Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 905 · 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 has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 4 cm (c) 3 cm (d) 6 cm
2. 2.Which fraction is greater: 1/3 or 3/5? (a) 1/3 (b) 3/5 (c) They are equal
3. 3.What is the units digit of 3^32? (a) 9 (b) 3 (c) 1 (d) 7
4. 4.Two ribbons are 25 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 1 cm (c) 15 cm (d) 5 cm
5. 5.2.84 + 5.2 = ? (a) 7.94 (b) 8.04 (c) 8.14 (d) 3.36
6. 6.If 4x + 17 = 3x + 26, what is x? (a) 11 (b) 43 (c) 10 (d) 9
7. 7.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 99 (b) 48 (c) 33 (d) 34
8. 8.If 18 September is a Saturday, what day of the week is 9 October? (a) Friday (b) Sunday (c) Monday (d) Saturday
9. 9.2.11 + 1.4 = ? (a) 3.61 (b) 2.25 (c) 3.41 (d) 3.51
10. 10.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 100 min (b) 5 min (c) 45 min (d) 500 min
11. 11.2/8 + 2/4 = ? (a) 5/8 (b) 3/4 (c) 7/8 (d) 1/3
12. 12.What is the value of the digit 2 in 42.967? (a) 20 (b) 0.2 (c) 2 (d) 0.02
13. 13.What is the value of the digit 3 in 25.341? (a) 3 (b) 0.03 (c) 0.003 (d) 0.3
14. 14.Every pair follows the same rule: 2 : 9, 5 : 30, 8 : 69. What is 9 : ? (a) 86 (b) 82 (c) 87 (d) 16
15. 15.If 8x + 8 = 88, what is x? (a) 12 (b) 10 (c) 80 (d) 11
16. 16.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 80 min (c) 18 min (d) 40 min
17. 17.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 70 (c) 15 (d) 58
18. 18.What is the simple interest on ₹5000 at 11% per year for 3 years? (a) ₹550 (b) ₹2200 (c) ₹6650 (d) ₹1650
19. 19.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 72 sq cm (c) 21 sq cm (d) 42 sq cm
20. 20.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 220 sq cm (c) 240 sq cm (d) 62 sq cm
21. 21.What is the value of the digit 7 in 37.192? (a) 70 (b) 7 (c) 0.7 (d) 0.07
22. 22.What is the units digit of 4^49? (a) 6 (b) 5 (c) 3 (d) 4
23. 23.What is the units digit of 3^16? (a) 3 (b) 1 (c) 7 (d) 9
24. 24.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 27 sq cm (b) 152 sq cm (c) 54 sq cm (d) 171 sq cm
25. 25.Which fraction is greater: 1/9 or 9/11? (a) They are equal (b) 9/11 (c) 1/9
26. 26.₹414 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹92 (b) ₹207 (c) ₹46 (d) ₹322
27. 27.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 198 sq cm (d) 28 sq cm
28. 28.A bag marked ₹460 is sold at a 25% discount. What is its selling price? (a) ₹575 (b) ₹435 (c) ₹345 (d) ₹115
29. 29.If 2 mangoes cost ₹50, how much do 10 mangoes cost? (a) ₹275 (b) ₹500 (c) ₹250 (d) ₹58
30. 30.If 30 September is a Saturday, what day of the week is 6 October? (a) Sunday (b) Friday (c) Saturday (d) Thursday
31. 31.The simple interest on ₹6000 for 3 years is ₹1800. What is the rate per year? (a) 30% (b) 9% (c) 11% (d) 10%
32. 32.9.06 + 9.6 = ? (a) 18.56 (b) 18.66 (c) 10.02 (d) 18.76
33. 33.Which of these numbers is divisible by 4? (a) 365 (b) 363 (c) 359 (d) 360
34. 34.Today is Thursday. What day of the week will it be after 10 days? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
35. 35.Every pair follows the same rule: 2 : 3, 3 : 8, 9 : 80. What is 5 : ? (a) 24 (b) 6 (c) 32 (d) 25
36. 36.Which fraction is greater: 8/9 or 2/3? (a) They are equal (b) 2/3 (c) 8/9
37. 37.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 35% (b) 48% (c) 40% (d) 45%
38. 38.What is the units digit of 4^22? (a) 4 (b) 7 (c) 6 (d) 5
39. 39.A bag marked ₹1920 is sold at a 20% discount. What is its selling price? (a) ₹1536 (b) ₹1900 (c) ₹2304 (d) ₹384
40. 40.What is 2/3 of 15? (a) 5 (b) 15 (c) 10 (d) 11

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