Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 50 · 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 rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 190 cm
2. 2.If 7 kites cost ₹140, how much do 3 kites cost? (a) ₹420 (b) ₹80 (c) ₹136 (d) ₹60
3. 3.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
4. 4.If 5 pens cost ₹50, how much do 6 pens cost? (a) ₹51 (b) ₹300 (c) ₹70 (d) ₹60
5. 5.The simple interest on ₹2500 for 2 years is ₹350. What is the rate per year? (a) 6% (b) 14% (c) 7% (d) 8%
6. 6.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 36 cm (d) 56 cm
7. 7.Every pair follows the same rule: 2 : 4, 5 : 10, 6 : 12. What is 7 : ? (a) 13 (b) 9 (c) 15 (d) 14
8. 8.If 2 notebooks cost ₹16, how much do 9 notebooks cost? (a) ₹72 (b) ₹80 (c) ₹144 (d) ₹23
9. 9.If 7 notebooks cost ₹168, how much do 10 notebooks cost? (a) ₹1680 (b) ₹264 (c) ₹240 (d) ₹171
10. 10.What is the remainder when 238 is divided by 12? (a) 9 (b) 11 (c) 10 (d) 2
11. 11.What is 25% of 200? (a) 50 (b) 150 (c) 100 (d) 500
12. 12.If 16 April is a Friday, what day of the week is 5 May? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
13. 13.If 9 July is a Sunday, what day of the week is 20 July? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
14. 14.3.56 + 8.1 = ? (a) 11.66 (b) 11.56 (c) 4.37 (d) 11.76
15. 15.If x/3 + 2 = 12, what is x? (a) 34 (b) 10 (c) 30 (d) 42
16. 16.What is the remainder when 325 is divided by 9? (a) 8 (b) 2 (c) 0 (d) 1
17. 17.A shopkeeper buys a toy for ₹880 and sells it for ₹924. What is his profit percent? (a) 10% (b) 44% (c) 5% (d) 6%
18. 18.What is the smallest number you must add to 307 to make it divisible by 11? (a) 1 (b) 2 (c) 3 (d) 10
19. 19.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 25% (b) 20% (c) 26% (d) 30%
20. 20.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
21. 21.What is the value of the digit 3 in 64.231? (a) 0.3 (b) 0.03 (c) 3 (d) 0.003
22. 22.A teacher has 40 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 200 (c) 40 (d) 5
23. 23.A bag marked ₹1460 is sold at a 30% discount. What is its selling price? (a) ₹1898 (b) ₹1430 (c) ₹438 (d) ₹1022
24. 24.6.81 + 6.2 = ? (a) 12.91 (b) 13.11 (c) 13.01 (d) 7.43
25. 25.Two ribbons are 49 cm and 56 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) 392 cm (c) 49 cm (d) 7 cm
26. 26.What is 60% of 60? (a) 360 (b) 36 (c) 24 (d) 72
27. 27.If 6x + 3 = 57, what is x? (a) 54 (b) 8 (c) 9 (d) 10
28. 28.₹369 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹328 (b) ₹287 (c) ₹82 (d) ₹41
29. 29.₹220 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹110 (b) ₹20 (c) ₹180 (d) ₹40
30. 30.What is 3/8 of 32? (a) 16 (b) 4 (c) 12 (d) 20
31. 31.A teacher has 55 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 22 (b) 55 (c) 1 (d) 11
32. 32.A teacher has 33 pencils and 44 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 132 (c) 11 (d) 1
33. 33.Today is Sunday. What day of the week will it be after 81 days? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
34. 34.What is 40% of 680? (a) 408 (b) 544 (c) 2720 (d) 272
35. 35.If 8x − 61 = 3, what is x? (a) 64 (b) 8 (c) 7 (d) 9
36. 36.7.31 + 6.1 = ? (a) 13.31 (b) 13.51 (c) 13.41 (d) 7.92
37. 37.What is the simple interest on ₹5000 at 3% per year for 5 years? (a) ₹5750 (b) ₹750 (c) ₹150 (d) ₹900
38. 38.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 16 (b) 52 (c) 41 (d) 27
39. 39.7.89 + 8.1 = ? (a) 16.09 (b) 8.7 (c) 15.89 (d) 15.99
40. 40.5 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 11 days (c) 10 days (d) 7 days

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