Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 44 · 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 average of all the whole numbers from 10 to 20? (a) 10 (b) 5 (c) 16 (d) 15
2. 2.If x/4 + 1 = 11, what is x? (a) 43 (b) 40 (c) 10 (d) 48
3. 3.What is the remainder when 138 is divided by 4? (a) 2 (b) 3 (c) 1 (d) 0
4. 4.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 270 (b) 90 (c) 33 (d) 180
5. 5.1/7 + 1/3 = ? (a) 3/7 (b) 10/21 (c) 11/21 (d) 1/5
6. 6.What is 60% of 360? (a) 216 (b) 2160 (c) 144 (d) 432
7. 7.What is the remainder when 194 is divided by 5? (a) 2 (b) 1 (c) 4 (d) 3
8. 8.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 24 (b) 69 (c) 48 (d) 93
9. 9.If 4 notebooks cost ₹52, how much do 10 notebooks cost? (a) ₹520 (b) ₹58 (c) ₹130 (d) ₹143
10. 10.Which fraction is greater: 3/4 or 6/7? (a) 3/4 (b) 6/7 (c) They are equal
11. 11.Which of these numbers is divisible by 8? (a) 976 (b) 991 (c) 978 (d) 970
12. 12.A teacher has 40 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) 200 (c) 5 (d) 40
13. 13.What is the value of the digit 3 in 65.732? (a) 3 (b) 0.03 (c) 0.3 (d) 0.003
14. 14.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 80 (b) 36 (c) 160 (d) 320
15. 15.2.94 + 5.9 = ? (a) 8.94 (b) 8.84 (c) 8.74 (d) 3.53
16. 16.₹351 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹39 (b) ₹78 (c) ₹312 (d) ₹273
17. 17.Every pair follows the same rule: 4 : 36, 5 : 45, 6 : 54. What is 9 : ? (a) 81 (b) 82 (c) 80 (d) 41
18. 18.The simple interest on ₹3500 for 3 years is ₹840. What is the rate per year? (a) 9% (b) 24% (c) 8% (d) 7%
19. 19.A bag marked ₹2000 is sold at a 30% discount. What is its selling price? (a) ₹1970 (b) ₹1400 (c) ₹2600 (d) ₹600
20. 20.Every pair follows the same rule: 6 : 34, 7 : 47, 9 : 79. What is 8 : ? (a) 63 (b) 61 (c) 36 (d) 62
21. 21.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 5 days (c) 20 days (d) 8 days
22. 22.₹230 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹46 (b) ₹115 (c) ₹184 (d) ₹230
23. 23.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
24. 24.What is 1/2 of 16? (a) 9 (b) 16 (c) 7 (d) 8
25. 25.A bag marked ₹1880 is sold at a 30% discount. What is its selling price? (a) ₹1316 (b) ₹2444 (c) ₹564 (d) ₹1850
26. 26.What is the value of the digit 3 in 93.627? (a) 0.3 (b) 30 (c) 3 (d) 0.03
27. 27.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 3 cm (d) 4 cm
28. 28.Two ribbons are 36 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 12 cm (c) 48 cm (d) 6 cm
29. 29.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 11 cm (d) 22 cm
30. 30.What is the units digit of 8^12? (a) 8 (b) 2 (c) 6 (d) 4
31. 31.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 58 sq cm (c) 221 sq cm (d) 29 sq cm
32. 32.8.09 + 6.3 = ? (a) 8.72 (b) 14.39 (c) 14.29 (d) 14.49
33. 33.What is the average of all the whole numbers from 12 to 44? (a) 28 (b) 32 (c) 16 (d) 29
34. 34.If 8 notebooks cost ₹160, how much do 11 notebooks cost? (a) ₹163 (b) ₹240 (c) ₹1760 (d) ₹220
35. 35.₹7500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹7650 (b) ₹8100 (c) ₹600 (d) ₹8250
36. 36.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 40 sq cm (c) 91 sq cm (d) 20 sq cm
37. 37.A shopkeeper buys a toy for ₹700 and sells it for ₹595. What is his loss percent? (a) 10% (b) 15% (c) 16% (d) 20%
38. 38.If 8 kites cost ₹24, how much do 10 kites cost? (a) ₹26 (b) ₹33 (c) ₹240 (d) ₹30
39. 39.₹5000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹5600 (b) ₹5900 (c) ₹5300 (d) ₹600
40. 40.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 3 cm (c) 6 cm (d) 4 cm

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