Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 474 · 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.Today is Tuesday. What day of the week will it be after 80 days? (a) Saturday (b) Friday (c) Thursday (d) Sunday
2. 2.A teacher has 16 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 48 (b) 8 (c) 4 (d) 16
3. 3.Which of these numbers is divisible by 9? (a) 5339 (b) 5356 (c) 5346 (d) 5353
4. 4.A teacher has 60 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 360 (c) 12 (d) 6
5. 5.Which of these numbers is divisible by 3? (a) 1939 (b) 1933 (c) 1936 (d) 1935
6. 6.What is the smallest number you must add to 46 to make it divisible by 4? (a) 3 (b) 2 (c) 1
7. 7.What is 1/8 of 16? (a) 2 (b) 14 (c) 3 (d) 4
8. 8.₹3000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹600 (b) ₹3600 (c) ₹3120 (d) ₹3720
9. 9.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 20 (c) 8 (d) 4
10. 10.₹10000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹11800 (b) ₹10600 (c) ₹11200 (d) ₹1200
11. 11.A shopkeeper buys a toy for ₹580 and sells it for ₹493. What is his loss percent? (a) 87% (b) 15% (c) 10% (d) 20%
12. 12.What is the units digit of 8^15? (a) 6 (b) 4 (c) 2 (d) 8
13. 13.What is the remainder when 481 is divided by 6? (a) 2 (b) 1 (c) 5 (d) 0
14. 14.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 16 (b) 32 (c) 46 (d) 34
15. 15.₹1500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹540 (b) ₹1680 (c) ₹2220 (d) ₹2040
16. 16.What is 30% of 720? (a) 216 (b) 504 (c) 2160 (d) 432
17. 17.A shopkeeper buys a toy for ₹960 and sells it for ₹576. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
18. 18.If 9x − 34 = 20, what is x? (a) 54 (b) 6 (c) 5 (d) 7
19. 19.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
20. 20.A bag marked ₹1700 is sold at a 30% discount. What is its selling price? (a) ₹1190 (b) ₹1670 (c) ₹510 (d) ₹2210
21. 21.What is the simple interest on ₹1000 at 6% per year for 2 years? (a) ₹180 (b) ₹60 (c) ₹1120 (d) ₹120
22. 22.Every pair follows the same rule: 3 : 5, 6 : 11, 9 : 17. What is 2 : ? (a) 4 (b) 5 (c) 3 (d) 2
23. 23.If 15 December is a Friday, what day of the week is 31 December? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
24. 24.Which is the greatest: 0.031, 0.293, 0.3, 0.39? (a) 0.031 (b) 0.293 (c) 0.3 (d) 0.39
25. 25.Which fraction is greater: 1/4 or 7/10? (a) 1/4 (b) They are equal (c) 7/10
26. 26.If 14 April is a Wednesday, what day of the week is 14 May? (a) Saturday (b) Friday (c) Sunday (d) Thursday
27. 27.If 27 November is a Sunday, what day of the week is 11 December? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
28. 28.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 29 (b) 11 (c) 12 (d) 61
29. 29.If 5 August is a Sunday, what day of the week is 15 August? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
30. 30.Which is the greatest: 0.34, 0.075, 0.3, 0.243? (a) 0.34 (b) 0.075 (c) 0.3 (d) 0.243
31. 31.If 8 pens cost ₹120, how much do 3 pens cost? (a) ₹115 (b) ₹360 (c) ₹60 (d) ₹45
32. 32.The simple interest on ₹4500 for 4 years is ₹1440. What is the rate per year? (a) 8% (b) 9% (c) 7% (d) 32%
33. 33.Which fraction is greater: 3/4 or 1/6? (a) 1/6 (b) 3/4 (c) They are equal
34. 34.If x/2 + 12 = 15, what is x? (a) 3 (b) 18 (c) 54 (d) 6
35. 35.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 19 (b) 20 (c) 25 (d) 52
36. 36.What is the smallest number you must add to 481 to make it divisible by 12? (a) 10 (b) 11 (c) 9 (d) 1
37. 37.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 55 (b) 280 (c) 140 (d) 700
38. 38.Which is the smallest: 0.063, 0.57, 0.454, 0.5? (a) 0.063 (b) 0.57 (c) 0.454 (d) 0.5
39. 39.₹132 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹88 (b) ₹44 (c) ₹66 (d) ₹132
40. 40.If x/3 + 11 = 20, what is x? (a) 49 (b) 27 (c) 9 (d) 93

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