Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 192 · 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.Two ribbons are 8 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 28 cm (b) 8 cm (c) 4 cm (d) 2 cm
2. 2.If 5x + 20 = 70, what is x? (a) 11 (b) 50 (c) 10 (d) 18
3. 3.If x/5 + 11 = 13, what is x? (a) 120 (b) 54 (c) 2 (d) 10
4. 4.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 27 days (b) 9 days (c) 17 days (d) 26 days
5. 5.Which fraction is greater: 3/4 or 4/9? (a) They are equal (b) 3/4 (c) 4/9
6. 6.6 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 6 days (c) 24 days (d) 15 days
7. 7.Every pair follows the same rule: 3 : 9, 5 : 15, 9 : 27. What is 2 : ? (a) 5 (b) 7 (c) 6 (d) 8
8. 8.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 16 cm (c) 8 cm (d) 9 cm
9. 9.Two ribbons are 25 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 150 cm (c) 5 cm (d) 25 cm
10. 10.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 4 cm (d) 3 cm
11. 11.In how many years will ₹2500 earn ₹400 simple interest at 8% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
12. 12.Which of these numbers is divisible by 6? (a) 5390 (b) 5394 (c) 5397 (d) 5402
13. 13.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 45 (b) 68 (c) 33 (d) 28
14. 14.1/4 + 1/8 = ? (a) 3/8 (b) 1/4 (c) 1/2 (d) 1/6
15. 15.A shopkeeper buys a toy for ₹940 and sells it for ₹987. What is his profit percent? (a) 47% (b) 5% (c) 10% (d) 6%
16. 16.Two ribbons are 63 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 63 cm (c) 504 cm (d) 9 cm
17. 17.What is 75% of 880? (a) 220 (b) 1320 (c) 660 (d) 6600
18. 18.5/7 + 2/3 = ? (a) 10/7 (b) 7/10 (c) 4/3 (d) 29/21
19. 19.What is 5% of 880? (a) 440 (b) 88 (c) 44 (d) 836
20. 20.What is 1/6 of 36? (a) 7 (b) 12 (c) 6 (d) 30
21. 21.Which fraction is greater: 5/6 or 2/5? (a) They are equal (b) 2/5 (c) 5/6
22. 22.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 176 sq cm (c) 192 sq cm (d) 27 sq cm
23. 23.1/2 + 3/5 = ? (a) 4/7 (b) 11/10 (c) 6/5 (d) 1
24. 24.If 9x − 9 = 81, what is x? (a) 10 (b) 8 (c) 90 (d) 11
25. 25.What is the simple interest on ₹9000 at 9% per year for 2 years? (a) ₹810 (b) ₹2430 (c) ₹1620 (d) ₹10620
26. 26.If 8 kites cost ₹48, how much do 5 kites cost? (a) ₹45 (b) ₹240 (c) ₹30 (d) ₹36
27. 27.What is the simple interest on ₹5000 at 9% per year for 4 years? (a) ₹2250 (b) ₹6800 (c) ₹1800 (d) ₹450
28. 28.In how many years will ₹3500 earn ₹1400 simple interest at 8% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
29. 29.₹96 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹96 (b) ₹48 (c) ₹64 (d) ₹32
30. 30.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 60 min (c) 360 min (d) 42 min
31. 31.What is 1/9 of 72? (a) 64 (b) 8 (c) 9 (d) 16
32. 32.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 28% (b) 5% (c) 15% (d) 10%
33. 33.What is the value of the digit 6 in 84.623? (a) 0.06 (b) 0.006 (c) 0.6 (d) 6
34. 34.2/3 + 2/7 = ? (a) 2/5 (b) 1 (c) 20/21 (d) 19/21
35. 35.A teacher has 40 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 24 (c) 8 (d) 40
36. 36.If x/5 + 2 = 10, what is x? (a) 60 (b) 8 (c) 48 (d) 40
37. 37.What is 5/7 of 28? (a) 8 (b) 4 (c) 24 (d) 20
38. 38.Which of these numbers is divisible by 11? (a) 4237 (b) 4224 (c) 4223 (d) 4225
39. 39.A bag marked ₹1880 is sold at a 40% discount. What is its selling price? (a) ₹1840 (b) ₹752 (c) ₹1128 (d) ₹2632
40. 40.Every pair follows the same rule: 3 : 15, 6 : 24, 9 : 33. What is 2 : ? (a) 14 (b) 13 (c) 12 (d) 10

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