Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 70 · 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 1/6 of 72? (a) 13 (b) 60 (c) 24 (d) 12
2. 2.What is 50% of 740? (a) 740 (b) 3700 (c) 371 (d) 370
3. 3.What is 60% of 1000? (a) 600 (b) 400 (c) 6000 (d) 1200
4. 4.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 17 cm (d) 21 cm
5. 5.The simple interest on ₹1500 for 3 years is ₹135. What is the rate per year? (a) 3% (b) 4% (c) 9% (d) 2%
6. 6.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 12 cm (d) 22 cm
7. 7.Which is the smallest: 0.25, 0.183, 0.056, 0.2? (a) 0.25 (b) 0.183 (c) 0.056 (d) 0.2
8. 8.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 35 (c) 21 (d) 53
9. 9.If 12 December is a Tuesday, what day of the week is 20 December? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
10. 10.Two ribbons are 20 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 70 cm (b) 5 cm (c) 20 cm (d) 10 cm
11. 11.If 5 pens cost ₹55, how much do 2 pens cost? (a) ₹52 (b) ₹110 (c) ₹33 (d) ₹22
12. 12.Which of these numbers is divisible by 8? (a) 7104 (b) 7102 (c) 7106 (d) 7115
13. 13.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 19 days (d) 3 days
14. 14.What is 1/2 of 20? (a) 20 (b) 10 (c) 9 (d) 11
15. 15.If 3x + 23 = 29, what is x? (a) 3 (b) 2 (c) 6 (d) 1
16. 16.What is the remainder when 267 is divided by 9? (a) 7 (b) 5 (c) 6 (d) 3
17. 17.Which fraction is greater: 4/5 or 7/8? (a) They are equal (b) 4/5 (c) 7/8
18. 18.Which of these numbers is divisible by 8? (a) 6550 (b) 6566 (c) 6559 (d) 6552
19. 19.What is the smallest number you must add to 97 to make it divisible by 6? (a) 3 (b) 5 (c) 4 (d) 1
20. 20.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
21. 21.What is 1/2 of 22? (a) 12 (b) 11 (c) 10 (d) 22
22. 22.Which is the smallest: 0.737, 0.8, 0.086, 0.89? (a) 0.737 (b) 0.8 (c) 0.086 (d) 0.89
23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
24. 24.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 26 days (d) 27 days
25. 25.₹145 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹58 (b) ₹29 (c) ₹116 (d) ₹87
26. 26.Every pair follows the same rule: 2 : 10, 3 : 14, 4 : 18. What is 6 : ? (a) 14 (b) 30 (c) 27 (d) 26
27. 27.Which is the greatest: 0.459, 0.079, 0.5, 0.54? (a) 0.459 (b) 0.079 (c) 0.5 (d) 0.54
28. 28.Which is the greatest: 0.185, 0.23, 0.2, 0.038? (a) 0.185 (b) 0.23 (c) 0.2 (d) 0.038
29. 29.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) 72 min (b) 42 min (c) 432 min (d) 6 min
30. 30.₹2000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹280 (b) ₹2420 (c) ₹2280 (d) ₹2140
31. 31.If 9 notebooks cost ₹171, how much do 3 notebooks cost? (a) ₹57 (b) ₹76 (c) ₹513 (d) ₹165
32. 32.Which of these numbers is divisible by 6? (a) 1647 (b) 1659 (c) 1650 (d) 1651
33. 33.A teacher has 16 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 16 (c) 40 (d) 8
34. 34.2/4 + 6/9 = ? (a) 43/36 (b) 8/13 (c) 41/36 (d) 7/6
35. 35.What is the simple interest on ₹3000 at 7% per year for 2 years? (a) ₹210 (b) ₹630 (c) ₹3420 (d) ₹420
36. 36.What is the simple interest on ₹4000 at 3% per year for 2 years? (a) ₹4240 (b) ₹240 (c) ₹120 (d) ₹360
37. 37.If 7 December is a Thursday, what day of the week is 16 December? (a) Saturday (b) Monday (c) Sunday (d) Friday
38. 38.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 40 (b) 20 (c) 21 (d) 14
39. 39.A shopkeeper buys a toy for ₹760 and sells it for ₹874. What is his profit percent? (a) 15% (b) 10% (c) 16% (d) 20%
40. 40.₹420 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹420 (b) ₹378 (c) ₹42 (d) ₹210

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