Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 7 · 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 value of the digit 1 in 35.216? (a) 0.001 (b) 0.01 (c) 0.1 (d) 1
2. 2.1/7 + 1/5 = ? (a) 12/35 (b) 1/6 (c) 11/35 (d) 13/35
3. 3.Every pair follows the same rule: 5 : 25, 7 : 35, 9 : 45. What is 3 : ? (a) 14 (b) 23 (c) 16 (d) 15
4. 4.Every pair follows the same rule: 2 : 9, 5 : 12, 6 : 13. What is 7 : ? (a) 15 (b) 16 (c) 14 (d) 13
5. 5.A teacher has 36 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 12 (c) 6 (d) 144
6. 6.₹5500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹5720 (b) ₹5610 (c) ₹220 (d) ₹5830
7. 7.Every pair follows the same rule: 2 : 11, 7 : 56, 8 : 71. What is 9 : ? (a) 18 (b) 86 (c) 89 (d) 88
8. 8.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 47 cm (c) 28 cm (d) 171 cm
9. 9.If 5x + 19 = 89, what is x? (a) 70 (b) 15 (c) 14 (d) 13
10. 10.Which fraction is greater: 2/3 or 5/8? (a) They are equal (b) 2/3 (c) 5/8
11. 11.What is the remainder when 253 is divided by 4? (a) 3 (b) 0 (c) 2 (d) 1
12. 12.What is 3/7 of 35? (a) 16 (b) 20 (c) 15 (d) 5
13. 13.What is the smallest number you must add to 188 to make it divisible by 7? (a) 6 (b) 3 (c) 1 (d) 2
14. 14.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 38 sq cm (c) 19 sq cm (d) 84 sq cm
15. 15.Every pair follows the same rule: 2 : 6, 4 : 14, 6 : 22. What is 3 : ? (a) 7 (b) 11 (c) 9 (d) 10
16. 16.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 2 min (c) 18 min (d) 56 min
17. 17.If x/2 + 1 = 12, what is x? (a) 11 (b) 26 (c) 23 (d) 22
18. 18.What is the value of the digit 4 in 37.416? (a) 0.004 (b) 0.4 (c) 0.04 (d) 4
19. 19.A teacher has 15 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 12 (c) 3 (d) 15
20. 20.Every pair follows the same rule: 3 : 14, 4 : 21, 6 : 41. What is 2 : ? (a) 1 (b) 13 (c) 10 (d) 9
21. 21.₹2000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹2060 (b) ₹180 (c) ₹2180 (d) ₹2240
22. 22.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
23. 23.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 2 days (b) 11 days (c) 4 days (d) 3 days
24. 24.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 64 (b) 39 (c) 35 (d) 34
25. 25.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 11 cm (d) 10 cm
26. 26.What is the simple interest on ₹2500 at 4% per year for 2 years? (a) ₹100 (b) ₹200 (c) ₹300 (d) ₹2700
27. 27.If 14 May is a Tuesday, what day of the week is 23 May? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
28. 28.Every pair follows the same rule: 3 : 10, 4 : 12, 8 : 20. What is 5 : ? (a) 15 (b) 12 (c) 13 (d) 14
29. 29.A bag marked ₹740 is sold at a 40% discount. What is its selling price? (a) ₹700 (b) ₹444 (c) ₹296 (d) ₹1036
30. 30.What is 15% of 140? (a) 210 (b) 21 (c) 42 (d) 119
31. 31.₹315 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹35 (b) ₹70 (c) ₹280 (d) ₹245
32. 32.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 32 cm (d) 96 cm
33. 33.What is 1/6 of 18? (a) 15 (b) 6 (c) 3 (d) 4
34. 34.What is the units digit of 7^44? (a) 7 (b) 1 (c) 9 (d) 3
35. 35.What is the average of 54, 45, 57, 35 and 34? (a) 47 (b) 45 (c) 46 (d) 44
36. 36.What is the simple interest on ₹7500 at 4% per year for 2 years? (a) ₹600 (b) ₹300 (c) ₹900 (d) ₹8100
37. 37.The simple interest on ₹9500 for 4 years is ₹1520. What is the rate per year? (a) 16% (b) 3% (c) 5% (d) 4%
38. 38.If 3 July is a Tuesday, what day of the week is 13 July? (a) Saturday (b) Thursday (c) Friday (d) Sunday
39. 39.Which of these numbers is divisible by 3? (a) 1265 (b) 1261 (c) 1260 (d) 1258
40. 40.What is 3/7 of 21? (a) 10 (b) 3 (c) 12 (d) 9

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