Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 610 · 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.Every pair follows the same rule: 4 : 15, 6 : 35, 7 : 48. What is 3 : ? (a) 7 (b) 9 (c) 8 (d) 14
2. 2.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 49 days (d) 19 days
3. 3.What is the units digit of 2^56? (a) 2 (b) 6 (c) 8 (d) 4
4. 4.Every pair follows the same rule: 2 : 10, 4 : 22, 9 : 87. What is 7 : ? (a) 35 (b) 61 (c) 15 (d) 55
5. 5.A teacher has 12 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 20 (c) 4 (d) 2
6. 6.A shopkeeper buys a toy for ₹680 and sells it for ₹408. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
7. 7.If 9 March is a Monday, what day of the week is 18 March? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
8. 8.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 12 days (b) 9 days (c) 4 days (d) 3 days
9. 9.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 2 (b) 28 (c) 13 (d) 1
10. 10.₹56 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹40 (b) ₹8 (c) ₹16 (d) ₹28
11. 11.If 7 notebooks cost ₹84, how much do 8 notebooks cost? (a) ₹96 (b) ₹85 (c) ₹672 (d) ₹108
12. 12.If 8x + 7 = 4x + 23, what is x? (a) 5 (b) 3 (c) 6 (d) 4
13. 13.Which fraction is greater: 3/4 or 1/6? (a) 1/6 (b) They are equal (c) 3/4
14. 14.If 9 October is a Wednesday, what day of the week is 18 October? (a) Sunday (b) Thursday (c) Saturday (d) Friday
15. 15.8/9 + 1/4 = ? (a) 9/13 (b) 10/9 (c) 7/6 (d) 41/36
16. 16.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 54 sq cm (d) 15 sq cm
17. 17.If 9 mangoes cost ₹45, how much do 5 mangoes cost? (a) ₹25 (b) ₹30 (c) ₹41 (d) ₹225
18. 18.2/3 + 5/8 = ? (a) 7/11 (b) 31/24 (c) 4/3 (d) 5/4
19. 19.6 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 12 days (d) 13 days
20. 20.If 5x − 48 = 17, what is x? (a) 12 (b) 65 (c) 14 (d) 13
21. 21.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 44 (b) 120 (c) 480 (d) 240
22. 22.What is 75% of 160? (a) 120 (b) 240 (c) 40 (d) 1200
23. 23.If 1 August is a Saturday, what day of the week is 10 August? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
24. 24.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 26 cm (c) 133 cm (d) 52 cm
25. 25.1/3 + 7/9 = ? (a) 2/3 (b) 1 (c) 11/9 (d) 10/9
26. 26.2/7 + 1/5 = ? (a) 16/35 (b) 1/4 (c) 18/35 (d) 17/35
27. 27.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 70 (b) 45 (c) 40 (d) 35
28. 28.A bag marked ₹1600 is sold at a 40% discount. What is its selling price? (a) ₹1560 (b) ₹960 (c) ₹640 (d) ₹2240
29. 29.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 6 days (c) 48 days (d) 18 days
30. 30.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 61 (c) 93 (d) 48
31. 31.If 6 August is a Tuesday, what day of the week is 15 August? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
32. 32.Every pair follows the same rule: 4 : 24, 5 : 33, 6 : 44. What is 9 : ? (a) 54 (b) 29 (c) 89 (d) 77
33. 33.What is the simple interest on ₹3000 at 6% per year for 2 years? (a) ₹3360 (b) ₹180 (c) ₹360 (d) ₹540
34. 34.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 5 cm (c) 8 cm (d) 4 cm
35. 35.If 9 pens cost ₹180, how much do 2 pens cost? (a) ₹173 (b) ₹60 (c) ₹40 (d) ₹360
36. 36.A teacher has 10 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 8 (c) 1 (d) 10
37. 37.If 7 October is a Tuesday, what day of the week is 20 October? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
38. 38.1/8 + 1/2 = ? (a) 3/4 (b) 1/2 (c) 1/5 (d) 5/8
39. 39.Which fraction is greater: 3/7 or 1/8? (a) 1/8 (b) They are equal (c) 3/7
40. 40.Which is the greatest: 0.198, 0.29, 0.061, 0.2? (a) 0.198 (b) 0.29 (c) 0.061 (d) 0.2

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