Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 517 · 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 teacher has 15 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 9 (c) 3 (d) 15
2. 2.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
3. 3.What is the average of 45, 32, 44, 52 and 22? (a) 40 (b) 41 (c) 39 (d) 38
4. 4.Every pair follows the same rule: 2 : 10, 4 : 12, 8 : 16. What is 7 : ? (a) 35 (b) 16 (c) 14 (d) 15
5. 5.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 42 sq cm (d) 17 sq cm
6. 6.Every pair follows the same rule: 2 : 2, 4 : 14, 8 : 62. What is 9 : ? (a) 9 (b) 74 (c) 79 (d) 80
7. 7.What is the average of all the whole numbers from 49 to 81? (a) 32 (b) 66 (c) 16 (d) 65
8. 8.Which is the smallest: 0.071, 0.8, 0.84, 0.722? (a) 0.071 (b) 0.8 (c) 0.84 (d) 0.722
9. 9.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 9 days (d) 5 days
10. 10.What is 25% of 860? (a) 645 (b) 430 (c) 215 (d) 2150
11. 11.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 500 min (b) 5 min (c) 45 min (d) 100 min
12. 12.What is 25% of 660? (a) 495 (b) 165 (c) 1650 (d) 330
13. 13.What is 20% of 120? (a) 24 (b) 240 (c) 48 (d) 96
14. 14.What is the simple interest on ₹1500 at 12% per year for 4 years? (a) ₹900 (b) ₹180 (c) ₹2220 (d) ₹720
15. 15.Today is Monday. What day of the week will it be after 59 days? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
16. 16.A bag marked ₹1640 is sold at a 50% discount. What is its selling price? (a) ₹2460 (b) ₹1590 (c) ₹820 (d) ₹821
17. 17.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 27 sq cm (d) 24 sq cm
18. 18.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
19. 19.Which fraction is greater: 3/4 or 2/5? (a) 3/4 (b) 2/5 (c) They are equal
20. 20.Every pair follows the same rule: 2 : 4, 4 : 8, 5 : 10. What is 7 : ? (a) 15 (b) 9 (c) 14 (d) 13
21. 21.What is the simple interest on ₹9000 at 7% per year for 2 years? (a) ₹10260 (b) ₹1890 (c) ₹630 (d) ₹1260
22. 22.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
23. 23.Which is the smallest: 0.099, 0.52, 0.5, 0.457? (a) 0.099 (b) 0.52 (c) 0.5 (d) 0.457
24. 24.Every pair follows the same rule: 5 : 22, 6 : 33, 8 : 61. What is 2 : ? (a) 1 (b) 2 (c) 19 (d) 3
25. 25.Which fraction is greater: 3/4 or 6/11? (a) They are equal (b) 6/11 (c) 3/4
26. 26.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 10 cm
27. 27.If 2 mangoes cost ₹8, how much do 9 mangoes cost? (a) ₹72 (b) ₹40 (c) ₹15 (d) ₹36
28. 28.Today is Thursday. What day of the week will it be after 72 days? (a) Saturday (b) Monday (c) Friday (d) Sunday
29. 29.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 94 (b) 34 (c) 35 (d) 46
30. 30.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
31. 31.Which of these numbers is divisible by 4? (a) 526 (b) 524 (c) 529 (d) 522
32. 32.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 3 days (c) 15 days (d) 14 days
33. 33.A teacher has 16 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 20 (c) 16 (d) 2
34. 34.A bag marked ₹1720 is sold at a 25% discount. What is its selling price? (a) ₹430 (b) ₹2150 (c) ₹1290 (d) ₹1695
35. 35.6 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 3 days (d) 2 days
36. 36.If 8 kites cost ₹32, how much do 7 kites cost? (a) ₹31 (b) ₹224 (c) ₹28 (d) ₹32
37. 37.If 7 notebooks cost ₹105, how much do 9 notebooks cost? (a) ₹945 (b) ₹107 (c) ₹150 (d) ₹135
38. 38.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 20% (b) 15% (c) 81% (d) 10%
39. 39.If 6 March is a Sunday, what day of the week is 16 March? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
40. 40.8.04 + 3.4 = ? (a) 11.54 (b) 8.38 (c) 11.44 (d) 11.34

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