Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 353 · 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 the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 112 (b) 22 (c) 57 (d) 56
2. 2.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 9 cm (d) 8 cm
3. 3.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
4. 4.If x/2 + 9 = 21, what is x? (a) 33 (b) 24 (c) 12 (d) 60
5. 5.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 6 : ? (a) 6 (b) 217 (c) 84 (d) 216
6. 6.A shopkeeper buys a toy for ₹300 and sells it for ₹345. What is his profit percent? (a) 10% (b) 15% (c) 45% (d) 20%
7. 7.In how many years will ₹5000 earn ₹500 simple interest at 2% per year? (a) 4 years (b) 6 years (c) 10 years (d) 5 years
8. 8.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 63 sq cm (d) 16 sq cm
9. 9.A bag marked ₹220 is sold at a 25% discount. What is its selling price? (a) ₹55 (b) ₹165 (c) ₹195 (d) ₹275
10. 10.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 64 (c) 61 (d) 109
11. 11.A bag marked ₹1240 is sold at a 30% discount. What is its selling price? (a) ₹1210 (b) ₹868 (c) ₹372 (d) ₹1612
12. 12.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 117 cm
13. 13.Which of these numbers is divisible by 4? (a) 2847 (b) 2843 (c) 2839 (d) 2840
14. 14.4/9 + 1/2 = ? (a) 5/11 (b) 8/9 (c) 17/18 (d) 1
15. 15.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 42 sq cm (c) 21 sq cm (d) 85 sq cm
16. 16.Every pair follows the same rule: 4 : 16, 6 : 36, 9 : 81. What is 5 : ? (a) 25 (b) 21 (c) 20 (d) 17
17. 17.1.78 + 7.6 = ? (a) 9.28 (b) 9.38 (c) 9.48 (d) 2.54
18. 18.What is the average of 44, 29, 36, 49, 29 and 17? (a) 35 (b) 34 (c) 33 (d) 36
19. 19.If 7 pens cost ₹105, how much do 5 pens cost? (a) ₹75 (b) ₹90 (c) ₹525 (d) ₹103
20. 20.A bag marked ₹460 is sold at a 15% discount. What is its selling price? (a) ₹445 (b) ₹529 (c) ₹391 (d) ₹69
21. 21.If 4x − 24 = 8, what is x? (a) 7 (b) 32 (c) 9 (d) 8
22. 22.A bag marked ₹1440 is sold at a 50% discount. What is its selling price? (a) ₹720 (b) ₹721 (c) ₹2160 (d) ₹1390
23. 23.What is the simple interest on ₹1000 at 6% per year for 2 years? (a) ₹180 (b) ₹120 (c) ₹60 (d) ₹1120
24. 24.What is 2/9 of 99? (a) 22 (b) 77 (c) 11 (d) 33
25. 25.Every pair follows the same rule: 2 : 16, 4 : 32, 8 : 64. What is 7 : ? (a) 56 (b) 55 (c) 57 (d) 21
26. 26.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) 10 min (b) 12 min (c) 24 min (d) 2 min
27. 27.3.55 + 6.6 = ? (a) 10.25 (b) 10.15 (c) 10.05 (d) 4.21
28. 28.What is the simple interest on ₹9500 at 7% per year for 5 years? (a) ₹665 (b) ₹3990 (c) ₹12825 (d) ₹3325
29. 29.A teacher has 12 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 3 (c) 6 (d) 36
30. 30.If x/2 + 1 = 9, what is x? (a) 17 (b) 20 (c) 16 (d) 8
31. 31.What is the value of the digit 4 in 24.568? (a) 40 (b) 0.4 (c) 4 (d) 0.04
32. 32.Which of these numbers is divisible by 9? (a) 6719 (b) 6705 (c) 6697 (d) 6707
33. 33.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 66%
34. 34.1/2 + 5/9 = ? (a) 10/9 (b) 1 (c) 6/11 (d) 19/18
35. 35.Which of these numbers is divisible by 4? (a) 314 (b) 318 (c) 316 (d) 323
36. 36.Which of these numbers is divisible by 9? (a) 629 (b) 640 (c) 636 (d) 630
37. 37.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 21 cm (b) 104 cm (c) 34 cm (d) 42 cm
38. 38.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 15 min (c) 3 min (d) 18 min
39. 39.If 13 October is a Sunday, what day of the week is 23 October? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
40. 40.What is 1/3 of 12? (a) 4 (b) 8 (c) 3 (d) 5

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