Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 931 · 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 2 mangoes cost ₹38, how much do 9 mangoes cost? (a) ₹190 (b) ₹171 (c) ₹45 (d) ₹342
2. 2.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 10 days (c) 6 days (d) 16 days
3. 3.₹145 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹145 (b) ₹29 (c) ₹117 (d) ₹116
4. 4.Every pair follows the same rule: 2 : 9, 6 : 17, 8 : 21. What is 4 : ? (a) 12 (b) 14 (c) 11 (d) 13
5. 5.A bag marked ₹520 is sold at a 20% discount. What is its selling price? (a) ₹104 (b) ₹416 (c) ₹624 (d) ₹500
6. 6.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 5 (b) 21 (c) 11 (d) 15
7. 7.Every pair follows the same rule: 3 : 11, 7 : 51, 9 : 83. What is 8 : ? (a) 65 (b) 67 (c) 66 (d) 16
8. 8.What is the average of all the whole numbers from 48 to 74? (a) 26 (b) 62 (c) 61 (d) 13
9. 9.If 3x + 15 = 27, what is x? (a) 4 (b) 14 (c) 12 (d) 5
10. 10.If 3x − 5 = 1, what is x? (a) 6 (b) 3 (c) 2 (d) 1
11. 11.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 12 (b) 5 (c) 4 (d) 26
12. 12.If 3x − 19 = 8, what is x? (a) 9 (b) 10 (c) 8 (d) 27
13. 13.If 9 kites cost ₹36, how much do 10 kites cost? (a) ₹37 (b) ₹40 (c) ₹360 (d) ₹44
14. 14.If 5x − 14 = 41, what is x? (a) 12 (b) 55 (c) 10 (d) 11
15. 15.If 5x + 1 = x + 37, what is x? (a) 10 (b) 6 (c) 11 (d) 9
16. 16.Every pair follows the same rule: 3 : 15, 4 : 20, 8 : 40. What is 2 : ? (a) 9 (b) 11 (c) 10 (d) 14
17. 17.A teacher has 30 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 5 (c) 10 (d) 20
18. 18.If 3 notebooks cost ₹9, how much do 9 notebooks cost? (a) ₹15 (b) ₹27 (c) ₹30 (d) ₹81
19. 19.What is the units digit of 7^12? (a) 7 (b) 9 (c) 3 (d) 1
20. 20.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 15 (b) 39 (c) 42 (d) 51
21. 21.Two ribbons are 12 cm and 14 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) 84 cm (c) 2 cm (d) 12 cm
22. 22.Which is the smallest: 0.227, 0.073, 0.3, 0.32? (a) 0.227 (b) 0.073 (c) 0.3 (d) 0.32
23. 23.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 250 min (c) 50 min (d) 5 min
24. 24.Every pair follows the same rule: 3 : 13, 4 : 18, 8 : 38. What is 2 : ? (a) 9 (b) 8 (c) 7 (d) 12
25. 25.What is 4/9 of 18? (a) 10 (b) 2 (c) 9 (d) 8
26. 26.₹1500 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹1605 (b) ₹1920 (c) ₹2025 (d) ₹420
27. 27.1/7 + 1/3 = ? (a) 11/21 (b) 3/7 (c) 1/5 (d) 10/21
28. 28.Which of these numbers is divisible by 8? (a) 5783 (b) 5788 (c) 5798 (d) 5784
29. 29.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
30. 30.1.57 + 3.9 = ? (a) 5.37 (b) 5.57 (c) 5.47 (d) 1.96
31. 31.If 9x + 11 = 3x + 59, what is x? (a) 9 (b) 4 (c) 10 (d) 8
32. 32.If 2 May is a Tuesday, what day of the week is 18 May? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
33. 33.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 44 cm (c) 22 cm (d) 36 cm
34. 34.What is the simple interest on ₹9500 at 2% per year for 2 years? (a) ₹9880 (b) ₹570 (c) ₹190 (d) ₹380
35. 35.If 8x + 15 = 3x + 50, what is x? (a) 8 (b) 9 (c) 7 (d) 13
36. 36.If 7x + 18 = 3x + 26, what is x? (a) 3 (b) 4 (c) 2 (d) 11
37. 37.Every pair follows the same rule: 4 : 8, 6 : 12, 9 : 18. What is 3 : ? (a) 8 (b) 7 (c) 6 (d) 5
38. 38.What is the average of 38, 43, 25, 48, 24 and 26? (a) 35 (b) 33 (c) 34 (d) 36
39. 39.₹7500 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹9975 (b) ₹2475 (c) ₹10800 (d) ₹8325
40. 40.If 6x + 21 = 87, what is x? (a) 66 (b) 11 (c) 18 (d) 12

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