Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 305 · 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. 1.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 7 days (d) 1 day
2. 2.Two ribbons are 30 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 210 cm (b) 1 cm (c) 5 cm (d) 30 cm
3. 3.What is the simple interest on ₹7500 at 4% per year for 2 years? (a) ₹8100 (b) ₹900 (c) ₹600 (d) ₹300
4. 4.What is the units digit of 3^29? (a) 1 (b) 3 (c) 7 (d) 9
5. 5.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 15 cm (c) 36 cm (d) 30 cm
6. 6.If x/4 + 2 = 4, what is x? (a) 2 (b) 24 (c) 8 (d) 14
7. 7.A teacher has 40 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 8 (c) 24 (d) 4
8. 8.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 48 min (d) 14 min
9. 9.What is 30% of 320? (a) 96 (b) 192 (c) 960 (d) 224
10. 10.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 7 cm (c) 6 cm (d) 12 cm
11. 11.₹480 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹40 (b) ₹240 (c) ₹280 (d) ₹200
12. 12.Today is Thursday. What day of the week will it be after 31 days? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
13. 13.If 9 August is a Friday, what day of the week is 19 August? (a) Monday (b) Tuesday (c) Sunday (d) Wednesday
14. 14.Two ribbons are 15 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 1 cm (c) 5 cm (d) 15 cm
15. 15.Today is Tuesday. What day of the week will it be after 43 days? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
16. 16.If x/4 + 15 = 20, what is x? (a) 65 (b) 20 (c) 140 (d) 5
17. 17.Which of these numbers is divisible by 3? (a) 754 (b) 757 (c) 756 (d) 760
18. 18.If x/4 + 11 = 22, what is x? (a) 44 (b) 11 (c) 132 (d) 77
19. 19.If 12 June is a Sunday, what day of the week is 18 July? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
20. 20.In how many years will ₹1500 earn ₹60 simple interest at 2% per year? (a) 4 years (b) 1 year (c) 3 years (d) 2 years
21. 21.What is the average of all the whole numbers from 11 to 45? (a) 17 (b) 28 (c) 34 (d) 29
22. 22.If 7x + 1 = 2x + 16, what is x? (a) 5 (b) 2 (c) 3 (d) 4
23. 23.A bag marked ₹1120 is sold at a 15% discount. What is its selling price? (a) ₹1105 (b) ₹168 (c) ₹1288 (d) ₹952
24. 24.₹56 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹56 (b) ₹28 (c) ₹49 (d) ₹7
25. 25.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm
26. 26.What is 3/8 of 16? (a) 2 (b) 8 (c) 6 (d) 10
27. 27.A teacher has 16 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 4 (c) 56 (d) 16
28. 28.A shopkeeper buys a toy for ₹920 and sells it for ₹1196. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
29. 29.Which of these numbers is divisible by 3? (a) 236 (b) 232 (c) 231 (d) 229
30. 30.2.24 + 8.5 = ? (a) 10.74 (b) 10.84 (c) 10.64 (d) 3.09
31. 31.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 16 (c) 15 (d) 75
32. 32.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 20 cm (c) 10 cm (d) 11 cm
33. 33.If 9 mangoes cost ₹171, how much do 6 mangoes cost? (a) ₹1026 (b) ₹133 (c) ₹168 (d) ₹114
34. 34.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 35% (b) 45% (c) 96% (d) 40%
35. 35.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
36. 36.What is 5/6 of 72? (a) 72 (b) 61 (c) 12 (d) 60
37. 37.Which is the smallest: 0.021, 0.37, 0.3, 0.253? (a) 0.021 (b) 0.37 (c) 0.3 (d) 0.253
38. 38.A teacher has 15 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 5 (c) 60 (d) 15
39. 39.Two ribbons are 33 cm and 44 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 132 cm (c) 33 cm (d) 11 cm
40. 40.What is the average of 65, 59, 65, 55 and 66? (a) 64 (b) 63 (c) 62 (d) 61

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