Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 818 · 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 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 30 cm (d) 25 cm
2. 2.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 31 sq cm (c) 62 sq cm (d) 228 sq cm
3. 3.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 76 sq cm (d) 44 sq cm
4. 4.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 80 (b) 40 (c) 28 (d) 160
5. 5.Which of these numbers is divisible by 6? (a) 1656 (b) 1653 (c) 1665 (d) 1658
6. 6.1/2 + 3/4 = ? (a) 1 (b) 5/4 (c) 3/2 (d) 2/3
7. 7.Which fraction is greater: 7/9 or 2/3? (a) 7/9 (b) 2/3 (c) They are equal
8. 8.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 140 cm
9. 9.What is 60% of 980? (a) 392 (b) 1176 (c) 5880 (d) 588
10. 10.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 40% (b) 41% (c) 45% (d) 35%
11. 11.Today is Thursday. What day of the week will it be after 83 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
12. 12.If x/5 + 14 = 25, what is x? (a) 11 (b) 55 (c) 111 (d) 195
13. 13.If 8 March is a Saturday, what day of the week is 22 March? (a) Sunday (b) Saturday (c) Monday (d) Friday
14. 14.2/4 + 7/8 = ? (a) 3/2 (b) 5/4 (c) 3/4 (d) 11/8
15. 15.Every pair follows the same rule: 3 : 17, 4 : 18, 8 : 22. What is 7 : ? (a) 23 (b) 20 (c) 22 (d) 21
16. 16.1.85 + 6.8 = ? (a) 2.53 (b) 8.75 (c) 8.55 (d) 8.65
17. 17.What is the value of the digit 6 in 65.178? (a) 6 (b) 0.6 (c) 0.06 (d) 60
18. 18.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 64 (b) 31 (c) 39 (d) 87
19. 19.What is 60% of 120? (a) 48 (b) 144 (c) 720 (d) 72
20. 20.Every pair follows the same rule: 3 : 9, 5 : 25, 9 : 81. What is 8 : ? (a) 64 (b) 24 (c) 67 (d) 14
21. 21.The simple interest on ₹8500 for 4 years is ₹2040. What is the rate per year? (a) 5% (b) 7% (c) 24% (d) 6%
22. 22.What is the average of all the whole numbers from 5 to 21? (a) 16 (b) 14 (c) 8 (d) 13
23. 23.What is 6/7 of 63? (a) 54 (b) 9 (c) 55 (d) 63
24. 24.₹2000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹2320 (b) ₹2400 (c) ₹320 (d) ₹2080
25. 25.Which is the greatest: 0.121, 0.022, 0.2, 0.24? (a) 0.121 (b) 0.022 (c) 0.2 (d) 0.24
26. 26.What is the value of the digit 5 in 21.547? (a) 0.005 (b) 0.5 (c) 0.05 (d) 5
27. 27.Today is Monday. What day of the week will it be after 17 days? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
28. 28.What is the value of the digit 8 in 28.169? (a) 0.08 (b) 80 (c) 8 (d) 0.8
29. 29.If 6 pens cost ₹108, how much do 7 pens cost? (a) ₹144 (b) ₹126 (c) ₹109 (d) ₹756
30. 30.9 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 9 days (d) 11 days
31. 31.Today is Monday. What day of the week will it be after 11 days? (a) Sunday (b) Saturday (c) Thursday (d) Friday
32. 32.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 18 sq cm (d) 16 sq cm
33. 33.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 12 min (b) 2 min (c) 10 min (d) 24 min
34. 34.A teacher has 22 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 55 (c) 22 (d) 1
35. 35.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 8%
36. 36.Every pair follows the same rule: 2 : 6, 3 : 9, 6 : 18. What is 5 : ? (a) 15 (b) 14 (c) 16 (d) 9
37. 37.Two ribbons are 24 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 40 cm (b) 8 cm (c) 24 cm (d) 4 cm
38. 38.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 15 cm (d) 36 cm
39. 39.Every pair follows the same rule: 4 : 24, 7 : 57, 9 : 89. What is 3 : ? (a) 16 (b) 18 (c) 23 (d) 17
40. 40.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 68 cm (c) 21 cm (d) 42 cm

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