Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 714 · 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.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 32 sq cm (d) 40 sq cm
2. 2.₹6000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹6900 (b) ₹900 (c) ₹6300 (d) ₹7200
3. 3.If 3x + 5 = 44, what is x? (a) 13 (b) 12 (c) 14 (d) 39
4. 4.What is 5/6 of 30? (a) 26 (b) 5 (c) 25 (d) 30
5. 5.What is the average of all the whole numbers from 40 to 78? (a) 19 (b) 59 (c) 60 (d) 38
6. 6.Which is the smallest: 0.4, 0.324, 0.026, 0.44? (a) 0.4 (b) 0.324 (c) 0.026 (d) 0.44
7. 7.If x/5 + 15 = 18, what is x? (a) 3 (b) 75 (c) 165 (d) 15
8. 8.A shopkeeper buys a toy for ₹740 and sells it for ₹555. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
9. 9.In how many years will ₹5500 earn ₹2420 simple interest at 11% per year? (a) 3 years (b) 4 years (c) 8 years (d) 5 years
10. 10.If 6 January is a Wednesday, what day of the week is 19 January? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
11. 11.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 3 : ? (a) 3 (b) 26 (c) 27 (d) 28
12. 12.If 2 notebooks cost ₹48, how much do 3 notebooks cost? (a) ₹96 (b) ₹72 (c) ₹49 (d) ₹144
13. 13.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 105 sq cm (d) 120 sq cm
14. 14.Every pair follows the same rule: 3 : 12, 7 : 16, 9 : 18. What is 6 : ? (a) 16 (b) 15 (c) 24 (d) 14
15. 15.Today is Friday. What day of the week will it be after 19 days? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
16. 16.What is the value of the digit 9 in 27.495? (a) 0.9 (b) 9 (c) 0.009 (d) 0.09
17. 17.If 2 notebooks cost ₹16, how much do 3 notebooks cost? (a) ₹48 (b) ₹17 (c) ₹32 (d) ₹24
18. 18.Two ribbons are 25 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 25 cm (c) 150 cm (d) 1 cm
19. 19.If 2 mangoes cost ₹6, how much do 12 mangoes cost? (a) ₹36 (b) ₹16 (c) ₹39 (d) ₹72
20. 20.What is the remainder when 915 is divided by 12? (a) 2 (b) 4 (c) 3 (d) 9
21. 21.1.03 + 3.7 = ? (a) 1.4 (b) 4.63 (c) 4.73 (d) 4.83
22. 22.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 140 min (c) 24 min (d) 70 min
23. 23.2.21 + 2.1 = ? (a) 4.41 (b) 4.21 (c) 4.31 (d) 2.42
24. 24.If 8x + 10 = 114, what is x? (a) 14 (b) 12 (c) 104 (d) 13
25. 25.₹205 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹165 (b) ₹205 (c) ₹41 (d) ₹164
26. 26.A teacher has 35 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 210 (c) 1 (d) 7
27. 27.What is the average of 59, 63, 41 and 53? (a) 72 (b) 54 (c) 55 (d) 53
28. 28.Today is Thursday. What day of the week will it be after 60 days? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
29. 29.Every pair follows the same rule: 3 : 8, 4 : 12, 5 : 16. What is 7 : ? (a) 12 (b) 23 (c) 25 (d) 24
30. 30.What is the remainder when 106 is divided by 7? (a) 6 (b) 1 (c) 0 (d) 2
31. 31.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 56 (b) 224 (c) 112 (d) 36
32. 32.Two ribbons are 10 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 8 cm (c) 2 cm (d) 10 cm
33. 33.What is the average of all the whole numbers from 55 to 75? (a) 65 (b) 20 (c) 66 (d) 10
34. 34.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 133 sq cm (c) 50 sq cm (d) 114 sq cm
35. 35.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 17 days (d) 25 days
36. 36.What is the units digit of 4^60? (a) 7 (b) 5 (c) 4 (d) 6
37. 37.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 15 sq cm (d) 30 sq cm
38. 38.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
39. 39.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 44 cm (c) 40 cm (d) 22 cm
40. 40.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 4 cm (d) 6 cm

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