Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 966 · 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.The simple interest on ₹7500 for 5 years is ₹750. What is the rate per year? (a) 10% (b) 3% (c) 1% (d) 2%
2. 2.What is the average of 49, 38, 62 and 59? (a) 53 (b) 52 (c) 51 (d) 54
3. 3.Which fraction is greater: 2/11 or 2/5? (a) 2/11 (b) They are equal (c) 2/5
4. 4.What is 40% of 560? (a) 448 (b) 336 (c) 224 (d) 2240
5. 5.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) 40 (b) 10 (c) 200 (d) 5
6. 6.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 20 cm (d) 12 cm
7. 7.Which of these numbers is divisible by 4? (a) 1816 (b) 1821 (c) 1817 (d) 1815
8. 8.What is the smallest number you must add to 224 to make it divisible by 3? (a) 2 (b) 1
9. 9.₹1500 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹1590 (b) ₹360 (c) ₹1950 (d) ₹1860
10. 10.What is the value of the digit 9 in 13.972? (a) 0.009 (b) 9 (c) 0.09 (d) 0.9
11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
12. 12.What is the smallest number you must add to 75 to make it divisible by 4? (a) 2 (b) 3 (c) 1
13. 13.Every pair follows the same rule: 3 : 20, 4 : 21, 7 : 24. What is 5 : ? (a) 24 (b) 21 (c) 22 (d) 23
14. 14.Which fraction is greater: 1/5 or 1/8? (a) 1/5 (b) 1/8 (c) They are equal
15. 15.1/3 + 4/5 = ? (a) 5/8 (b) 16/15 (c) 6/5 (d) 17/15
16. 16.What is the units digit of 4^31? (a) 5 (b) 3 (c) 6 (d) 4
17. 17.If 7x + 1 = 2x + 36, what is x? (a) 9 (b) 6 (c) 7 (d) 8
18. 18.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm
19. 19.What is the smallest number you must add to 170 to make it divisible by 9? (a) 1 (b) 8 (c) 2 (d) 3
20. 20.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
21. 21.A teacher has 15 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 5 (c) 15 (d) 1
22. 22.What is the value of the digit 8 in 31.782? (a) 0.008 (b) 0.8 (c) 0.08 (d) 8
23. 23.If 4 notebooks cost ₹56, how much do 6 notebooks cost? (a) ₹84 (b) ₹98 (c) ₹58 (d) ₹336
24. 24.A teacher has 6 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 1 (c) 6 (d) 4
25. 25.If 7 mangoes cost ₹77, how much do 10 mangoes cost? (a) ₹121 (b) ₹770 (c) ₹80 (d) ₹110
26. 26.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 750 min (c) 55 min (d) 150 min
27. 27.If 8x + 11 = 4x + 59, what is x? (a) 13 (b) 12 (c) 14 (d) 4
28. 28.A bag marked ₹1220 is sold at a 40% discount. What is its selling price? (a) ₹732 (b) ₹1708 (c) ₹488 (d) ₹1180
29. 29.9.72 + 6.5 = ? (a) 10.37 (b) 16.32 (c) 16.22 (d) 16.12
30. 30.What is the remainder when 501 is divided by 11? (a) 6 (b) 7 (c) 8 (d) 5
31. 31.What is the value of the digit 1 in 48.613? (a) 0.1 (b) 0.01 (c) 0.001 (d) 1
32. 32.What is the average of all the whole numbers from 22 to 60? (a) 42 (b) 19 (c) 38 (d) 41
33. 33.Which is the greatest: 0.038, 0.3, 0.39, 0.295? (a) 0.038 (b) 0.3 (c) 0.39 (d) 0.295
34. 34.Two ribbons are 9 cm and 21 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) 9 cm (c) 12 cm (d) 3 cm
35. 35.₹405 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹361 (b) ₹45 (c) ₹405 (d) ₹360
36. 36.If 5x + 15 = x + 31, what is x? (a) 6 (b) 5 (c) 4 (d) 3
37. 37.What is the average of 35, 31, 56, 46 and 42? (a) 42 (b) 43 (c) 44 (d) 41
38. 38.If 2x + 7 = 11, what is x? (a) 4 (b) 2 (c) 3 (d) 9
39. 39.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 10% (b) 35% (c) 5% (d) 6%
40. 40.What is the remainder when 186 is divided by 7? (a) 6 (b) 3 (c) 4 (d) 5

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