Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 362 · 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. 1.3/4 + 1/2 = ? (a) 3/2 (b) 2/3 (c) 1 (d) 5/4
2. 2.If 11 June is a Wednesday, what day of the week is 1 July? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
3. 3.What is the value of the digit 3 in 35.169? (a) 0.3 (b) 0.03 (c) 3 (d) 30
4. 4.Every pair follows the same rule: 3 : 19, 4 : 23, 5 : 27. What is 7 : ? (a) 34 (b) 35 (c) 23 (d) 36
5. 5.Two ribbons are 28 cm and 63 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) 28 cm (c) 7 cm (d) 35 cm
6. 6.If 21 August is a Monday, what day of the week is 2 September? (a) Friday (b) Saturday (c) Monday (d) Sunday
7. 7.What is the smallest number you must add to 155 to make it divisible by 11? (a) 8 (b) 9 (c) 10 (d) 1
8. 8.1/3 + 6/8 = ? (a) 25/24 (b) 9/8 (c) 13/12 (d) 7/11
9. 9.Which fraction is greater: 1/9 or 1/5? (a) They are equal (b) 1/5 (c) 1/9
10. 10.What is the smallest number you must add to 266 to make it divisible by 6? (a) 5 (b) 2 (c) 3 (d) 4
11. 11.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
12. 12.A bag marked ₹1300 is sold at a 10% discount. What is its selling price? (a) ₹1430 (b) ₹1290 (c) ₹1170 (d) ₹130
13. 13.What is the simple interest on ₹3000 at 3% per year for 4 years? (a) ₹450 (b) ₹360 (c) ₹3360 (d) ₹90
14. 14.Which of these numbers is divisible by 8? (a) 2808 (b) 2809 (c) 2805 (d) 2820
15. 15.What is the average of all the whole numbers from 39 to 69? (a) 15 (b) 55 (c) 54 (d) 30
16. 16.If 8 March is a Saturday, what day of the week is 16 March? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
17. 17.What is the average of 50, 49, 24, 41, 34 and 18? (a) 38 (b) 35 (c) 36 (d) 37
18. 18.What is 4/5 of 15? (a) 3 (b) 15 (c) 13 (d) 12
19. 19.A teacher has 12 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 12 (c) 84 (d) 1
20. 20.If 17 March is a Friday, what day of the week is 8 April? (a) Sunday (b) Friday (c) Saturday (d) Monday
21. 21.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
22. 22.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 100 min (b) 45 min (c) 500 min (d) 5 min
23. 23.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 17 (b) 3 (c) 2 (d) 39
24. 24.Two ribbons are 18 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) 12 cm (b) 3 cm (c) 6 cm (d) 18 cm
25. 25.Every pair follows the same rule: 3 : 13, 4 : 16, 9 : 31. What is 8 : ? (a) 18 (b) 28 (c) 29 (d) 27
26. 26.Which fraction is greater: 2/7 or 1/4? (a) 2/7 (b) They are equal (c) 1/4
27. 27.A teacher has 10 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 2 (c) 8 (d) 1
28. 28.What is the units digit of 9^13? (a) 7 (b) 8 (c) 9 (d) 1
29. 29.₹7000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹7350 (b) ₹8400 (c) ₹1050 (d) ₹8050
30. 30.Which of these numbers is divisible by 4? (a) 426 (b) 428 (c) 430 (d) 434
31. 31.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 40 days (c) 39 days (d) 9 days
32. 32.If 22 January is a Thursday, what day of the week is 3 February? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
33. 33.6.12 + 8.1 = ? (a) 14.32 (b) 14.22 (c) 6.93 (d) 14.12
34. 34.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 11 sq cm (d) 22 sq cm
35. 35.What is the remainder when 254 is divided by 6? (a) 4 (b) 2 (c) 1 (d) 3
36. 36.Every pair follows the same rule: 2 : 13, 4 : 15, 8 : 19. What is 3 : ? (a) 16 (b) 13 (c) 15 (d) 14
37. 37.What is the smallest number you must add to 182 to make it divisible by 3? (a) 2 (b) 1
38. 38.In how many years will ₹8500 earn ₹1275 simple interest at 3% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
39. 39.Every pair follows the same rule: 5 : 25, 6 : 36, 8 : 64. What is 9 : ? (a) 45 (b) 78 (c) 29 (d) 81
40. 40.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm

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