Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 144 · 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.Every pair follows the same rule: 3 : 18, 4 : 25, 6 : 45. What is 9 : ? (a) 24 (b) 75 (c) 54 (d) 90
2. 2.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
3. 3.If 4x − 1 = 11, what is x? (a) 4 (b) 2 (c) 3 (d) 12
4. 4.If 7x + 17 = x + 59, what is x? (a) 8 (b) 6 (c) 7 (d) 9
5. 5.Two ribbons are 22 cm and 33 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 66 cm (b) 11 cm (c) 22 cm (d) 1 cm
6. 6.What is 5% of 1000? (a) 950 (b) 100 (c) 50 (d) 500
7. 7.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 68 sq cm (c) 42 sq cm (d) 85 sq cm
8. 8.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 7 cm (c) 72 cm (d) 8 cm
9. 9.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 12 (b) 76 (c) 49 (d) 39
10. 10.6.84 + 7.7 = ? (a) 14.64 (b) 7.61 (c) 14.44 (d) 14.54
11. 11.What is the average of 37, 23, 37 and 55? (a) 39 (b) 37 (c) 40 (d) 38
12. 12.5.59 + 7.5 = ? (a) 6.34 (b) 13.09 (c) 13.19 (d) 12.99
13. 13.The simple interest on ₹9500 for 2 years is ₹1140. What is the rate per year? (a) 12% (b) 6% (c) 7% (d) 5%
14. 14.If 2x + 27 = 57, what is x? (a) 16 (b) 30 (c) 15 (d) 42
15. 15.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 41 (b) 58 (c) 23 (d) 40
16. 16.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
17. 17.If 5x + 11 = x + 55, what is x? (a) 13 (b) 12 (c) 10 (d) 11
18. 18.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 66 sq cm (d) 34 sq cm
19. 19.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 84 min (c) 252 min (d) 33 min
20. 20.What is the value of the digit 2 in 28.947? (a) 0.2 (b) 2 (c) 20 (d) 0.02
21. 21.What is 75% of 300? (a) 450 (b) 75 (c) 2250 (d) 225
22. 22.What is the smallest number you must add to 291 to make it divisible by 6? (a) 2 (b) 4 (c) 3 (d) 5
23. 23.Which fraction is greater: 1/4 or 5/6? (a) They are equal (b) 1/4 (c) 5/6
24. 24.Which fraction is greater: 2/9 or 2/3? (a) 2/9 (b) They are equal (c) 2/3
25. 25.Today is Saturday. What day of the week will it be after 75 days? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
26. 26.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 70 (b) 140 (c) 45 (d) 350
27. 27.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 40 cm (c) 20 cm (d) 31 cm
28. 28.If 13 October is a Friday, what day of the week is 24 October? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
29. 29.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 143 sq cm (d) 48 sq cm
30. 30.If 8 mangoes cost ₹168, how much do 2 mangoes cost? (a) ₹63 (b) ₹336 (c) ₹162 (d) ₹42
31. 31.What is the value of the digit 4 in 89.241? (a) 0.04 (b) 4 (c) 0.004 (d) 0.4
32. 32.In how many years will ₹3000 earn ₹300 simple interest at 2% per year? (a) 10 years (b) 6 years (c) 5 years (d) 4 years
33. 33.What is 2/3 of 24? (a) 8 (b) 17 (c) 24 (d) 16
34. 34.₹1000 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹1360 (b) ₹360 (c) ₹1090 (d) ₹1450
35. 35.₹88 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹64 (b) ₹8 (c) ₹44 (d) ₹24
36. 36.What is the smallest number you must add to 481 to make it divisible by 10? (a) 8 (b) 9 (c) 1 (d) 7
37. 37.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 154 cm
38. 38.What is the simple interest on ₹4000 at 8% per year for 2 years? (a) ₹320 (b) ₹640 (c) ₹960 (d) ₹4640
39. 39.What is 1/2 of 16? (a) 9 (b) 8 (c) 7 (d) 16
40. 40.A teacher has 16 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 4 (c) 16 (d) 2

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