Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 696 · 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. 1.2/8 + 1/6 = ? (a) 11/24 (b) 3/14 (c) 5/12 (d) 3/8
2. 2.If 3x + 2 = 38, what is x? (a) 12 (b) 11 (c) 13 (d) 36
3. 3.A bag marked ₹1840 is sold at a 50% discount. What is its selling price? (a) ₹1790 (b) ₹920 (c) ₹921 (d) ₹2760
4. 4.Which of these numbers is divisible by 3? (a) 176 (b) 177 (c) 178 (d) 181
5. 5.A shopkeeper buys a toy for ₹380 and sells it for ₹418. What is his profit percent? (a) 10% (b) 15% (c) 38% (d) 5%
6. 6.2.67 + 9.6 = ? (a) 3.63 (b) 12.27 (c) 12.17 (d) 12.37
7. 7.What is the units digit of 4^54? (a) 5 (b) 7 (c) 4 (d) 6
8. 8.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 190 cm (c) 22 cm (d) 12 cm
9. 9.If 9 notebooks cost ₹225, how much do 8 notebooks cost? (a) ₹200 (b) ₹1800 (c) ₹225 (d) ₹224
10. 10.A teacher has 20 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 20 (d) 8
11. 11.What is 40% of 60? (a) 240 (b) 36 (c) 24 (d) 48
12. 12.1/3 + 1/2 = ? (a) 2/5 (b) 1 (c) 2/3 (d) 5/6
13. 13.A bag marked ₹540 is sold at a 25% discount. What is its selling price? (a) ₹135 (b) ₹675 (c) ₹515 (d) ₹405
14. 14.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 88 sq cm (d) 77 sq cm
15. 15.What is 2/5 of 20? (a) 9 (b) 4 (c) 12 (d) 8
16. 16.If 4 March is a Sunday, what day of the week is 18 March? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
17. 17.If 6x − 53 = 19, what is x? (a) 13 (b) 11 (c) 12 (d) 72
18. 18.What is the remainder when 233 is divided by 3? (a) 0 (b) 1 (c) 2
19. 19.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 5%
20. 20.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 44 (b) 23 (c) 14 (d) 35
21. 21.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 24 cm
22. 22.If 3 December is a Monday, what day of the week is 13 December? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
23. 23.Two ribbons are 48 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) 48 cm (b) 8 cm (c) 4 cm (d) 336 cm
24. 24.What is the simple interest on ₹6000 at 8% per year for 2 years? (a) ₹1440 (b) ₹480 (c) ₹6960 (d) ₹960
25. 25.What is 30% of 120? (a) 72 (b) 84 (c) 360 (d) 36
26. 26.What is 4/9 of 108? (a) 12 (b) 48 (c) 49 (d) 60
27. 27.Two ribbons are 9 cm and 12 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) 36 cm (d) 3 cm
28. 28.If 4 December is a Wednesday, what day of the week is 19 December? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
29. 29.What is the average of all the whole numbers from 42 to 48? (a) 46 (b) 45 (c) 6 (d) 3
30. 30.Every pair follows the same rule: 4 : 10, 5 : 11, 7 : 13. What is 3 : ? (a) 8 (b) 10 (c) 9 (d) 11
31. 31.Every pair follows the same rule: 2 : 11, 3 : 16, 8 : 71. What is 4 : ? (a) 13 (b) 24 (c) 23 (d) 27
32. 32.A shopkeeper buys a toy for ₹280 and sells it for ₹392. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
33. 33.What is the value of the digit 3 in 83.217? (a) 0.3 (b) 0.03 (c) 3 (d) 30
34. 34.If 13 April is a Thursday, what day of the week is 8 May? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
35. 35.In how many years will ₹7500 earn ₹900 simple interest at 4% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
36. 36.9.61 + 2.5 = ? (a) 12.21 (b) 12.01 (c) 9.86 (d) 12.11
37. 37.Which fraction is greater: 2/3 or 3/4? (a) They are equal (b) 3/4 (c) 2/3
38. 38.In how many years will ₹3000 earn ₹900 simple interest at 6% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
39. 39.What is the simple interest on ₹9500 at 12% per year for 2 years? (a) ₹11780 (b) ₹3420 (c) ₹1140 (d) ₹2280
40. 40.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 46 (b) 59 (c) 31 (d) 18

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