Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 264 · 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 the average of 75, 59, 60 and 82? (a) 70 (b) 68 (c) 92 (d) 69
2. 2.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 108 cm
3. 3.A bag marked ₹1620 is sold at a 50% discount. What is its selling price? (a) ₹810 (b) ₹811 (c) ₹1570 (d) ₹2430
4. 4.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 90 min (c) 270 min (d) 33 min
5. 5.What is 20% of 840? (a) 336 (b) 672 (c) 1680 (d) 168
6. 6.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 46 sq cm (c) 23 sq cm (d) 143 sq cm
7. 7.What is the units digit of 8^31? (a) 6 (b) 8 (c) 2 (d) 4
8. 8.A teacher has 16 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 16 (c) 144 (d) 2
9. 9.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 432 min (b) 72 min (c) 6 min (d) 42 min
10. 10.If 6 May is a Monday, what day of the week is 15 May? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
11. 11.If 13 April is a Monday, what day of the week is 17 May? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
12. 12.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 64 (b) 46 (c) 4 (d) 65
13. 13.Today is Saturday. What day of the week will it be after 68 days? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
14. 14.If 8 notebooks cost ₹104, how much do 2 notebooks cost? (a) ₹26 (b) ₹208 (c) ₹39 (d) ₹98
15. 15.What is the units digit of 2^23? (a) 6 (b) 8 (c) 2 (d) 4
16. 16.If 13 July is a Monday, what day of the week is 22 July? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
17. 17.Today is Monday. What day of the week will it be after 16 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
18. 18.A shopkeeper buys a toy for ₹180 and sells it for ₹225. What is his profit percent? (a) 25% (b) 30% (c) 45% (d) 20%
19. 19.1.53 + 8.7 = ? (a) 10.23 (b) 10.13 (c) 2.4 (d) 10.33
20. 20.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 2 : ? (a) 7 (b) 9 (c) 8 (d) 2
21. 21.Which is the smallest: 0.76, 0.691, 0.7, 0.057? (a) 0.76 (b) 0.691 (c) 0.7 (d) 0.057
22. 22.If 7x + 3 = 5x + 27, what is x? (a) 12 (b) 15 (c) 13 (d) 2
23. 23.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 22 min (c) 120 min (d) 60 min
24. 24.A teacher has 4 pencils and 6 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 1 (d) 4
25. 25.What is the simple interest on ₹6000 at 6% per year for 3 years? (a) ₹7080 (b) ₹1440 (c) ₹1080 (d) ₹360
26. 26.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 36 cm (c) 30 cm (d) 27 cm
27. 27.If x/3 + 4 = 12, what is x? (a) 8 (b) 48 (c) 24 (d) 32
28. 28.If 2 pens cost ₹24, how much do 6 pens cost? (a) ₹144 (b) ₹28 (c) ₹72 (d) ₹84
29. 29.A bag marked ₹1040 is sold at a 30% discount. What is its selling price? (a) ₹1352 (b) ₹312 (c) ₹728 (d) ₹1010
30. 30.Today is Monday. What day of the week will it be after 28 days? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
31. 31.₹196 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹126 (b) ₹14 (c) ₹98 (d) ₹70
32. 32.4.87 + 5.1 = ? (a) 9.97 (b) 10.07 (c) 9.87 (d) 5.38
33. 33.If 11 November is a Thursday, what day of the week is 13 December? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
34. 34.If 8x + 10 = 2x + 22, what is x? (a) 4 (b) 1 (c) 3 (d) 2
35. 35.Today is Thursday. What day of the week will it be after 29 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
36. 36.Which fraction is greater: 4/5 or 1/10? (a) 1/10 (b) They are equal (c) 4/5
37. 37.What is the average of all the whole numbers from 10 to 30? (a) 19 (b) 21 (c) 10 (d) 20
38. 38.What is the units digit of 4^19? (a) 3 (b) 5 (c) 6 (d) 4
39. 39.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 44 cm (c) 48 cm (d) 80 cm
40. 40.9 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 12 days (c) 11 days (d) 13 days

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