Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 599 · 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 has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 11 cm (c) 12 cm (d) 22 cm
2. 2.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 240 min (b) 60 min (c) 32 min (d) 4 min
3. 3.A teacher has 15 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 10 (c) 15 (d) 5
4. 4.₹8500 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹12240 (b) ₹11305 (c) ₹9435 (d) ₹2805
5. 5.What is the smallest number you must add to 94 to make it divisible by 5? (a) 4 (b) 3 (c) 1 (d) 2
6. 6.Two ribbons are 25 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 1 cm (c) 5 cm (d) 25 cm
7. 7.What is the simple interest on ₹8000 at 2% per year for 5 years? (a) ₹8800 (b) ₹800 (c) ₹160 (d) ₹960
8. 8.A teacher has 24 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 216 (b) 1 (c) 3 (d) 24
9. 9.What is 50% of 940? (a) 940 (b) 471 (c) 470 (d) 4700
10. 10.If 7 notebooks cost ₹175, how much do 12 notebooks cost? (a) ₹2100 (b) ₹325 (c) ₹300 (d) ₹180
11. 11.What is the value of the digit 8 in 67.849? (a) 0.08 (b) 8 (c) 0.008 (d) 0.8
12. 12.If 4x + 9 = x + 27, what is x? (a) 8 (b) 7 (c) 12 (d) 6
13. 13.If 2x + 29 = 37, what is x? (a) 5 (b) 33 (c) 8 (d) 4
14. 14.If 11 March is a Monday, what day of the week is 8 April? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
15. 15.₹182 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹13 (b) ₹117 (c) ₹91 (d) ₹65
16. 16.In how many years will ₹5500 earn ₹330 simple interest at 3% per year? (a) 3 years (b) 1 year (c) 4 years (d) 2 years
17. 17.₹4500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹6300 (b) ₹1800 (c) ₹6750 (d) ₹4950
18. 18.What is the average of 85, 80, 69, 67 and 94? (a) 81 (b) 80 (c) 78 (d) 79
19. 19.If 5 mangoes cost ₹15, how much do 3 mangoes cost? (a) ₹13 (b) ₹45 (c) ₹9 (d) ₹12
20. 20.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 93 (c) 64 (d) 20
21. 21.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 150 (c) 60 (d) 30
22. 22.If 5x − 37 = 28, what is x? (a) 13 (b) 65 (c) 14 (d) 12
23. 23.What is the units digit of 9^10? (a) 9 (b) 0 (c) 2 (d) 1
24. 24.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 12 cm (d) 22 cm
25. 25.If 9 August is a Wednesday, what day of the week is 22 August? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
26. 26.If 9x − 27 = 36, what is x? (a) 8 (b) 63 (c) 7 (d) 1
27. 27.What is 30% of 700? (a) 490 (b) 420 (c) 210 (d) 2100
28. 28.What is 1/5 of 10? (a) 8 (b) 2 (c) 3 (d) 4
29. 29.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 32%
30. 30.A bag marked ₹1880 is sold at a 25% discount. What is its selling price? (a) ₹470 (b) ₹2350 (c) ₹1855 (d) ₹1410
31. 31.₹168 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹84 (b) ₹147 (c) ₹168 (d) ₹21
32. 32.If x/5 + 7 = 9, what is x? (a) 38 (b) 2 (c) 80 (d) 10
33. 33.Which of these numbers is divisible by 4? (a) 1781 (b) 1785 (c) 1789 (d) 1784
34. 34.Today is Thursday. What day of the week will it be after 26 days? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
35. 35.What is the smallest number you must add to 551 to make it divisible by 11? (a) 8 (b) 9 (c) 10 (d) 1
36. 36.Every pair follows the same rule: 3 : 16, 5 : 18, 7 : 20. What is 6 : ? (a) 20 (b) 21 (c) 18 (d) 19
37. 37.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 2 : ? (a) 26 (b) 18 (c) 9 (d) 8
38. 38.1/3 + 3/4 = ? (a) 1 (b) 7/6 (c) 13/12 (d) 4/7
39. 39.What is 3/4 of 28? (a) 7 (b) 28 (c) 22 (d) 21
40. 40.What is the average of all the whole numbers from 35 to 67? (a) 16 (b) 52 (c) 51 (d) 32

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