Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 63 · 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 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 40 min (c) 84 min (d) 4 min
2. 2.Every pair follows the same rule: 3 : 5, 4 : 7, 6 : 11. What is 8 : ? (a) 15 (b) 16 (c) 14 (d) 10
3. 3.Which fraction is greater: 3/4 or 2/7? (a) 2/7 (b) 3/4 (c) They are equal
4. 4.A shopkeeper buys a toy for ₹940 and sells it for ₹1410. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
5. 5.If 2 mangoes cost ₹24, how much do 12 mangoes cost? (a) ₹34 (b) ₹156 (c) ₹288 (d) ₹144
6. 6.If 7 notebooks cost ₹147, how much do 11 notebooks cost? (a) ₹151 (b) ₹231 (c) ₹252 (d) ₹1617
7. 7.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 180 sq cm (d) 165 sq cm
8. 8.If 11 August is a Sunday, what day of the week is 24 August? (a) Monday (b) Friday (c) Sunday (d) Saturday
9. 9.What is the average of 29, 17, 24, 14 and 61? (a) 28 (b) 29 (c) 31 (d) 30
10. 10.A bag marked ₹900 is sold at a 25% discount. What is its selling price? (a) ₹875 (b) ₹225 (c) ₹1125 (d) ₹675
11. 11.Which is the smallest: 0.8, 0.746, 0.065, 0.84? (a) 0.8 (b) 0.746 (c) 0.065 (d) 0.84
12. 12.If 4x − 5 = 43, what is x? (a) 13 (b) 12 (c) 48 (d) 11
13. 13.What is the simple interest on ₹4500 at 4% per year for 3 years? (a) ₹5040 (b) ₹180 (c) ₹540 (d) ₹720
14. 14.Every pair follows the same rule: 3 : 20, 5 : 22, 8 : 25. What is 9 : ? (a) 26 (b) 27 (c) 28 (d) 25
15. 15.Two ribbons are 12 cm and 27 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) 15 cm (c) 12 cm (d) 1 cm
16. 16.What is the average of 57, 55, 54 and 18? (a) 47 (b) 45 (c) 48 (d) 46
17. 17.4 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 14 days (c) 18 days (d) 10 days
18. 18.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 39 days (d) 40 days
19. 19.What is the smallest number you must add to 250 to make it divisible by 6? (a) 4 (b) 3 (c) 1 (d) 2
20. 20.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
21. 21.What is the units digit of 3^53? (a) 9 (b) 1 (c) 3 (d) 7
22. 22.What is the value of the digit 1 in 46.312? (a) 0.001 (b) 0.01 (c) 1 (d) 0.1
23. 23.Every pair follows the same rule: 6 : 22, 8 : 28, 9 : 31. What is 3 : ? (a) 12 (b) 13 (c) 19 (d) 14
24. 24.Which fraction is greater: 1/6 or 1/4? (a) 1/4 (b) 1/6 (c) They are equal
25. 25.₹8500 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹11560 (b) ₹11050 (c) ₹2550 (d) ₹9010
26. 26.What is the units digit of 7^20? (a) 3 (b) 7 (c) 9 (d) 1
27. 27.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 25 cm (c) 14 cm (d) 28 cm
28. 28.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
29. 29.Which fraction is greater: 1/6 or 4/5? (a) 1/6 (b) They are equal (c) 4/5
30. 30.If 6x + 3 = 33, what is x? (a) 6 (b) 5 (c) 30 (d) 4
31. 31.What is the units digit of 2^11? (a) 4 (b) 2 (c) 6 (d) 8
32. 32.What is the simple interest on ₹7500 at 8% per year for 4 years? (a) ₹9900 (b) ₹3000 (c) ₹600 (d) ₹2400
33. 33.Which fraction is greater: 5/12 or 3/5? (a) 5/12 (b) 3/5 (c) They are equal
34. 34.What is the simple interest on ₹7500 at 3% per year for 4 years? (a) ₹8400 (b) ₹225 (c) ₹900 (d) ₹1125
35. 35.If 31 May is a Friday, what day of the week is 13 June? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
36. 36.Which is the smallest: 0.529, 0.012, 0.6, 0.65? (a) 0.529 (b) 0.012 (c) 0.6 (d) 0.65
37. 37.If 4x − 4 = 4, what is x? (a) 8 (b) 1 (c) 3 (d) 2
38. 38.Which fraction is greater: 9/10 or 2/7? (a) 9/10 (b) 2/7 (c) They are equal
39. 39.What is the value of the digit 6 in 42.968? (a) 0.006 (b) 0.06 (c) 0.6 (d) 6
40. 40.Which is the smallest: 0.52, 0.092, 0.5, 0.425? (a) 0.52 (b) 0.092 (c) 0.5 (d) 0.425

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