Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 950 · 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.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 4 : ? (a) 4 (b) 64 (c) 65 (d) 90
2. 2.Every pair follows the same rule: 4 : 8, 7 : 14, 9 : 18. What is 6 : ? (a) 10 (b) 13 (c) 11 (d) 12
3. 3.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 108 cm
4. 4.A teacher has 54 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 3 (c) 54 (d) 378
5. 5.If 2 kites cost ₹38, how much do 4 kites cost? (a) ₹40 (b) ₹152 (c) ₹76 (d) ₹95
6. 6.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 31 (b) 16 (c) 30 (d) 60
7. 7.Which of these numbers is divisible by 8? (a) 2862 (b) 2865 (c) 2864 (d) 2874
8. 8.What is the units digit of 4^16? (a) 4 (b) 5 (c) 7 (d) 6
9. 9.In how many years will ₹2000 earn ₹540 simple interest at 9% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
10. 10.What is 30% of 1000? (a) 600 (b) 700 (c) 300 (d) 3000
11. 11.A shopkeeper buys a toy for ₹320 and sells it for ₹272. What is his loss percent? (a) 10% (b) 48% (c) 20% (d) 15%
12. 12.The simple interest on ₹4000 for 4 years is ₹640. What is the rate per year? (a) 3% (b) 16% (c) 5% (d) 4%
13. 13.What is the simple interest on ₹2500 at 5% per year for 4 years? (a) ₹3000 (b) ₹500 (c) ₹125 (d) ₹625
14. 14.Every pair follows the same rule: 2 : 1, 4 : 13, 6 : 33. What is 3 : ? (a) 7 (b) 6 (c) 3 (d) 5
15. 15.3/8 + 2/3 = ? (a) 13/12 (b) 5/11 (c) 25/24 (d) 1
16. 16.What is the units digit of 4^47? (a) 3 (b) 5 (c) 4 (d) 6
17. 17.In how many years will ₹6500 earn ₹3250 simple interest at 10% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
18. 18.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 10 min (c) 12 min (d) 24 min
19. 19.₹8500 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹11305 (b) ₹9435 (c) ₹2805 (d) ₹12240
20. 20.What is 5% of 440? (a) 22 (b) 418 (c) 44 (d) 220
21. 21.A bag marked ₹580 is sold at a 40% discount. What is its selling price? (a) ₹232 (b) ₹812 (c) ₹540 (d) ₹348
22. 22.The simple interest on ₹4000 for 5 years is ₹800. What is the rate per year? (a) 20% (b) 5% (c) 4% (d) 3%
23. 23.What is the average of 27, 24, 49, 27, 37 and 46? (a) 35 (b) 42 (c) 36 (d) 34
24. 24.If 3 pens cost ₹72, how much do 5 pens cost? (a) ₹144 (b) ₹360 (c) ₹120 (d) ₹74
25. 25.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 28 cm (c) 14 cm (d) 24 cm
26. 26.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 12 cm (c) 22 cm (d) 11 cm
27. 27.If 7x + 4 = 88, what is x? (a) 11 (b) 84 (c) 12 (d) 13
28. 28.If x/2 + 9 = 20, what is x? (a) 58 (b) 11 (c) 22 (d) 31
29. 29.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 14 (b) 48 (c) 25 (d) 24
30. 30.What is the simple interest on ₹10000 at 3% per year for 5 years? (a) ₹11500 (b) ₹1500 (c) ₹1800 (d) ₹300
31. 31.A bag marked ₹1140 is sold at a 40% discount. What is its selling price? (a) ₹456 (b) ₹1596 (c) ₹684 (d) ₹1100
32. 32.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 6 (c) 1 (d) 3
33. 33.Which fraction is greater: 3/4 or 2/5? (a) 3/4 (b) 2/5 (c) They are equal
34. 34.Two ribbons are 30 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 30 cm (c) 5 cm (d) 10 cm
35. 35.If x/6 + 4 = 10, what is x? (a) 56 (b) 84 (c) 36 (d) 6
36. 36.What is the units digit of 4^31? (a) 6 (b) 4 (c) 5 (d) 3
37. 37.If 26 November is a Friday, what day of the week is 5 December? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
38. 38.If 27 April is a Friday, what day of the week is 11 May? (a) Thursday (b) Friday (c) Sunday (d) Saturday
39. 39.If 14 May is a Monday, what day of the week is 29 May? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
40. 40.What is the average of all the whole numbers from 40 to 72? (a) 16 (b) 57 (c) 56 (d) 32

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