Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 801 · 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. 1.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 24 days (b) 2 days (c) 25 days (d) 14 days
2. 2.Every pair follows the same rule: 5 : 26, 7 : 50, 8 : 65. What is 6 : ? (a) 27 (b) 35 (c) 37 (d) 38
3. 3.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 25% (b) 28% (c) 15% (d) 20%
4. 4.If 7x + 20 = 111, what is x? (a) 14 (b) 13 (c) 12 (d) 91
5. 5.₹8500 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹13175 (b) ₹12240 (c) ₹3740 (d) ₹9435
6. 6.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 216 (b) 6 (c) 120 (d) 217
7. 7.₹192 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹192 (b) ₹168 (c) ₹24 (d) ₹96
8. 8.₹528 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹264 (b) ₹308 (c) ₹220 (d) ₹44
9. 9.What is the simple interest on ₹7500 at 7% per year for 4 years? (a) ₹2625 (b) ₹9600 (c) ₹525 (d) ₹2100
10. 10.What is the value of the digit 6 in 16.825? (a) 0.6 (b) 60 (c) 0.06 (d) 6
11. 11.₹330 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹60 (b) ₹30 (c) ₹165 (d) ₹270
12. 12.₹2000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹400 (b) ₹2400 (c) ₹2480 (d) ₹2080
13. 13.What is the remainder when 223 is divided by 7? (a) 4 (b) 5 (c) 1 (d) 6
14. 14.What is 5/7 of 35? (a) 25 (b) 30 (c) 5 (d) 10
15. 15.₹42 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹14 (b) ₹28 (c) ₹42 (d) ₹21
16. 16.Every pair follows the same rule: 3 : 12, 4 : 16, 9 : 36. What is 6 : ? (a) 24 (b) 25 (c) 15 (d) 23
17. 17.Every pair follows the same rule: 2 : 8, 3 : 12, 5 : 20. What is 9 : ? (a) 37 (b) 35 (c) 36 (d) 15
18. 18.1/2 + 5/8 = ? (a) 5/4 (b) 1 (c) 3/5 (d) 9/8
19. 19.₹10000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹10900 (b) ₹900 (c) ₹11200 (d) ₹10300
20. 20.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
21. 21.Every pair follows the same rule: 2 : 6, 4 : 12, 8 : 24. What is 6 : ? (a) 19 (b) 18 (c) 17 (d) 10
22. 22.Which fraction is greater: 1/11 or 1/3? (a) 1/11 (b) They are equal (c) 1/3
23. 23.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 3 min (c) 90 min (d) 21 min
24. 24.What is 50% of 600? (a) 301 (b) 300 (c) 600 (d) 3000
25. 25.Every pair follows the same rule: 2 : 5, 4 : 17, 8 : 65. What is 6 : ? (a) 9 (b) 38 (c) 37 (d) 41
26. 26.If 4x − 30 = 10, what is x? (a) 9 (b) 10 (c) 40 (d) 11
27. 27.If 5 notebooks cost ₹25, how much do 10 notebooks cost? (a) ₹55 (b) ₹30 (c) ₹250 (d) ₹50
28. 28.What is the simple interest on ₹7000 at 9% per year for 5 years? (a) ₹630 (b) ₹3150 (c) ₹3780 (d) ₹10150
29. 29.What is the simple interest on ₹2000 at 11% per year for 2 years? (a) ₹660 (b) ₹2440 (c) ₹220 (d) ₹440
30. 30.The simple interest on ₹1500 for 3 years is ₹360. What is the rate per year? (a) 7% (b) 9% (c) 24% (d) 8%
31. 31.6/8 + 1/4 = ? (a) 1 (b) 9/8 (c) 7/8 (d) 7/12
32. 32.2.83 + 4.2 = ? (a) 7.13 (b) 7.03 (c) 6.93 (d) 3.25
33. 33.A bag marked ₹720 is sold at a 15% discount. What is its selling price? (a) ₹705 (b) ₹108 (c) ₹828 (d) ₹612
34. 34.Every pair follows the same rule: 2 : 4, 3 : 9, 7 : 49. What is 4 : ? (a) 19 (b) 16 (c) 6 (d) 8
35. 35.8 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 20 days (c) 40 days (d) 41 days
36. 36.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 3 days (d) 19 days
37. 37.Which fraction is greater: 1/3 or 4/11? (a) They are equal (b) 1/3 (c) 4/11
38. 38.Which of these numbers is divisible by 3? (a) 822 (b) 821 (c) 827 (d) 823
39. 39.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) 2 min (c) 28 min (d) 18 min
40. 40.Every pair follows the same rule: 5 : 23, 8 : 62, 9 : 79. What is 6 : ? (a) 28 (b) 34 (c) 24 (d) 35

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