Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 643 · 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.What is 5% of 880? (a) 836 (b) 44 (c) 440 (d) 88
2. 2.Which of these numbers is divisible by 11? (a) 3069 (b) 3071 (c) 3067 (d) 3085
3. 3.If 16 July is a Sunday, what day of the week is 5 August? (a) Sunday (b) Friday (c) Monday (d) Saturday
4. 4.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 119 sq cm (c) 102 sq cm (d) 46 sq cm
5. 5.A teacher has 24 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 6 (c) 84 (d) 12
6. 6.If 12 May is a Saturday, what day of the week is 3 June? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
7. 7.What is the units digit of 3^10? (a) 7 (b) 9 (c) 1 (d) 3
8. 8.If 2x + 16 = 40, what is x? (a) 28 (b) 24 (c) 12 (d) 13
9. 9.If x/5 + 1 = 6, what is x? (a) 25 (b) 5 (c) 35 (d) 29
10. 10.A shopkeeper buys a toy for ₹680 and sells it for ₹510. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
11. 11.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 28 cm (d) 14 cm
12. 12.Today is Monday. What day of the week will it be after 60 days? (a) Thursday (b) Saturday (c) Friday (d) Sunday
13. 13.A shopkeeper buys a toy for ₹820 and sells it for ₹1066. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 31%
14. 14.Every pair follows the same rule: 3 : 19, 5 : 21, 8 : 24. What is 4 : ? (a) 19 (b) 20 (c) 21 (d) 22
15. 15.₹9000 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹2880 (b) ₹9720 (c) ₹11880 (d) ₹12600
16. 16.Which of these numbers is divisible by 8? (a) 6236 (b) 6224 (c) 6229 (d) 6223
17. 17.If 3x + 1 = 2x + 5, what is x? (a) 3 (b) 4 (c) 5 (d) 6
18. 18.₹517 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹47 (b) ₹376 (c) ₹423 (d) ₹141
19. 19.The simple interest on ₹9000 for 3 years is ₹1890. What is the rate per year? (a) 7% (b) 21% (c) 8% (d) 6%
20. 20.A shopkeeper buys a toy for ₹880 and sells it for ₹704. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 21%
21. 21.Which of these numbers is divisible by 4? (a) 2197 (b) 2202 (c) 2205 (d) 2200
22. 22.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
23. 23.₹5000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹6000 (b) ₹5800 (c) ₹5200 (d) ₹800
24. 24.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 500 min (c) 45 min (d) 100 min
25. 25.Every pair follows the same rule: 2 : 10, 4 : 20, 8 : 40. What is 3 : ? (a) 11 (b) 16 (c) 15 (d) 14
26. 26.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 224 (b) 56 (c) 36 (d) 112
27. 27.If 2x − 21 = 9, what is x? (a) 15 (b) 16 (c) 30 (d) 14
28. 28.3.57 + 1.7 = ? (a) 5.17 (b) 3.74 (c) 5.37 (d) 5.27
29. 29.Two ribbons are 42 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 336 cm (b) 42 cm (c) 6 cm (d) 3 cm
30. 30.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 78 cm
31. 31.Which is the greatest: 0.38, 0.228, 0.059, 0.3? (a) 0.38 (b) 0.228 (c) 0.059 (d) 0.3
32. 32.Every pair follows the same rule: 3 : 6, 5 : 22, 8 : 61. What is 6 : ? (a) 12 (b) 35 (c) 9 (d) 33
33. 33.What is the average of all the whole numbers from 27 to 65? (a) 47 (b) 19 (c) 38 (d) 46
34. 34.Which fraction is greater: 2/9 or 1/7? (a) They are equal (b) 1/7 (c) 2/9
35. 35.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 34 sq cm (c) 52 sq cm (d) 17 sq cm
36. 36.₹1500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹1680 (b) ₹2220 (c) ₹2400 (d) ₹720
37. 37.If 1 March is a Monday, what day of the week is 12 March? (a) Thursday (b) Saturday (c) Sunday (d) Friday
38. 38.What is 10% of 260? (a) 260 (b) 52 (c) 234 (d) 26
39. 39.9.03 + 8.2 = ? (a) 9.85 (b) 17.13 (c) 17.33 (d) 17.23
40. 40.If 9x − 63 = 9, what is x? (a) 7 (b) 9 (c) 8 (d) 72

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