Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 117 · 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.If 6 pens cost ₹144, how much do 9 pens cost? (a) ₹1296 (b) ₹240 (c) ₹147 (d) ₹216
2. 2.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 11 (b) 31 (c) 12 (d) 67
3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
4. 4.If 9x + 10 = 8x + 16, what is x? (a) 8 (b) 7 (c) 6 (d) 26
5. 5.If 3x + 1 = 2x + 5, what is x? (a) 3 (b) 4 (c) 6 (d) 5
6. 6.What is the average of all the whole numbers from 42 to 52? (a) 5 (b) 47 (c) 48 (d) 10
7. 7.The simple interest on ₹3000 for 2 years is ₹480. What is the rate per year? (a) 9% (b) 8% (c) 16% (d) 7%
8. 8.What is 1/8 of 40? (a) 5 (b) 35 (c) 6 (d) 10
9. 9.If 15 May is a Wednesday, what day of the week is 30 May? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
10. 10.₹1000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹1540 (b) ₹450 (c) ₹1090 (d) ₹1450
11. 11.₹154 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹77 (b) ₹84 (c) ₹70 (d) ₹14
12. 12.What is the smallest number you must add to 221 to make it divisible by 3? (a) 2 (b) 1
13. 13.If 11 May is a Saturday, what day of the week is 25 May? (a) Sunday (b) Monday (c) Friday (d) Saturday
14. 14.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 90 (b) 21 (c) 60 (d) 30
15. 15.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 42 (c) 84 (d) 20
16. 16.₹21 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹7 (b) ₹15 (c) ₹21 (d) ₹14
17. 17.What is the value of the digit 5 in 58.361? (a) 0.05 (b) 0.5 (c) 50 (d) 5
18. 18.If 9x − 40 = 23, what is x? (a) 8 (b) 63 (c) 7 (d) 6
19. 19.What is 1/5 of 20? (a) 8 (b) 5 (c) 4 (d) 16
20. 20.What is the average of all the whole numbers from 32 to 56? (a) 24 (b) 45 (c) 12 (d) 44
21. 21.If 2x − 6 = 20, what is x? (a) 26 (b) 7 (c) 13 (d) 14
22. 22.If x/3 + 1 = 9, what is x? (a) 8 (b) 30 (c) 26 (d) 24
23. 23.If 11 March is a Sunday, what day of the week is 20 March? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
24. 24.A teacher has 10 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 2 (c) 1 (d) 10
25. 25.Every pair follows the same rule: 4 : 7, 5 : 9, 7 : 13. What is 3 : ? (a) 7 (b) 4 (c) 6 (d) 5
26. 26.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 62 (c) 30 (d) 36
27. 27.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 186 (b) 12 (c) 24 (d) 216
28. 28.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 11 cm (d) 18 cm
29. 29.Which of these numbers is divisible by 3? (a) 1355 (b) 1353 (c) 1351 (d) 1357
30. 30.What is the remainder when 813 is divided by 11? (a) 9 (b) 8 (c) 10 (d) 1
31. 31.What is the simple interest on ₹3000 at 3% per year for 5 years? (a) ₹90 (b) ₹540 (c) ₹450 (d) ₹3450
32. 32.What is the average of all the whole numbers from 6 to 42? (a) 36 (b) 25 (c) 24 (d) 18
33. 33.9.17 + 1.7 = ? (a) 10.97 (b) 10.87 (c) 9.34 (d) 10.77
34. 34.What is the smallest number you must add to 392 to make it divisible by 10? (a) 8 (b) 7 (c) 2 (d) 9
35. 35.Which is the greatest: 0.623, 0.071, 0.74, 0.7? (a) 0.623 (b) 0.071 (c) 0.74 (d) 0.7
36. 36.If 4 kites cost ₹88, how much do 5 kites cost? (a) ₹110 (b) ₹132 (c) ₹440 (d) ₹89
37. 37.Which is the greatest: 0.7, 0.611, 0.78, 0.038? (a) 0.7 (b) 0.611 (c) 0.78 (d) 0.038
38. 38.If 3x − 17 = 1, what is x? (a) 5 (b) 6 (c) 18 (d) 7
39. 39.A bag marked ₹200 is sold at a 50% discount. What is its selling price? (a) ₹101 (b) ₹100 (c) ₹300 (d) ₹150
40. 40.The simple interest on ₹5500 for 2 years is ₹220. What is the rate per year? (a) 4% (b) 3% (c) 1% (d) 2%

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