Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 270 · 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 28 July is a Sunday, what day of the week is 20 August? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
2. 2.7.28 + 9.2 = ? (a) 8.2 (b) 16.58 (c) 16.38 (d) 16.48
3. 3.Which is the greatest: 0.32, 0.254, 0.097, 0.3? (a) 0.32 (b) 0.254 (c) 0.097 (d) 0.3
4. 4.Today is Monday. What day of the week will it be after 21 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
5. 5.If 9 notebooks cost ₹108, how much do 3 notebooks cost? (a) ₹48 (b) ₹36 (c) ₹324 (d) ₹102
6. 6.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
7. 7.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 280 (b) 55 (c) 700 (d) 140
8. 8.Which of these numbers is divisible by 3? (a) 209 (b) 206 (c) 212 (d) 207
9. 9.If 9x − 89 = 46, what is x? (a) 14 (b) 15 (c) 135 (d) 16
10. 10.If 3x + 22 = 64, what is x? (a) 13 (b) 15 (c) 42 (d) 14
11. 11.In how many years will ₹2500 earn ₹150 simple interest at 2% per year? (a) 4 years (b) 6 years (c) 2 years (d) 3 years
12. 12.What is 1/3 of 12? (a) 5 (b) 8 (c) 4 (d) 3
13. 13.₹9000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹9810 (b) ₹9270 (c) ₹540 (d) ₹9540
14. 14.1/3 + 1/8 = ? (a) 1/2 (b) 5/12 (c) 11/24 (d) 2/11
15. 15.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 26 sq cm (d) 153 sq cm
16. 16.If 3x − 11 = 28, what is x? (a) 13 (b) 14 (c) 12 (d) 39
17. 17.Every pair follows the same rule: 4 : 23, 6 : 43, 7 : 56. What is 9 : ? (a) 89 (b) 28 (c) 88 (d) 82
18. 18.Which is the smallest: 0.42, 0.314, 0.4, 0.015? (a) 0.42 (b) 0.314 (c) 0.4 (d) 0.015
19. 19.Which fraction is greater: 5/9 or 1/12? (a) They are equal (b) 5/9 (c) 1/12
20. 20.Every pair follows the same rule: 3 : 21, 4 : 25, 6 : 33. What is 9 : ? (a) 46 (b) 27 (c) 45 (d) 63
21. 21.Which is the greatest: 0.8, 0.87, 0.021, 0.797? (a) 0.8 (b) 0.87 (c) 0.021 (d) 0.797
22. 22.A teacher has 24 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 3 (c) 120 (d) 6
23. 23.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 176 cm
24. 24.If 13 December is a Tuesday, what day of the week is 23 December? (a) Thursday (b) Saturday (c) Friday (d) Sunday
25. 25.If 3x + 13 = x + 17, what is x? (a) 15 (b) 2 (c) 3 (d) 1
26. 26.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 18 days (c) 12 days (d) 2 days
27. 27.If 29 March is a Saturday, what day of the week is 19 April? (a) Friday (b) Saturday (c) Sunday (d) Monday
28. 28.What is the value of the digit 9 in 24.319? (a) 9 (b) 0.009 (c) 0.09 (d) 0.9
29. 29.Which fraction is greater: 4/9 or 3/7? (a) 3/7 (b) 4/9 (c) They are equal
30. 30.8.24 + 8.2 = ? (a) 16.54 (b) 16.34 (c) 9.06 (d) 16.44
31. 31.5/9 + 1/3 = ? (a) 1 (b) 8/9 (c) 7/9 (d) 1/2
32. 32.What is 1/2 of 22? (a) 12 (b) 22 (c) 10 (d) 11
33. 33.Two ribbons are 20 cm and 90 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) 20 cm (c) 10 cm (d) 70 cm
34. 34.If 3x + 8 = x + 12, what is x? (a) 1 (b) 3 (c) 2 (d) 10
35. 35.A teacher has 49 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 49 (c) 7 (d) 14
36. 36.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 162 sq cm (c) 180 sq cm (d) 27 sq cm
37. 37.What is the remainder when 292 is divided by 5? (a) 3 (b) 4 (c) 1 (d) 2
38. 38.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 120 min (c) 6 min (d) 720 min
39. 39.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 96% (b) 15% (c) 10% (d) 5%
40. 40.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm

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