Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 576 · 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. 1.4.99 + 3.1 = ? (a) 7.99 (b) 5.3 (c) 8.19 (d) 8.09
2. 2.A bag marked ₹560 is sold at a 30% discount. What is its selling price? (a) ₹530 (b) ₹728 (c) ₹168 (d) ₹392
3. 3.If 8 pens cost ₹200, how much do 3 pens cost? (a) ₹75 (b) ₹100 (c) ₹600 (d) ₹195
4. 4.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) 8 (c) 4 (d) 20
5. 5.Which is the greatest: 0.24, 0.091, 0.2, 0.184? (a) 0.24 (b) 0.091 (c) 0.2 (d) 0.184
6. 6.Every pair follows the same rule: 2 : 12, 3 : 13, 4 : 14. What is 9 : ? (a) 20 (b) 54 (c) 18 (d) 19
7. 7.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 112 cm
8. 8.What is the average of all the whole numbers from 39 to 75? (a) 58 (b) 57 (c) 18 (d) 36
9. 9.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
10. 10.1/3 + 1/5 = ? (a) 1/4 (b) 7/15 (c) 8/15 (d) 3/5
11. 11.If x/3 + 11 = 20, what is x? (a) 93 (b) 27 (c) 49 (d) 9
12. 12.What is the simple interest on ₹3500 at 6% per year for 2 years? (a) ₹3920 (b) ₹630 (c) ₹420 (d) ₹210
13. 13.A teacher has 12 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 42 (c) 3 (d) 6
14. 14.9.55 + 1.6 = ? (a) 11.15 (b) 11.05 (c) 9.71 (d) 11.25
15. 15.If 8x + 6 = 2x + 60, what is x? (a) 11 (b) 8 (c) 10 (d) 9
16. 16.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 47 (b) 35 (c) 68 (d) 14
17. 17.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 70 cm (c) 6 cm (d) 12 cm
18. 18.Today is Tuesday. What day of the week will it be after 72 days? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
19. 19.What is the simple interest on ₹1000 at 2% per year for 5 years? (a) ₹1100 (b) ₹20 (c) ₹100 (d) ₹120
20. 20.₹588 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹294 (b) ₹210 (c) ₹42 (d) ₹378
21. 21.Which of these numbers is divisible by 6? (a) 2782 (b) 2788 (c) 2778 (d) 2776
22. 22.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 11 sq cm (d) 32 sq cm
23. 23.If 14 January is a Friday, what day of the week is 24 January? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
24. 24.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 48 (b) 28 (c) 96 (d) 192
25. 25.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 50%
26. 26.Every pair follows the same rule: 3 : 12, 5 : 16, 7 : 20. What is 8 : ? (a) 23 (b) 17 (c) 22 (d) 32
27. 27.If 3x + 2 = 14, what is x? (a) 12 (b) 4 (c) 5 (d) 3
28. 28.What is 40% of 960? (a) 576 (b) 3840 (c) 768 (d) 384
29. 29.If x/2 + 9 = 19, what is x? (a) 20 (b) 10 (c) 56 (d) 29
30. 30.A shopkeeper buys a toy for ₹980 and sells it for ₹1225. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
31. 31.What is the simple interest on ₹2000 at 9% per year for 2 years? (a) ₹2360 (b) ₹180 (c) ₹360 (d) ₹540
32. 32.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 22 days (b) 9 days (c) 15 days (d) 21 days
33. 33.If 6 August is a Wednesday, what day of the week is 21 August? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
34. 34.What is the average of 26, 45, 21 and 48? (a) 36 (b) 34 (c) 35 (d) 37
35. 35.What is the average of all the whole numbers from 17 to 39? (a) 29 (b) 11 (c) 28 (d) 22
36. 36.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 74 (c) 20 (d) 64
37. 37.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
38. 38.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 11 cm (d) 20 cm
39. 39.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 204 sq cm (d) 187 sq cm
40. 40.What is the value of the digit 3 in 36.415? (a) 0.3 (b) 0.03 (c) 3 (d) 30

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