Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 374 · 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.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 150 (b) 300 (c) 750 (d) 55
2. 2.What is the units digit of 4^15? (a) 3 (b) 4 (c) 5 (d) 6
3. 3.In how many years will ₹5000 earn ₹900 simple interest at 6% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
4. 4.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 50 (c) 20 (d) 32
5. 5.If 5 pens cost ₹30, how much do 3 pens cost? (a) ₹24 (b) ₹28 (c) ₹18 (d) ₹90
6. 6.If 2 October is a Tuesday, what day of the week is 14 October? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
7. 7.What is the remainder when 112 is divided by 5? (a) 2 (b) 3 (c) 1 (d) 4
8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
9. 9.Which is the greatest: 0.7, 0.685, 0.75, 0.073? (a) 0.7 (b) 0.685 (c) 0.75 (d) 0.073
10. 10.Which fraction is greater: 1/4 or 4/7? (a) 4/7 (b) They are equal (c) 1/4
11. 11.What is 60% of 600? (a) 360 (b) 3600 (c) 720 (d) 240
12. 12.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 44 cm (c) 22 cm (d) 42 cm
13. 13.Which is the smallest: 0.65, 0.551, 0.6, 0.058? (a) 0.65 (b) 0.551 (c) 0.6 (d) 0.058
14. 14.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 53 (b) 29 (c) 44 (d) 20
15. 15.Which is the smallest: 0.074, 0.7, 0.697, 0.77? (a) 0.074 (b) 0.7 (c) 0.697 (d) 0.77
16. 16.If 11 April is a Saturday, what day of the week is 10 May? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
17. 17.Every pair follows the same rule: 2 : 1, 7 : 11, 8 : 13. What is 9 : ? (a) 16 (b) 15 (c) 17 (d) 14
18. 18.If 1 October is a Sunday, what day of the week is 15 October? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
19. 19.What is 1/4 of 36? (a) 27 (b) 10 (c) 9 (d) 18
20. 20.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 4 min (c) 40 min (d) 160 min
21. 21.Today is Friday. What day of the week will it be after 27 days? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
22. 22.6.99 + 7.9 = ? (a) 7.78 (b) 14.79 (c) 14.89 (d) 14.99
23. 23.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 756 (c) 126 (d) 252
24. 24.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 12 cm (b) 35 cm (c) 6 cm (d) 7 cm
25. 25.What is the average of 56, 63, 55, 75, 70 and 95? (a) 69 (b) 70 (c) 71 (d) 68
26. 26.What is the average of all the whole numbers from 43 to 55? (a) 6 (b) 49 (c) 12 (d) 50
27. 27.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 32 cm (d) 20 cm
28. 28.If 8x − 4 = 28, what is x? (a) 32 (b) 3 (c) 5 (d) 4
29. 29.What is 1/2 of 24? (a) 12 (b) 11 (c) 24 (d) 13
30. 30.If 4x + 7 = x + 25, what is x? (a) 7 (b) 5 (c) 8 (d) 6
31. 31.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 67 (b) 49 (c) 30 (d) 43
32. 32.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 33 min (c) 270 min (d) 90 min
33. 33.What is 1/3 of 27? (a) 10 (b) 9 (c) 8 (d) 18
34. 34.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
35. 35.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 5 (b) 71 (c) 40 (d) 36
36. 36.If 8x + 12 = 3x + 42, what is x? (a) 8 (b) 5 (c) 7 (d) 6
37. 37.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 24 (c) 40 (d) 18
38. 38.In how many years will ₹3500 earn ₹945 simple interest at 9% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
39. 39.What is the value of the digit 5 in 93.542? (a) 0.05 (b) 0.5 (c) 5 (d) 0.005
40. 40.A bag marked ₹480 is sold at a 50% discount. What is its selling price? (a) ₹430 (b) ₹241 (c) ₹720 (d) ₹240

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