Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 996 · 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 average of 8 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 32 (b) 48 (c) 20 (d) 36
2. 2.A teacher has 48 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 12 (c) 60 (d) 48
3. 3.If 6 October is a Wednesday, what day of the week is 22 October? (a) Friday (b) Sunday (c) Thursday (d) Saturday
4. 4.9.04 + 3.7 = ? (a) 12.74 (b) 9.41 (c) 12.84 (d) 12.64
5. 5.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 85%
6. 6.If 30 October is a Friday, what day of the week is 1 November? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
7. 7.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 8 (b) 25 (c) 19 (d) 36
8. 8.If 9x + 5 = 59, what is x? (a) 54 (b) 6 (c) 7 (d) 5
9. 9.If 3 notebooks cost ₹39, how much do 4 notebooks cost? (a) ₹52 (b) ₹40 (c) ₹65 (d) ₹156
10. 10.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 34 cm (d) 17 cm
11. 11.If 13 March is a Sunday, what day of the week is 9 April? (a) Sunday (b) Monday (c) Saturday (d) Friday
12. 12.3.84 + 5.8 = ? (a) 9.54 (b) 9.64 (c) 4.42 (d) 9.74
13. 13.What is the value of the digit 4 in 29.834? (a) 4 (b) 0.4 (c) 0.004 (d) 0.04
14. 14.If 11 May is a Tuesday, what day of the week is 5 June? (a) Friday (b) Sunday (c) Saturday (d) Monday
15. 15.If 29 May is a Tuesday, what day of the week is 20 June? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
16. 16.What is the simple interest on ₹6000 at 11% per year for 4 years? (a) ₹2640 (b) ₹8640 (c) ₹3300 (d) ₹660
17. 17.A shopkeeper buys a toy for ₹500 and sells it for ₹375. What is his loss percent? (a) 20% (b) 26% (c) 25% (d) 30%
18. 18.1/2 + 1/2 = ? (a) 3/2 (b) 1/2 (c) 2 (d) 1
19. 19.What is 25% of 740? (a) 370 (b) 185 (c) 1850 (d) 555
20. 20.If 4x − 6 = 22, what is x? (a) 8 (b) 28 (c) 4 (d) 7
21. 21.What is the average of all the whole numbers from 44 to 56? (a) 50 (b) 12 (c) 51 (d) 6
22. 22.In how many years will ₹9500 earn ₹3040 simple interest at 8% per year? (a) 4 years (b) 8 years (c) 5 years (d) 3 years
23. 23.Every pair follows the same rule: 3 : 9, 4 : 14, 6 : 24. What is 5 : ? (a) 11 (b) 15 (c) 20 (d) 19
24. 24.A teacher has 4 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 4 (c) 6 (d) 2
25. 25.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 4 days (c) 15 days (d) 3 days
26. 26.If 14 December is a Sunday, what day of the week is 27 December? (a) Sunday (b) Friday (c) Monday (d) Saturday
27. 27.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 48 min (c) 560 min (d) 140 min
28. 28.What is the value of the digit 8 in 31.864? (a) 0.8 (b) 0.008 (c) 0.08 (d) 8
29. 29.Every pair follows the same rule: 5 : 12, 6 : 13, 8 : 15. What is 4 : ? (a) 13 (b) 10 (c) 11 (d) 12
30. 30.Which of these numbers is divisible by 9? (a) 2335 (b) 2341 (c) 2327 (d) 2331
31. 31.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
32. 32.If 7x + 30 = 65, what is x? (a) 35 (b) 6 (c) 4 (d) 5
33. 33.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 10 days (c) 9 days (d) 4 days
34. 34.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 19 days (d) 49 days
35. 35.Which fraction is greater: 10/11 or 4/5? (a) They are equal (b) 10/11 (c) 4/5
36. 36.In how many years will ₹1500 earn ₹420 simple interest at 7% per year? (a) 3 years (b) 4 years (c) 8 years (d) 5 years
37. 37.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 67 (b) 16 (c) 55 (d) 53
38. 38.If 1 August is a Sunday, what day of the week is 14 August? (a) Friday (b) Monday (c) Sunday (d) Saturday
39. 39.2.87 + 8.9 = ? (a) 11.87 (b) 3.76 (c) 11.77 (d) 11.67
40. 40.What is 60% of 640? (a) 3840 (b) 256 (c) 384 (d) 768

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