Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 657 · 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 simple interest on ₹8500 at 11% per year for 2 years? (a) ₹1870 (b) ₹2805 (c) ₹10370 (d) ₹935
2. 2.Which of these numbers is divisible by 3? (a) 420 (b) 419 (c) 424 (d) 421
3. 3.2.29 + 3.3 = ? (a) 5.49 (b) 5.59 (c) 2.62 (d) 5.69
4. 4.If x/3 + 11 = 21, what is x? (a) 52 (b) 10 (c) 96 (d) 30
5. 5.If 8 mangoes cost ₹168, how much do 9 mangoes cost? (a) ₹189 (b) ₹1512 (c) ₹169 (d) ₹210
6. 6.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
7. 7.What is the smallest number you must add to 249 to make it divisible by 6? (a) 3 (b) 4 (c) 5 (d) 2
8. 8.4/8 + 1/4 = ? (a) 5/8 (b) 3/4 (c) 5/12 (d) 7/8
9. 9.What is the units digit of 2^29? (a) 6 (b) 8 (c) 4 (d) 2
10. 10.What is 8/9 of 90? (a) 81 (b) 10 (c) 90 (d) 80
11. 11.8 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 9 days (b) 10 days (c) 2 days (d) 4 days
12. 12.6/8 + 7/8 = ? (a) 13/8 (b) 13/16 (c) 7/4 (d) 3/2
13. 13.What is the simple interest on ₹3000 at 8% per year for 3 years? (a) ₹720 (b) ₹240 (c) ₹3720 (d) ₹960
14. 14.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
15. 15.Two ribbons are 33 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 44 cm (b) 33 cm (c) 11 cm (d) 1 cm
16. 16.What is the value of the digit 7 in 27.549? (a) 70 (b) 7 (c) 0.07 (d) 0.7
17. 17.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 28 cm
18. 18.If 5x + 28 = 78, what is x? (a) 11 (b) 10 (c) 50 (d) 9
19. 19.What is the remainder when 330 is divided by 8? (a) 2 (b) 3 (c) 1 (d) 6
20. 20.If 15 December is a Tuesday, what day of the week is 24 December? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
21. 21.₹9000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹9450 (b) ₹900 (c) ₹10350 (d) ₹9900
22. 22.Two ribbons are 30 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 10 cm (c) 30 cm (d) 40 cm
23. 23.What is the remainder when 47 is divided by 4? (a) 0 (b) 3 (c) 1 (d) 2
24. 24.What is 2/3 of 6? (a) 2 (b) 6 (c) 4 (d) 5
25. 25.₹528 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹432 (b) ₹48 (c) ₹96 (d) ₹264
26. 26.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 2 min (c) 26 min (d) 168 min
27. 27.A teacher has 8 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 1 (c) 2 (d) 8
28. 28.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 3 days (d) 18 days
29. 29.Which is the greatest: 0.164, 0.063, 0.2, 0.27? (a) 0.164 (b) 0.063 (c) 0.2 (d) 0.27
30. 30.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 18 (b) 41 (c) 80 (d) 40
31. 31.Every pair follows the same rule: 4 : 16, 6 : 26, 8 : 36. What is 2 : ? (a) 14 (b) 8 (c) 7 (d) 6
32. 32.What is the units digit of 2^42? (a) 8 (b) 2 (c) 6 (d) 4
33. 33.Which of these numbers is divisible by 6? (a) 4429 (b) 4427 (c) 4418 (d) 4422
34. 34.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 27 (c) 30 (d) 51
35. 35.What is the simple interest on ₹9000 at 6% per year for 2 years? (a) ₹540 (b) ₹10080 (c) ₹1080 (d) ₹1620
36. 36.Which of these numbers is divisible by 6? (a) 2610 (b) 2613 (c) 2621 (d) 2605
37. 37.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
38. 38.Today is Sunday. What day of the week will it be after 72 days? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
39. 39.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 20% (b) 30% (c) 80% (d) 25%
40. 40.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 27 days (d) 15 days

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