Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 118 · 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.₹88 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹44 (b) ₹88 (c) ₹11 (d) ₹77
2. 2.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 30 sq cm (d) 24 sq cm
3. 3.What is 2/7 of 77? (a) 55 (b) 22 (c) 11 (d) 33
4. 4.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) 30 min (b) 36 min (c) 6 min (d) 216 min
5. 5.What is the value of the digit 9 in 62.398? (a) 9 (b) 0.009 (c) 0.09 (d) 0.9
6. 6.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 2 cm (c) 4 cm (d) 3 cm
7. 7.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 8 cm (d) 9 cm
8. 8.Which of these numbers is divisible by 11? (a) 5582 (b) 5588 (c) 5595 (d) 5601
9. 9.Which fraction is greater: 2/3 or 3/5? (a) 3/5 (b) 2/3 (c) They are equal
10. 10.A bag marked ₹1820 is sold at a 50% discount. What is its selling price? (a) ₹2730 (b) ₹910 (c) ₹1770 (d) ₹911
11. 11.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
12. 12.Every pair follows the same rule: 2 : 11, 7 : 16, 8 : 17. What is 5 : ? (a) 16 (b) 15 (c) 14 (d) 13
13. 13.If 4 notebooks cost ₹80, how much do 5 notebooks cost? (a) ₹81 (b) ₹100 (c) ₹400 (d) ₹120
14. 14.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 504 (b) 84 (c) 168 (d) 54
15. 15.What is the smallest number you must add to 178 to make it divisible by 5? (a) 1 (b) 4 (c) 3 (d) 2
16. 16.₹6500 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹6955 (b) ₹1365 (c) ₹7865 (d) ₹8320
17. 17.3.41 + 2.1 = ? (a) 5.61 (b) 5.51 (c) 5.41 (d) 3.62
18. 18.A shopkeeper buys a toy for ₹1000 and sells it for ₹1500. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
19. 19.Every pair follows the same rule: 2 : 12, 6 : 36, 8 : 48. What is 7 : ? (a) 42 (b) 17 (c) 41 (d) 43
20. 20.What is 1/6 of 24? (a) 4 (b) 5 (c) 8 (d) 20
21. 21.A bag marked ₹620 is sold at a 30% discount. What is its selling price? (a) ₹434 (b) ₹590 (c) ₹186 (d) ₹806
22. 22.₹4000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹4640 (b) ₹4960 (c) ₹640 (d) ₹4320
23. 23.What is the units digit of 7^50? (a) 3 (b) 7 (c) 9 (d) 1
24. 24.Every pair follows the same rule: 2 : 13, 3 : 16, 8 : 31. What is 7 : ? (a) 27 (b) 28 (c) 18 (d) 29
25. 25.Every pair follows the same rule: 2 : 15, 3 : 18, 4 : 21. What is 8 : ? (a) 21 (b) 33 (c) 34 (d) 32
26. 26.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 45 (b) 7 (c) 6 (d) 21
27. 27.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 13 (c) 12 (d) 24
28. 28.What is the value of the digit 7 in 65.417? (a) 7 (b) 0.07 (c) 0.007 (d) 0.7
29. 29.1/2 + 4/9 = ? (a) 1 (b) 17/18 (c) 8/9 (d) 5/11
30. 30.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 26 cm (c) 17 cm (d) 34 cm
31. 31.2/3 + 1/2 = ? (a) 1 (b) 4/3 (c) 7/6 (d) 3/5
32. 32.What is the smallest number you must add to 75 to make it divisible by 4? (a) 3 (b) 2 (c) 1
33. 33.If 9 kites cost ₹63, how much do 10 kites cost? (a) ₹630 (b) ₹70 (c) ₹64 (d) ₹77
34. 34.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 20 cm (d) 11 cm
35. 35.Today is Thursday. What day of the week will it be after 98 days? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
36. 36.A teacher has 15 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 15 (c) 9 (d) 3
37. 37.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 15% (b) 10% (c) 48% (d) 5%
38. 38.8.92 + 8.6 = ? (a) 17.52 (b) 17.42 (c) 17.62 (d) 9.78
39. 39.What is 75% of 160? (a) 1200 (b) 120 (c) 240 (d) 40
40. 40.If x/4 + 4 = 10, what is x? (a) 6 (b) 56 (c) 24 (d) 36

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