Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 853 · 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 2x − 13 = 7, what is x? (a) 10 (b) 20 (c) 9 (d) 11
2. 2.If 9x + 9 = 3x + 45, what is x? (a) 3 (b) 6 (c) 7 (d) 9
3. 3.If 3 October is a Wednesday, what day of the week is 17 October? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
4. 4.What is the value of the digit 3 in 59.374? (a) 3 (b) 0.3 (c) 0.03 (d) 0.003
5. 5.A teacher has 40 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 40 (c) 10 (d) 200
6. 6.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 156 cm (c) 25 cm (d) 50 cm
7. 7.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
8. 8.₹3500 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹3920 (b) ₹3780 (c) ₹3640 (d) ₹280
9. 9.Which fraction is greater: 5/6 or 3/10? (a) They are equal (b) 3/10 (c) 5/6
10. 10.3/5 + 4/7 = ? (a) 6/5 (b) 41/35 (c) 8/7 (d) 7/12
11. 11.What is 10% of 40? (a) 40 (b) 36 (c) 4 (d) 8
12. 12.If 5x − 10 = 35, what is x? (a) 9 (b) 10 (c) 45 (d) 5
13. 13.A shopkeeper buys a toy for ₹900 and sells it for ₹990. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 90%
14. 14.What is 5% of 240? (a) 120 (b) 24 (c) 228 (d) 12
15. 15.What is the value of the digit 3 in 35.812? (a) 0.03 (b) 30 (c) 0.3 (d) 3
16. 16.If 14 October is a Sunday, what day of the week is 30 October? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
17. 17.Every pair follows the same rule: 3 : 17, 4 : 24, 6 : 44. What is 8 : ? (a) 22 (b) 73 (c) 72 (d) 64
18. 18.Every pair follows the same rule: 2 : 12, 4 : 24, 9 : 54. What is 8 : ? (a) 18 (b) 47 (c) 48 (d) 49
19. 19.What is the simple interest on ₹2000 at 7% per year for 3 years? (a) ₹140 (b) ₹2420 (c) ₹560 (d) ₹420
20. 20.What is the value of the digit 9 in 69.784? (a) 0.09 (b) 9 (c) 0.9 (d) 90
21. 21.₹96 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹80 (b) ₹96 (c) ₹16 (d) ₹48
22. 22.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 51 sq cm (c) 38 sq cm (d) 19 sq cm
23. 23.If 11 March is a Thursday, what day of the week is 19 March? (a) Sunday (b) Thursday (c) Friday (d) Saturday
24. 24.What is the simple interest on ₹2000 at 2% per year for 4 years? (a) ₹2160 (b) ₹200 (c) ₹160 (d) ₹40
25. 25.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 12 min (b) 24 min (c) 10 min (d) 2 min
26. 26.Every pair follows the same rule: 2 : 1, 3 : 6, 4 : 13. What is 9 : ? (a) 77 (b) 79 (c) 48 (d) 78
27. 27.A bag marked ₹880 is sold at a 15% discount. What is its selling price? (a) ₹865 (b) ₹748 (c) ₹132 (d) ₹1012
28. 28.Which is the greatest: 0.3, 0.37, 0.045, 0.212? (a) 0.3 (b) 0.37 (c) 0.045 (d) 0.212
29. 29.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹1715 (b) ₹1305 (c) ₹435 (d) ₹2175
30. 30.If 4x + 20 = 80, what is x? (a) 16 (b) 25 (c) 15 (d) 60
31. 31.Which is the smallest: 0.081, 0.25, 0.2, 0.121? (a) 0.081 (b) 0.25 (c) 0.2 (d) 0.121
32. 32.3.04 + 6.2 = ? (a) 9.14 (b) 9.24 (c) 9.34 (d) 3.66
33. 33.Which is the smallest: 0.093, 0.728, 0.84, 0.8? (a) 0.093 (b) 0.728 (c) 0.84 (d) 0.8
34. 34.In how many years will ₹4000 earn ₹1080 simple interest at 9% per year? (a) 4 years (b) 6 years (c) 2 years (d) 3 years
35. 35.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 62 (b) 46 (c) 20 (d) 50
36. 36.A shopkeeper buys a toy for ₹960 and sells it for ₹576. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
37. 37.What is the units digit of 2^30? (a) 4 (b) 2 (c) 6 (d) 8
38. 38.What is the value of the digit 5 in 71.359? (a) 0.05 (b) 5 (c) 0.005 (d) 0.5
39. 39.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 20 sq cm (c) 40 sq cm (d) 110 sq cm
40. 40.If 2 notebooks cost ₹10, how much do 3 notebooks cost? (a) ₹30 (b) ₹11 (c) ₹20 (d) ₹15

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