Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 513 · 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 teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 20 (c) 2 (d) 8
2. 2.A shopkeeper buys a toy for ₹920 and sells it for ₹1104. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 25%
3. 3.A bag marked ₹560 is sold at a 10% discount. What is its selling price? (a) ₹56 (b) ₹550 (c) ₹504 (d) ₹616
4. 4.What is the units digit of 3^51? (a) 9 (b) 3 (c) 7 (d) 1
5. 5.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 34 sq cm (d) 81 sq cm
6. 6.If 8 pens cost ₹48, how much do 11 pens cost? (a) ₹51 (b) ₹66 (c) ₹528 (d) ₹72
7. 7.Which of these numbers is divisible by 3? (a) 1496 (b) 1490 (c) 1491 (d) 1493
8. 8.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 56 min (c) 18 min (d) 28 min
9. 9.A bag marked ₹1340 is sold at a 15% discount. What is its selling price? (a) ₹1541 (b) ₹1139 (c) ₹1325 (d) ₹201
10. 10.₹198 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹36 (b) ₹99 (c) ₹18 (d) ₹162
11. 11.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 5 min (c) 25 min (d) 30 min
12. 12.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 60 sq cm (c) 17 sq cm (d) 72 sq cm
13. 13.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
14. 14.What is the remainder when 591 is divided by 9? (a) 6 (b) 5 (c) 3 (d) 7
15. 15.If 5 August is a Tuesday, what day of the week is 17 August? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
16. 16.1.52 + 2.3 = ? (a) 3.92 (b) 3.82 (c) 1.75 (d) 3.72
17. 17.A bag marked ₹1860 is sold at a 25% discount. What is its selling price? (a) ₹1835 (b) ₹1395 (c) ₹2325 (d) ₹465
18. 18.₹315 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹45 (b) ₹270 (c) ₹90 (d) ₹225
19. 19.If 9x + 21 = 57, what is x? (a) 5 (b) 3 (c) 4 (d) 36
20. 20.Every pair follows the same rule: 3 : 9, 7 : 21, 9 : 27. What is 5 : ? (a) 16 (b) 15 (c) 11 (d) 14
21. 21.A shopkeeper buys a toy for ₹660 and sells it for ₹693. What is his profit percent? (a) 6% (b) 33% (c) 10% (d) 5%
22. 22.What is the remainder when 727 is divided by 9? (a) 2 (b) 6 (c) 8 (d) 7
23. 23.Which of these numbers is divisible by 3? (a) 773 (b) 771 (c) 775 (d) 770
24. 24.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
25. 25.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 75 cm (c) 20 cm (d) 40 cm
26. 26.If 3 notebooks cost ₹27, how much do 11 notebooks cost? (a) ₹297 (b) ₹35 (c) ₹99 (d) ₹108
27. 27.Which of these numbers is divisible by 4? (a) 604 (b) 606 (c) 601 (d) 610
28. 28.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 44 cm (c) 50 cm (d) 25 cm
29. 29.Which of these numbers is divisible by 9? (a) 1322 (b) 1310 (c) 1305 (d) 1297
30. 30.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 27 cm (d) 36 cm
31. 31.A shopkeeper buys a toy for ₹740 and sells it for ₹555. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
32. 32.₹54 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹54 (b) ₹6 (c) ₹48 (d) ₹27
33. 33.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 20% (b) 10% (c) 5% (d) 6%
34. 34.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 4 cm (c) 57 cm (d) 8 cm
35. 35.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
36. 36.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 120 min (c) 22 min (d) 60 min
37. 37.1/3 + 4/9 = ? (a) 7/9 (b) 8/9 (c) 2/3 (d) 5/12
38. 38.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 18 (c) 38 (d) 54
39. 39.What is 2/7 of 28? (a) 20 (b) 12 (c) 4 (d) 8
40. 40.Two ribbons are 48 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 48 cm (c) 36 cm (d) 12 cm

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