Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 799 · 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.In how many years will ₹1500 earn ₹750 simple interest at 10% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
2. 2.If 5x + 5 = 75, what is x? (a) 16 (b) 15 (c) 70 (d) 14
3. 3.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 72 sq cm (d) 17 sq cm
4. 4.Which is the greatest: 0.687, 0.7, 0.061, 0.73? (a) 0.687 (b) 0.7 (c) 0.061 (d) 0.73
5. 5.What is the units digit of 3^37? (a) 9 (b) 3 (c) 1 (d) 7
6. 6.A bag marked ₹540 is sold at a 40% discount. What is its selling price? (a) ₹324 (b) ₹216 (c) ₹500 (d) ₹756
7. 7.Which of these numbers is divisible by 8? (a) 3784 (b) 3786 (c) 3780 (d) 3794
8. 8.7.71 + 4.1 = ? (a) 8.12 (b) 11.71 (c) 11.91 (d) 11.81
9. 9.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 8 cm (c) 21 cm (d) 5 cm
10. 10.6 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 6 days (d) 14 days
11. 11.What is 20% of 580? (a) 1160 (b) 232 (c) 464 (d) 116
12. 12.If 9 notebooks cost ₹108, how much do 10 notebooks cost? (a) ₹1080 (b) ₹120 (c) ₹109 (d) ₹132
13. 13.₹9000 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹9720 (b) ₹12600 (c) ₹13320 (d) ₹3600
14. 14.9.41 + 6.8 = ? (a) 16.21 (b) 16.11 (c) 16.31 (d) 10.09
15. 15.Every pair follows the same rule: 3 : 11, 8 : 21, 9 : 23. What is 4 : ? (a) 13 (b) 15 (c) 14 (d) 12
16. 16.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 28 min (c) 2 min (d) 18 min
17. 17.₹3000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹3090 (b) ₹450 (c) ₹3540 (d) ₹3450
18. 18.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 36 cm
19. 19.Which of these numbers is divisible by 8? (a) 3383 (b) 3362 (c) 3368 (d) 3372
20. 20.Which fraction is greater: 2/3 or 7/10? (a) 2/3 (b) They are equal (c) 7/10
21. 21.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 39 (b) 126 (c) 252 (d) 378
22. 22.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
23. 23.If 11 April is a Tuesday, what day of the week is 15 May? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
24. 24.Which is the greatest: 0.055, 0.58, 0.5, 0.499? (a) 0.055 (b) 0.58 (c) 0.5 (d) 0.499
25. 25.In how many years will ₹9000 earn ₹2430 simple interest at 9% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
26. 26.A bag marked ₹1280 is sold at a 50% discount. What is its selling price? (a) ₹1230 (b) ₹640 (c) ₹641 (d) ₹1920
27. 27.₹1000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹1180 (b) ₹1270 (c) ₹180 (d) ₹1090
28. 28.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 24 cm
29. 29.If 2x − 4 = 6, what is x? (a) 10 (b) 5 (c) 1 (d) 6
30. 30.If 3 notebooks cost ₹72, how much do 4 notebooks cost? (a) ₹73 (b) ₹288 (c) ₹120 (d) ₹96
31. 31.Which of these numbers is divisible by 6? (a) 4823 (b) 4816 (c) 4825 (d) 4818
32. 32.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 26 cm (c) 46 cm (d) 52 cm
33. 33.The simple interest on ₹10000 for 4 years is ₹3200. What is the rate per year? (a) 7% (b) 32% (c) 8% (d) 9%
34. 34.7/9 + 2/4 = ? (a) 5/4 (b) 47/36 (c) 23/18 (d) 9/13
35. 35.1/3 + 2/4 = ? (a) 3/4 (b) 5/6 (c) 11/12 (d) 3/7
36. 36.Every pair follows the same rule: 2 : 12, 3 : 16, 9 : 40. What is 6 : ? (a) 29 (b) 28 (c) 36 (d) 16
37. 37.4 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 13 days (c) 11 days (d) 9 days
38. 38.What is the average of 61, 78, 60, 80 and 91? (a) 73 (b) 75 (c) 74 (d) 76
39. 39.3/5 + 2/7 = ? (a) 5/12 (b) 32/35 (c) 31/35 (d) 6/7
40. 40.What is 5/6 of 72? (a) 12 (b) 60 (c) 72 (d) 61

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