Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 673 · 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.If 3x + 15 = 2x + 26, what is x? (a) 11 (b) 41 (c) 13 (d) 12
2. 2.3/8 + 2/3 = ? (a) 5/11 (b) 1 (c) 13/12 (d) 25/24
3. 3.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
4. 4.What is the smallest number you must add to 486 to make it divisible by 10? (a) 5 (b) 4 (c) 3 (d) 6
5. 5.What is the value of the digit 5 in 78.953? (a) 5 (b) 0.005 (c) 0.05 (d) 0.5
6. 6.If x/5 + 3 = 6, what is x? (a) 3 (b) 27 (c) 45 (d) 15
7. 7.What is the average of 57, 69, 58, 68 and 108? (a) 90 (b) 72 (c) 71 (d) 73
8. 8.If 18 November is a Monday, what day of the week is 15 December? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
9. 9.What is the units digit of 7^60? (a) 1 (b) 7 (c) 3 (d) 9
10. 10.If 2 July is a Wednesday, what day of the week is 18 July? (a) Thursday (b) Sunday (c) Friday (d) Saturday
11. 11.Every pair follows the same rule: 2 : 9, 3 : 13, 4 : 17. What is 7 : ? (a) 28 (b) 29 (c) 30 (d) 14
12. 12.Which is the greatest: 0.44, 0.319, 0.4, 0.024? (a) 0.44 (b) 0.319 (c) 0.4 (d) 0.024
13. 13.Which fraction is greater: 2/5 or 1/9? (a) They are equal (b) 1/9 (c) 2/5
14. 14.What is the average of 43, 32, 48 and 41? (a) 40 (b) 43 (c) 42 (d) 41
15. 15.If 8x − 7 = 89, what is x? (a) 11 (b) 96 (c) 12 (d) 13
16. 16.In how many years will ₹4000 earn ₹240 simple interest at 3% per year? (a) 3 years (b) 4 years (c) 1 year (d) 2 years
17. 17.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 91 sq cm (d) 78 sq cm
18. 18.A shopkeeper buys a toy for ₹460 and sells it for ₹506. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 46%
19. 19.Which fraction is greater: 10/11 or 3/5? (a) 10/11 (b) They are equal (c) 3/5
20. 20.If 3 notebooks cost ₹72, how much do 7 notebooks cost? (a) ₹192 (b) ₹76 (c) ₹168 (d) ₹504
21. 21.A teacher has 12 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 16 (c) 2 (d) 12
22. 22.Every pair follows the same rule: 2 : 9, 3 : 10, 7 : 14. What is 8 : ? (a) 14 (b) 16 (c) 17 (d) 15
23. 23.If 29 October is a Saturday, what day of the week is 8 November? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
24. 24.Two ribbons are 44 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 44 cm (b) 55 cm (c) 1 cm (d) 11 cm
25. 25.What is the simple interest on ₹2000 at 8% per year for 4 years? (a) ₹640 (b) ₹160 (c) ₹800 (d) ₹2640
26. 26.If 3x − 38 = 7, what is x? (a) 14 (b) 16 (c) 45 (d) 15
27. 27.₹119 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹17 (b) ₹119 (c) ₹102 (d) ₹103
28. 28.8 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 24 days (b) 25 days (c) 23 days (d) 12 days
29. 29.₹204 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹85 (b) ₹102 (c) ₹17 (d) ₹119
30. 30.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 2 : ? (a) 4 (b) 6 (c) 5 (d) 8
31. 31.What is 3/4 of 36? (a) 28 (b) 9 (c) 27 (d) 36
32. 32.Every pair follows the same rule: 6 : 27, 7 : 31, 9 : 39. What is 3 : ? (a) 16 (b) 14 (c) 24 (d) 15
33. 33.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 1 day (b) 3 days (c) 8 days (d) 2 days
34. 34.Every pair follows the same rule: 3 : 8, 8 : 13, 9 : 14. What is 5 : ? (a) 10 (b) 11 (c) 12 (d) 9
35. 35.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
36. 36.A teacher has 60 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 48 (c) 6 (d) 60
37. 37.Every pair follows the same rule: 2 : 13, 3 : 18, 7 : 58. What is 9 : ? (a) 90 (b) 91 (c) 78 (d) 20
38. 38.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 45 cm
39. 39.A bag marked ₹1240 is sold at a 25% discount. What is its selling price? (a) ₹930 (b) ₹310 (c) ₹1215 (d) ₹1550
40. 40.3.81 + 2.4 = ? (a) 4.05 (b) 6.31 (c) 6.21 (d) 6.11

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