Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 918 · 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 7x + 6 = 6x + 13, what is x? (a) 8 (b) 9 (c) 19 (d) 7
2. 2.What is the average of 95, 87, 73 and 65? (a) 80 (b) 81 (c) 79 (d) 82
3. 3.A teacher has 42 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 7 (c) 294 (d) 42
4. 4.What is the value of the digit 5 in 96.175? (a) 0.05 (b) 0.5 (c) 5 (d) 0.005
5. 5.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 7 days (d) 8 days
6. 6.Today is Tuesday. What day of the week will it be after 78 days? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
7. 7.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 104 sq cm (d) 21 sq cm
8. 8.In how many years will ₹2000 earn ₹480 simple interest at 12% per year? (a) 2 years (b) 1 year (c) 3 years (d) 4 years
9. 9.If 18 March is a Thursday, what day of the week is 20 April? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
10. 10.Every pair follows the same rule: 7 : 27, 8 : 32, 9 : 37. What is 6 : ? (a) 22 (b) 21 (c) 23 (d) 26
11. 11.Every pair follows the same rule: 3 : 9, 7 : 49, 9 : 81. What is 2 : ? (a) 5 (b) 4 (c) 6 (d) 8
12. 12.Every pair follows the same rule: 3 : 9, 6 : 12, 9 : 15. What is 8 : ? (a) 14 (b) 15 (c) 13 (d) 24
13. 13.Which of these numbers is divisible by 4? (a) 2468 (b) 2469 (c) 2466 (d) 2474
14. 14.Which fraction is greater: 1/7 or 7/10? (a) They are equal (b) 1/7 (c) 7/10
15. 15.If 23 January is a Friday, what day of the week is 19 February? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
16. 16.What is the smallest number you must add to 152 to make it divisible by 10? (a) 7 (b) 2 (c) 9 (d) 8
17. 17.Two ribbons are 36 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 144 cm (b) 12 cm (c) 36 cm (d) 6 cm
18. 18.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 4 cm (c) 57 cm (d) 8 cm
19. 19.What is the average of all the whole numbers from 53 to 69? (a) 61 (b) 62 (c) 8 (d) 16
20. 20.What is the simple interest on ₹5500 at 10% per year for 3 years? (a) ₹7150 (b) ₹550 (c) ₹1650 (d) ₹2200
21. 21.Which fraction is greater: 2/3 or 1/11? (a) They are equal (b) 1/11 (c) 2/3
22. 22.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 15% (b) 24% (c) 5% (d) 10%
23. 23.If 5 kites cost ₹50, how much do 2 kites cost? (a) ₹20 (b) ₹30 (c) ₹47 (d) ₹100
24. 24.What is the simple interest on ₹2500 at 12% per year for 3 years? (a) ₹900 (b) ₹300 (c) ₹1200 (d) ₹3400
25. 25.What is 5% of 460? (a) 437 (b) 46 (c) 23 (d) 230
26. 26.What is the simple interest on ₹3500 at 4% per year for 2 years? (a) ₹280 (b) ₹140 (c) ₹3780 (d) ₹420
27. 27.If 2 kites cost ₹50, how much do 3 kites cost? (a) ₹100 (b) ₹51 (c) ₹75 (d) ₹150
28. 28.Which fraction is greater: 1/4 or 1/11? (a) They are equal (b) 1/4 (c) 1/11
29. 29.What is the smallest number you must add to 34 to make it divisible by 3? (a) 1 (b) 2
30. 30.What is the remainder when 109 is divided by 8? (a) 4 (b) 6 (c) 5 (d) 3
31. 31.If 4x − 6 = 34, what is x? (a) 11 (b) 10 (c) 7 (d) 40
32. 32.What is the units digit of 8^10? (a) 4 (b) 2 (c) 6 (d) 8
33. 33.₹6500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹585 (b) ₹7085 (c) ₹7280 (d) ₹6695
34. 34.₹3000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹4200 (b) ₹3900 (c) ₹900 (d) ₹3300
35. 35.Two ribbons are 50 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 50 cm (b) 10 cm (c) 30 cm (d) 5 cm
36. 36.What is the value of the digit 6 in 76.483? (a) 6 (b) 0.06 (c) 0.6 (d) 60
37. 37.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 30 cm (c) 15 cm (d) 27 cm
38. 38.What is the smallest number you must add to 475 to make it divisible by 8? (a) 6 (b) 3 (c) 5 (d) 4
39. 39.Two ribbons are 4 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 6 cm (c) 1 cm (d) 2 cm
40. 40.₹308 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹44 (b) ₹220 (c) ₹88 (d) ₹154

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