Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 758 · 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 15% of 940? (a) 799 (b) 1410 (c) 141 (d) 282
2. 2.1/6 + 1/4 = ? (a) 1/2 (b) 5/12 (c) 1/3 (d) 1/5
3. 3.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 16 min (c) 2 min (d) 60 min
4. 4.9 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 18 days (c) 11 days (d) 17 days
5. 5.What is 1/8 of 88? (a) 12 (b) 22 (c) 11 (d) 77
6. 6.What is the value of the digit 7 in 78.126? (a) 0.07 (b) 7 (c) 0.7 (d) 70
7. 7.A bag marked ₹240 is sold at a 30% discount. What is its selling price? (a) ₹72 (b) ₹168 (c) ₹312 (d) ₹210
8. 8.Which fraction is greater: 3/4 or 2/5? (a) 2/5 (b) 3/4 (c) They are equal
9. 9.Two ribbons are 16 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 12 cm (c) 16 cm (d) 2 cm
10. 10.What is the remainder when 164 is divided by 5? (a) 2 (b) 4 (c) 3 (d) 1
11. 11.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 8 cm (c) 98 cm (d) 9 cm
12. 12.What is the units digit of 8^33? (a) 4 (b) 2 (c) 8 (d) 6
13. 13.What is the average of all the whole numbers from 43 to 77? (a) 17 (b) 61 (c) 34 (d) 60
14. 14.What is the smallest number you must add to 336 to make it divisible by 10? (a) 6 (b) 3 (c) 5 (d) 4
15. 15.Every pair follows the same rule: 6 : 37, 7 : 50, 8 : 65. What is 3 : ? (a) 11 (b) 9 (c) 34 (d) 10
16. 16.A shopkeeper buys a toy for ₹460 and sells it for ₹644. What is his profit percent? (a) 45% (b) 41% (c) 35% (d) 40%
17. 17.A teacher has 16 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 16 (c) 12 (d) 4
18. 18.Which of these numbers is divisible by 8? (a) 4711 (b) 4721 (c) 4712 (d) 4713
19. 19.If x/4 + 12 = 20, what is x? (a) 128 (b) 32 (c) 8 (d) 68
20. 20.₹154 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹112 (b) ₹77 (c) ₹14 (d) ₹42
21. 21.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 24 (c) 13 (d) 12
22. 22.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
23. 23.What is the smallest number you must add to 419 to make it divisible by 7? (a) 6 (b) 1 (c) 3 (d) 2
24. 24.Today is Thursday. What day of the week will it be after 99 days? (a) Friday (b) Sunday (c) Thursday (d) Saturday
25. 25.If 11 March is a Thursday, what day of the week is 20 March? (a) Friday (b) Sunday (c) Saturday (d) Monday
26. 26.If 21 August is a Sunday, what day of the week is 2 September? (a) Saturday (b) Thursday (c) Sunday (d) Friday
27. 27.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) 126 min (c) 756 min (d) 6 min
28. 28.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 28 days (d) 27 days
29. 29.What is the smallest number you must add to 328 to make it divisible by 12? (a) 9 (b) 7 (c) 4 (d) 8
30. 30.What is 5% of 60? (a) 57 (b) 30 (c) 3 (d) 6
31. 31.In how many years will ₹4000 earn ₹1920 simple interest at 12% per year? (a) 8 years (b) 3 years (c) 5 years (d) 4 years
32. 32.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) 84 min (c) 6 min (d) 54 min
33. 33.Two ribbons are 12 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 4 cm (c) 8 cm (d) 2 cm
34. 34.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 4 cm (c) 5 cm (d) 8 cm
35. 35.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 51 cm (c) 62 cm (d) 31 cm
36. 36.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 3 days (b) 15 days (c) 27 days (d) 28 days
37. 37.Every pair follows the same rule: 3 : 11, 7 : 51, 8 : 66. What is 6 : ? (a) 14 (b) 36 (c) 39 (d) 38
38. 38.What is the simple interest on ₹3500 at 3% per year for 2 years? (a) ₹3710 (b) ₹315 (c) ₹210 (d) ₹105
39. 39.₹8500 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹13600 (b) ₹12750 (c) ₹4250 (d) ₹9350
40. 40.3.81 + 7.1 = ? (a) 10.81 (b) 4.52 (c) 11.01 (d) 10.91

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad