Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 412 · 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.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 20 (b) 59 (c) 77 (d) 61
2. 2.Which of these numbers is divisible by 8? (a) 576 (b) 589 (c) 569 (d) 581
3. 3.Every pair follows the same rule: 2 : 2, 3 : 6, 4 : 10. What is 5 : ? (a) 13 (b) 14 (c) 5 (d) 15
4. 4.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 65 (b) 4 (c) 64 (d) 76
5. 5.If 24 January is a Sunday, what day of the week is 3 February? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
6. 6.If x/3 + 9 = 13, what is x? (a) 30 (b) 66 (c) 4 (d) 12
7. 7.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 65 cm (c) 7 cm (d) 12 cm
8. 8.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 28 (b) 1 (c) 13 (d) 2
9. 9.If 3x + 20 = 35, what is x? (a) 15 (b) 4 (c) 6 (d) 5
10. 10.Two ribbons are 20 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 30 cm (c) 5 cm (d) 10 cm
11. 11.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 35% (b) 40% (c) 48% (d) 45%
12. 12.What is the units digit of 2^43? (a) 2 (b) 8 (c) 4 (d) 6
13. 13.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 70 min (c) 45 min (d) 5 min
14. 14.What is 1/3 of 6? (a) 4 (b) 3 (c) 2 (d) 1
15. 15.A bag marked ₹1560 is sold at a 25% discount. What is its selling price? (a) ₹1170 (b) ₹1950 (c) ₹390 (d) ₹1535
16. 16.₹80 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹80 (b) ₹8 (c) ₹40 (d) ₹72
17. 17.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 2 : ? (a) 9 (b) 7 (c) 8 (d) 2
18. 18.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 25% (b) 26% (c) 30% (d) 20%
19. 19.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 74 (b) 38 (c) 42 (d) 44
20. 20.Every pair follows the same rule: 3 : 12, 4 : 16, 8 : 32. What is 6 : ? (a) 24 (b) 15 (c) 23 (d) 25
21. 21.In how many years will ₹5500 earn ₹1815 simple interest at 11% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
22. 22.₹306 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹306 (b) ₹153 (c) ₹34 (d) ₹272
23. 23.If 5x − 5 = 40, what is x? (a) 45 (b) 7 (c) 9 (d) 10
24. 24.Which of these numbers is divisible by 6? (a) 2559 (b) 2549 (c) 2550 (d) 2553
25. 25.What is 7/8 of 64? (a) 64 (b) 8 (c) 57 (d) 56
26. 26.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) 36 (b) 32 (c) 48 (d) 20
27. 27.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 21 (b) 14 (c) 40 (d) 20
28. 28.Every pair follows the same rule: 2 : 6, 6 : 38, 8 : 66. What is 9 : ? (a) 83 (b) 80 (c) 13 (d) 27
29. 29.The simple interest on ₹1000 for 5 years is ₹300. What is the rate per year? (a) 30% (b) 7% (c) 5% (d) 6%
30. 30.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 13 days (c) 9 days (d) 15 days
31. 31.What is the units digit of 7^45? (a) 3 (b) 1 (c) 9 (d) 7
32. 32.Which of these numbers is divisible by 6? (a) 3351 (b) 3339 (c) 3343 (d) 3342
33. 33.If x/6 + 2 = 11, what is x? (a) 78 (b) 9 (c) 64 (d) 54
34. 34.If 2 mangoes cost ₹12, how much do 4 mangoes cost? (a) ₹48 (b) ₹14 (c) ₹24 (d) ₹30
35. 35.If 7 August is a Wednesday, what day of the week is 20 August? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
36. 36.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 15 cm (c) 5 cm (d) 4 cm
37. 37.If x/5 + 10 = 22, what is x? (a) 12 (b) 100 (c) 160 (d) 60
38. 38.Every pair follows the same rule: 3 : 13, 4 : 14, 5 : 15. What is 8 : ? (a) 19 (b) 18 (c) 17 (d) 20
39. 39.A shopkeeper buys a toy for ₹760 and sells it for ₹532. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
40. 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm

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