Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 637 · 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 of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 33 (b) 180 (c) 270 (d) 90
2. 2.If 9x + 24 = 105, what is x? (a) 81 (b) 9 (c) 10 (d) 8
3. 3.If 8x + 15 = 55, what is x? (a) 4 (b) 5 (c) 6 (d) 40
4. 4.What is the units digit of 4^30? (a) 4 (b) 6 (c) 5 (d) 7
5. 5.₹123 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹83 (b) ₹41 (c) ₹123 (d) ₹82
6. 6.1/2 + 1/2 = ? (a) 3/2 (b) 1 (c) 2 (d) 1/2
7. 7.Which is the greatest: 0.32, 0.3, 0.078, 0.233? (a) 0.32 (b) 0.3 (c) 0.078 (d) 0.233
8. 8.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
9. 9.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 180 sq cm (c) 56 sq cm (d) 28 sq cm
10. 10.Two ribbons are 16 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) 4 cm (b) 16 cm (c) 20 cm (d) 2 cm
11. 11.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 154 cm (d) 39 cm
12. 12.7/9 + 1/3 = ? (a) 10/9 (b) 2/3 (c) 1 (d) 11/9
13. 13.What is the average of all the whole numbers from 54 to 84? (a) 70 (b) 15 (c) 69 (d) 30
14. 14.What is the smallest number you must add to 555 to make it divisible by 7? (a) 5 (b) 2 (c) 6 (d) 4
15. 15.₹246 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹123 (b) ₹41 (c) ₹205 (d) ₹246
16. 16.₹210 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹147 (b) ₹63 (c) ₹105 (d) ₹21
17. 17.If 6x + 24 = 114, what is x? (a) 16 (b) 15 (c) 23 (d) 90
18. 18.A teacher has 30 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 24 (c) 30 (d) 6
19. 19.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
20. 20.1/4 + 7/9 = ? (a) 8/13 (b) 19/18 (c) 1 (d) 37/36
21. 21.If 9 mangoes cost ₹144, how much do 3 mangoes cost? (a) ₹432 (b) ₹138 (c) ₹64 (d) ₹48
22. 22.What is the average of 13, 35, 21, 16 and 55? (a) 28 (b) 29 (c) 27 (d) 35
23. 23.What is 7/8 of 16? (a) 14 (b) 16 (c) 15 (d) 2
24. 24.What is the average of 79, 63, 76 and 82? (a) 100 (b) 75 (c) 74 (d) 76
25. 25.If 3 pens cost ₹45, how much do 10 pens cost? (a) ₹52 (b) ₹165 (c) ₹150 (d) ₹450
26. 26.What is the simple interest on ₹6500 at 2% per year for 3 years? (a) ₹6890 (b) ₹130 (c) ₹390 (d) ₹520
27. 27.Which fraction is greater: 1/11 or 1/3? (a) They are equal (b) 1/3 (c) 1/11
28. 28.1/3 + 2/5 = ? (a) 4/5 (b) 11/15 (c) 2/3 (d) 3/8
29. 29.What is the average of 42, 57, 30, 36, 44 and 43? (a) 41 (b) 42 (c) 43 (d) 44
30. 30.Every pair follows the same rule: 2 : 10, 6 : 30, 8 : 40. What is 9 : ? (a) 17 (b) 44 (c) 46 (d) 45
31. 31.Which fraction is greater: 1/6 or 1/3? (a) 1/6 (b) They are equal (c) 1/3
32. 32.A bag marked ₹800 is sold at a 30% discount. What is its selling price? (a) ₹1040 (b) ₹560 (c) ₹240 (d) ₹770
33. 33.What is the smallest number you must add to 341 to make it divisible by 6? (a) 1 (b) 3 (c) 2 (d) 5
34. 34.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 14 sq cm (d) 18 sq cm
35. 35.₹4500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹4680 (b) ₹720 (c) ₹5220 (d) ₹5400
36. 36.Which is the greatest: 0.24, 0.085, 0.194, 0.2? (a) 0.24 (b) 0.085 (c) 0.194 (d) 0.2
37. 37.₹9000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹2160 (b) ₹12240 (c) ₹10080 (d) ₹11160
38. 38.If 6 August is a Monday, what day of the week is 17 August? (a) Saturday (b) Friday (c) Sunday (d) Thursday
39. 39.Which of these numbers is divisible by 4? (a) 1921 (b) 1917 (c) 1916 (d) 1913
40. 40.₹3500 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹1155 (b) ₹3885 (c) ₹5040 (d) ₹4655

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