Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 322 · 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.If 11 April is a Thursday, what day of the week is 20 May? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
2. 2.If 13 August is a Wednesday, what day of the week is 27 August? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
3. 3.₹9500 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹2850 (b) ₹12920 (c) ₹10070 (d) ₹12350
4. 4.What is the simple interest on ₹6000 at 5% per year for 4 years? (a) ₹7200 (b) ₹1500 (c) ₹1200 (d) ₹300
5. 5.Every pair follows the same rule: 3 : 9, 6 : 36, 7 : 49. What is 5 : ? (a) 11 (b) 15 (c) 23 (d) 25
6. 6.If 2x + 24 = 38, what is x? (a) 14 (b) 8 (c) 7 (d) 31
7. 7.Which is the greatest: 0.65, 0.042, 0.6, 0.567? (a) 0.65 (b) 0.042 (c) 0.6 (d) 0.567
8. 8.If 6 notebooks cost ₹96, how much do 8 notebooks cost? (a) ₹144 (b) ₹128 (c) ₹98 (d) ₹768
9. 9.If 8x − 65 = 23, what is x? (a) 12 (b) 10 (c) 11 (d) 88
10. 10.What is the remainder when 163 is divided by 5? (a) 4 (b) 1 (c) 3 (d) 2
11. 11.9.69 + 2.5 = ? (a) 12.29 (b) 12.09 (c) 9.94 (d) 12.19
12. 12.What is the average of all the whole numbers from 53 to 61? (a) 4 (b) 8 (c) 58 (d) 57
13. 13.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 9 : ? (a) 36 (b) 21 (c) 75 (d) 81
14. 14.If 2x − 8 = 4, what is x? (a) 7 (b) 6 (c) 5 (d) 12
15. 15.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 20% (b) 15% (c) 52% (d) 25%
16. 16.If 3x − 14 = 19, what is x? (a) 12 (b) 11 (c) 10 (d) 33
17. 17.If 6 kites cost ₹138, how much do 9 kites cost? (a) ₹141 (b) ₹1242 (c) ₹230 (d) ₹207
18. 18.What is the value of the digit 5 in 35.281? (a) 50 (b) 0.05 (c) 0.5 (d) 5
19. 19.What is 2/5 of 40? (a) 16 (b) 24 (c) 8 (d) 17
20. 20.A bag marked ₹1420 is sold at a 30% discount. What is its selling price? (a) ₹1846 (b) ₹1390 (c) ₹426 (d) ₹994
21. 21.1/3 + 2/6 = ? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/2
22. 22.8.15 + 6.9 = ? (a) 8.84 (b) 14.95 (c) 15.05 (d) 15.15
23. 23.Two ribbons are 40 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 40 cm (b) 50 cm (c) 10 cm (d) 5 cm
24. 24.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹336 (b) ₹400 (c) ₹504 (d) ₹84
25. 25.If 9x + 15 = 114, what is x? (a) 99 (b) 10 (c) 12 (d) 11
26. 26.A teacher has 4 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 1 (c) 2 (d) 4
27. 27.A teacher has 10 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 15 (c) 10 (d) 1
28. 28.Which fraction is greater: 3/8 or 3/11? (a) 3/11 (b) They are equal (c) 3/8
29. 29.What is the simple interest on ₹6000 at 6% per year for 2 years? (a) ₹6720 (b) ₹720 (c) ₹1080 (d) ₹360
30. 30.If 3x − 2 = 7, what is x? (a) 3 (b) 2 (c) 4 (d) 9
31. 31.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 10 (c) 43 (d) 49
32. 32.Two ribbons are 12 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 3 cm (c) 18 cm (d) 12 cm
33. 33.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 18 days (b) 3 days (c) 4 days (d) 5 days
34. 34.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 4 cm (c) 5 cm (d) 8 cm
35. 35.4.91 + 4.1 = ? (a) 9.01 (b) 8.91 (c) 5.32 (d) 9.11
36. 36.Every pair follows the same rule: 4 : 15, 6 : 35, 9 : 80. What is 2 : ? (a) 4 (b) 2 (c) 13 (d) 3
37. 37.What is the smallest number you must add to 571 to make it divisible by 9? (a) 4 (b) 6 (c) 5 (d) 7
38. 38.If x/4 + 6 = 14, what is x? (a) 80 (b) 32 (c) 8 (d) 50
39. 39.Which of these numbers is divisible by 4? (a) 3257 (b) 3256 (c) 3263 (d) 3255
40. 40.If 4 mangoes cost ₹84, how much do 5 mangoes cost? (a) ₹85 (b) ₹420 (c) ₹105 (d) ₹126

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