Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 688 · 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.Which fraction is greater: 2/3 or 1/6? (a) 1/6 (b) 2/3 (c) They are equal
2. 2.If 6x + 16 = 70, what is x? (a) 54 (b) 10 (c) 9 (d) 8
3. 3.Which of these numbers is divisible by 8? (a) 6536 (b) 6535 (c) 6550 (d) 6542
4. 4.What is the average of all the whole numbers from 51 to 59? (a) 56 (b) 55 (c) 8 (d) 4
5. 5.In how many years will ₹10000 earn ₹1600 simple interest at 4% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
6. 6.Which of these numbers is divisible by 4? (a) 1357 (b) 1356 (c) 1355 (d) 1361
7. 7.In how many years will ₹5500 earn ₹660 simple interest at 6% per year? (a) 2 years (b) 1 year (c) 3 years (d) 4 years
8. 8.A bag marked ₹1440 is sold at a 15% discount. What is its selling price? (a) ₹1656 (b) ₹1224 (c) ₹1425 (d) ₹216
9. 9.Which fraction is greater: 2/3 or 3/8? (a) 3/8 (b) They are equal (c) 2/3
10. 10.Every pair follows the same rule: 2 : 6, 6 : 38, 8 : 66. What is 3 : ? (a) 12 (b) 9 (c) 7 (d) 11
11. 11.What is 15% of 980? (a) 833 (b) 147 (c) 1470 (d) 294
12. 12.A shopkeeper buys a toy for ₹980 and sells it for ₹1078. What is his profit percent? (a) 15% (b) 98% (c) 5% (d) 10%
13. 13.1/9 + 2/3 = ? (a) 1/4 (b) 7/9 (c) 2/3 (d) 8/9
14. 14.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) 126 (c) 756 (d) 252
15. 15.Which fraction is greater: 3/7 or 5/12? (a) 3/7 (b) They are equal (c) 5/12
16. 16.If 15 August is a Saturday, what day of the week is 4 September? (a) Friday (b) Sunday (c) Saturday (d) Thursday
17. 17.What is the value of the digit 3 in 78.563? (a) 0.3 (b) 3 (c) 0.03 (d) 0.003
18. 18.A shopkeeper buys a toy for ₹180 and sells it for ₹144. What is his loss percent? (a) 15% (b) 36% (c) 20% (d) 25%
19. 19.What is 1/6 of 48? (a) 9 (b) 16 (c) 8 (d) 40
20. 20.What is 25% of 840? (a) 420 (b) 630 (c) 2100 (d) 210
21. 21.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 54 sq cm (c) 42 sq cm (d) 21 sq cm
22. 22.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 120 sq cm (d) 23 sq cm
23. 23.What is 50% of 760? (a) 3800 (b) 381 (c) 760 (d) 380
24. 24.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 121 sq cm (d) 42 sq cm
25. 25.If 8x + 7 = 87, what is x? (a) 9 (b) 80 (c) 10 (d) 11
26. 26.A teacher has 16 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 48 (c) 16 (d) 8
27. 27.A bag marked ₹660 is sold at a 10% discount. What is its selling price? (a) ₹650 (b) ₹66 (c) ₹726 (d) ₹594
28. 28.A teacher has 28 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 224 (d) 28
29. 29.What is the units digit of 2^50? (a) 2 (b) 4 (c) 8 (d) 6
30. 30.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 2 min (c) 28 min (d) 56 min
31. 31.Every pair follows the same rule: 2 : 4, 4 : 16, 8 : 64. What is 6 : ? (a) 12 (b) 40 (c) 36 (d) 8
32. 32.What is 1/3 of 9? (a) 6 (b) 4 (c) 3 (d) 2
33. 33.Which fraction is greater: 2/7 or 1/4? (a) 1/4 (b) 2/7 (c) They are equal
34. 34.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 56 cm (c) 15 cm (d) 23 cm
35. 35.What is the value of the digit 1 in 13.674? (a) 1 (b) 0.1 (c) 10 (d) 0.01
36. 36.₹130 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹65 (b) ₹39 (c) ₹91 (d) ₹13
37. 37.Every pair follows the same rule: 2 : 12, 4 : 16, 5 : 18. What is 7 : ? (a) 42 (b) 23 (c) 17 (d) 22
38. 38.If 14 March is a Wednesday, what day of the week is 24 March? (a) Monday (b) Friday (c) Sunday (d) Saturday
39. 39.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) 60 min (b) 756 min (c) 126 min (d) 6 min
40. 40.A shopkeeper buys a toy for ₹960 and sells it for ₹816. What is his loss percent? (a) 16% (b) 20% (c) 15% (d) 10%

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