Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 844 · 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 smallest number you must add to 148 to make it divisible by 3? (a) 2 (b) 1
2. 2.Every pair follows the same rule: 2 : 10, 8 : 40, 9 : 45. What is 6 : ? (a) 31 (b) 30 (c) 14 (d) 29
3. 3.If 7 pens cost ₹126, how much do 6 pens cost? (a) ₹125 (b) ₹126 (c) ₹756 (d) ₹108
4. 4.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 25 cm (c) 136 cm (d) 50 cm
5. 5.What is the units digit of 2^36? (a) 4 (b) 2 (c) 6 (d) 8
6. 6.If 29 September is a Wednesday, what day of the week is 7 October? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
7. 7.Every pair follows the same rule: 2 : 8, 3 : 9, 5 : 11. What is 4 : ? (a) 10 (b) 11 (c) 16 (d) 9
8. 8.Today is Friday. What day of the week will it be after 30 days? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
9. 9.1.89 + 4.8 = ? (a) 6.59 (b) 2.37 (c) 6.69 (d) 6.79
10. 10.What is 5% of 520? (a) 494 (b) 26 (c) 52 (d) 260
11. 11.Which is the greatest: 0.7, 0.615, 0.034, 0.71? (a) 0.7 (b) 0.615 (c) 0.034 (d) 0.71
12. 12.5 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 9 days (d) 13 days
13. 13.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
14. 14.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 30% (b) 35% (c) 31% (d) 25%
15. 15.What is the smallest number you must add to 440 to make it divisible by 6? (a) 3 (b) 5 (c) 4 (d) 2
16. 16.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
17. 17.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
18. 18.What is the average of all the whole numbers from 58 to 84? (a) 26 (b) 72 (c) 71 (d) 13
19. 19.If x/2 + 13 = 21, what is x? (a) 29 (b) 68 (c) 8 (d) 16
20. 20.If 9x + 21 = 84, what is x? (a) 8 (b) 7 (c) 6 (d) 63
21. 21.Every pair follows the same rule: 4 : 14, 6 : 18, 9 : 24. What is 7 : ? (a) 21 (b) 17 (c) 19 (d) 20
22. 22.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) 55 (b) 1 (c) 330 (d) 11
23. 23.₹140 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹70 (b) ₹140 (c) ₹35 (d) ₹105
24. 24.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 15% (b) 10% (c) 16% (d) 20%
25. 25.What is the smallest number you must add to 111 to make it divisible by 8? (a) 2 (b) 7 (c) 3 (d) 1
26. 26.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 10 cm (d) 11 cm
27. 27.What is 1/4 of 32? (a) 16 (b) 24 (c) 9 (d) 8
28. 28.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 72 sq cm (d) 22 sq cm
29. 29.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 160 cm (c) 48 cm (d) 28 cm
30. 30.Which fraction is greater: 3/11 or 2/3? (a) They are equal (b) 3/11 (c) 2/3
31. 31.A bag marked ₹360 is sold at a 10% discount. What is its selling price? (a) ₹36 (b) ₹324 (c) ₹396 (d) ₹350
32. 32.3.54 + 5.9 = ? (a) 9.54 (b) 9.44 (c) 4.13 (d) 9.34
33. 33.If 17 March is a Monday, what day of the week is 20 April? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
34. 34.What is the units digit of 8^30? (a) 2 (b) 8 (c) 6 (d) 4
35. 35.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 96 cm (d) 7 cm
36. 36.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 31 cm (c) 228 cm (d) 62 cm
37. 37.If 8x − 56 = 64, what is x? (a) 16 (b) 1 (c) 120 (d) 15
38. 38.In how many years will ₹9000 earn ₹2160 simple interest at 12% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
39. 39.A shopkeeper buys a toy for ₹300 and sells it for ₹345. What is his profit percent? (a) 45% (b) 20% (c) 15% (d) 10%
40. 40.₹4500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹1620 (b) ₹5040 (c) ₹6660 (d) ₹6120

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