Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 728 · 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 + 12 = x + 60, what is x? (a) 12 (b) 8 (c) 9 (d) 6
2. 2.₹360 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹80 (b) ₹180 (c) ₹40 (d) ₹280
3. 3.8 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 24 days (c) 14 days (d) 4 days
4. 4.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
5. 5.If 24 July is a Thursday, what day of the week is 20 August? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
6. 6.What is the value of the digit 8 in 79.518? (a) 0.08 (b) 8 (c) 0.8 (d) 0.008
7. 7.₹2500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹2550 (b) ₹2650 (c) ₹2600 (d) ₹100
8. 8.Which fraction is greater: 5/9 or 11/12? (a) They are equal (b) 5/9 (c) 11/12
9. 9.5.14 + 6.9 = ? (a) 5.83 (b) 12.14 (c) 11.94 (d) 12.04
10. 10.Every pair follows the same rule: 2 : 2, 3 : 7, 5 : 23. What is 9 : ? (a) 9 (b) 80 (c) 55 (d) 79
11. 11.Which is the smallest: 0.5, 0.019, 0.426, 0.58? (a) 0.5 (b) 0.019 (c) 0.426 (d) 0.58
12. 12.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
13. 13.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
14. 14.What is the smallest number you must add to 31 to make it divisible by 3? (a) 2 (b) 1
15. 15.1.59 + 6.9 = ? (a) 8.39 (b) 2.28 (c) 8.59 (d) 8.49
16. 16.What is the value of the digit 6 in 67.528? (a) 6 (b) 0.6 (c) 0.06 (d) 60
17. 17.Today is Sunday. What day of the week will it be after 23 days? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
18. 18.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 5 : ? (a) 125 (b) 164 (c) 5 (d) 126
19. 19.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 42 cm
20. 20.What is 5/6 of 48? (a) 8 (b) 40 (c) 48 (d) 41
21. 21.Which is the greatest: 0.718, 0.83, 0.8, 0.089? (a) 0.718 (b) 0.83 (c) 0.8 (d) 0.089
22. 22.What is 15% of 680? (a) 578 (b) 1020 (c) 102 (d) 204
23. 23.₹7000 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹7350 (b) ₹9100 (c) ₹1750 (d) ₹8750
24. 24.A bag marked ₹1800 is sold at a 10% discount. What is its selling price? (a) ₹1790 (b) ₹180 (c) ₹1980 (d) ₹1620
25. 25.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
26. 26.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 4 min (c) 96 min (d) 24 min
27. 27.What is the average of 59, 51, 36, 60 and 34? (a) 49 (b) 47 (c) 60 (d) 48
28. 28.If 14 May is a Friday, what day of the week is 11 June? (a) Friday (b) Saturday (c) Sunday (d) Thursday
29. 29.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 18 cm (c) 10 cm (d) 9 cm
30. 30.Today is Sunday. What day of the week will it be after 66 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
31. 31.If 18 March is a Thursday, what day of the week is 2 April? (a) Sunday (b) Friday (c) Saturday (d) Thursday
32. 32.Which of these numbers is divisible by 4? (a) 335 (b) 338 (c) 336 (d) 341
33. 33.Today is Wednesday. What day of the week will it be after 86 days? (a) Sunday (b) Saturday (c) Thursday (d) Friday
34. 34.What is 60% of 160? (a) 960 (b) 96 (c) 64 (d) 192
35. 35.What is the value of the digit 2 in 12.486? (a) 0.2 (b) 2 (c) 20 (d) 0.02
36. 36.2.48 + 3.1 = ? (a) 5.48 (b) 5.58 (c) 2.79 (d) 5.68
37. 37.Today is Monday. What day of the week will it be after 82 days? (a) Sunday (b) Saturday (c) Friday (d) Monday
38. 38.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
39. 39.What is the value of the digit 5 in 62.135? (a) 5 (b) 0.005 (c) 0.05 (d) 0.5
40. 40.Every pair follows the same rule: 2 : 3, 7 : 23, 8 : 27. What is 4 : ? (a) 5 (b) 10 (c) 11 (d) 12

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