Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 74 · 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.Which fraction is greater: 3/4 or 5/7? (a) 5/7 (b) They are equal (c) 3/4
2. 2.The simple interest on ₹6000 for 2 years is ₹840. What is the rate per year? (a) 7% (b) 8% (c) 14% (d) 6%
3. 3.9.92 + 2.5 = ? (a) 12.32 (b) 12.52 (c) 12.42 (d) 10.17
4. 4.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 180 cm
5. 5.₹8500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹11050 (b) ₹9350 (c) ₹10200 (d) ₹1700
6. 6.6 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 11 days (b) 10 days (c) 18 days (d) 12 days
7. 7.Today is Friday. What day of the week will it be after 52 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
8. 8.If 11 January is a Saturday, what day of the week is 23 January? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
9. 9.A teacher has 20 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 20 (c) 5 (d) 60
10. 10.If 12 March is a Saturday, what day of the week is 20 April? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
11. 11.Which fraction is greater: 1/5 or 6/7? (a) 1/5 (b) They are equal (c) 6/7
12. 12.A shopkeeper buys a toy for ₹560 and sells it for ₹504. What is his loss percent? (a) 15% (b) 5% (c) 56% (d) 10%
13. 13.A bag marked ₹260 is sold at a 20% discount. What is its selling price? (a) ₹52 (b) ₹312 (c) ₹240 (d) ₹208
14. 14.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 19 (b) 5 (c) 4 (d) 43
15. 15.What is the smallest number you must add to 276 to make it divisible by 8? (a) 3 (b) 5 (c) 4 (d) 6
16. 16.In how many years will ₹7000 earn ₹1470 simple interest at 7% per year? (a) 6 years (b) 3 years (c) 2 years (d) 4 years
17. 17.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 21 cm (d) 38 cm
18. 18.In how many years will ₹7500 earn ₹1200 simple interest at 8% per year? (a) 4 years (b) 2 years (c) 3 years (d) 1 year
19. 19.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 4 days (d) 7 days
20. 20.Today is Saturday. What day of the week will it be after 23 days? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
21. 21.What is the simple interest on ₹3000 at 2% per year for 2 years? (a) ₹3120 (b) ₹60 (c) ₹120 (d) ₹180
22. 22.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 36 (b) 25 (c) 19 (d) 8
23. 23.If 2 pens cost ₹12, how much do 12 pens cost? (a) ₹78 (b) ₹22 (c) ₹144 (d) ₹72
24. 24.Today is Friday. What day of the week will it be after 40 days? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
25. 25.Which of these numbers is divisible by 3? (a) 2429 (b) 2434 (c) 2431 (d) 2430
26. 26.What is the value of the digit 5 in 36.259? (a) 5 (b) 0.05 (c) 0.5 (d) 0.005
27. 27.What is the value of the digit 2 in 29.714? (a) 0.2 (b) 0.02 (c) 2 (d) 20
28. 28.If 7 pens cost ₹112, how much do 6 pens cost? (a) ₹672 (b) ₹96 (c) ₹111 (d) ₹112
29. 29.A teacher has 21 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 7 (c) 1 (d) 84
30. 30.Today is Tuesday. What day of the week will it be after 85 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
31. 31.₹3000 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹1500 (b) ₹4500 (c) ₹3300 (d) ₹4800
32. 32.Which fraction is greater: 7/10 or 1/3? (a) 7/10 (b) They are equal (c) 1/3
33. 33.Which is the greatest: 0.67, 0.538, 0.055, 0.6? (a) 0.67 (b) 0.538 (c) 0.055 (d) 0.6
34. 34.Every pair follows the same rule: 2 : 6, 8 : 24, 9 : 27. What is 3 : ? (a) 10 (b) 7 (c) 9 (d) 8
35. 35.A shopkeeper buys a toy for ₹940 and sells it for ₹1222. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
36. 36.If 4x + 16 = 2x + 40, what is x? (a) 13 (b) 28 (c) 12 (d) 4
37. 37.Which of these numbers is divisible by 8? (a) 5145 (b) 5137 (c) 5131 (d) 5136
38. 38.What is the smallest number you must add to 648 to make it divisible by 11? (a) 10 (b) 1 (c) 3 (d) 2
39. 39.If 4 pens cost ₹44, how much do 9 pens cost? (a) ₹110 (b) ₹99 (c) ₹396 (d) ₹49
40. 40.Every pair follows the same rule: 2 : 3, 8 : 15, 9 : 17. What is 3 : ? (a) 7 (b) 4 (c) 6 (d) 5

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