Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 40 · 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 1/8 of 16? (a) 2 (b) 14 (c) 4 (d) 3
2. 2.Two ribbons are 40 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 8 cm (c) 40 cm (d) 4 cm
3. 3.If 8 kites cost ₹144, how much do 9 kites cost? (a) ₹162 (b) ₹1296 (c) ₹180 (d) ₹145
4. 4.What is 4/5 of 45? (a) 45 (b) 37 (c) 9 (d) 36
5. 5.₹8500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹10200 (b) ₹1700 (c) ₹10625 (d) ₹8925
6. 6.What is 1/6 of 66? (a) 55 (b) 12 (c) 11 (d) 22
7. 7.What is the simple interest on ₹7000 at 3% per year for 4 years? (a) ₹1050 (b) ₹210 (c) ₹7840 (d) ₹840
8. 8.What is 1/2 of 18? (a) 9 (b) 8 (c) 18 (d) 10
9. 9.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 56 (b) 77 (c) 49 (d) 35
10. 10.Which fraction is greater: 1/3 or 1/10? (a) 1/3 (b) They are equal (c) 1/10
11. 11.Which of these numbers is divisible by 11? (a) 4394 (b) 4410 (c) 4389 (d) 4382
12. 12.Which is the greatest: 0.6, 0.047, 0.588, 0.69? (a) 0.6 (b) 0.047 (c) 0.588 (d) 0.69
13. 13.A shopkeeper buys a toy for ₹1000 and sells it for ₹900. What is his loss percent? (a) 5% (b) 15% (c) 11% (d) 10%
14. 14.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 11 days (d) 2 days
15. 15.Which of these numbers is divisible by 6? (a) 3929 (b) 3921 (c) 3914 (d) 3918
16. 16.1/6 + 2/3 = ? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1
17. 17.If 1 August is a Wednesday, what day of the week is 9 August? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
18. 18.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 2 min (c) 112 min (d) 56 min
19. 19.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 117 sq cm (c) 42 sq cm (d) 104 sq cm
20. 20.₹441 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹49 (b) ₹392 (c) ₹343 (d) ₹98
21. 21.A teacher has 16 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 16 (c) 2 (d) 4
22. 22.If 7 pens cost ₹70, how much do 11 pens cost? (a) ₹74 (b) ₹110 (c) ₹770 (d) ₹120
23. 23.If 5x + 15 = 65, what is x? (a) 16 (b) 11 (c) 10 (d) 50
24. 24.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 8 cm (c) 16 cm (d) 9 cm
25. 25.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
26. 26.Every pair follows the same rule: 5 : 11, 6 : 14, 8 : 20. What is 2 : ? (a) 1 (b) 2 (c) 8 (d) 3
27. 27.6 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 12 days (b) 3 days (c) 9 days (d) 13 days
28. 28.In how many years will ₹1500 earn ₹225 simple interest at 5% per year? (a) 4 years (b) 3 years (c) 2 years (d) 6 years
29. 29.What is the average of 21, 16, 13 and 50? (a) 27 (b) 25 (c) 26 (d) 24
30. 30.A teacher has 24 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 18 (c) 24 (d) 6
31. 31.Every pair follows the same rule: 3 : 5, 4 : 9, 5 : 13. What is 6 : ? (a) 18 (b) 16 (c) 17 (d) 8
32. 32.If 25 March is a Friday, what day of the week is 4 April? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
33. 33.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 10% (b) 20% (c) 16% (d) 15%
34. 34.What is the units digit of 3^28? (a) 7 (b) 1 (c) 3 (d) 9
35. 35.If 8 July is a Sunday, what day of the week is 20 July? (a) Saturday (b) Thursday (c) Friday (d) Sunday
36. 36.Every pair follows the same rule: 2 : 12, 8 : 18, 9 : 19. What is 3 : ? (a) 18 (b) 12 (c) 14 (d) 13
37. 37.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 44 cm
38. 38.In how many years will ₹3000 earn ₹960 simple interest at 8% per year? (a) 3 years (b) 5 years (c) 4 years (d) 8 years
39. 39.What is the average of 37, 38, 23, 21 and 61? (a) 45 (b) 36 (c) 35 (d) 37
40. 40.A shopkeeper buys a toy for ₹860 and sells it for ₹946. What is his profit percent? (a) 5% (b) 15% (c) 86% (d) 10%

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