Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 289 · 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 7 kites cost ₹112, how much do 8 kites cost? (a) ₹144 (b) ₹113 (c) ₹896 (d) ₹128
2. 2.If 3x + 7 = x + 19, what is x? (a) 3 (b) 7 (c) 6 (d) 13
3. 3.A teacher has 88 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 792 (c) 1 (d) 88
4. 4.If 3x + 18 = 2x + 21, what is x? (a) 39 (b) 3 (c) 4 (d) 5
5. 5.4/8 + 3/4 = ? (a) 9/8 (b) 5/4 (c) 7/12 (d) 11/8
6. 6.If 3x + 15 = x + 19, what is x? (a) 2 (b) 3 (c) 1 (d) 17
7. 7.Which fraction is greater: 4/5 or 1/3? (a) They are equal (b) 1/3 (c) 4/5
8. 8.A bag marked ₹1900 is sold at a 50% discount. What is its selling price? (a) ₹2850 (b) ₹950 (c) ₹1850 (d) ₹951
9. 9.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 120 min (c) 720 min (d) 6 min
10. 10.If x/5 + 9 = 19, what is x? (a) 86 (b) 10 (c) 140 (d) 50
11. 11.Today is Friday. What day of the week will it be after 16 days? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
12. 12.What is 30% of 1000? (a) 600 (b) 300 (c) 700 (d) 3000
13. 13.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
14. 14.Every pair follows the same rule: 6 : 39, 7 : 52, 9 : 84. What is 4 : ? (a) 37 (b) 4 (c) 20 (d) 19
15. 15.Two ribbons are 12 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 18 cm (c) 6 cm (d) 12 cm
16. 16.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 20 (c) 48 (d) 24
17. 17.Today is Sunday. What day of the week will it be after 16 days? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
18. 18.If 8 mangoes cost ₹200, how much do 3 mangoes cost? (a) ₹195 (b) ₹600 (c) ₹75 (d) ₹100
19. 19.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 48 sq cm (d) 36 sq cm
20. 20.If 15 January is a Tuesday, what day of the week is 29 January? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
21. 21.If 9x + 11 = 47, what is x? (a) 4 (b) 5 (c) 3 (d) 36
22. 22.If 14 September is a Wednesday, what day of the week is 17 October? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
23. 23.If 3x + 11 = 2x + 17, what is x? (a) 8 (b) 7 (c) 28 (d) 6
24. 24.2/7 + 2/7 = ? (a) 4/7 (b) 5/7 (c) 2/7 (d) 3/7
25. 25.A teacher has 30 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 6 (c) 3 (d) 18
26. 26.What is the smallest number you must add to 349 to make it divisible by 8? (a) 2 (b) 4 (c) 5 (d) 3
27. 27.Which is the smallest: 0.2, 0.23, 0.154, 0.064? (a) 0.2 (b) 0.23 (c) 0.154 (d) 0.064
28. 28.Two ribbons are 56 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 448 cm (b) 8 cm (c) 56 cm (d) 4 cm
29. 29.What is the average of all the whole numbers from 13 to 33? (a) 24 (b) 23 (c) 20 (d) 10
30. 30.2.09 + 7.7 = ? (a) 2.86 (b) 9.89 (c) 9.69 (d) 9.79
31. 31.What is the units digit of 7^33? (a) 1 (b) 9 (c) 7 (d) 3
32. 32.What is 2/5 of 35? (a) 21 (b) 14 (c) 15 (d) 7
33. 33.Which is the smallest: 0.74, 0.7, 0.013, 0.622? (a) 0.74 (b) 0.7 (c) 0.013 (d) 0.622
34. 34.If 29 March is a Friday, what day of the week is 8 April? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
35. 35.If 5x − 6 = 19, what is x? (a) 4 (b) 25 (c) 6 (d) 5
36. 36.If 9x + 6 = 8x + 10, what is x? (a) 16 (b) 4 (c) 6 (d) 5
37. 37.9.59 + 2.2 = ? (a) 9.81 (b) 11.79 (c) 11.69 (d) 11.89
38. 38.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 2 min (c) 40 min (d) 14 min
39. 39.₹36 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹27 (b) ₹18 (c) ₹9 (d) ₹36
40. 40.If 19 May is a Monday, what day of the week is 5 June? (a) Friday (b) Thursday (c) Wednesday (d) Saturday

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