Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 680 · 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.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 34 cm (c) 60 cm (d) 17 cm
2. 2.If 4x + 19 = 2x + 33, what is x? (a) 8 (b) 7 (c) 26 (d) 9
3. 3.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 96 cm (c) 18 cm (d) 10 cm
4. 4.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 378 min (b) 39 min (c) 126 min (d) 3 min
5. 5.₹275 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹25 (b) ₹100 (c) ₹175 (d) ₹200
6. 6.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 1 day (d) 11 days
7. 7.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 12 min (d) 10 min
8. 8.What is the value of the digit 8 in 82.517? (a) 8 (b) 0.8 (c) 0.08 (d) 80
9. 9.What is the simple interest on ₹1500 at 2% per year for 3 years? (a) ₹30 (b) ₹90 (c) ₹120 (d) ₹1590
10. 10.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 36 sq cm (d) 13 sq cm
11. 11.If 14 January is a Wednesday, what day of the week is 22 January? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
12. 12.What is the average of all the whole numbers from 7 to 13? (a) 6 (b) 10 (c) 3 (d) 11
13. 13.If 28 January is a Sunday, what day of the week is 10 February? (a) Monday (b) Saturday (c) Friday (d) Sunday
14. 14.6 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 16 days (b) 19 days (c) 14 days (d) 18 days
15. 15.Two ribbons are 49 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 1 cm (c) 49 cm (d) 7 cm
16. 16.Every pair follows the same rule: 2 : 12, 6 : 44, 8 : 72. What is 9 : ? (a) 19 (b) 89 (c) 54 (d) 86
17. 17.What is the value of the digit 4 in 24.753? (a) 0.4 (b) 0.04 (c) 4 (d) 40
18. 18.8.21 + 5.9 = ? (a) 14.01 (b) 8.8 (c) 14.11 (d) 14.21
19. 19.Which of these numbers is divisible by 3? (a) 301 (b) 305 (c) 303 (d) 308
20. 20.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 63 (c) 86 (d) 37
21. 21.What is the units digit of 3^44? (a) 3 (b) 7 (c) 9 (d) 1
22. 22.What is the simple interest on ₹2000 at 11% per year for 3 years? (a) ₹220 (b) ₹2660 (c) ₹660 (d) ₹880
23. 23.1/4 + 2/4 = ? (a) 3/8 (b) 3/4 (c) 1/2 (d) 1
24. 24.6.49 + 8.7 = ? (a) 15.19 (b) 15.09 (c) 7.36 (d) 15.29
25. 25.Which fraction is greater: 1/4 or 3/8? (a) They are equal (b) 1/4 (c) 3/8
26. 26.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
27. 27.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 58 (b) 27 (c) 3 (d) 4
28. 28.Which of these numbers is divisible by 3? (a) 999 (b) 997 (c) 1004 (d) 1000
29. 29.2.38 + 9.5 = ? (a) 11.98 (b) 11.78 (c) 3.33 (d) 11.88
30. 30.What is the average of 52, 62, 70 and 40? (a) 55 (b) 56 (c) 58 (d) 57
31. 31.Which fraction is greater: 3/8 or 4/5? (a) 3/8 (b) They are equal (c) 4/5
32. 32.8.74 + 6.1 = ? (a) 14.74 (b) 9.35 (c) 14.94 (d) 14.84
33. 33.₹7500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹3600 (b) ₹12000 (c) ₹11100 (d) ₹8400
34. 34.₹572 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹220 (b) ₹44 (c) ₹286 (d) ₹352
35. 35.If 6x + 16 = 94, what is x? (a) 13 (b) 14 (c) 12 (d) 78
36. 36.Every pair follows the same rule: 5 : 19, 6 : 23, 8 : 31. What is 2 : ? (a) 16 (b) 6 (c) 8 (d) 7
37. 37.1/3 + 3/5 = ? (a) 14/15 (b) 1/2 (c) 13/15 (d) 1
38. 38.₹6000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹6360 (b) ₹720 (c) ₹7080 (d) ₹6720
39. 39.If 8x + 8 = 7x + 9, what is x? (a) 3 (b) 17 (c) 2 (d) 1
40. 40.What is the remainder when 114 is divided by 5? (a) 3 (b) 2 (c) 4 (d) 1

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