Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 447 · 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. 1.6 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 6 days (c) 12 days (d) 18 days
2. 2.6 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 6 days (d) 10 days
3. 3.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
4. 4.A bag marked ₹1860 is sold at a 20% discount. What is its selling price? (a) ₹372 (b) ₹1840 (c) ₹2232 (d) ₹1488
5. 5.What is the average of all the whole numbers from 29 to 59? (a) 30 (b) 15 (c) 44 (d) 45
6. 6.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
7. 7.Today is Monday. What day of the week will it be after 92 days? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
8. 8.5.84 + 1.5 = ? (a) 7.44 (b) 7.24 (c) 7.34 (d) 5.99
9. 9.If 2 pens cost ₹12, how much do 3 pens cost? (a) ₹18 (b) ₹13 (c) ₹24 (d) ₹36
10. 10.Every pair follows the same rule: 2 : 12, 4 : 24, 7 : 42. What is 3 : ? (a) 13 (b) 17 (c) 19 (d) 18
11. 11.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 5 : ? (a) 153 (b) 126 (c) 5 (d) 125
12. 12.Which is the smallest: 0.049, 0.84, 0.8, 0.773? (a) 0.049 (b) 0.84 (c) 0.8 (d) 0.773
13. 13.What is the simple interest on ₹4500 at 11% per year for 5 years? (a) ₹2970 (b) ₹2475 (c) ₹6975 (d) ₹495
14. 14.₹1500 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹825 (b) ₹2490 (c) ₹1665 (d) ₹2325
15. 15.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 3 min (c) 45 min (d) 135 min
16. 16.7 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 13 days (d) 8 days
17. 17.What is 3/4 of 20? (a) 16 (b) 20 (c) 15 (d) 5
18. 18.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 5 min (c) 250 min (d) 35 min
19. 19.A shopkeeper buys a toy for ₹440 and sells it for ₹528. What is his profit percent? (a) 20% (b) 88% (c) 15% (d) 25%
20. 20.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 7 (c) 31 (d) 25
21. 21.Which of these numbers is divisible by 4? (a) 2256 (b) 2258 (c) 2253 (d) 2262
22. 22.If 5x + 17 = 2x + 23, what is x? (a) 4 (b) 1 (c) 2 (d) 3
23. 23.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 28 sq cm (c) 180 sq cm (d) 56 sq cm
24. 24.₹56 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹16 (b) ₹28 (c) ₹8 (d) ₹40
25. 25.1/3 + 2/3 = ? (a) 4/3 (b) 1/2 (c) 1 (d) 2/3
26. 26.Which of these numbers is divisible by 6? (a) 741 (b) 730 (c) 732 (d) 734
27. 27.₹405 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹405 (b) ₹361 (c) ₹45 (d) ₹360
28. 28.If 13 July is a Tuesday, what day of the week is 22 July? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
29. 29.What is 30% of 540? (a) 1620 (b) 324 (c) 162 (d) 378
30. 30.What is the value of the digit 1 in 54.198? (a) 0.1 (b) 0.001 (c) 0.01 (d) 1
31. 31.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 10 cm (d) 18 cm
32. 32.If 5 notebooks cost ₹75, how much do 6 notebooks cost? (a) ₹450 (b) ₹105 (c) ₹76 (d) ₹90
33. 33.8.01 + 6.1 = ? (a) 14.21 (b) 8.62 (c) 14.01 (d) 14.11
34. 34.Today is Tuesday. What day of the week will it be after 83 days? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
35. 35.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 140 sq cm (d) 160 sq cm
36. 36.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 37 cm (c) 40 cm (d) 51 cm
37. 37.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 195 sq cm (c) 27 sq cm (d) 180 sq cm
38. 38.What is the average of all the whole numbers from 14 to 24? (a) 20 (b) 19 (c) 10 (d) 5
39. 39.If 26 April is a Thursday, what day of the week is 4 May? (a) Thursday (b) Saturday (c) Friday (d) Sunday
40. 40.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 7 cm (c) 8 cm (d) 14 cm

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