Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 375 · 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 value of the digit 4 in 46.391? (a) 0.4 (b) 0.04 (c) 4 (d) 40
2. 2.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
3. 3.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 30 cm
4. 4.What is the average of 69, 69, 84, 75 and 98? (a) 78 (b) 79 (c) 81 (d) 80
5. 5.What is the units digit of 8^58? (a) 6 (b) 2 (c) 4 (d) 8
6. 6.If 3 March is a Saturday, what day of the week is 14 March? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
7. 7.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm
8. 8.If 5x + 12 = 4x + 16, what is x? (a) 5 (b) 6 (c) 28 (d) 4
9. 9.In how many years will ₹4000 earn ₹560 simple interest at 7% per year? (a) 4 years (b) 2 years (c) 3 years (d) 1 year
10. 10.Every pair follows the same rule: 1 : 1, 4 : 64, 6 : 216. What is 2 : ? (a) 7 (b) 2 (c) 8 (d) 9
11. 11.If x/2 + 14 = 21, what is x? (a) 7 (b) 28 (c) 70 (d) 14
12. 12.If 15 October is a Wednesday, what day of the week is 23 October? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
13. 13.Which fraction is greater: 1/6 or 2/3? (a) They are equal (b) 1/6 (c) 2/3
14. 14.The simple interest on ₹3500 for 2 years is ₹420. What is the rate per year? (a) 12% (b) 7% (c) 5% (d) 6%
15. 15.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 220 cm
16. 16.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 143 cm
17. 17.The simple interest on ₹7500 for 2 years is ₹1500. What is the rate per year? (a) 20% (b) 9% (c) 10% (d) 11%
18. 18.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 12 (b) 58 (c) 52 (d) 49
19. 19.What is the value of the digit 8 in 28.345? (a) 80 (b) 0.8 (c) 0.08 (d) 8
20. 20.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 210 (b) 105 (c) 525 (d) 50
21. 21.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 23 cm (d) 30 cm
22. 22.If 14 July is a Wednesday, what day of the week is 26 July? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
23. 23.Which of these numbers is divisible by 11? (a) 859 (b) 872 (c) 883 (d) 869
24. 24.If 28 October is a Saturday, what day of the week is 2 November? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
25. 25.What is the value of the digit 1 in 47.318? (a) 0.01 (b) 1 (c) 0.001 (d) 0.1
26. 26.₹280 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹105 (b) ₹140 (c) ₹175 (d) ₹35
27. 27.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 8 cm (d) 7 cm
28. 28.Two ribbons are 9 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 3 cm (c) 6 cm (d) 9 cm
29. 29.What is the units digit of 7^39? (a) 3 (b) 9 (c) 1 (d) 7
30. 30.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 165 sq cm (c) 180 sq cm (d) 52 sq cm
31. 31.A shopkeeper buys a toy for ₹740 and sells it for ₹592. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
32. 32.If 6 October is a Wednesday, what day of the week is 21 October? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
33. 33.Which of these numbers is divisible by 3? (a) 849 (b) 854 (c) 847 (d) 850
34. 34.If 7x + 16 = 58, what is x? (a) 42 (b) 5 (c) 7 (d) 6
35. 35.Which fraction is greater: 2/9 or 2/11? (a) 2/11 (b) They are equal (c) 2/9
36. 36.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 25% (b) 20% (c) 75% (d) 30%
37. 37.What is 3/8 of 48? (a) 24 (b) 6 (c) 18 (d) 30
38. 38.7.44 + 5.3 = ? (a) 12.74 (b) 7.97 (c) 12.84 (d) 12.64
39. 39.₹138 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹23 (b) ₹69 (c) ₹138 (d) ₹115
40. 40.If 3 mangoes cost ₹39, how much do 6 mangoes cost? (a) ₹234 (b) ₹42 (c) ₹78 (d) ₹91

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