Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 111 · 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.Which is the greatest: 0.6, 0.031, 0.62, 0.521? (a) 0.6 (b) 0.031 (c) 0.62 (d) 0.521
2. 2.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
3. 3.If 8 October is a Tuesday, what day of the week is 21 October? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
4. 4.What is 60% of 440? (a) 2640 (b) 264 (c) 176 (d) 528
5. 5.What is the units digit of 7^52? (a) 1 (b) 9 (c) 7 (d) 3
6. 6.1/4 + 3/4 = ? (a) 1/2 (b) 3/4 (c) 1 (d) 5/4
7. 7.What is the remainder when 221 is divided by 7? (a) 5 (b) 4 (c) 6 (d) 3
8. 8.A shopkeeper buys a toy for ₹460 and sells it for ₹552. What is his profit percent? (a) 20% (b) 25% (c) 92% (d) 15%
9. 9.Today is Sunday. What day of the week will it be after 56 days? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
10. 10.If 9 pens cost ₹135, how much do 10 pens cost? (a) ₹136 (b) ₹1350 (c) ₹150 (d) ₹165
11. 11.If 6 kites cost ₹90, how much do 2 kites cost? (a) ₹86 (b) ₹30 (c) ₹180 (d) ₹45
12. 12.If 3x + 1 = 37, what is x? (a) 36 (b) 12 (c) 11 (d) 13
13. 13.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 3 cm (c) 6 cm (d) 4 cm
14. 14.If 4 pens cost ₹40, how much do 2 pens cost? (a) ₹20 (b) ₹30 (c) ₹80 (d) ₹38
15. 15.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 28 cm (d) 33 cm
16. 16.If 14 October is a Tuesday, what day of the week is 27 October? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
17. 17.5/7 + 1/4 = ? (a) 1 (b) 27/28 (c) 6/11 (d) 13/14
18. 18.Which fraction is greater: 3/7 or 3/10? (a) They are equal (b) 3/10 (c) 3/7
19. 19.Today is Sunday. What day of the week will it be after 98 days? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
20. 20.If 4x + 10 = 2x + 14, what is x? (a) 3 (b) 12 (c) 4 (d) 2
21. 21.₹3000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹450 (b) ₹3450 (c) ₹3540 (d) ₹3090
22. 22.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 14 min (c) 48 min (d) 2 min
23. 23.Two ribbons are 24 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 96 cm (b) 4 cm (c) 8 cm (d) 24 cm
24. 24.What is the smallest number you must add to 771 to make it divisible by 11? (a) 1 (b) 10 (c) 9 (d) 8
25. 25.If 13 May is a Monday, what day of the week is 4 June? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
26. 26.Every pair follows the same rule: 3 : 6, 6 : 12, 8 : 16. What is 9 : ? (a) 17 (b) 19 (c) 18 (d) 12
27. 27.Today is Monday. What day of the week will it be after 43 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 30 (b) 31 (c) 16 (d) 60
29. 29.5.36 + 1.7 = ? (a) 5.53 (b) 7.06 (c) 6.96 (d) 7.16
30. 30.Which fraction is greater: 3/7 or 7/10? (a) 3/7 (b) They are equal (c) 7/10
31. 31.What is 5/8 of 24? (a) 3 (b) 9 (c) 18 (d) 15
32. 32.If 16 March is a Thursday, what day of the week is 6 April? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
33. 33.Which is the greatest: 0.3, 0.076, 0.37, 0.225? (a) 0.3 (b) 0.076 (c) 0.37 (d) 0.225
34. 34.Every pair follows the same rule: 2 : 15, 5 : 27, 6 : 31. What is 4 : ? (a) 24 (b) 23 (c) 17 (d) 22
35. 35.Which is the greatest: 0.099, 0.71, 0.7, 0.697? (a) 0.099 (b) 0.71 (c) 0.7 (d) 0.697
36. 36.If x/3 + 8 = 13, what is x? (a) 5 (b) 31 (c) 63 (d) 15
37. 37.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 54 days (b) 19 days (c) 55 days (d) 5 days
38. 38.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 140 sq cm (c) 26 sq cm (d) 120 sq cm
39. 39.The simple interest on ₹8500 for 4 years is ₹3400. What is the rate per year? (a) 10% (b) 11% (c) 9% (d) 40%
40. 40.In how many years will ₹5000 earn ₹750 simple interest at 3% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years

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