Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 479 · 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.Today is Wednesday. What day of the week will it be after 65 days? (a) Thursday (b) Saturday (c) Friday (d) Sunday
2. 2.If 2x + 8 = 26, what is x? (a) 17 (b) 9 (c) 18 (d) 10
3. 3.7.26 + 4.1 = ? (a) 7.67 (b) 11.26 (c) 11.36 (d) 11.46
4. 4.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
5. 5.What is the average of 23, 35, 11, 27 and 14? (a) 23 (b) 24 (c) 22 (d) 21
6. 6.What is the simple interest on ₹7000 at 2% per year for 3 years? (a) ₹7420 (b) ₹140 (c) ₹420 (d) ₹560
7. 7.What is the remainder when 164 is divided by 6? (a) 3 (b) 1 (c) 4 (d) 2
8. 8.What is the value of the digit 1 in 95.617? (a) 1 (b) 0.01 (c) 0.1 (d) 0.001
9. 9.Which fraction is greater: 7/9 or 7/8? (a) 7/9 (b) 7/8 (c) They are equal
10. 10.Which fraction is greater: 2/5 or 7/11? (a) 2/5 (b) 7/11 (c) They are equal
11. 11.What is the units digit of 3^15? (a) 7 (b) 3 (c) 9 (d) 1
12. 12.A bag marked ₹260 is sold at a 20% discount. What is its selling price? (a) ₹240 (b) ₹52 (c) ₹208 (d) ₹312
13. 13.If 2 pens cost ₹8, how much do 10 pens cost? (a) ₹40 (b) ₹16 (c) ₹44 (d) ₹80
14. 14.Which is the greatest: 0.471, 0.55, 0.5, 0.096? (a) 0.471 (b) 0.55 (c) 0.5 (d) 0.096
15. 15.If 2x − 2 = 4, what is x? (a) 1 (b) 4 (c) 6 (d) 3
16. 16.Today is Saturday. What day of the week will it be after 50 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
17. 17.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 65 (b) 34 (c) 43 (d) 12
18. 18.If 6 August is a Thursday, what day of the week is 14 August? (a) Thursday (b) Saturday (c) Sunday (d) Friday
19. 19.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 5 : ? (a) 35 (b) 30 (c) 19 (d) 25
20. 20.Today is Monday. What day of the week will it be after 47 days? (a) Monday (b) Saturday (c) Friday (d) Sunday
21. 21.The simple interest on ₹5500 for 2 years is ₹220. What is the rate per year? (a) 2% (b) 1% (c) 3% (d) 4%
22. 22.A shopkeeper buys a toy for ₹680 and sells it for ₹578. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 16%
23. 23.Two ribbons are 16 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 1 cm (c) 144 cm (d) 2 cm
24. 24.If 9x + 12 = 2x + 54, what is x? (a) 7 (b) 8 (c) 5 (d) 6
25. 25.What is the remainder when 301 is divided by 5? (a) 0 (b) 4 (c) 2 (d) 1
26. 26.If 5 notebooks cost ₹30, how much do 3 notebooks cost? (a) ₹28 (b) ₹18 (c) ₹24 (d) ₹90
27. 27.The simple interest on ₹4000 for 4 years is ₹1600. What is the rate per year? (a) 40% (b) 10% (c) 11% (d) 9%
28. 28.What is the value of the digit 3 in 43.597? (a) 0.3 (b) 30 (c) 0.03 (d) 3
29. 29.₹506 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹46 (b) ₹276 (c) ₹230 (d) ₹253
30. 30.Every pair follows the same rule: 2 : 5, 6 : 37, 9 : 82. What is 4 : ? (a) 17 (b) 18 (c) 16 (d) 7
31. 31.If 5x + 29 = 64, what is x? (a) 35 (b) 8 (c) 6 (d) 7
32. 32.What is the value of the digit 9 in 48.795? (a) 0.009 (b) 0.9 (c) 0.09 (d) 9
33. 33.A teacher has 21 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 7 (c) 28 (d) 21
34. 34.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 130 cm (c) 22 cm (d) 12 cm
35. 35.What is 5/7 of 56? (a) 40 (b) 16 (c) 8 (d) 48
36. 36.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
37. 37.Which of these numbers is divisible by 11? (a) 2270 (b) 2298 (c) 2277 (d) 2287
38. 38.₹108 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹72 (b) ₹108 (c) ₹54 (d) ₹36
39. 39.Which fraction is greater: 5/7 or 7/11? (a) They are equal (b) 7/11 (c) 5/7
40. 40.What is the value of the digit 1 in 38.127? (a) 1 (b) 0.001 (c) 0.1 (d) 0.01

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