Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 405 · 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 smallest number you must add to 337 to make it divisible by 7? (a) 6 (b) 1 (c) 4 (d) 5
2. 2.What is the average of 32, 48, 44 and 56? (a) 46 (b) 60 (c) 45 (d) 44
3. 3.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 48 (b) 20 (c) 96 (d) 24
4. 4.If 3 December is a Sunday, what day of the week is 18 December? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
5. 5.If 8x − 20 = 12, what is x? (a) 4 (b) 5 (c) 3 (d) 32
6. 6.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 28 cm (d) 18 cm
7. 7.What is the remainder when 102 is divided by 4? (a) 0 (b) 3 (c) 1 (d) 2
8. 8.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 4 days (d) 5 days
9. 9.What is the smallest number you must add to 393 to make it divisible by 7? (a) 1 (b) 6 (c) 5 (d) 4
10. 10.₹4000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹5080 (b) ₹720 (c) ₹4720 (d) ₹4360
11. 11.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
12. 12.Two ribbons are 16 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 12 cm (c) 16 cm (d) 4 cm
13. 13.A shopkeeper buys a toy for ₹380 and sells it for ₹532. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
14. 14.2/6 + 1/2 = ? (a) 5/6 (b) 2/3 (c) 3/8 (d) 1
15. 15.What is the simple interest on ₹4500 at 6% per year for 2 years? (a) ₹810 (b) ₹270 (c) ₹5040 (d) ₹540
16. 16.What is the value of the digit 3 in 24.531? (a) 0.003 (b) 0.03 (c) 0.3 (d) 3
17. 17.2.27 + 8.8 = ? (a) 11.07 (b) 3.15 (c) 11.17 (d) 10.97
18. 18.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 11 cm (d) 20 cm
19. 19.Which is the greatest: 0.356, 0.4, 0.42, 0.033? (a) 0.356 (b) 0.4 (c) 0.42 (d) 0.033
20. 20.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 38 cm (d) 3 cm
21. 21.In how many years will ₹7500 earn ₹2025 simple interest at 9% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
22. 22.If 6 mangoes cost ₹60, how much do 3 mangoes cost? (a) ₹30 (b) ₹180 (c) ₹57 (d) ₹40
23. 23.What is 25% of 380? (a) 285 (b) 190 (c) 950 (d) 95
24. 24.Which of these numbers is divisible by 3? (a) 1760 (b) 1755 (c) 1756 (d) 1754
25. 25.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 14 cm (c) 8 cm (d) 7 cm
26. 26.Today is Monday. What day of the week will it be after 15 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
27. 27.What is 25% of 940? (a) 235 (b) 705 (c) 2350 (d) 470
28. 28.A shopkeeper buys a toy for ₹120 and sells it for ₹144. What is his profit percent? (a) 24% (b) 15% (c) 25% (d) 20%
29. 29.What is the value of the digit 9 in 52.194? (a) 0.9 (b) 9 (c) 0.009 (d) 0.09
30. 30.A shopkeeper buys a toy for ₹120 and sells it for ₹132. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 12%
31. 31.2/3 + 4/8 = ? (a) 6/11 (b) 29/24 (c) 7/6 (d) 9/8
32. 32.Which is the smallest: 0.8, 0.071, 0.757, 0.83? (a) 0.8 (b) 0.071 (c) 0.757 (d) 0.83
33. 33.What is the value of the digit 5 in 39.527? (a) 5 (b) 0.5 (c) 0.05 (d) 0.005
34. 34.What is the average of all the whole numbers from 37 to 55? (a) 47 (b) 9 (c) 18 (d) 46
35. 35.2/3 + 6/7 = ? (a) 11/7 (b) 4/5 (c) 31/21 (d) 32/21
36. 36.Every pair follows the same rule: 5 : 32, 7 : 56, 8 : 71. What is 4 : ? (a) 24 (b) 31 (c) 11 (d) 23
37. 37.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹27 (b) ₹45 (c) ₹9 (d) ₹36
38. 38.In how many years will ₹5500 earn ₹990 simple interest at 6% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
39. 39.What is the remainder when 85 is divided by 6? (a) 5 (b) 2 (c) 0 (d) 1
40. 40.If 7 notebooks cost ₹147, how much do 9 notebooks cost? (a) ₹1323 (b) ₹189 (c) ₹149 (d) ₹210

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