Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 516 · 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.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 17 (b) 38 (c) 2 (d) 1
2. 2.Every pair follows the same rule: 4 : 16, 6 : 36, 8 : 64. What is 3 : ? (a) 10 (b) 9 (c) 12 (d) 15
3. 3.Every pair follows the same rule: 2 : 10, 8 : 40, 9 : 45. What is 3 : ? (a) 11 (b) 15 (c) 14 (d) 16
4. 4.8.51 + 7.2 = ? (a) 15.71 (b) 9.23 (c) 15.81 (d) 15.61
5. 5.Which fraction is greater: 1/3 or 2/9? (a) 1/3 (b) They are equal (c) 2/9
6. 6.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
7. 7.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 42 cm (c) 108 cm (d) 24 cm
8. 8.1.43 + 1.5 = ? (a) 3.03 (b) 2.93 (c) 1.58 (d) 2.83
9. 9.If 18 November is a Thursday, what day of the week is 3 December? (a) Saturday (b) Thursday (c) Friday (d) Sunday
10. 10.Which of these numbers is divisible by 4? (a) 2671 (b) 2668 (c) 2667 (d) 2673
11. 11.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
12. 12.If 30 October is a Monday, what day of the week is 1 November? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
13. 13.What is 3/8 of 16? (a) 8 (b) 10 (c) 2 (d) 6
14. 14.A teacher has 48 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 48 (b) 12 (c) 6 (d) 36
15. 15.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 108 sq cm (d) 120 sq cm
16. 16.What is the remainder when 171 is divided by 5? (a) 0 (b) 1 (c) 2 (d) 4
17. 17.What is the smallest number you must add to 427 to make it divisible by 6? (a) 4 (b) 1 (c) 3 (d) 5
18. 18.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 54 sq cm (c) 27 sq cm (d) 170 sq cm
19. 19.The simple interest on ₹9500 for 3 years is ₹855. What is the rate per year? (a) 3% (b) 2% (c) 9% (d) 4%
20. 20.What is 1/8 of 24? (a) 6 (b) 3 (c) 21 (d) 4
21. 21.What is the smallest number you must add to 267 to make it divisible by 5? (a) 2 (b) 1 (c) 4 (d) 3
22. 22.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 51 (b) 25 (c) 30 (d) 50
23. 23.What is the remainder when 507 is divided by 9? (a) 4 (b) 6 (c) 3 (d) 2
24. 24.2.99 + 1.8 = ? (a) 4.69 (b) 4.79 (c) 3.17 (d) 4.89
25. 25.What is the simple interest on ₹8000 at 3% per year for 2 years? (a) ₹720 (b) ₹480 (c) ₹240 (d) ₹8480
26. 26.Every pair follows the same rule: 3 : 6, 4 : 13, 5 : 22. What is 2 : ? (a) 4 (b) 2 (c) 5 (d) 1
27. 27.If 10 January is a Wednesday, what day of the week is 26 January? (a) Thursday (b) Saturday (c) Sunday (d) Friday
28. 28.What is the simple interest on ₹9000 at 3% per year for 4 years? (a) ₹10080 (b) ₹270 (c) ₹1080 (d) ₹1350
29. 29.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 3 cm (c) 18 cm (d) 4 cm
30. 30.What is the average of 35, 23, 36, 22, 37 and 3? (a) 27 (b) 25 (c) 26 (d) 28
31. 31.Which is the smallest: 0.81, 0.051, 0.8, 0.766? (a) 0.81 (b) 0.051 (c) 0.8 (d) 0.766
32. 32.What is the units digit of 3^12? (a) 1 (b) 3 (c) 7 (d) 9
33. 33.4 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 20 days (b) 36 days (c) 5 days (d) 4 days
34. 34.What is 2/3 of 6? (a) 2 (b) 4 (c) 5 (d) 6
35. 35.If 10 December is a Monday, what day of the week is 25 December? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
36. 36.If 4x + 4 = 48, what is x? (a) 11 (b) 44 (c) 13 (d) 12
37. 37.6 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 28 days (b) 11 days (c) 7 days (d) 17 days
38. 38.A teacher has 15 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 1 (c) 20 (d) 15
39. 39.3/9 + 1/2 = ? (a) 4/11 (b) 8/9 (c) 7/9 (d) 5/6
40. 40.If 8 pens cost ₹40, how much do 9 pens cost? (a) ₹45 (b) ₹50 (c) ₹41 (d) ₹360

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad