Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 821 · 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.A teacher has 20 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 25 (b) 1 (c) 20 (d) 5
2. 2.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 10 cm (d) 16 cm
3. 3.A bag marked ₹540 is sold at a 20% discount. What is its selling price? (a) ₹520 (b) ₹648 (c) ₹108 (d) ₹432
4. 4.₹4000 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹4320 (b) ₹5920 (c) ₹1600 (d) ₹5600
5. 5.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 8 (c) 2 (d) 4
6. 6.If 5x + 14 = 2x + 41, what is x? (a) 8 (b) 11 (c) 10 (d) 9
7. 7.₹7500 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹9750 (b) ₹10500 (c) ₹2250 (d) ₹8250
8. 8.What is 10% of 640? (a) 128 (b) 576 (c) 64 (d) 640
9. 9.If 8x + 5 = 93, what is x? (a) 12 (b) 11 (c) 10 (d) 88
10. 10.What is the simple interest on ₹6500 at 7% per year for 2 years? (a) ₹455 (b) ₹7410 (c) ₹910 (d) ₹1365
11. 11.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 21 days (c) 22 days (d) 17 days
12. 12.What is 20% of 1000? (a) 800 (b) 2000 (c) 400 (d) 200
13. 13.What is the average of 30, 29, 20, 13 and 33? (a) 27 (b) 26 (c) 24 (d) 25
14. 14.What is the remainder when 357 is divided by 9? (a) 5 (b) 7 (c) 3 (d) 6
15. 15.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 90 (b) 135 (c) 24 (d) 45
16. 16.What is 1/6 of 12? (a) 4 (b) 3 (c) 10 (d) 2
17. 17.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 36 (b) 30 (c) 72 (d) 216
18. 18.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 21 sq cm (d) 18 sq cm
19. 19.₹3500 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹840 (b) ₹4340 (c) ₹3710 (d) ₹4550
20. 20.What is the smallest number you must add to 117 to make it divisible by 7? (a) 3 (b) 5 (c) 2 (d) 1
21. 21.Every pair follows the same rule: 3 : 9, 4 : 16, 5 : 25. What is 6 : ? (a) 36 (b) 34 (c) 18 (d) 12
22. 22.What is the average of all the whole numbers from 24 to 50? (a) 38 (b) 37 (c) 13 (d) 26
23. 23.If 7 kites cost ₹98, how much do 12 kites cost? (a) ₹182 (b) ₹168 (c) ₹103 (d) ₹1176
24. 24.Every pair follows the same rule: 2 : 9, 3 : 14, 5 : 30. What is 4 : ? (a) 20 (b) 22 (c) 21 (d) 11
25. 25.Which of these numbers is divisible by 3? (a) 2072 (b) 2075 (c) 2070 (d) 2068
26. 26.If 27 September is a Monday, what day of the week is 8 October? (a) Saturday (b) Friday (c) Sunday (d) Thursday
27. 27.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 65 (b) 64 (c) 4 (d) 86
28. 28.₹198 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹54 (b) ₹144 (c) ₹18 (d) ₹99
29. 29.1/7 + 5/7 = ? (a) 5/7 (b) 1 (c) 3/7 (d) 6/7
30. 30.Two ribbons are 54 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 378 cm (b) 3 cm (c) 54 cm (d) 9 cm
31. 31.What is the average of 36, 20, 19 and 25? (a) 27 (b) 26 (c) 25 (d) 24
32. 32.A bag marked ₹1560 is sold at a 50% discount. What is its selling price? (a) ₹781 (b) ₹780 (c) ₹2340 (d) ₹1510
33. 33.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 150 cm
34. 34.Every pair follows the same rule: 2 : 22, 7 : 27, 9 : 29. What is 6 : ? (a) 25 (b) 26 (c) 66 (d) 27
35. 35.What is the remainder when 250 is divided by 11? (a) 9 (b) 3 (c) 8 (d) 7
36. 36.Which fraction is greater: 2/7 or 7/10? (a) They are equal (b) 7/10 (c) 2/7
37. 37.What is the remainder when 366 is divided by 7? (a) 1 (b) 2 (c) 5 (d) 3
38. 38.Which is the smallest: 0.763, 0.82, 0.8, 0.097? (a) 0.763 (b) 0.82 (c) 0.8 (d) 0.097
39. 39.If 3 January is a Thursday, what day of the week is 13 January? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
40. 40.What is the simple interest on ₹3500 at 6% per year for 3 years? (a) ₹210 (b) ₹630 (c) ₹4130 (d) ₹840

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