Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 231 · 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 7x + 6 = 3x + 22, what is x? (a) 4 (b) 7 (c) 5 (d) 6
2. 2.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 32 min (b) 240 min (c) 4 min (d) 60 min
3. 3.₹7000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹8470 (b) ₹7490 (c) ₹7980 (d) ₹980
4. 4.What is the average of 37, 33, 23 and 3? (a) 23 (b) 25 (c) 24 (d) 32
5. 5.What is the units digit of 4^42? (a) 6 (b) 7 (c) 4 (d) 5
6. 6.A shopkeeper buys a toy for ₹200 and sells it for ₹230. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 30%
7. 7.₹225 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹150 (b) ₹25 (c) ₹125 (d) ₹100
8. 8.Every pair follows the same rule: 2 : 6, 6 : 38, 7 : 51. What is 9 : ? (a) 77 (b) 83 (c) 27 (d) 13
9. 9.Two ribbons are 22 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) 77 cm (b) 1 cm (c) 11 cm (d) 22 cm
10. 10.What is the average of 70, 53, 70, 58, 79 and 60? (a) 65 (b) 66 (c) 64 (d) 78
11. 11.Which fraction is greater: 1/3 or 1/11? (a) 1/3 (b) 1/11 (c) They are equal
12. 12.What is the average of 47, 53, 45 and 35? (a) 45 (b) 44 (c) 46 (d) 60
13. 13.What is the simple interest on ₹10000 at 7% per year for 3 years? (a) ₹2100 (b) ₹2800 (c) ₹700 (d) ₹12100
14. 14.Which fraction is greater: 1/10 or 2/5? (a) They are equal (b) 2/5 (c) 1/10
15. 15.Every pair follows the same rule: 4 : 15, 5 : 24, 7 : 48. What is 2 : ? (a) 13 (b) 4 (c) 3 (d) 2
16. 16.If 4x − 13 = 3, what is x? (a) 4 (b) 16 (c) 3 (d) 5
17. 17.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 35 cm (c) 46 cm (d) 23 cm
18. 18.If 3x + 20 = x + 22, what is x? (a) 21 (b) 3 (c) 2 (d) 1
19. 19.Which of these numbers is divisible by 8? (a) 5195 (b) 5203 (c) 5210 (d) 5200
20. 20.2.33 + 8.3 = ? (a) 3.16 (b) 10.53 (c) 10.63 (d) 10.73
21. 21.Which is the smallest: 0.4, 0.395, 0.46, 0.058? (a) 0.4 (b) 0.395 (c) 0.46 (d) 0.058
22. 22.What is the smallest number you must add to 279 to make it divisible by 4? (a) 1 (b) 3 (c) 2
23. 23.If 6x + 17 = 41, what is x? (a) 3 (b) 5 (c) 4 (d) 24
24. 24.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 80 sq cm (c) 96 sq cm (d) 42 sq cm
25. 25.₹200 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹100 (b) ₹200 (c) ₹160 (d) ₹40
26. 26.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 42 cm (b) 80 cm (c) 21 cm (d) 37 cm
27. 27.What is 15% of 760? (a) 1140 (b) 646 (c) 114 (d) 228
28. 28.Two ribbons are 12 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 4 cm (c) 12 cm (d) 2 cm
29. 29.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 43 (b) 49 (c) 10 (d) 41
30. 30.Which is the smallest: 0.78, 0.015, 0.7, 0.638? (a) 0.78 (b) 0.015 (c) 0.7 (d) 0.638
31. 31.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 13 (b) 12 (c) 24 (d) 10
32. 32.If 9 pens cost ₹45, how much do 8 pens cost? (a) ₹40 (b) ₹360 (c) ₹44 (d) ₹45
33. 33.What is 2/3 of 33? (a) 23 (b) 33 (c) 11 (d) 22
34. 34.Which fraction is greater: 5/12 or 1/3? (a) They are equal (b) 5/12 (c) 1/3
35. 35.8.77 + 3.4 = ? (a) 9.11 (b) 12.17 (c) 12.07 (d) 12.27
36. 36.If 11 April is a Tuesday, what day of the week is 8 May? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
37. 37.Which is the greatest: 0.7, 0.76, 0.011, 0.644? (a) 0.7 (b) 0.76 (c) 0.011 (d) 0.644
38. 38.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 7 cm (d) 14 cm
39. 39.What is the simple interest on ₹3000 at 3% per year for 3 years? (a) ₹3270 (b) ₹360 (c) ₹270 (d) ₹90
40. 40.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 165 sq cm (c) 52 sq cm (d) 180 sq cm

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