Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 387 · 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.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 216 min (b) 6 min (c) 36 min (d) 30 min
2. 2.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
3. 3.What is 10% of 980? (a) 196 (b) 980 (c) 882 (d) 98
4. 4.If 4x + 1 = 25, what is x? (a) 24 (b) 5 (c) 7 (d) 6
5. 5.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 192 sq cm (c) 28 sq cm (d) 56 sq cm
6. 6.A bag marked ₹1000 is sold at a 50% discount. What is its selling price? (a) ₹500 (b) ₹1500 (c) ₹501 (d) ₹950
7. 7.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 46 (b) 70 (c) 36 (d) 40
8. 8.Which of these numbers is divisible by 11? (a) 5953 (b) 5944 (c) 5951 (d) 5963
9. 9.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 18 cm (d) 10 cm
10. 10.If 8x + 3 = 35, what is x? (a) 3 (b) 32 (c) 5 (d) 4
11. 11.What is the value of the digit 2 in 15.726? (a) 0.002 (b) 0.02 (c) 2 (d) 0.2
12. 12.₹10000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹1500 (b) ₹10300 (c) ₹11800 (d) ₹11500
13. 13.If x/2 + 3 = 11, what is x? (a) 19 (b) 8 (c) 28 (d) 16
14. 14.If 17 April is a Friday, what day of the week is 5 May? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
15. 15.If 25 April is a Friday, what day of the week is 5 May? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
16. 16.Which of these numbers is divisible by 11? (a) 7748 (b) 7763 (c) 7773 (d) 7755
17. 17.Every pair follows the same rule: 3 : 7, 4 : 8, 5 : 9. What is 2 : ? (a) 5 (b) 6 (c) 8 (d) 7
18. 18.Today is Sunday. What day of the week will it be after 54 days? (a) Friday (b) Sunday (c) Thursday (d) Saturday
19. 19.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 9 days (c) 2 days (d) 8 days
20. 20.What is the units digit of 2^24? (a) 4 (b) 2 (c) 6 (d) 8
21. 21.Which of these numbers is divisible by 3? (a) 868 (b) 865 (c) 867 (d) 871
22. 22.Every pair follows the same rule: 2 : 7, 3 : 12, 5 : 28. What is 8 : ? (a) 52 (b) 67 (c) 13 (d) 68
23. 23.6.51 + 1.7 = ? (a) 6.68 (b) 8.21 (c) 8.31 (d) 8.11
24. 24.What is the smallest number you must add to 232 to make it divisible by 3? (a) 2 (b) 1
25. 25.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 82 (b) 11 (c) 12 (d) 39
26. 26.2.37 + 3.8 = ? (a) 2.75 (b) 6.17 (c) 6.27 (d) 6.07
27. 27.If 30 June is a Saturday, what day of the week is 4 July? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
28. 28.Which fraction is greater: 1/8 or 2/7? (a) 2/7 (b) 1/8 (c) They are equal
29. 29.What is 1/9 of 72? (a) 64 (b) 9 (c) 16 (d) 8
30. 30.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 6 min (c) 360 min (d) 60 min
31. 31.2/3 + 1/8 = ? (a) 19/24 (b) 3/4 (c) 5/6 (d) 3/11
32. 32.If 4 mangoes cost ₹12, how much do 9 mangoes cost? (a) ₹30 (b) ₹17 (c) ₹108 (d) ₹27
33. 33.Which fraction is greater: 5/7 or 2/3? (a) They are equal (b) 5/7 (c) 2/3
34. 34.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 12 (b) 186 (c) 24 (d) 216
35. 35.What is the smallest number you must add to 256 to make it divisible by 9? (a) 4 (b) 5 (c) 7 (d) 6
36. 36.If 30 August is a Monday, what day of the week is 15 September? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
37. 37.The simple interest on ₹4000 for 5 years is ₹2000. What is the rate per year? (a) 9% (b) 50% (c) 10% (d) 11%
38. 38.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 31 cm (c) 19 cm (d) 38 cm
39. 39.What is 1/2 of 6? (a) 6 (b) 4 (c) 2 (d) 3
40. 40.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 10 days (c) 4 days (d) 16 days

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