Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 693 · 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.What is the remainder when 58 is divided by 3? (a) 0 (b) 1 (c) 2
2. 2.A bag marked ₹1980 is sold at a 10% discount. What is its selling price? (a) ₹198 (b) ₹2178 (c) ₹1970 (d) ₹1782
3. 3.What is 1/4 of 16? (a) 5 (b) 8 (c) 4 (d) 12
4. 4.2/3 + 1/4 = ? (a) 1 (b) 3/7 (c) 5/6 (d) 11/12
5. 5.What is 2/3 of 21? (a) 14 (b) 7 (c) 15 (d) 21
6. 6.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 1 day (b) 13 days (c) 21 days (d) 22 days
7. 7.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 17 (b) 16 (c) 22 (d) 45
8. 8.A bag marked ₹1020 is sold at a 20% discount. What is its selling price? (a) ₹816 (b) ₹1224 (c) ₹1000 (d) ₹204
9. 9.What is the value of the digit 3 in 63.429? (a) 0.03 (b) 3 (c) 0.3 (d) 30
10. 10.2/8 + 1/2 = ? (a) 5/8 (b) 7/8 (c) 3/4 (d) 3/10
11. 11.Which is the smallest: 0.8, 0.733, 0.84, 0.013? (a) 0.8 (b) 0.733 (c) 0.84 (d) 0.013
12. 12.If 2x + 5 = 9, what is x? (a) 4 (b) 2 (c) 7 (d) 3
13. 13.A bag marked ₹1580 is sold at a 40% discount. What is its selling price? (a) ₹632 (b) ₹2212 (c) ₹1540 (d) ₹948
14. 14.If x/4 + 2 = 6, what is x? (a) 4 (b) 22 (c) 32 (d) 16
15. 15.If 5x − 21 = 54, what is x? (a) 14 (b) 16 (c) 15 (d) 75
16. 16.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 57 (b) 67 (c) 55 (d) 14
17. 17.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 5 min (c) 700 min (d) 140 min
18. 18.What is the value of the digit 9 in 71.932? (a) 9 (b) 0.009 (c) 0.09 (d) 0.9
19. 19.A bag marked ₹840 is sold at a 20% discount. What is its selling price? (a) ₹1008 (b) ₹672 (c) ₹820 (d) ₹168
20. 20.If 3x + 29 = 53, what is x? (a) 8 (b) 7 (c) 9 (d) 24
21. 21.If 4 March is a Thursday, what day of the week is 16 March? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
22. 22.₹456 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹228 (b) ₹190 (c) ₹266 (d) ₹38
23. 23.What is the average of all the whole numbers from 19 to 31? (a) 12 (b) 25 (c) 6 (d) 26
24. 24.3.91 + 4.9 = ? (a) 8.81 (b) 4.4 (c) 8.71 (d) 8.91
25. 25.What is the smallest number you must add to 46 to make it divisible by 3? (a) 2 (b) 1
26. 26.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
27. 27.If 13 September is a Monday, what day of the week is 7 October? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
28. 28.A shopkeeper buys a toy for ₹800 and sells it for ₹1040. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
29. 29.What is the simple interest on ₹8000 at 11% per year for 5 years? (a) ₹880 (b) ₹4400 (c) ₹12400 (d) ₹5280
30. 30.Two ribbons are 14 cm and 49 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) 7 cm (c) 14 cm (d) 35 cm
31. 31.If 4x + 20 = 56, what is x? (a) 10 (b) 9 (c) 36 (d) 19
32. 32.Every pair follows the same rule: 3 : 27, 6 : 54, 9 : 81. What is 2 : ? (a) 19 (b) 18 (c) 26 (d) 17
33. 33.₹234 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹182 (b) ₹52 (c) ₹117 (d) ₹26
34. 34.If x/2 + 14 = 26, what is x? (a) 12 (b) 24 (c) 38 (d) 80
35. 35.A shopkeeper buys a toy for ₹700 and sells it for ₹595. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 16%
36. 36.Today is Thursday. What day of the week will it be after 100 days? (a) Friday (b) Sunday (c) Monday (d) Saturday
37. 37.A shopkeeper buys a toy for ₹360 and sells it for ₹396. What is his profit percent? (a) 10% (b) 5% (c) 36% (d) 15%
38. 38.What is the average of 24, 30, 26 and 60? (a) 34 (b) 37 (c) 36 (d) 35
39. 39.What is 25% of 80? (a) 60 (b) 200 (c) 20 (d) 40
40. 40.₹322 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹23 (b) ₹207 (c) ₹115 (d) ₹161

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