Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 92 · 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.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 224 (c) 112 (d) 56
2. 2.A shopkeeper buys a toy for ₹960 and sells it for ₹672. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 31%
3. 3.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 20 cm (d) 26 cm
4. 4.A bag marked ₹700 is sold at a 20% discount. What is its selling price? (a) ₹680 (b) ₹560 (c) ₹140 (d) ₹840
5. 5.4.01 + 3.1 = ? (a) 7.11 (b) 7.21 (c) 4.32 (d) 7.01
6. 6.Every pair follows the same rule: 2 : 5, 6 : 9, 7 : 10. What is 5 : ? (a) 10 (b) 8 (c) 9 (d) 7
7. 7.Which fraction is greater: 3/11 or 5/7? (a) 5/7 (b) 3/11 (c) They are equal
8. 8.Every pair follows the same rule: 3 : 11, 4 : 13, 9 : 23. What is 7 : ? (a) 15 (b) 19 (c) 18 (d) 20
9. 9.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 132 sq cm (c) 44 sq cm (d) 22 sq cm
10. 10.₹495 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹225 (b) ₹315 (c) ₹270 (d) ₹45
11. 11.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 3 : ? (a) 9 (b) 7 (c) 5 (d) 6
12. 12.If 9x + 27 = 144, what is x? (a) 117 (b) 14 (c) 13 (d) 19
13. 13.Today is Sunday. What day of the week will it be after 85 days? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
14. 14.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 30 (b) 10 (c) 58 (d) 38
15. 15.What is the average of all the whole numbers from 5 to 37? (a) 21 (b) 32 (c) 22 (d) 16
16. 16.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 18 cm (c) 160 cm (d) 9 cm
17. 17.What is the value of the digit 7 in 23.197? (a) 7 (b) 0.07 (c) 0.7 (d) 0.007
18. 18.Today is Wednesday. What day of the week will it be after 46 days? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
19. 19.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 2 : ? (a) 32 (b) 12 (c) 4 (d) 5
20. 20.The simple interest on ₹6000 for 5 years is ₹2700. What is the rate per year? (a) 9% (b) 10% (c) 45% (d) 8%
21. 21.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 756 (c) 252 (d) 126
22. 22.What is the remainder when 291 is divided by 4? (a) 2 (b) 0 (c) 1 (d) 3
23. 23.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 224 min (c) 4 min (d) 56 min
24. 24.₹6500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹1170 (b) ₹6890 (c) ₹7670 (d) ₹8060
25. 25.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 720 min (b) 6 min (c) 54 min (d) 120 min
26. 26.What is the remainder when 250 is divided by 7? (a) 6 (b) 5 (c) 2 (d) 4
27. 27.₹1000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹60 (b) ₹1080 (c) ₹1060 (d) ₹1020
28. 28.If 4x + 13 = 37, what is x? (a) 5 (b) 24 (c) 6 (d) 7
29. 29.If 3 mangoes cost ₹63, how much do 7 mangoes cost? (a) ₹168 (b) ₹441 (c) ₹147 (d) ₹67
30. 30.1/6 + 2/3 = ? (a) 1 (b) 1/3 (c) 2/3 (d) 5/6
31. 31.A shopkeeper buys a toy for ₹140 and sells it for ₹98. What is his loss percent? (a) 25% (b) 42% (c) 35% (d) 30%
32. 32.Which is the smallest: 0.011, 0.44, 0.4, 0.336? (a) 0.011 (b) 0.44 (c) 0.4 (d) 0.336
33. 33.₹4500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹540 (b) ₹4770 (c) ₹5310 (d) ₹5040
34. 34.If 6x + 3 = 2x + 35, what is x? (a) 4 (b) 9 (c) 10 (d) 8
35. 35.A teacher has 25 pencils and 35 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) 1 (d) 25
36. 36.Which of these numbers is divisible by 6? (a) 269 (b) 258 (c) 253 (d) 259
37. 37.If 7 pens cost ₹49, how much do 10 pens cost? (a) ₹490 (b) ₹70 (c) ₹77 (d) ₹52
38. 38.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
39. 39.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 25 days (c) 24 days (d) 2 days
40. 40.If 5x + 21 = 86, what is x? (a) 12 (b) 65 (c) 13 (d) 14

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