Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 724 · 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. 1.6.53 + 8.1 = ? (a) 7.34 (b) 14.73 (c) 14.53 (d) 14.63
2. 2.If 17 June is a Tuesday, what day of the week is 19 July? (a) Friday (b) Monday (c) Saturday (d) Sunday
3. 3.If x/5 + 12 = 18, what is x? (a) 78 (b) 30 (c) 150 (d) 6
4. 4.What is the value of the digit 5 in 58.134? (a) 0.05 (b) 0.5 (c) 5 (d) 50
5. 5.Which fraction is greater: 1/6 or 2/11? (a) They are equal (b) 1/6 (c) 2/11
6. 6.The simple interest on ₹8500 for 2 years is ₹1360. What is the rate per year? (a) 8% (b) 7% (c) 16% (d) 9%
7. 7.Every pair follows the same rule: 2 : 3, 3 : 8, 8 : 63. What is 5 : ? (a) 24 (b) 6 (c) 30 (d) 25
8. 8.In how many years will ₹3500 earn ₹1680 simple interest at 12% per year? (a) 3 years (b) 8 years (c) 4 years (d) 5 years
9. 9.If 6 notebooks cost ₹30, how much do 9 notebooks cost? (a) ₹45 (b) ₹50 (c) ₹33 (d) ₹270
10. 10.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 80 sq cm (d) 17 sq cm
11. 11.A bag marked ₹440 is sold at a 40% discount. What is its selling price? (a) ₹616 (b) ₹400 (c) ₹176 (d) ₹264
12. 12.Every pair follows the same rule: 2 : 4, 3 : 9, 6 : 36. What is 9 : ? (a) 18 (b) 81 (c) 11 (d) 63
13. 13.3 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 9 days (c) 11 days (d) 16 days
14. 14.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 32 min (c) 240 min (d) 60 min
15. 15.The simple interest on ₹6000 for 5 years is ₹3600. What is the rate per year? (a) 12% (b) 60% (c) 13% (d) 11%
16. 16.Which fraction is greater: 1/5 or 3/11? (a) 1/5 (b) They are equal (c) 3/11
17. 17.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 44 sq cm (d) 96 sq cm
18. 18.If 7x + 8 = x + 38, what is x? (a) 5 (b) 7 (c) 6 (d) 4
19. 19.5.19 + 8.6 = ? (a) 13.69 (b) 13.89 (c) 13.79 (d) 6.05
20. 20.If 9x + 16 = 2x + 30, what is x? (a) 4 (b) 1 (c) 2 (d) 3
21. 21.If 5 mangoes cost ₹105, how much do 3 mangoes cost? (a) ₹315 (b) ₹103 (c) ₹84 (d) ₹63
22. 22.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 29 (b) 12 (c) 55 (d) 38
23. 23.Today is Friday. What day of the week will it be after 48 days? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
24. 24.What is 60% of 560? (a) 3360 (b) 224 (c) 336 (d) 672
25. 25.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 42 sq cm (c) 98 sq cm (d) 21 sq cm
26. 26.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 46%
27. 27.₹4500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹5400 (b) ₹900 (c) ₹5625 (d) ₹4725
28. 28.If 2 mangoes cost ₹14, how much do 3 mangoes cost? (a) ₹42 (b) ₹15 (c) ₹28 (d) ₹21
29. 29.Which fraction is greater: 2/5 or 2/9? (a) They are equal (b) 2/5 (c) 2/9
30. 30.In how many years will ₹2500 earn ₹700 simple interest at 7% per year? (a) 5 years (b) 4 years (c) 8 years (d) 3 years
31. 31.Which of these numbers is divisible by 8? (a) 3736 (b) 3738 (c) 3747 (d) 3729
32. 32.Which is the greatest: 0.3, 0.253, 0.37, 0.027? (a) 0.3 (b) 0.253 (c) 0.37 (d) 0.027
33. 33.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 126 min (c) 60 min (d) 756 min
34. 34.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 35 sq cm (d) 12 sq cm
35. 35.What is the average of all the whole numbers from 27 to 37? (a) 33 (b) 32 (c) 5 (d) 10
36. 36.What is 30% of 400? (a) 1200 (b) 280 (c) 120 (d) 240
37. 37.3.83 + 4.1 = ? (a) 7.83 (b) 7.93 (c) 8.03 (d) 4.24
38. 38.₹308 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹22 (b) ₹198 (c) ₹110 (d) ₹154
39. 39.If x/2 + 3 = 15, what is x? (a) 12 (b) 36 (c) 24 (d) 27
40. 40.A teacher has 30 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 20 (d) 30

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