Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 84 · 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.What is the units digit of 4^27? (a) 6 (b) 3 (c) 4 (d) 5
2. 2.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 35 (c) 84 (d) 56
3. 3.If 11 August is a Monday, what day of the week is 19 August? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
4. 4.Which fraction is greater: 1/4 or 3/11? (a) 3/11 (b) They are equal (c) 1/4
5. 5.If 2x − 4 = 8, what is x? (a) 6 (b) 7 (c) 12 (d) 2
6. 6.What is the value of the digit 9 in 56.943? (a) 9 (b) 0.009 (c) 0.09 (d) 0.9
7. 7.If 13 October is a Friday, what day of the week is 12 November? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
8. 8.What is the remainder when 77 is divided by 3? (a) 0 (b) 1 (c) 2
9. 9.If 14 January is a Monday, what day of the week is 23 January? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
10. 10.The simple interest on ₹6500 for 3 years is ₹1950. What is the rate per year? (a) 10% (b) 9% (c) 30% (d) 11%
11. 11.What is the smallest number you must add to 306 to make it divisible by 11? (a) 3 (b) 1 (c) 2 (d) 9
12. 12.₹2000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹2360 (b) ₹2120 (c) ₹2480 (d) ₹360
13. 13.The simple interest on ₹7500 for 5 years is ₹1875. What is the rate per year? (a) 6% (b) 25% (c) 4% (d) 5%
14. 14.If 17 May is a Sunday, what day of the week is 4 June? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
15. 15.Every pair follows the same rule: 2 : 12, 4 : 16, 6 : 20. What is 8 : ? (a) 48 (b) 18 (c) 24 (d) 25
16. 16.Which is the greatest: 0.68, 0.541, 0.062, 0.6? (a) 0.68 (b) 0.541 (c) 0.062 (d) 0.6
17. 17.If 12 September is a Sunday, what day of the week is 15 October? (a) Friday (b) Sunday (c) Thursday (d) Saturday
18. 18.What is the smallest number you must add to 164 to make it divisible by 3? (a) 1 (b) 2
19. 19.1/3 + 2/6 = ? (a) 1/3 (b) 2/3 (c) 1/2 (d) 5/6
20. 20.Every pair follows the same rule: 3 : 22, 5 : 32, 7 : 42. What is 2 : ? (a) 16 (b) 18 (c) 21 (d) 17
21. 21.If x/2 + 8 = 12, what is x? (a) 8 (b) 16 (c) 4 (d) 40
22. 22.Every pair follows the same rule: 2 : 1, 5 : 22, 6 : 33. What is 8 : ? (a) 55 (b) 60 (c) 61 (d) 62
23. 23.Every pair follows the same rule: 3 : 6, 4 : 9, 5 : 12. What is 7 : ? (a) 19 (b) 14 (c) 10 (d) 18
24. 24.3/4 + 1/2 = ? (a) 3/2 (b) 1 (c) 5/4 (d) 2/3
25. 25.2/7 + 1/2 = ? (a) 6/7 (b) 11/14 (c) 5/7 (d) 1/3
26. 26.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 8 days (c) 11 days (d) 13 days
27. 27.Which fraction is greater: 7/12 or 8/11? (a) They are equal (b) 7/12 (c) 8/11
28. 28.Which fraction is greater: 2/3 or 2/5? (a) 2/5 (b) 2/3 (c) They are equal
29. 29.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 9 cm (c) 8 cm (d) 16 cm
30. 30.If 4x + 10 = x + 16, what is x? (a) 2 (b) 4 (c) 3 (d) 1
31. 31.6/7 + 4/5 = ? (a) 57/35 (b) 58/35 (c) 59/35 (d) 5/6
32. 32.₹9500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹10545 (b) ₹12635 (c) ₹2090 (d) ₹11590
33. 33.What is the average of 57, 58, 43, 44, 42 and 26? (a) 46 (b) 44 (c) 54 (d) 45
34. 34.₹9500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹9880 (b) ₹9690 (c) ₹380 (d) ₹10070
35. 35.If 30 May is a Thursday, what day of the week is 14 June? (a) Friday (b) Sunday (c) Thursday (d) Saturday
36. 36.A teacher has 60 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 24 (c) 6 (d) 60
37. 37.What is the average of 66, 73, 47, 65 and 39? (a) 59 (b) 58 (c) 57 (d) 60
38. 38.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 32 min (b) 4 min (c) 240 min (d) 60 min
39. 39.Every pair follows the same rule: 2 : 2, 5 : 23, 9 : 79. What is 4 : ? (a) 9 (b) 14 (c) 4 (d) 15
40. 40.₹132 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹44 (b) ₹66 (c) ₹88 (d) ₹132

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