Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 38 · 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 bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 70 min (d) 140 min
2. 2.If 7 mangoes cost ₹140, how much do 10 mangoes cost? (a) ₹1400 (b) ₹143 (c) ₹220 (d) ₹200
3. 3.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
4. 4.Two ribbons are 6 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 2 cm (c) 6 cm (d) 1 cm
5. 5.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 48 cm (c) 29 cm (d) 190 cm
6. 6.Which is the smallest: 0.625, 0.73, 0.7, 0.063? (a) 0.625 (b) 0.73 (c) 0.7 (d) 0.063
7. 7.What is the average of 72, 71, 74, 67 and 81? (a) 74 (b) 73 (c) 75 (d) 72
8. 8.What is 60% of 740? (a) 296 (b) 444 (c) 4440 (d) 888
9. 9.What is the smallest number you must add to 561 to make it divisible by 8? (a) 6 (b) 5 (c) 1 (d) 7
10. 10.If 12 January is a Tuesday, what day of the week is 11 February? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
11. 11.The simple interest on ₹7500 for 2 years is ₹450. What is the rate per year? (a) 2% (b) 4% (c) 6% (d) 3%
12. 12.3 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 11 days (c) 13 days (d) 9 days
13. 13.If 13 May is a Saturday, what day of the week is 2 June? (a) Friday (b) Saturday (c) Sunday (d) Thursday
14. 14.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
15. 15.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 38 (b) 16 (c) 50 (d) 36
16. 16.Which of these numbers is divisible by 11? (a) 7212 (b) 7194 (c) 7197 (d) 7193
17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
18. 18.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
19. 19.What is the value of the digit 3 in 39.178? (a) 0.3 (b) 3 (c) 0.03 (d) 30
20. 20.What is the smallest number you must add to 176 to make it divisible by 5? (a) 4 (b) 2 (c) 1 (d) 3
21. 21.Which is the greatest: 0.011, 0.88, 0.714, 0.8? (a) 0.011 (b) 0.88 (c) 0.714 (d) 0.8
22. 22.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 88 (c) 56 (d) 40
23. 23.Which of these numbers is divisible by 6? (a) 331 (b) 324 (c) 325 (d) 323
24. 24.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 378 min (c) 126 min (d) 39 min
25. 25.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 270 min (b) 90 min (c) 33 min (d) 3 min
26. 26.What is the average of all the whole numbers from 20 to 42? (a) 11 (b) 22 (c) 31 (d) 32
27. 27.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 6 cm (c) 4 cm (d) 3 cm
28. 28.Which of these numbers is divisible by 4? (a) 3354 (b) 3356 (c) 3362 (d) 3357
29. 29.₹2000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹2080 (b) ₹2240 (c) ₹160 (d) ₹2160
30. 30.What is the simple interest on ₹4500 at 6% per year for 3 years? (a) ₹1080 (b) ₹5310 (c) ₹810 (d) ₹270
31. 31.If 2x − 2 = 4, what is x? (a) 6 (b) 4 (c) 1 (d) 3
32. 32.What is 15% of 40? (a) 34 (b) 12 (c) 6 (d) 60
33. 33.A bag marked ₹200 is sold at a 30% discount. What is its selling price? (a) ₹170 (b) ₹60 (c) ₹260 (d) ₹140
34. 34.A teacher has 55 pencils and 66 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 55 (c) 1 (d) 330
35. 35.₹195 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹60 (b) ₹15 (c) ₹135 (d) ₹150
36. 36.Which fraction is greater: 2/5 or 2/3? (a) 2/5 (b) 2/3 (c) They are equal
37. 37.5/6 + 1/3 = ? (a) 4/3 (b) 1 (c) 7/6 (d) 2/3
38. 38.Two ribbons are 9 cm and 12 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) 9 cm (c) 36 cm (d) 3 cm
39. 39.If 4x − 16 = 28, what is x? (a) 44 (b) 3 (c) 11 (d) 12
40. 40.If 2x − 14 = 10, what is x? (a) 24 (b) 11 (c) 12 (d) 13

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