Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 142 · 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. 1.6.21 + 1.8 = ? (a) 7.91 (b) 6.39 (c) 8.11 (d) 8.01
2. 2.What is the simple interest on ₹6000 at 10% per year for 2 years? (a) ₹600 (b) ₹1800 (c) ₹7200 (d) ₹1200
3. 3.If 13 March is a Friday, what day of the week is 25 March? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
4. 4.Which fraction is greater: 7/10 or 3/4? (a) They are equal (b) 7/10 (c) 3/4
5. 5.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 42 (b) 45 (c) 39 (d) 75
6. 6.8 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 29 days (c) 1 day (d) 28 days
7. 7.What is the value of the digit 5 in 95.726? (a) 0.05 (b) 50 (c) 5 (d) 0.5
8. 8.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 101 (b) 56 (c) 61 (d) 50
9. 9.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 30 sq cm (d) 22 sq cm
10. 10.What is the simple interest on ₹8500 at 2% per year for 4 years? (a) ₹170 (b) ₹9180 (c) ₹850 (d) ₹680
11. 11.What is the average of 9, 18, 10 and 51? (a) 21 (b) 22 (c) 23 (d) 24
12. 12.If 6x + 1 = 4x + 11, what is x? (a) 1 (b) 7 (c) 6 (d) 5
13. 13.What is the value of the digit 2 in 24.786? (a) 0.02 (b) 2 (c) 0.2 (d) 20
14. 14.What is the value of the digit 1 in 64.218? (a) 0.01 (b) 0.001 (c) 1 (d) 0.1
15. 15.What is the value of the digit 3 in 39.156? (a) 0.03 (b) 3 (c) 30 (d) 0.3
16. 16.What is the remainder when 196 is divided by 8? (a) 6 (b) 4 (c) 3 (d) 5
17. 17.7.07 + 8.6 = ? (a) 15.57 (b) 7.93 (c) 15.67 (d) 15.77
18. 18.If 7x + 11 = 2x + 66, what is x? (a) 12 (b) 11 (c) 13 (d) 10
19. 19.If 5 pens cost ₹30, how much do 10 pens cost? (a) ₹300 (b) ₹35 (c) ₹60 (d) ₹66
20. 20.Which is the greatest: 0.52, 0.5, 0.074, 0.482? (a) 0.52 (b) 0.5 (c) 0.074 (d) 0.482
21. 21.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 170 cm
22. 22.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 16 (c) 32 (d) 20
23. 23.If x/2 + 3 = 5, what is x? (a) 4 (b) 2 (c) 7 (d) 16
24. 24.A teacher has 18 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 3 (c) 126 (d) 18
25. 25.If 29 May is a Tuesday, what day of the week is 12 June? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
26. 26.If 10 April is a Thursday, what day of the week is 18 May? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
27. 27.What is the value of the digit 8 in 84.637? (a) 0.08 (b) 8 (c) 80 (d) 0.8
28. 28.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 74 (b) 42 (c) 40 (d) 50
29. 29.Which fraction is greater: 5/7 or 2/9? (a) 2/9 (b) They are equal (c) 5/7
30. 30.A shopkeeper buys a toy for ₹660 and sells it for ₹792. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
31. 31.If 5 October is a Thursday, what day of the week is 14 October? (a) Sunday (b) Friday (c) Monday (d) Saturday
32. 32.Which of these numbers is divisible by 6? (a) 3462 (b) 3461 (c) 3469 (d) 3463
33. 33.Which is the smallest: 0.3, 0.063, 0.279, 0.34? (a) 0.3 (b) 0.063 (c) 0.279 (d) 0.34
34. 34.Every pair follows the same rule: 2 : 18, 3 : 19, 9 : 25. What is 7 : ? (a) 63 (b) 24 (c) 22 (d) 23
35. 35.5.91 + 8.9 = ? (a) 6.8 (b) 14.71 (c) 14.91 (d) 14.81
36. 36.The simple interest on ₹3000 for 3 years is ₹270. What is the rate per year? (a) 9% (b) 3% (c) 4% (d) 2%
37. 37.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
38. 38.7/8 + 2/3 = ? (a) 19/12 (b) 37/24 (c) 3/2 (d) 9/11
39. 39.Every pair follows the same rule: 2 : 3, 7 : 48, 9 : 80. What is 4 : ? (a) 16 (b) 15 (c) 5 (d) 14
40. 40.2/7 + 1/2 = ? (a) 11/14 (b) 1/3 (c) 5/7 (d) 6/7

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