Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 39 · 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 teacher has 30 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 1 (c) 210 (d) 30
2. 2.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 16%
3. 3.₹231 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹33 (b) ₹198 (c) ₹231 (d) ₹199
4. 4.₹451 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹246 (b) ₹287 (c) ₹41 (d) ₹205
5. 5.If 4 January is a Wednesday, what day of the week is 12 January? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
6. 6.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 5 cm (d) 4 cm
7. 7.Which is the greatest: 0.722, 0.8, 0.045, 0.87? (a) 0.722 (b) 0.8 (c) 0.045 (d) 0.87
8. 8.Every pair follows the same rule: 2 : 10, 3 : 11, 4 : 12. What is 6 : ? (a) 13 (b) 15 (c) 14 (d) 30
9. 9.A bag marked ₹200 is sold at a 15% discount. What is its selling price? (a) ₹185 (b) ₹170 (c) ₹30 (d) ₹230
10. 10.What is the smallest number you must add to 523 to make it divisible by 8? (a) 6 (b) 5 (c) 3 (d) 4
11. 11.Which is the greatest: 0.424, 0.028, 0.58, 0.5? (a) 0.424 (b) 0.028 (c) 0.58 (d) 0.5
12. 12.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
13. 13.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 9 cm (c) 10 cm (d) 18 cm
14. 14.What is the average of 48, 48, 53 and 19? (a) 42 (b) 41 (c) 43 (d) 56
15. 15.A teacher has 8 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 28 (c) 4 (d) 8
16. 16.If 6 mangoes cost ₹84, how much do 5 mangoes cost? (a) ₹84 (b) ₹420 (c) ₹70 (d) ₹83
17. 17.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 44 cm (c) 114 cm (d) 25 cm
18. 18.If 7 pens cost ₹35, how much do 4 pens cost? (a) ₹140 (b) ₹20 (c) ₹25 (d) ₹32
19. 19.What is 1/3 of 27? (a) 10 (b) 18 (c) 9 (d) 8
20. 20.What is the value of the digit 9 in 18.924? (a) 0.9 (b) 0.09 (c) 0.009 (d) 9
21. 21.Every pair follows the same rule: 4 : 28, 5 : 35, 8 : 56. What is 3 : ? (a) 22 (b) 20 (c) 21 (d) 27
22. 22.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 59 (c) 45 (d) 28
23. 23.Which fraction is greater: 7/11 or 2/7? (a) 2/7 (b) They are equal (c) 7/11
24. 24.₹8000 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹10640 (b) ₹8880 (c) ₹1760 (d) ₹9760
25. 25.Every pair follows the same rule: 4 : 8, 5 : 10, 7 : 14. What is 8 : ? (a) 15 (b) 12 (c) 17 (d) 16
26. 26.If 15 September is a Monday, what day of the week is 7 October? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
27. 27.What is 40% of 180? (a) 72 (b) 108 (c) 144 (d) 720
28. 28.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 12 cm (c) 13 cm (d) 24 cm
29. 29.The simple interest on ₹7000 for 3 years is ₹1260. What is the rate per year? (a) 18% (b) 6% (c) 7% (d) 5%
30. 30.What is the average of all the whole numbers from 40 to 48? (a) 4 (b) 8 (c) 45 (d) 44
31. 31.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 133 cm (c) 8 cm (d) 9 cm
32. 32.What is the value of the digit 8 in 98.145? (a) 8 (b) 80 (c) 0.8 (d) 0.08
33. 33.What is 2/7 of 28? (a) 12 (b) 8 (c) 4 (d) 20
34. 34.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 73 (c) 5 (d) 37
35. 35.What is the average of all the whole numbers from 60 to 82? (a) 11 (b) 72 (c) 71 (d) 22
36. 36.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 40 cm
37. 37.What is the smallest number you must add to 509 to make it divisible by 8? (a) 3 (b) 4 (c) 2 (d) 5
38. 38.A teacher has 18 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 3 (c) 18 (d) 6
39. 39.Every pair follows the same rule: 3 : 27, 4 : 36, 6 : 54. What is 9 : ? (a) 82 (b) 33 (c) 81 (d) 80
40. 40.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 8 cm (c) 120 cm (d) 14 cm

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