Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 296 · 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.₹7500 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹8325 (b) ₹10800 (c) ₹9975 (d) ₹2475
2. 2.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 14 cm (d) 9 cm
3. 3.₹7000 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹7560 (b) ₹7140 (c) ₹560 (d) ₹7700
4. 4.If 5 notebooks cost ₹75, how much do 11 notebooks cost? (a) ₹165 (b) ₹180 (c) ₹825 (d) ₹81
5. 5.Every pair follows the same rule: 2 : 2, 4 : 14, 7 : 47. What is 6 : ? (a) 35 (b) 36 (c) 6 (d) 34
6. 6.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 36 sq cm (d) 54 sq cm
7. 7.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 40 (b) 25 (c) 60 (d) 30
8. 8.Which is the greatest: 0.013, 0.2, 0.23, 0.158? (a) 0.013 (b) 0.2 (c) 0.23 (d) 0.158
9. 9.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
10. 10.₹5500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹6050 (b) ₹5610 (c) ₹440 (d) ₹5940
11. 11.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 90 min (c) 270 min (d) 33 min
12. 12.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
13. 13.₹3500 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹1575 (b) ₹5075 (c) ₹3815 (d) ₹5390
14. 14.Every pair follows the same rule: 2 : 4, 4 : 16, 6 : 36. What is 8 : ? (a) 56 (b) 10 (c) 64 (d) 16
15. 15.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 65 (b) 64 (c) 76 (d) 4
16. 16.If x/3 + 5 = 9, what is x? (a) 22 (b) 4 (c) 12 (d) 42
17. 17.If 3 notebooks cost ₹36, how much do 11 notebooks cost? (a) ₹132 (b) ₹396 (c) ₹44 (d) ₹144
18. 18.If 11 January is a Tuesday, what day of the week is 23 January? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
19. 19.₹40 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹5 (b) ₹20 (c) ₹15 (d) ₹25
20. 20.A teacher has 27 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 3 (c) 27 (d) 18
21. 21.Which fraction is greater: 1/9 or 1/3? (a) 1/3 (b) They are equal (c) 1/9
22. 22.Today is Wednesday. What day of the week will it be after 40 days? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
23. 23.If 2 pens cost ₹38, how much do 4 pens cost? (a) ₹95 (b) ₹152 (c) ₹40 (d) ₹76
24. 24.If 20 June is a Wednesday, what day of the week is 5 July? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
25. 25.Which fraction is greater: 1/4 or 5/9? (a) They are equal (b) 5/9 (c) 1/4
26. 26.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
27. 27.Every pair follows the same rule: 5 : 25, 8 : 40, 9 : 45. What is 4 : ? (a) 24 (b) 21 (c) 20 (d) 19
28. 28.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 7 : ? (a) 21 (b) 51 (c) 13 (d) 49
29. 29.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 56 cm (c) 18 cm (d) 32 cm
30. 30.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 94 (b) 31 (c) 70 (d) 38
31. 31.If 7x + 5 = 2x + 30, what is x? (a) 4 (b) 7 (c) 6 (d) 5
32. 32.What is the remainder when 94 is divided by 3? (a) 1 (b) 2 (c) 0
33. 33.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 9 (b) 7 (c) 8 (d) 2
34. 34.If 5x + 16 = 86, what is x? (a) 15 (b) 70 (c) 13 (d) 14
35. 35.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 16 sq cm (d) 60 sq cm
36. 36.Every pair follows the same rule: 3 : 15, 4 : 18, 7 : 27. What is 5 : ? (a) 17 (b) 22 (c) 25 (d) 21
37. 37.The simple interest on ₹7000 for 5 years is ₹3150. What is the rate per year? (a) 8% (b) 10% (c) 45% (d) 9%
38. 38.What is the remainder when 572 is divided by 10? (a) 3 (b) 1 (c) 8 (d) 2
39. 39.Which of these numbers is divisible by 4? (a) 2198 (b) 2196 (c) 2201 (d) 2194
40. 40.What is the simple interest on ₹1500 at 7% per year for 2 years? (a) ₹315 (b) ₹210 (c) ₹105 (d) ₹1710

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