Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 820 · 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.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 54 cm (d) 15 cm
2. 2.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 32 sq cm (c) 16 sq cm (d) 55 sq cm
3. 3.Every pair follows the same rule: 2 : 4, 6 : 36, 7 : 49. What is 5 : ? (a) 25 (b) 10 (c) 23 (d) 7
4. 4.What is the average of 45, 32, 24 and 43? (a) 35 (b) 37 (c) 36 (d) 48
5. 5.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 150 (b) 750 (c) 300 (d) 55
6. 6.If 5x + 3 = 4x + 5, what is x? (a) 3 (b) 4 (c) 2 (d) 8
7. 7.If x/5 + 7 = 10, what is x? (a) 85 (b) 3 (c) 15 (d) 43
8. 8.What is 1/2 of 20? (a) 9 (b) 11 (c) 10 (d) 20
9. 9.What is 50% of 260? (a) 260 (b) 1300 (c) 131 (d) 130
10. 10.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 108 cm
11. 11.What is the simple interest on ₹9000 at 10% per year for 5 years? (a) ₹5400 (b) ₹13500 (c) ₹900 (d) ₹4500
12. 12.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 81 sq cm (d) 72 sq cm
13. 13.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 3 : ? (a) 28 (b) 27 (c) 3 (d) 26
14. 14.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 143 cm
15. 15.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 27 cm
16. 16.A bag marked ₹980 is sold at a 50% discount. What is its selling price? (a) ₹491 (b) ₹930 (c) ₹490 (d) ₹1470
17. 17.What is the remainder when 237 is divided by 4? (a) 1 (b) 0 (c) 3 (d) 2
18. 18.Which is the smallest: 0.6, 0.589, 0.075, 0.69? (a) 0.6 (b) 0.589 (c) 0.075 (d) 0.69
19. 19.Today is Sunday. What day of the week will it be after 15 days? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
20. 20.A bag marked ₹640 is sold at a 10% discount. What is its selling price? (a) ₹704 (b) ₹630 (c) ₹64 (d) ₹576
21. 21.Which of these numbers is divisible by 6? (a) 4974 (b) 4983 (c) 4973 (d) 4976
22. 22.Today is Sunday. What day of the week will it be after 32 days? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
23. 23.If 14 January is a Sunday, what day of the week is 24 January? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
24. 24.What is the average of 35, 42, 30, 41 and 67? (a) 45 (b) 42 (c) 43 (d) 44
25. 25.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 187 cm
26. 26.If 8x − 25 = 79, what is x? (a) 104 (b) 12 (c) 13 (d) 14
27. 27.₹6500 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹7280 (b) ₹6630 (c) ₹7150 (d) ₹650
28. 28.A shopkeeper buys a toy for ₹820 and sells it for ₹697. What is his loss percent? (a) 10% (b) 15% (c) 16% (d) 20%
29. 29.₹220 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹110 (b) ₹20 (c) ₹160 (d) ₹60
30. 30.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
31. 31.A teacher has 36 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 180 (c) 36 (d) 9
32. 32.If 7 March is a Monday, what day of the week is 16 March? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
33. 33.Which of these numbers is divisible by 8? (a) 1651 (b) 1661 (c) 1656 (d) 1665
34. 34.Which of these numbers is divisible by 9? (a) 2739 (b) 2728 (c) 2752 (d) 2736
35. 35.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 48 sq cm (d) 114 sq cm
36. 36.If 30 April is a Monday, what day of the week is 5 May? (a) Saturday (b) Friday (c) Sunday (d) Monday
37. 37.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 40 (b) 35 (c) 67 (d) 43
38. 38.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 200 sq cm (c) 29 sq cm (d) 58 sq cm
39. 39.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 6%
40. 40.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%

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