Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 143 · 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 5 kites cost ₹30, how much do 6 kites cost? (a) ₹36 (b) ₹180 (c) ₹42 (d) ₹31
2. 2.If 7x + 1 = 29, what is x? (a) 5 (b) 28 (c) 3 (d) 4
3. 3.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹9 (b) ₹36 (c) ₹27 (d) ₹45
4. 4.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹84 (b) ₹400 (c) ₹336 (d) ₹504
5. 5.₹6500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹8060 (b) ₹7800 (c) ₹1300 (d) ₹6760
6. 6.What is the value of the digit 4 in 48.536? (a) 40 (b) 0.04 (c) 0.4 (d) 4
7. 7.If 2x + 5 = 9, what is x? (a) 3 (b) 7 (c) 4 (d) 2
8. 8.What is 1/3 of 15? (a) 4 (b) 5 (c) 6 (d) 10
9. 9.If 10 August is a Friday, what day of the week is 4 September? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
10. 10.6/8 + 2/3 = ? (a) 11/8 (b) 35/24 (c) 8/11 (d) 17/12
11. 11.What is the smallest number you must add to 773 to make it divisible by 10? (a) 7 (b) 6 (c) 3 (d) 8
12. 12.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 90 min (c) 21 min (d) 3 min
13. 13.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
14. 14.A teacher has 21 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 168 (b) 3 (c) 21 (d) 1
15. 15.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
16. 16.What is 50% of 880? (a) 880 (b) 441 (c) 4400 (d) 440
17. 17.6.79 + 1.6 = ? (a) 8.29 (b) 8.49 (c) 8.39 (d) 6.95
18. 18.Which fraction is greater: 1/4 or 2/7? (a) 1/4 (b) 2/7 (c) They are equal
19. 19.If 8x + 6 = 2x + 30, what is x? (a) 3 (b) 5 (c) 4 (d) 6
20. 20.If 8x − 47 = 1, what is x? (a) 48 (b) 7 (c) 6 (d) 5
21. 21.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
22. 22.A bag marked ₹1660 is sold at a 15% discount. What is its selling price? (a) ₹249 (b) ₹1411 (c) ₹1909 (d) ₹1645
23. 23.What is the remainder when 103 is divided by 10? (a) 4 (b) 3 (c) 7 (d) 2
24. 24.Two ribbons are 6 cm and 8 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 6 cm (c) 2 cm (d) 24 cm
25. 25.What is the value of the digit 9 in 54.692? (a) 9 (b) 0.09 (c) 0.9 (d) 0.009
26. 26.Today is Wednesday. What day of the week will it be after 56 days? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
27. 27.Which of these numbers is divisible by 4? (a) 958 (b) 956 (c) 953 (d) 963
28. 28.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 154 cm
29. 29.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 39 (b) 24 (c) 34 (d) 19
30. 30.What is the value of the digit 3 in 43.698? (a) 0.03 (b) 0.3 (c) 30 (d) 3
31. 31.If 6 pens cost ₹30, how much do 11 pens cost? (a) ₹330 (b) ₹35 (c) ₹55 (d) ₹60
32. 32.What is the value of the digit 6 in 37.561? (a) 0.006 (b) 0.6 (c) 6 (d) 0.06
33. 33.What is the value of the digit 9 in 19.352? (a) 9 (b) 0.9 (c) 0.09 (d) 90
34. 34.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 28 (c) 21 (d) 22
35. 35.What is the value of the digit 9 in 56.389? (a) 0.9 (b) 9 (c) 0.009 (d) 0.09
36. 36.A bag marked ₹780 is sold at a 15% discount. What is its selling price? (a) ₹765 (b) ₹663 (c) ₹897 (d) ₹117
37. 37.₹340 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹102 (b) ₹34 (c) ₹238 (d) ₹170
38. 38.1/2 + 4/5 = ? (a) 5/7 (b) 13/10 (c) 6/5 (d) 7/5
39. 39.The simple interest on ₹2000 for 4 years is ₹480. What is the rate per year? (a) 6% (b) 7% (c) 5% (d) 24%
40. 40.Two ribbons are 12 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 12 cm (c) 48 cm (d) 4 cm

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