Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 112 · 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 bag marked ₹1760 is sold at a 40% discount. What is its selling price? (a) ₹1720 (b) ₹2464 (c) ₹704 (d) ₹1056
2. 2.Which is the smallest: 0.4, 0.046, 0.335, 0.49? (a) 0.4 (b) 0.046 (c) 0.335 (d) 0.49
3. 3.Every pair follows the same rule: 2 : 11, 5 : 32, 6 : 43. What is 4 : ? (a) 23 (b) 21 (c) 24 (d) 13
4. 4.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 18 cm
5. 5.Every pair follows the same rule: 2 : 20, 4 : 22, 5 : 23. What is 6 : ? (a) 23 (b) 60 (c) 25 (d) 24
6. 6.If 4x + 19 = 3x + 23, what is x? (a) 4 (b) 6 (c) 5 (d) 42
7. 7.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 24 cm (d) 12 cm
8. 8.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 4 (b) 32 (c) 63 (d) 35
9. 9.What is 1/3 of 6? (a) 4 (b) 1 (c) 2 (d) 3
10. 10.What is the average of 71, 63, 58, 50 and 83? (a) 64 (b) 66 (c) 67 (d) 65
11. 11.₹54 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹6 (b) ₹24 (c) ₹30 (d) ₹27
12. 12.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 26 cm (c) 17 cm (d) 34 cm
13. 13.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 560 min (b) 4 min (c) 48 min (d) 140 min
14. 14.What is the simple interest on ₹3500 at 6% per year for 3 years? (a) ₹630 (b) ₹4130 (c) ₹210 (d) ₹840
15. 15.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 42%
16. 16.A teacher has 10 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 8 (c) 1 (d) 2
17. 17.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm
18. 18.A shopkeeper buys a toy for ₹280 and sells it for ₹350. What is his profit percent? (a) 70% (b) 30% (c) 20% (d) 25%
19. 19.What is the average of all the whole numbers from 23 to 55? (a) 32 (b) 39 (c) 16 (d) 40
20. 20.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 100 (b) 35 (c) 50 (d) 250
21. 21.Every pair follows the same rule: 5 : 22, 6 : 25, 8 : 31. What is 2 : ? (a) 13 (b) 14 (c) 12 (d) 19
22. 22.What is 2/9 of 45? (a) 5 (b) 35 (c) 15 (d) 10
23. 23.A bag marked ₹1600 is sold at a 50% discount. What is its selling price? (a) ₹801 (b) ₹2400 (c) ₹800 (d) ₹1550
24. 24.Every pair follows the same rule: 2 : 8, 5 : 11, 8 : 14. What is 6 : ? (a) 12 (b) 11 (c) 24 (d) 13
25. 25.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 2 min (c) 30 min (d) 16 min
26. 26.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 54 sq cm (d) 27 sq cm
27. 27.If 19 September is a Tuesday, what day of the week is 14 October? (a) Saturday (b) Friday (c) Sunday (d) Monday
28. 28.If 5x − 23 = 17, what is x? (a) 7 (b) 40 (c) 9 (d) 8
29. 29.Which of these numbers is divisible by 4? (a) 261 (b) 266 (c) 258 (d) 260
30. 30.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 221 sq cm (c) 204 sq cm (d) 58 sq cm
31. 31.A shopkeeper buys a toy for ₹680 and sells it for ₹646. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 34%
32. 32.Which is the greatest: 0.051, 0.424, 0.5, 0.54? (a) 0.051 (b) 0.424 (c) 0.5 (d) 0.54
33. 33.Every pair follows the same rule: 5 : 22, 6 : 33, 8 : 61. What is 2 : ? (a) 3 (b) 2 (c) 19 (d) 1
34. 34.Two ribbons are 72 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 12 cm (c) 72 cm (d) 504 cm
35. 35.If 4x − 9 = 11, what is x? (a) 5 (b) 4 (c) 6 (d) 20
36. 36.A bag marked ₹1760 is sold at a 10% discount. What is its selling price? (a) ₹1936 (b) ₹1584 (c) ₹1750 (d) ₹176
37. 37.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 9 sq cm (d) 18 sq cm
38. 38.What is the simple interest on ₹8000 at 6% per year for 2 years? (a) ₹480 (b) ₹1440 (c) ₹8960 (d) ₹960
39. 39.What is the units digit of 8^49? (a) 6 (b) 4 (c) 2 (d) 8
40. 40.Which is the greatest: 0.5, 0.55, 0.066, 0.461? (a) 0.5 (b) 0.55 (c) 0.066 (d) 0.461

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