Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 550 · 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.Which is the greatest: 0.2, 0.127, 0.24, 0.042? (a) 0.2 (b) 0.127 (c) 0.24 (d) 0.042
2. 2.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 120 (b) 6 (c) 216 (d) 217
3. 3.A teacher has 32 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 4 (c) 32 (d) 8
4. 4.A shopkeeper buys a toy for ₹980 and sells it for ₹588. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
5. 5.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm
6. 6.A bag marked ₹1400 is sold at a 25% discount. What is its selling price? (a) ₹1050 (b) ₹1750 (c) ₹350 (d) ₹1375
7. 7.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 12% (b) 10% (c) 5% (d) 6%
8. 8.A bag marked ₹880 is sold at a 50% discount. What is its selling price? (a) ₹830 (b) ₹441 (c) ₹440 (d) ₹1320
9. 9.A bag marked ₹320 is sold at a 10% discount. What is its selling price? (a) ₹310 (b) ₹288 (c) ₹32 (d) ₹352
10. 10.What is 7/9 of 108? (a) 12 (b) 24 (c) 96 (d) 84
11. 11.What is 75% of 740? (a) 555 (b) 185 (c) 5550 (d) 1110
12. 12.A shopkeeper buys a toy for ₹520 and sells it for ₹780. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
13. 13.₹8000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹9600 (b) ₹1280 (c) ₹9280 (d) ₹8320
14. 14.A teacher has 18 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 54 (b) 18 (c) 9 (d) 3
15. 15.What is the value of the digit 3 in 36.514? (a) 3 (b) 0.03 (c) 30 (d) 0.3
16. 16.₹9500 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹1425 (b) ₹9785 (c) ₹10925 (d) ₹11210
17. 17.6/8 + 1/3 = ? (a) 25/24 (b) 13/12 (c) 9/8 (d) 7/11
18. 18.Every pair follows the same rule: 4 : 20, 5 : 29, 9 : 85. What is 8 : ? (a) 68 (b) 40 (c) 71 (d) 24
19. 19.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 102 cm
20. 20.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 3 (b) 27 (c) 47 (d) 28
21. 21.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 2 days (d) 18 days
22. 22.1/2 + 3/4 = ? (a) 5/4 (b) 2/3 (c) 1 (d) 3/2
23. 23.If 4 pens cost ₹60, how much do 10 pens cost? (a) ₹600 (b) ₹66 (c) ₹165 (d) ₹150
24. 24.₹6500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹7150 (b) ₹8450 (c) ₹7800 (d) ₹1300
25. 25.Which is the greatest: 0.6, 0.556, 0.027, 0.64? (a) 0.6 (b) 0.556 (c) 0.027 (d) 0.64
26. 26.What is the units digit of 3^40? (a) 3 (b) 7 (c) 1 (d) 9
27. 27.Every pair follows the same rule: 2 : 18, 6 : 22, 7 : 23. What is 3 : ? (a) 27 (b) 20 (c) 18 (d) 19
28. 28.The simple interest on ₹2000 for 4 years is ₹240. What is the rate per year? (a) 4% (b) 2% (c) 12% (d) 3%
29. 29.1/2 + 3/9 = ? (a) 8/9 (b) 4/11 (c) 7/9 (d) 5/6
30. 30.Which is the greatest: 0.3, 0.292, 0.37, 0.066? (a) 0.3 (b) 0.292 (c) 0.37 (d) 0.066
31. 31.Which fraction is greater: 1/9 or 3/5? (a) 1/9 (b) They are equal (c) 3/5
32. 32.If 5x − 18 = 52, what is x? (a) 15 (b) 14 (c) 70 (d) 13
33. 33.Which of these numbers is divisible by 9? (a) 4426 (b) 4433 (c) 4428 (d) 4439
34. 34.If 3 May is a Tuesday, what day of the week is 14 May? (a) Monday (b) Sunday (c) Friday (d) Saturday
35. 35.What is the remainder when 518 is divided by 9? (a) 7 (b) 5 (c) 6 (d) 4
36. 36.Every pair follows the same rule: 2 : 4, 5 : 16, 6 : 20. What is 9 : ? (a) 18 (b) 33 (c) 11 (d) 32
37. 37.What is the value of the digit 9 in 76.395? (a) 0.9 (b) 0.09 (c) 0.009 (d) 9
38. 38.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 54 (c) 97 (d) 96
39. 39.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 5 min (c) 150 min (d) 750 min
40. 40.If 14 March is a Sunday, what day of the week is 24 March? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday

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