Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 178 · 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.Every pair follows the same rule: 3 : 10, 5 : 26, 8 : 65. What is 9 : ? (a) 78 (b) 82 (c) 16 (d) 83
2. 2.3 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 13 days (d) 9 days
3. 3.A teacher has 12 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 18 (c) 3 (d) 6
4. 4.What is the simple interest on ₹9000 at 3% per year for 4 years? (a) ₹1080 (b) ₹270 (c) ₹10080 (d) ₹1350
5. 5.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 42 (c) 84 (d) 20
6. 6.If 8x + 5 = 61, what is x? (a) 6 (b) 7 (c) 8 (d) 56
7. 7.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 43% (b) 6% (c) 5% (d) 10%
8. 8.What is the average of 75, 86, 86, 88, 79 and 60? (a) 79 (b) 80 (c) 78 (d) 81
9. 9.₹4500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹4905 (b) ₹5040 (c) ₹4635 (d) ₹405
10. 10.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 48 (b) 14 (c) 24 (d) 25
11. 11.Which is the greatest: 0.34, 0.3, 0.015, 0.228? (a) 0.34 (b) 0.3 (c) 0.015 (d) 0.228
12. 12.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 46 (b) 16 (c) 25 (d) 37
13. 13.If 9 mangoes cost ₹153, how much do 11 mangoes cost? (a) ₹204 (b) ₹1683 (c) ₹155 (d) ₹187
14. 14.Today is Saturday. What day of the week will it be after 93 days? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
15. 15.If 7 pens cost ₹56, how much do 3 pens cost? (a) ₹32 (b) ₹168 (c) ₹52 (d) ₹24
16. 16.What is the average of all the whole numbers from 57 to 83? (a) 70 (b) 13 (c) 71 (d) 26
17. 17.If 3 mangoes cost ₹12, how much do 4 mangoes cost? (a) ₹48 (b) ₹20 (c) ₹16 (d) ₹13
18. 18.What is the simple interest on ₹8500 at 11% per year for 3 years? (a) ₹2805 (b) ₹11305 (c) ₹3740 (d) ₹935
19. 19.Which fraction is greater: 1/5 or 5/8? (a) 5/8 (b) 1/5 (c) They are equal
20. 20.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 504 (b) 168 (c) 54 (d) 84
21. 21.If 3 mangoes cost ₹72, how much do 8 mangoes cost? (a) ₹192 (b) ₹77 (c) ₹576 (d) ₹216
22. 22.What is the simple interest on ₹7000 at 11% per year for 5 years? (a) ₹10850 (b) ₹770 (c) ₹4620 (d) ₹3850
23. 23.Two ribbons are 77 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 22 cm (c) 77 cm (d) 1 cm
24. 24.3.49 + 4.6 = ? (a) 3.95 (b) 7.99 (c) 8.19 (d) 8.09
25. 25.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 13 days (c) 3 days (d) 27 days
26. 26.What is the smallest number you must add to 69 to make it divisible by 4? (a) 2 (b) 1 (c) 3
27. 27.Two ribbons are 48 cm and 60 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) 12 cm (c) 240 cm (d) 48 cm
28. 28.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 10 min (c) 2 min (d) 12 min
29. 29.If 8x − 26 = 54, what is x? (a) 9 (b) 10 (c) 80 (d) 11
30. 30.If 5 mangoes cost ₹90, how much do 7 mangoes cost? (a) ₹92 (b) ₹144 (c) ₹630 (d) ₹126
31. 31.What is 1/3 of 12? (a) 3 (b) 5 (c) 4 (d) 8
32. 32.If 9x + 2 = 137, what is x? (a) 15 (b) 16 (c) 14 (d) 135
33. 33.If 9x + 21 = 66, what is x? (a) 5 (b) 45 (c) 6 (d) 4
34. 34.Two ribbons are 72 cm and 84 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) 12 cm (c) 504 cm (d) 72 cm
35. 35.If 3x + 17 = x + 39, what is x? (a) 12 (b) 28 (c) 13 (d) 11
36. 36.1/2 + 1/4 = ? (a) 1/3 (b) 1 (c) 3/4 (d) 1/2
37. 37.If 4x − 4 = 4, what is x? (a) 1 (b) 2 (c) 8 (d) 3
38. 38.Which fraction is greater: 1/3 or 1/5? (a) 1/5 (b) They are equal (c) 1/3
39. 39.9 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 12 days (b) 10 days (c) 11 days (d) 13 days
40. 40.Two ribbons are 25 cm and 40 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) 25 cm (c) 5 cm (d) 15 cm

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad