Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 766 · 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 ₹560 and sells it for ₹700. What is his profit percent? (a) 20% (b) 25% (c) 26% (d) 30%
2. 2.If 8x − 15 = 57, what is x? (a) 72 (b) 10 (c) 9 (d) 8
3. 3.If 9x − 53 = 73, what is x? (a) 15 (b) 14 (c) 126 (d) 13
4. 4.What is 1/4 of 44? (a) 12 (b) 11 (c) 22 (d) 33
5. 5.What is the average of all the whole numbers from 55 to 71? (a) 16 (b) 64 (c) 63 (d) 8
6. 6.A teacher has 6 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 8 (c) 6 (d) 1
7. 7.Every pair follows the same rule: 3 : 5, 8 : 15, 9 : 17. What is 4 : ? (a) 6 (b) 9 (c) 7 (d) 8
8. 8.Every pair follows the same rule: 2 : 14, 3 : 21, 9 : 63. What is 7 : ? (a) 50 (b) 19 (c) 48 (d) 49
9. 9.What is 10% of 420? (a) 378 (b) 420 (c) 42 (d) 84
10. 10.If 8x − 58 = 6, what is x? (a) 7 (b) 8 (c) 64 (d) 9
11. 11.Every pair follows the same rule: 2 : 16, 5 : 40, 8 : 64. What is 7 : ? (a) 55 (b) 21 (c) 56 (d) 57
12. 12.₹2000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹2240 (b) ₹2360 (c) ₹240 (d) ₹2120
13. 13.What is 1/9 of 63? (a) 14 (b) 8 (c) 56 (d) 7
14. 14.If 8x + 7 = 2x + 13, what is x? (a) 3 (b) 1 (c) 4 (d) 2
15. 15.1/5 + 1/5 = ? (a) 2/5 (b) 3/5 (c) 1/5 (d) 4/5
16. 16.Two ribbons are 10 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 60 cm (c) 1 cm (d) 10 cm
17. 17.₹6500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹585 (b) ₹7085 (c) ₹7280 (d) ₹6695
18. 18.₹182 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹91 (b) ₹14 (c) ₹70 (d) ₹112
19. 19.Every pair follows the same rule: 5 : 25, 7 : 49, 9 : 81. What is 4 : ? (a) 1 (b) 20 (c) 16 (d) 24
20. 20.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 56 (c) 224 (d) 112
21. 21.If 9 notebooks cost ₹144, how much do 4 notebooks cost? (a) ₹576 (b) ₹80 (c) ₹64 (d) ₹139
22. 22.What is the smallest number you must add to 501 to make it divisible by 7? (a) 2 (b) 3 (c) 5 (d) 4
23. 23.What is 1/7 of 70? (a) 60 (b) 11 (c) 10 (d) 20
24. 24.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 180 (b) 33 (c) 270 (d) 90
25. 25.Which of these numbers is divisible by 9? (a) 5120 (b) 5110 (c) 5098 (d) 5103
26. 26.What is the average of all the whole numbers from 24 to 64? (a) 44 (b) 45 (c) 40 (d) 20
27. 27.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 31 (b) 16 (c) 60 (d) 30
28. 28.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
29. 29.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 41 (c) 36 (d) 73
30. 30.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 525 (b) 50 (c) 210 (d) 105
31. 31.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 22 cm (c) 44 cm (d) 40 cm
32. 32.Every pair follows the same rule: 4 : 16, 5 : 20, 8 : 32. What is 2 : ? (a) 9 (b) 8 (c) 14 (d) 7
33. 33.Two ribbons are 18 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 3 cm (c) 18 cm (d) 6 cm
34. 34.₹588 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹210 (b) ₹42 (c) ₹294 (d) ₹378
35. 35.If 11 November is a Tuesday, what day of the week is 17 December? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
36. 36.What is the smallest number you must add to 477 to make it divisible by 10? (a) 3 (b) 4 (c) 2 (d) 7
37. 37.₹3500 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹3710 (b) ₹3570 (c) ₹210 (d) ₹3780
38. 38.What is the value of the digit 1 in 25.341? (a) 0.01 (b) 0.001 (c) 1 (d) 0.1
39. 39.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 31 cm (d) 99 cm
40. 40.If 7x + 16 = 58, what is x? (a) 5 (b) 42 (c) 6 (d) 7

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