Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 804 · 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.Today is Tuesday. What day of the week will it be after 63 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
2. 2.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
3. 3.What is the units digit of 9^29? (a) 8 (b) 1 (c) 7 (d) 9
4. 4.What is the remainder when 426 is divided by 12? (a) 7 (b) 5 (c) 8 (d) 6
5. 5.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 168 (b) 252 (c) 33 (d) 84
6. 6.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 32 (c) 17 (d) 29
7. 7.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 38 (c) 20 (d) 21
8. 8.What is the remainder when 73 is divided by 3? (a) 1 (b) 0 (c) 2
9. 9.What is the simple interest on ₹10000 at 5% per year for 2 years? (a) ₹500 (b) ₹1000 (c) ₹11000 (d) ₹1500
10. 10.9.25 + 9.3 = ? (a) 18.45 (b) 10.18 (c) 18.65 (d) 18.55
11. 11.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 40 (b) 375 (c) 75 (d) 150
12. 12.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
13. 13.Which is the smallest: 0.536, 0.045, 0.66, 0.6? (a) 0.536 (b) 0.045 (c) 0.66 (d) 0.6
14. 14.2/3 + 2/3 = ? (a) 4/3 (b) 2/3 (c) 1 (d) 5/3
15. 15.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 35 min (c) 5 min (d) 60 min
16. 16.If 5x + 10 = 4x + 13, what is x? (a) 4 (b) 23 (c) 5 (d) 3
17. 17.Which of these numbers is divisible by 3? (a) 2291 (b) 2292 (c) 2296 (d) 2294
18. 18.Every pair follows the same rule: 2 : 4, 3 : 9, 7 : 49. What is 4 : ? (a) 6 (b) 8 (c) 19 (d) 16
19. 19.Today is Friday. What day of the week will it be after 72 days? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
20. 20.₹4000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹720 (b) ₹4720 (c) ₹4960 (d) ₹4240
21. 21.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 21%
22. 22.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 70 (b) 14 (c) 13 (d) 33
23. 23.5.65 + 4.6 = ? (a) 10.15 (b) 6.11 (c) 10.35 (d) 10.25
24. 24.What is 15% of 640? (a) 192 (b) 96 (c) 544 (d) 960
25. 25.In how many years will ₹9000 earn ₹4050 simple interest at 9% per year? (a) 10 years (b) 5 years (c) 4 years (d) 6 years
26. 26.What is 75% of 920? (a) 6900 (b) 230 (c) 1380 (d) 690
27. 27.What is the units digit of 9^13? (a) 7 (b) 9 (c) 8 (d) 1
28. 28.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 5 cm (c) 8 cm (d) 4 cm
29. 29.A teacher has 33 pencils and 44 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 132 (b) 11 (c) 1 (d) 33
30. 30.If 9 mangoes cost ₹72, how much do 12 mangoes cost? (a) ₹96 (b) ₹104 (c) ₹864 (d) ₹75
31. 31.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 21 sq cm (c) 42 sq cm (d) 38 sq cm
32. 32.Every pair follows the same rule: 3 : 7, 4 : 14, 8 : 62. What is 9 : ? (a) 80 (b) 74 (c) 13 (d) 79
33. 33.What is 1/2 of 6? (a) 4 (b) 3 (c) 2 (d) 6
34. 34.If 23 March is a Friday, what day of the week is 20 April? (a) Friday (b) Sunday (c) Thursday (d) Saturday
35. 35.Which fraction is greater: 2/5 or 1/4? (a) 2/5 (b) They are equal (c) 1/4
36. 36.Which is the greatest: 0.192, 0.068, 0.23, 0.2? (a) 0.192 (b) 0.068 (c) 0.23 (d) 0.2
37. 37.What is the simple interest on ₹3000 at 2% per year for 5 years? (a) ₹60 (b) ₹3300 (c) ₹360 (d) ₹300
38. 38.If 3 pens cost ₹39, how much do 11 pens cost? (a) ₹429 (b) ₹47 (c) ₹143 (d) ₹156
39. 39.If 2x + 23 = 27, what is x? (a) 4 (b) 3 (c) 25 (d) 2
40. 40.If 6x + 30 = 108, what is x? (a) 78 (b) 23 (c) 14 (d) 13

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