Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 253 · 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 3 mangoes cost ₹18, how much do 4 mangoes cost? (a) ₹24 (b) ₹72 (c) ₹30 (d) ₹19
2. 2.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 117 cm (c) 20 cm (d) 11 cm
3. 3.Which fraction is greater: 5/8 or 2/3? (a) They are equal (b) 2/3 (c) 5/8
4. 4.If 4x + 7 = 19, what is x? (a) 12 (b) 3 (c) 2 (d) 4
5. 5.Which is the smallest: 0.8, 0.82, 0.094, 0.775? (a) 0.8 (b) 0.82 (c) 0.094 (d) 0.775
6. 6.Two ribbons are 15 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 9 cm (c) 3 cm (d) 1 cm
7. 7.Every pair follows the same rule: 2 : 7, 5 : 13, 8 : 19. What is 3 : ? (a) 10 (b) 8 (c) 11 (d) 9
8. 8.If 8x + 13 = 5x + 37, what is x? (a) 9 (b) 8 (c) 10 (d) 7
9. 9.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 4 cm (c) 8 cm (d) 5 cm
10. 10.If 7x + 6 = x + 24, what is x? (a) 4 (b) 2 (c) 5 (d) 3
11. 11.What is 1/2 of 4? (a) 2 (b) 1 (c) 3 (d) 4
12. 12.If 26 July is a Monday, what day of the week is 5 August? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
13. 13.What is 1/2 of 6? (a) 3 (b) 2 (c) 4 (d) 6
14. 14.1/5 + 2/3 = ? (a) 3/8 (b) 14/15 (c) 4/5 (d) 13/15
15. 15.Every pair follows the same rule: 2 : 4, 5 : 13, 7 : 19. What is 6 : ? (a) 8 (b) 17 (c) 16 (d) 12
16. 16.Which fraction is greater: 4/7 or 1/4? (a) 1/4 (b) They are equal (c) 4/7
17. 17.What is the value of the digit 2 in 26.759? (a) 20 (b) 0.02 (c) 0.2 (d) 2
18. 18.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 55 (b) 280 (c) 700 (d) 140
19. 19.If x/4 + 9 = 18, what is x? (a) 108 (b) 36 (c) 9 (d) 63
20. 20.What is the units digit of 8^52? (a) 2 (b) 8 (c) 4 (d) 6
21. 21.Which fraction is greater: 7/8 or 5/7? (a) They are equal (b) 5/7 (c) 7/8
22. 22.What is 2/3 of 6? (a) 2 (b) 5 (c) 4 (d) 6
23. 23.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 30 (b) 216 (c) 36 (d) 72
24. 24.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 28 days (b) 3 days (c) 15 days (d) 27 days
25. 25.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 26 (b) 27 (c) 78 (d) 38
26. 26.What is the simple interest on ₹6000 at 12% per year for 3 years? (a) ₹2160 (b) ₹8160 (c) ₹2880 (d) ₹720
27. 27.If 11 March is a Saturday, what day of the week is 24 March? (a) Friday (b) Saturday (c) Sunday (d) Thursday
28. 28.What is the remainder when 97 is divided by 5? (a) 2 (b) 1 (c) 4 (d) 3
29. 29.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 2 : ? (a) 4 (b) 6 (c) 8 (d) 5
30. 30.If x/3 + 13 = 25, what is x? (a) 62 (b) 12 (c) 36 (d) 114
31. 31.In how many years will ₹9500 earn ₹1140 simple interest at 4% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
32. 32.In how many years will ₹8000 earn ₹2400 simple interest at 6% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
33. 33.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 60 min (c) 30 min (d) 16 min
34. 34.7.27 + 8.8 = ? (a) 15.97 (b) 16.17 (c) 8.15 (d) 16.07
35. 35.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 45 min (c) 5 min (d) 70 min
36. 36.What is the units digit of 9^40? (a) 9 (b) 2 (c) 0 (d) 1
37. 37.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 16 cm (c) 26 cm (d) 32 cm
38. 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 14 sq cm (d) 48 sq cm
39. 39.A bag marked ₹500 is sold at a 50% discount. What is its selling price? (a) ₹450 (b) ₹750 (c) ₹251 (d) ₹250
40. 40.A bag marked ₹680 is sold at a 10% discount. What is its selling price? (a) ₹612 (b) ₹68 (c) ₹670 (d) ₹748

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