7. 7.What is the value of the digit 7 in 26.178? (a) 0.7 (b) 0.007 (c) 7 (d) 0.07
8. 8.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 14 min (c) 40 min (d) 20 min
9. 9.What is 5/6 of 12? (a) 11 (b) 12 (c) 10 (d) 2
10. 10.What is the average of 45, 45, 38, 38, 54 and 80? (a) 60 (b) 51 (c) 49 (d) 50
11. 11.If x/6 + 7 = 10, what is x? (a) 3 (b) 53 (c) 18 (d) 102
12. 12.A bag marked ₹1260 is sold at a 50% discount. What is its selling price? (a) ₹631 (b) ₹1890 (c) ₹630 (d) ₹1210
13. 13.₹5500 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹550 (b) ₹5775 (c) ₹6050 (d) ₹6325
14. 14.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 120 min (c) 2 min (d) 60 min
15. 15.If 5x + 18 = x + 66, what is x? (a) 8 (b) 12 (c) 13 (d) 21
16. 16.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 143 cm
17. 17.A teacher has 66 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 1 (c) 462 (d) 66
18. 18.2.75 + 1.1 = ? (a) 3.75 (b) 3.95 (c) 3.85 (d) 2.86
19. 19.What is the simple interest on ₹2000 at 11% per year for 3 years? (a) ₹660 (b) ₹2660 (c) ₹220 (d) ₹880
20. 20.If x/4 + 6 = 15, what is x? (a) 36 (b) 9 (c) 84 (d) 54
21. 21.A shopkeeper buys a toy for ₹1000 and sells it for ₹1400. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
22. 22.What is the remainder when 347 is divided by 5? (a) 1 (b) 4 (c) 3 (d) 2
23. 23.If x/4 + 8 = 20, what is x? (a) 72 (b) 48 (c) 12 (d) 112
24. 24.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 96 sq cm (c) 108 sq cm (d) 20 sq cm
25. 25.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 30 (c) 63 (d) 126
26. 26.Which is the smallest: 0.5, 0.073, 0.59, 0.492? (a) 0.5 (b) 0.073 (c) 0.59 (d) 0.492
27. 27.What is the average of 18, 18, 20, 21, 12 and 43? (a) 22 (b) 24 (c) 23 (d) 21
28. 28.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 10 days (b) 1 day (c) 9 days (d) 8 days
29. 29.Which of these numbers is divisible by 11? (a) 1973 (b) 1996 (c) 1980 (d) 1989
30. 30.If 9x + 18 = 63, what is x? (a) 45 (b) 5 (c) 6 (d) 9
31. 31.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 50 min (c) 5 min (d) 525 min
32. 32.₹66 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹36 (b) ₹6 (c) ₹33 (d) ₹30
33. 33.Every pair follows the same rule: 3 : 18, 4 : 21, 7 : 30. What is 9 : ? (a) 24 (b) 37 (c) 36 (d) 54
34. 34.A bag marked ₹1860 is sold at a 15% discount. What is its selling price? (a) ₹279 (b) ₹2139 (c) ₹1845 (d) ₹1581
35. 35.What is the units digit of 9^14? (a) 0 (b) 9 (c) 1 (d) 2
36. 36.What is the average of 72, 59, 71, 77, 65 and 40? (a) 63 (b) 65 (c) 64 (d) 66
37. 37.If 3x + 4 = 2x + 5, what is x? (a) 9 (b) 1 (c) 2 (d) 3
38. 38.What is the simple interest on ₹4000 at 7% per year for 2 years? (a) ₹280 (b) ₹4560 (c) ₹840 (d) ₹560
39. 39.A teacher has 6 pencils and 8 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 24 (c) 1 (d) 2
40. 40.What is the smallest number you must add to 818 to make it divisible by 12? (a) 11 (b) 9 (c) 2 (d) 10

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