Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 961 · 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.If 3 kites cost ₹36, how much do 2 kites cost? (a) ₹35 (b) ₹72 (c) ₹36 (d) ₹24
2. 2.What is the average of all the whole numbers from 52 to 62? (a) 5 (b) 58 (c) 10 (d) 57
3. 3.If 30 October is a Thursday, what day of the week is 16 November? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
4. 4.What is the units digit of 9^41? (a) 9 (b) 7 (c) 8 (d) 1
5. 5.Every pair follows the same rule: 4 : 15, 5 : 24, 6 : 35. What is 2 : ? (a) 2 (b) 13 (c) 4 (d) 3
6. 6.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 30 cm (d) 23 cm
7. 7.A bag marked ₹1820 is sold at a 10% discount. What is its selling price? (a) ₹182 (b) ₹1810 (c) ₹2002 (d) ₹1638
8. 8.If 5x + 2 = 67, what is x? (a) 14 (b) 65 (c) 12 (d) 13
9. 9.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%
10. 10.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 45 cm (c) 7 cm (d) 6 cm
11. 11.What is the value of the digit 3 in 82.973? (a) 3 (b) 0.003 (c) 0.03 (d) 0.3
12. 12.Which fraction is greater: 1/11 or 2/7? (a) 2/7 (b) 1/11 (c) They are equal
13. 13.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 89 (b) 49 (c) 47 (d) 54
14. 14.Every pair follows the same rule: 2 : 9, 5 : 12, 9 : 16. What is 6 : ? (a) 12 (b) 14 (c) 13 (d) 15
15. 15.A bag marked ₹1040 is sold at a 40% discount. What is its selling price? (a) ₹1000 (b) ₹624 (c) ₹1456 (d) ₹416
16. 16.What is the simple interest on ₹8500 at 4% per year for 2 years? (a) ₹9180 (b) ₹680 (c) ₹1020 (d) ₹340
17. 17.6.51 + 2.5 = ? (a) 6.76 (b) 9.01 (c) 9.11 (d) 8.91
18. 18.If 3 mangoes cost ₹63, how much do 7 mangoes cost? (a) ₹67 (b) ₹147 (c) ₹441 (d) ₹168
19. 19.4.54 + 7.2 = ? (a) 11.64 (b) 11.74 (c) 5.26 (d) 11.84
20. 20.The simple interest on ₹9000 for 3 years is ₹2700. What is the rate per year? (a) 9% (b) 11% (c) 10% (d) 30%
21. 21.What is the value of the digit 3 in 76.153? (a) 0.03 (b) 3 (c) 0.3 (d) 0.003
22. 22.What is 75% of 940? (a) 1410 (b) 7050 (c) 705 (d) 235
23. 23.A teacher has 10 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 10 (c) 60 (d) 1
24. 24.If 14 August is a Friday, what day of the week is 22 August? (a) Monday (b) Saturday (c) Friday (d) Sunday
25. 25.What is the remainder when 187 is divided by 7? (a) 6 (b) 5 (c) 2 (d) 4
26. 26.The simple interest on ₹6500 for 2 years is ₹1430. What is the rate per year? (a) 11% (b) 22% (c) 12% (d) 10%
27. 27.If 8x + 16 = 5x + 52, what is x? (a) 13 (b) 14 (c) 11 (d) 12
28. 28.Every pair follows the same rule: 3 : 13, 4 : 15, 8 : 23. What is 9 : ? (a) 25 (b) 19 (c) 26 (d) 24
29. 29.₹6500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹780 (b) ₹7280 (c) ₹6760 (d) ₹7540
30. 30.Which fraction is greater: 3/5 or 1/4? (a) 3/5 (b) 1/4 (c) They are equal
31. 31.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 10 cm (c) 80 cm (d) 5 cm
32. 32.If 13 May is a Wednesday, what day of the week is 21 May? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
33. 33.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 33 (b) 64 (c) 12 (d) 43
34. 34.What is the remainder when 686 is divided by 12? (a) 1 (b) 10 (c) 2 (d) 3
35. 35.What is 4/9 of 72? (a) 8 (b) 33 (c) 32 (d) 40
36. 36.What is the average of 61, 64, 70, 58, 58 and 19? (a) 56 (b) 54 (c) 66 (d) 55
37. 37.What is the simple interest on ₹5000 at 11% per year for 5 years? (a) ₹7750 (b) ₹2750 (c) ₹550 (d) ₹3300
38. 38.A teacher has 16 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 80 (b) 4 (c) 16 (d) 2
39. 39.What is the smallest number you must add to 413 to make it divisible by 11? (a) 6 (b) 4 (c) 5 (d) 7
40. 40.A teacher has 35 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 7 (c) 35 (d) 1

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