Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 793 · 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 8 mangoes cost ₹136, how much do 9 mangoes cost? (a) ₹1224 (b) ₹153 (c) ₹137 (d) ₹170
2. 2.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 24 (b) 12 (c) 13 (d) 10
3. 3.₹9500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹10070 (b) ₹11780 (c) ₹1710 (d) ₹11210
4. 4.₹306 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹170 (b) ₹34 (c) ₹153 (d) ₹136
5. 5.Which is the smallest: 0.752, 0.034, 0.85, 0.8? (a) 0.752 (b) 0.034 (c) 0.85 (d) 0.8
6. 6.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
7. 7.If 3 pens cost ₹54, how much do 9 pens cost? (a) ₹60 (b) ₹180 (c) ₹486 (d) ₹162
8. 8.Every pair follows the same rule: 2 : 9, 6 : 29, 8 : 39. What is 3 : ? (a) 14 (b) 15 (c) 13 (d) 10
9. 9.A teacher has 72 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 72 (b) 504 (c) 6 (d) 12
10. 10.A shopkeeper buys a toy for ₹120 and sells it for ₹168. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 48%
11. 11.Today is Wednesday. What day of the week will it be after 64 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
12. 12.If 13 December is a Monday, what day of the week is 25 December? (a) Friday (b) Monday (c) Saturday (d) Sunday
13. 13.If 4x + 16 = x + 25, what is x? (a) 5 (b) 3 (c) 2 (d) 4
14. 14.₹6500 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹6890 (b) ₹8060 (c) ₹8450 (d) ₹1560
15. 15.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 60 min (c) 27 min (d) 180 min
16. 16.A teacher has 4 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 6 (d) 1
17. 17.If x/2 + 1 = 3, what is x? (a) 5 (b) 8 (c) 4 (d) 2
18. 18.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 5 : ? (a) 153 (b) 125 (c) 126 (d) 5
19. 19.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 54 sq cm (c) 20 sq cm (d) 40 sq cm
20. 20.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 22% (b) 10% (c) 5% (d) 15%
21. 21.Which is the greatest: 0.045, 0.2, 0.21, 0.114? (a) 0.045 (b) 0.2 (c) 0.21 (d) 0.114
22. 22.Every pair follows the same rule: 1 : 1, 4 : 64, 6 : 216. What is 5 : ? (a) 5 (b) 125 (c) 140 (d) 126
23. 23.What is the remainder when 131 is divided by 9? (a) 7 (b) 6 (c) 4 (d) 5
24. 24.Today is Friday. What day of the week will it be after 35 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
25. 25.If x/5 + 9 = 11, what is x? (a) 46 (b) 100 (c) 10 (d) 2
26. 26.In how many years will ₹4000 earn ₹320 simple interest at 2% per year? (a) 3 years (b) 8 years (c) 4 years (d) 5 years
27. 27.If 17 November is a Tuesday, what day of the week is 16 December? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
28. 28.What is the units digit of 3^40? (a) 9 (b) 7 (c) 1 (d) 3
29. 29.A teacher has 16 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 16 (c) 4 (d) 8
30. 30.If x/5 + 1 = 9, what is x? (a) 50 (b) 44 (c) 8 (d) 40
31. 31.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 52 cm (c) 32 cm (d) 64 cm
32. 32.A teacher has 10 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 6 (c) 1 (d) 10
33. 33.3/4 + 2/3 = ? (a) 3/2 (b) 5/7 (c) 17/12 (d) 4/3
34. 34.Which is the greatest: 0.26, 0.047, 0.2, 0.124? (a) 0.26 (b) 0.047 (c) 0.2 (d) 0.124
35. 35.If 8x + 6 = 78, what is x? (a) 72 (b) 9 (c) 10 (d) 8
36. 36.What is the units digit of 4^31? (a) 4 (b) 5 (c) 6 (d) 3
37. 37.What is the value of the digit 8 in 71.982? (a) 8 (b) 0.08 (c) 0.008 (d) 0.8
38. 38.Which fraction is greater: 3/4 or 1/3? (a) They are equal (b) 1/3 (c) 3/4
39. 39.What is the average of 73, 68, 75, 65 and 19? (a) 75 (b) 60 (c) 61 (d) 59
40. 40.Which is the smallest: 0.048, 0.41, 0.348, 0.4? (a) 0.048 (b) 0.41 (c) 0.348 (d) 0.4

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