Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 900 · 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 5% of 320? (a) 16 (b) 304 (c) 32 (d) 160
2. 2.If 6x + 2 = x + 17, what is x? (a) 3 (b) 2 (c) 5 (d) 4
3. 3.What is 1/2 of 12? (a) 12 (b) 5 (c) 7 (d) 6
4. 4.If 10 August is a Sunday, what day of the week is 23 August? (a) Monday (b) Friday (c) Sunday (d) Saturday
5. 5.What is the value of the digit 9 in 93.784? (a) 0.09 (b) 0.9 (c) 90 (d) 9
6. 6.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 2 cm (c) 3 cm (d) 4 cm
7. 7.What is 1/2 of 10? (a) 5 (b) 4 (c) 6 (d) 10
8. 8.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 10% (b) 15% (c) 21% (d) 20%
9. 9.₹8500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹3400 (b) ₹12750 (c) ₹9350 (d) ₹11900
10. 10.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 93 (c) 61 (d) 40
11. 11.What is the average of all the whole numbers from 45 to 63? (a) 18 (b) 54 (c) 9 (d) 55
12. 12.What is 60% of 560? (a) 224 (b) 336 (c) 672 (d) 3360
13. 13.What is the simple interest on ₹6500 at 7% per year for 2 years? (a) ₹1365 (b) ₹7410 (c) ₹455 (d) ₹910
14. 14.Which is the greatest: 0.024, 0.8, 0.86, 0.737? (a) 0.024 (b) 0.8 (c) 0.86 (d) 0.737
15. 15.Which of these numbers is divisible by 6? (a) 1662 (b) 1658 (c) 1670 (d) 1664
16. 16.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
17. 17.Two ribbons are 12 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 4 cm (c) 12 cm (d) 2 cm
18. 18.What is the average of 27, 36, 31 and 38? (a) 33 (b) 44 (c) 32 (d) 34
19. 19.A bag marked ₹660 is sold at a 50% discount. What is its selling price? (a) ₹331 (b) ₹330 (c) ₹610 (d) ₹990
20. 20.₹6000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹1200 (b) ₹7440 (c) ₹6240 (d) ₹7200
21. 21.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
22. 22.Today is Thursday. What day of the week will it be after 31 days? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
23. 23.Which is the greatest: 0.245, 0.37, 0.052, 0.3? (a) 0.245 (b) 0.37 (c) 0.052 (d) 0.3
24. 24.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 11 days (c) 22 days (d) 3 days
25. 25.What is the average of 42, 46, 40, 42, 41 and 23? (a) 38 (b) 41 (c) 40 (d) 39
26. 26.What is the units digit of 2^24? (a) 8 (b) 4 (c) 2 (d) 6
27. 27.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 35 (b) 300 (c) 60 (d) 120
28. 28.Which of these numbers is divisible by 8? (a) 1145 (b) 1164 (c) 1152 (d) 1155
29. 29.What is the smallest number you must add to 174 to make it divisible by 8? (a) 6 (b) 1 (c) 3 (d) 2
30. 30.Which is the smallest: 0.524, 0.6, 0.076, 0.69? (a) 0.524 (b) 0.6 (c) 0.076 (d) 0.69
31. 31.What is the average of 59, 47, 49 and 57? (a) 53 (b) 54 (c) 55 (d) 52
32. 32.A shopkeeper buys a toy for ₹960 and sells it for ₹672. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
33. 33.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
34. 34.If 26 March is a Saturday, what day of the week is 20 April? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
35. 35.What is the remainder when 326 is divided by 11? (a) 7 (b) 4 (c) 8 (d) 6
36. 36.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 14 days (c) 15 days (d) 13 days
37. 37.If 26 October is a Sunday, what day of the week is 9 November? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
38. 38.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 6 : ? (a) 24 (b) 138 (c) 12 (d) 216
39. 39.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 21 sq cm (c) 96 sq cm (d) 42 sq cm
40. 40.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 6 cm (c) 3 cm (d) 4 cm

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