Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 179 · 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.What is the average of 68, 88, 67, 83 and 84? (a) 79 (b) 80 (c) 77 (d) 78
2. 2.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 8 cm (d) 7 cm
3. 3.Which fraction is greater: 1/9 or 6/7? (a) 6/7 (b) 1/9 (c) They are equal
4. 4.What is the value of the digit 6 in 26.385? (a) 6 (b) 60 (c) 0.6 (d) 0.06
5. 5.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 80 cm (c) 10 cm (d) 6 cm
6. 6.7 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 8 days (b) 13 days (c) 6 days (d) 7 days
7. 7.What is the smallest number you must add to 88 to make it divisible by 3? (a) 2 (b) 1
8. 8.Which of these numbers is divisible by 6? (a) 3282 (b) 3286 (c) 3281 (d) 3290
9. 9.A bag marked ₹1860 is sold at a 10% discount. What is its selling price? (a) ₹2046 (b) ₹1850 (c) ₹186 (d) ₹1674
10. 10.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 1 : ? (a) 9 (b) 1 (c) 2 (d) 25
11. 11.₹3000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹4200 (b) ₹1200 (c) ₹4500 (d) ₹3300
12. 12.₹4000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹4240 (b) ₹4480 (c) ₹4720 (d) ₹480
13. 13.Every pair follows the same rule: 3 : 9, 7 : 49, 9 : 81. What is 4 : ? (a) 16 (b) 12 (c) 10 (d) 1
14. 14.8 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 8 days (d) 9 days
15. 15.What is the average of all the whole numbers from 59 to 77? (a) 68 (b) 69 (c) 9 (d) 18
16. 16.What is the simple interest on ₹2500 at 12% per year for 5 years? (a) ₹300 (b) ₹1800 (c) ₹4000 (d) ₹1500
17. 17.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 64 cm (d) 36 cm
18. 18.Which is the smallest: 0.524, 0.63, 0.046, 0.6? (a) 0.524 (b) 0.63 (c) 0.046 (d) 0.6
19. 19.4 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 20 days (c) 16 days (d) 21 days
20. 20.Which is the greatest: 0.7, 0.071, 0.696, 0.74? (a) 0.7 (b) 0.071 (c) 0.696 (d) 0.74
21. 21.If 7x + 7 = 2x + 12, what is x? (a) 1 (b) 2 (c) 4 (d) 3
22. 22.A teacher has 6 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 2 (c) 6 (d) 4
23. 23.If x/3 + 6 = 18, what is x? (a) 36 (b) 48 (c) 72 (d) 12
24. 24.What is the smallest number you must add to 261 to make it divisible by 4? (a) 3 (b) 2 (c) 1
25. 25.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 25 cm (d) 63 cm
26. 26.If 6x + 12 = 66, what is x? (a) 9 (b) 10 (c) 54 (d) 13
27. 27.2/9 + 1/3 = ? (a) 5/9 (b) 2/3 (c) 4/9 (d) 1/4
28. 28.Two ribbons are 12 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 42 cm (b) 12 cm (c) 6 cm (d) 3 cm
29. 29.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
30. 30.What is 3/4 of 44? (a) 34 (b) 33 (c) 44 (d) 11
31. 31.What is the simple interest on ₹4500 at 11% per year for 5 years? (a) ₹495 (b) ₹2475 (c) ₹6975 (d) ₹2970
32. 32.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
33. 33.Which is the smallest: 0.736, 0.8, 0.052, 0.87? (a) 0.736 (b) 0.8 (c) 0.052 (d) 0.87
34. 34.What is 1/6 of 12? (a) 3 (b) 2 (c) 4 (d) 10
35. 35.Which is the smallest: 0.89, 0.767, 0.8, 0.077? (a) 0.89 (b) 0.767 (c) 0.8 (d) 0.077
36. 36.7.06 + 2.3 = ? (a) 9.26 (b) 7.29 (c) 9.36 (d) 9.46
37. 37.What is the value of the digit 7 in 79.125? (a) 7 (b) 0.7 (c) 70 (d) 0.07
38. 38.What is the average of 84, 65, 68, 87, 83 and 57? (a) 73 (b) 76 (c) 75 (d) 74
39. 39.What is the simple interest on ₹8500 at 5% per year for 2 years? (a) ₹9350 (b) ₹1275 (c) ₹850 (d) ₹425
40. 40.If 2 mangoes cost ₹50, how much do 3 mangoes cost? (a) ₹75 (b) ₹150 (c) ₹100 (d) ₹51

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