Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 835 · 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 8 cm wide. What is its perimeter? (a) 20 cm (b) 96 cm (c) 40 cm (d) 32 cm
2. 2.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹36 (b) ₹45 (c) ₹27 (d) ₹9
3. 3.Which is the smallest: 0.62, 0.067, 0.6, 0.588? (a) 0.62 (b) 0.067 (c) 0.6 (d) 0.588
4. 4.What is 60% of 700? (a) 280 (b) 4200 (c) 420 (d) 840
5. 5.If 23 May is a Thursday, what day of the week is 1 June? (a) Sunday (b) Saturday (c) Friday (d) Monday
6. 6.What is 5/6 of 66? (a) 56 (b) 55 (c) 66 (d) 11
7. 7.What is the smallest number you must add to 306 to make it divisible by 12? (a) 6 (b) 7 (c) 8 (d) 5
8. 8.What is the value of the digit 4 in 84.729? (a) 40 (b) 0.4 (c) 0.04 (d) 4
9. 9.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 540 min (c) 90 min (d) 48 min
10. 10.What is the smallest number you must add to 273 to make it divisible by 6? (a) 3 (b) 2 (c) 4 (d) 5
11. 11.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 41 (b) 22 (c) 13 (d) 32
12. 12.If 4 kites cost ₹48, how much do 9 kites cost? (a) ₹432 (b) ₹53 (c) ₹120 (d) ₹108
13. 13.What is the average of 24, 14, 13 and 49? (a) 24 (b) 27 (c) 25 (d) 26
14. 14.What is 15% of 360? (a) 108 (b) 540 (c) 54 (d) 306
15. 15.₹84 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹84 (b) ₹14 (c) ₹70 (d) ₹42
16. 16.If x/6 + 5 = 17, what is x? (a) 72 (b) 97 (c) 12 (d) 132
17. 17.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 22 days (c) 13 days (d) 21 days
18. 18.A bag marked ₹320 is sold at a 30% discount. What is its selling price? (a) ₹416 (b) ₹224 (c) ₹290 (d) ₹96
19. 19.Today is Saturday. What day of the week will it be after 70 days? (a) Monday (b) Sunday (c) Friday (d) Saturday
20. 20.If 2x + 11 = 31, what is x? (a) 10 (b) 21 (c) 11 (d) 20
21. 21.If 5x + 6 = x + 18, what is x? (a) 3 (b) 4 (c) 6 (d) 2
22. 22.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 126 cm (c) 8 cm (d) 9 cm
23. 23.What is 1/8 of 80? (a) 10 (b) 20 (c) 70 (d) 11
24. 24.A teacher has 14 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 4 (c) 1 (d) 2
25. 25.What is 4/7 of 49? (a) 21 (b) 7 (c) 28 (d) 35
26. 26.₹153 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹102 (b) ₹17 (c) ₹68 (d) ₹85
27. 27.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 42 cm (d) 26 cm
28. 28.If 7x + 16 = 5x + 38, what is x? (a) 13 (b) 12 (c) 11 (d) 27
29. 29.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 96 sq cm (d) 108 sq cm
30. 30.If 3 kites cost ₹45, how much do 5 kites cost? (a) ₹225 (b) ₹47 (c) ₹90 (d) ₹75
31. 31.What is the average of 57, 64, 68 and 27? (a) 54 (b) 72 (c) 55 (d) 53
32. 32.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 180 cm
33. 33.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 72 sq cm (c) 34 sq cm (d) 17 sq cm
34. 34.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 8 cm (c) 72 cm (d) 14 cm
35. 35.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
36. 36.A shopkeeper buys a toy for ₹440 and sells it for ₹616. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
37. 37.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 240 (b) 60 (c) 120 (d) 32
38. 38.If 23 October is a Wednesday, what day of the week is 17 November? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
39. 39.₹384 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹336 (b) ₹192 (c) ₹384 (d) ₹48
40. 40.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 20 min (c) 96 min (d) 24 min

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