Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 254 · 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 rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 9 cm (c) 140 cm (d) 8 cm
2. 2.Every pair follows the same rule: 3 : 17, 6 : 32, 7 : 37. What is 2 : ? (a) 16 (b) 13 (c) 12 (d) 11
3. 3.What is the average of all the whole numbers from 49 to 55? (a) 53 (b) 3 (c) 6 (d) 52
4. 4.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 2 : ? (a) 8 (b) 2 (c) 7 (d) 9
5. 5.If 3 kites cost ₹63, how much do 6 kites cost? (a) ₹66 (b) ₹126 (c) ₹378 (d) ₹147
6. 6.Today is Tuesday. What day of the week will it be after 29 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
7. 7.What is 1/2 of 18? (a) 10 (b) 18 (c) 8 (d) 9
8. 8.What is the average of all the whole numbers from 15 to 27? (a) 21 (b) 12 (c) 6 (d) 22
9. 9.Every pair follows the same rule: 2 : 6, 3 : 9, 4 : 12. What is 9 : ? (a) 28 (b) 27 (c) 26 (d) 13
10. 10.9.17 + 4.8 = ? (a) 13.87 (b) 13.97 (c) 9.65 (d) 14.07
11. 11.4.46 + 4.5 = ? (a) 4.91 (b) 8.86 (c) 9.06 (d) 8.96
12. 12.What is 30% of 40? (a) 24 (b) 120 (c) 28 (d) 12
13. 13.What is the value of the digit 6 in 13.526? (a) 6 (b) 0.06 (c) 0.6 (d) 0.006
14. 14.₹4500 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹4815 (b) ₹1260 (c) ₹5760 (d) ₹6075
15. 15.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 36 (c) 66 (d) 40
16. 16.₹2000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹2600 (b) ₹2200 (c) ₹400 (d) ₹2400
17. 17.Which is the smallest: 0.59, 0.5, 0.433, 0.012? (a) 0.59 (b) 0.5 (c) 0.433 (d) 0.012
18. 18.What is the value of the digit 5 in 95.381? (a) 50 (b) 0.5 (c) 0.05 (d) 5
19. 19.If 9 pens cost ₹153, how much do 3 pens cost? (a) ₹459 (b) ₹68 (c) ₹147 (d) ₹51
20. 20.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 44 min (c) 4 min (d) 480 min
21. 21.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
22. 22.What is the smallest number you must add to 365 to make it divisible by 10? (a) 7 (b) 5 (c) 6 (d) 4
23. 23.₹6500 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹7475 (b) ₹650 (c) ₹7150 (d) ₹6825
24. 24.₹88 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹8 (b) ₹64 (c) ₹44 (d) ₹24
25. 25.What is the remainder when 99 is divided by 4? (a) 0 (b) 1 (c) 2 (d) 3
26. 26.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 55 (c) 56 (d) 103
27. 27.Which fraction is greater: 1/7 or 5/8? (a) 5/8 (b) 1/7 (c) They are equal
28. 28.₹55 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹44 (b) ₹45 (c) ₹55 (d) ₹11
29. 29.The simple interest on ₹6500 for 5 years is ₹1300. What is the rate per year? (a) 20% (b) 4% (c) 5% (d) 3%
30. 30.A teacher has 4 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 14 (c) 1 (d) 2
31. 31.Which is the greatest: 0.759, 0.89, 0.019, 0.8? (a) 0.759 (b) 0.89 (c) 0.019 (d) 0.8
32. 32.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 42 cm (d) 20 cm
33. 33.What is the average of 39, 38, 13 and 14? (a) 27 (b) 28 (c) 25 (d) 26
34. 34.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 60%
35. 35.What is the units digit of 9^17? (a) 9 (b) 8 (c) 7 (d) 1
36. 36.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 52 sq cm (c) 120 sq cm (d) 26 sq cm
37. 37.A teacher has 12 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 12 (c) 1 (d) 84
38. 38.A teacher has 24 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 8 (c) 16 (d) 4
39. 39.What is 1/3 of 27? (a) 8 (b) 10 (c) 18 (d) 9
40. 40.A teacher has 77 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 77 (b) 616 (c) 11 (d) 1

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