Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 639 · 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.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 504 min (b) 6 min (c) 54 min (d) 84 min
2. 2.Which is the smallest: 0.7, 0.036, 0.76, 0.678? (a) 0.7 (b) 0.036 (c) 0.76 (d) 0.678
3. 3.Today is Tuesday. What day of the week will it be after 94 days? (a) Thursday (b) Friday (c) Saturday (d) Sunday
4. 4.If 3x + 12 = 48, what is x? (a) 13 (b) 20 (c) 12 (d) 36
5. 5.What is the value of the digit 5 in 46.951? (a) 0.5 (b) 5 (c) 0.005 (d) 0.05
6. 6.₹230 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹230 (b) ₹184 (c) ₹115 (d) ₹46
7. 7.What is the simple interest on ₹10000 at 7% per year for 4 years? (a) ₹12800 (b) ₹2800 (c) ₹700 (d) ₹3500
8. 8.What is 4/9 of 108? (a) 60 (b) 49 (c) 48 (d) 12
9. 9.Today is Saturday. What day of the week will it be after 22 days? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
10. 10.₹192 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹192 (b) ₹32 (c) ₹96 (d) ₹160
11. 11.What is the simple interest on ₹6000 at 7% per year for 5 years? (a) ₹2520 (b) ₹8100 (c) ₹2100 (d) ₹420
12. 12.What is the simple interest on ₹2000 at 2% per year for 3 years? (a) ₹160 (b) ₹40 (c) ₹120 (d) ₹2120
13. 13.1/5 + 2/4 = ? (a) 3/4 (b) 13/20 (c) 1/3 (d) 7/10
14. 14.4.89 + 3.1 = ? (a) 7.89 (b) 7.99 (c) 8.09 (d) 5.2
15. 15.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 95 (c) 30 (d) 75
16. 16.If 9 mangoes cost ₹108, how much do 4 mangoes cost? (a) ₹60 (b) ₹432 (c) ₹48 (d) ₹103
17. 17.What is the units digit of 8^25? (a) 6 (b) 4 (c) 2 (d) 8
18. 18.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 14 cm (c) 60 cm (d) 8 cm
19. 19.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 135 cm
20. 20.A teacher has 25 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 25 (b) 5 (c) 1 (d) 20
21. 21.Which is the smallest: 0.019, 0.55, 0.5, 0.418? (a) 0.019 (b) 0.55 (c) 0.5 (d) 0.418
22. 22.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 70 min (c) 140 min (d) 2 min
23. 23.Every pair follows the same rule: 5 : 23, 6 : 24, 9 : 27. What is 2 : ? (a) 19 (b) 21 (c) 22 (d) 20
24. 24.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 16%
25. 25.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 3 days (d) 6 days
26. 26.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 28 cm (d) 6 cm
27. 27.If x/4 + 7 = 18, what is x? (a) 11 (b) 65 (c) 44 (d) 100
28. 28.Two ribbons are 18 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 18 cm (b) 126 cm (c) 3 cm (d) 1 cm
29. 29.What is 1/8 of 40? (a) 35 (b) 6 (c) 5 (d) 10
30. 30.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 3 min (c) 36 min (d) 315 min
31. 31.What is the value of the digit 2 in 62.175? (a) 20 (b) 2 (c) 0.02 (d) 0.2
32. 32.Every pair follows the same rule: 3 : 19, 6 : 22, 9 : 25. What is 7 : ? (a) 22 (b) 25 (c) 23 (d) 24
33. 33.A bag marked ₹1100 is sold at a 20% discount. What is its selling price? (a) ₹880 (b) ₹1320 (c) ₹1080 (d) ₹220
34. 34.If 7 pens cost ₹168, how much do 6 pens cost? (a) ₹168 (b) ₹167 (c) ₹144 (d) ₹1008
35. 35.3/6 + 1/2 = ? (a) 1/2 (b) 5/6 (c) 1 (d) 7/6
36. 36.1/7 + 3/4 = ? (a) 4/11 (b) 13/14 (c) 25/28 (d) 6/7
37. 37.What is the remainder when 284 is divided by 12? (a) 7 (b) 8 (c) 9 (d) 4
38. 38.If 12 December is a Sunday, what day of the week is 25 December? (a) Sunday (b) Monday (c) Friday (d) Saturday
39. 39.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
40. 40.If 20 January is a Sunday, what day of the week is 13 February? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday

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