Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 641 · 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 shopkeeper buys a toy for ₹180 and sells it for ₹198. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 18%
2. 2.Which of these numbers is divisible by 8? (a) 1095 (b) 1088 (c) 1086 (d) 1103
3. 3.If 8 mangoes cost ₹72, how much do 5 mangoes cost? (a) ₹360 (b) ₹45 (c) ₹69 (d) ₹54
4. 4.Every pair follows the same rule: 2 : 12, 3 : 17, 7 : 57. What is 5 : ? (a) 15 (b) 30 (c) 37 (d) 33
5. 5.₹2500 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹2700 (b) ₹2800 (c) ₹2600 (d) ₹200
6. 6.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 8 cm (d) 9 cm
7. 7.Every pair follows the same rule: 2 : 14, 6 : 42, 9 : 63. What is 4 : ? (a) 28 (b) 16 (c) 27 (d) 29
8. 8.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 48 (b) 52 (c) 58 (d) 94
9. 9.If 5x + 28 = 73, what is x? (a) 9 (b) 10 (c) 8 (d) 45
10. 10.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 42 sq cm (d) 56 sq cm
11. 11.What is the units digit of 2^42? (a) 2 (b) 4 (c) 6 (d) 8
12. 12.What is 3/7 of 28? (a) 13 (b) 16 (c) 4 (d) 12
13. 13.5.32 + 1.6 = ? (a) 6.82 (b) 5.48 (c) 6.92 (d) 7.02
14. 14.The simple interest on ₹5500 for 4 years is ₹440. What is the rate per year? (a) 2% (b) 3% (c) 8% (d) 1%
15. 15.What is 75% of 600? (a) 4500 (b) 150 (c) 900 (d) 450
16. 16.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
17. 17.If 5x + 15 = x + 63, what is x? (a) 13 (b) 8 (c) 14 (d) 12
18. 18.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 20%
19. 19.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 68 sq cm (d) 21 sq cm
20. 20.A bag marked ₹200 is sold at a 50% discount. What is its selling price? (a) ₹150 (b) ₹101 (c) ₹100 (d) ₹300
21. 21.What is 15% of 100? (a) 15 (b) 150 (c) 85 (d) 30
22. 22.Which fraction is greater: 1/4 or 3/11? (a) They are equal (b) 3/11 (c) 1/4
23. 23.Two ribbons are 30 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) 30 cm (b) 5 cm (c) 10 cm (d) 120 cm
24. 24.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 40 cm (c) 26 cm (d) 168 cm
25. 25.If 8x + 1 = 17, what is x? (a) 16 (b) 3 (c) 1 (d) 2
26. 26.What is the value of the digit 8 in 27.384? (a) 8 (b) 0.8 (c) 0.08 (d) 0.008
27. 27.What is the value of the digit 7 in 78.269? (a) 0.7 (b) 70 (c) 7 (d) 0.07
28. 28.What is the value of the digit 5 in 15.792? (a) 0.05 (b) 0.5 (c) 5 (d) 50
29. 29.4.19 + 1.1 = ? (a) 5.39 (b) 4.3 (c) 5.29 (d) 5.19
30. 30.1/2 + 1/2 = ? (a) 1 (b) 1/2 (c) 3/2 (d) 2
31. 31.Which of these numbers is divisible by 3? (a) 1405 (b) 1401 (c) 1399 (d) 1402
32. 32.Which is the greatest: 0.022, 0.6, 0.589, 0.63? (a) 0.022 (b) 0.6 (c) 0.589 (d) 0.63
33. 33.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 47 cm (d) 171 cm
34. 34.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 64 (b) 62 (c) 54 (d) 110
35. 35.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 30% (b) 26% (c) 20% (d) 25%
36. 36.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 1 day (d) 11 days
37. 37.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 98 cm (d) 35 cm
38. 38.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 32 sq cm (d) 24 sq cm
39. 39.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
40. 40.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 72 (b) 36 (c) 21 (d) 108

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