Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 644 · 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 ₹480 and sells it for ₹504. What is his profit percent? (a) 24% (b) 5% (c) 10% (d) 6%
2. 2.What is the simple interest on ₹9500 at 3% per year for 3 years? (a) ₹855 (b) ₹10355 (c) ₹285 (d) ₹1140
3. 3.If 14 May is a Sunday, what day of the week is 24 May? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
4. 4.What is the simple interest on ₹2000 at 2% per year for 4 years? (a) ₹40 (b) ₹200 (c) ₹160 (d) ₹2160
5. 5.Every pair follows the same rule: 4 : 12, 6 : 18, 7 : 21. What is 9 : ? (a) 28 (b) 17 (c) 26 (d) 27
6. 6.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 12 (b) 24 (c) 10 (d) 13
7. 7.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 60 (b) 180 (c) 120 (d) 27
8. 8.Every pair follows the same rule: 6 : 15, 7 : 16, 8 : 17. What is 4 : ? (a) 13 (b) 15 (c) 14 (d) 12
9. 9.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 28 cm (d) 14 cm
10. 10.Which of these numbers is divisible by 9? (a) 5329 (b) 5337 (c) 5351 (d) 5338
11. 11.6.18 + 5.8 = ? (a) 11.98 (b) 11.88 (c) 6.76 (d) 12.08
12. 12.If 9 July is a Sunday, what day of the week is 19 July? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
13. 13.What is the average of all the whole numbers from 49 to 83? (a) 34 (b) 17 (c) 67 (d) 66
14. 14.What is the units digit of 2^30? (a) 4 (b) 6 (c) 8 (d) 2
15. 15.What is the units digit of 3^53? (a) 1 (b) 3 (c) 9 (d) 7
16. 16.What is the smallest number you must add to 209 to make it divisible by 4? (a) 3 (b) 1 (c) 2
17. 17.Today is Friday. What day of the week will it be after 99 days? (a) Sunday (b) Friday (c) Monday (d) Saturday
18. 18.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 12 cm (d) 20 cm
19. 19.What is the simple interest on ₹5500 at 11% per year for 2 years? (a) ₹605 (b) ₹1210 (c) ₹6710 (d) ₹1815
20. 20.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 22 cm (c) 190 cm (d) 12 cm
21. 21.What is the value of the digit 7 in 71.396? (a) 0.7 (b) 7 (c) 0.07 (d) 70
22. 22.A bag marked ₹200 is sold at a 25% discount. What is its selling price? (a) ₹250 (b) ₹50 (c) ₹175 (d) ₹150
23. 23.What is the value of the digit 2 in 62.918? (a) 0.2 (b) 20 (c) 2 (d) 0.02
24. 24.Every pair follows the same rule: 5 : 22, 7 : 24, 9 : 26. What is 2 : ? (a) 20 (b) 19 (c) 21 (d) 18
25. 25.Every pair follows the same rule: 5 : 24, 7 : 26, 9 : 28. What is 2 : ? (a) 21 (b) 20 (c) 22 (d) 23
26. 26.Which of these numbers is divisible by 11? (a) 2278 (b) 2266 (c) 2276 (d) 2259
27. 27.Today is Friday. What day of the week will it be after 17 days? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
28. 28.A shopkeeper buys a toy for ₹200 and sells it for ₹240. What is his profit percent? (a) 25% (b) 20% (c) 40% (d) 15%
29. 29.A teacher has 33 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 33 (c) 11 (d) 55
30. 30.Which fraction is greater: 1/4 or 4/9? (a) They are equal (b) 4/9 (c) 1/4
31. 31.A bag marked ₹1680 is sold at a 40% discount. What is its selling price? (a) ₹672 (b) ₹2352 (c) ₹1640 (d) ₹1008
32. 32.Which is the smallest: 0.53, 0.5, 0.075, 0.484? (a) 0.53 (b) 0.5 (c) 0.075 (d) 0.484
33. 33.A bag marked ₹1560 is sold at a 40% discount. What is its selling price? (a) ₹624 (b) ₹936 (c) ₹2184 (d) ₹1520
34. 34.Every pair follows the same rule: 2 : 6, 6 : 18, 7 : 21. What is 4 : ? (a) 8 (b) 12 (c) 11 (d) 13
35. 35.The simple interest on ₹5000 for 3 years is ₹1350. What is the rate per year? (a) 27% (b) 10% (c) 8% (d) 9%
36. 36.What is the average of all the whole numbers from 9 to 35? (a) 23 (b) 13 (c) 22 (d) 26
37. 37.What is the average of all the whole numbers from 7 to 13? (a) 10 (b) 11 (c) 6 (d) 3
38. 38.What is 60% of 340? (a) 2040 (b) 408 (c) 136 (d) 204
39. 39.What is the units digit of 3^13? (a) 7 (b) 9 (c) 3 (d) 1
40. 40.If 2x − 22 = 4, what is x? (a) 26 (b) 12 (c) 14 (d) 13

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