Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 729 · 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.₹8500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹9520 (b) ₹8755 (c) ₹9775 (d) ₹1020
2. 2.In how many years will ₹5000 earn ₹200 simple interest at 2% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
3. 3.If 1 May is a Saturday, what day of the week is 13 May? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
4. 4.Which is the smallest: 0.537, 0.67, 0.035, 0.6? (a) 0.537 (b) 0.67 (c) 0.035 (d) 0.6
5. 5.What is the smallest number you must add to 366 to make it divisible by 7? (a) 5 (b) 2 (c) 4 (d) 6
6. 6.The simple interest on ₹2500 for 4 years is ₹600. What is the rate per year? (a) 5% (b) 24% (c) 7% (d) 6%
7. 7.A shopkeeper buys a toy for ₹900 and sells it for ₹720. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 21%
8. 8.What is 5/9 of 36? (a) 24 (b) 20 (c) 4 (d) 16
9. 9.A teacher has 18 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 3 (c) 18 (d) 27
10. 10.If 9 kites cost ₹108, how much do 4 kites cost? (a) ₹48 (b) ₹103 (c) ₹60 (d) ₹432
11. 11.Every pair follows the same rule: 2 : 2, 6 : 34, 7 : 47. What is 9 : ? (a) 9 (b) 79 (c) 80 (d) 73
12. 12.What is 5/7 of 35? (a) 30 (b) 5 (c) 10 (d) 25
13. 13.What is the smallest number you must add to 469 to make it divisible by 10? (a) 9 (b) 1 (c) 2 (d) 3
14. 14.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 32 cm (d) 110 cm
15. 15.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
16. 16.Every pair follows the same rule: 2 : 2, 3 : 7, 9 : 37. What is 6 : ? (a) 23 (b) 22 (c) 21 (d) 6
17. 17.The simple interest on ₹2500 for 5 years is ₹1000. What is the rate per year? (a) 7% (b) 8% (c) 9% (d) 40%
18. 18.Every pair follows the same rule: 4 : 23, 6 : 31, 7 : 35. What is 9 : ? (a) 28 (b) 44 (c) 43 (d) 42
19. 19.₹2500 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹2700 (b) ₹2650 (c) ₹150 (d) ₹2550
20. 20.If 2 mangoes cost ₹48, how much do 12 mangoes cost? (a) ₹288 (b) ₹312 (c) ₹58 (d) ₹576
21. 21.Every pair follows the same rule: 2 : 2, 4 : 8, 9 : 23. What is 5 : ? (a) 11 (b) 10 (c) 5 (d) 12
22. 22.What is the simple interest on ₹1000 at 6% per year for 4 years? (a) ₹1240 (b) ₹60 (c) ₹300 (d) ₹240
23. 23.The simple interest on ₹4500 for 3 years is ₹675. What is the rate per year? (a) 6% (b) 4% (c) 15% (d) 5%
24. 24.What is the remainder when 563 is divided by 11? (a) 1 (b) 3 (c) 9 (d) 2
25. 25.The simple interest on ₹8000 for 5 years is ₹2800. What is the rate per year? (a) 8% (b) 6% (c) 7% (d) 35%
26. 26.₹216 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹108 (b) ₹18 (c) ₹126 (d) ₹90
27. 27.What is the smallest number you must add to 62 to make it divisible by 3? (a) 1 (b) 2
28. 28.Two ribbons are 32 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 32 cm (b) 8 cm (c) 4 cm (d) 24 cm
29. 29.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 18 cm (d) 19 cm
30. 30.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 39 cm (c) 5 cm (d) 8 cm
31. 31.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 16 cm (d) 30 cm
32. 32.₹10000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹10700 (b) ₹1400 (c) ₹11400 (d) ₹12100
33. 33.₹148 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹37 (b) ₹148 (c) ₹74 (d) ₹111
34. 34.In how many years will ₹2500 earn ₹625 simple interest at 5% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
35. 35.What is the remainder when 88 is divided by 3? (a) 2 (b) 1 (c) 0
36. 36.What is 1/9 of 45? (a) 10 (b) 5 (c) 6 (d) 40
37. 37.Which fraction is greater: 2/5 or 1/7? (a) 2/5 (b) They are equal (c) 1/7
38. 38.Every pair follows the same rule: 2 : 8, 4 : 20, 7 : 53. What is 8 : ? (a) 68 (b) 32 (c) 14 (d) 64
39. 39.What is the units digit of 8^37? (a) 4 (b) 2 (c) 8 (d) 6
40. 40.A teacher has 84 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 672 (b) 84 (c) 12 (d) 6

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