Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 592 · 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.Every pair follows the same rule: 2 : 13, 5 : 16, 7 : 18. What is 8 : ? (a) 20 (b) 21 (c) 18 (d) 19
2. 2.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 5 min (c) 150 min (d) 25 min
3. 3.In how many years will ₹9500 earn ₹1140 simple interest at 4% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
4. 4.A teacher has 77 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 616 (b) 77 (c) 11 (d) 1
5. 5.If x/2 + 4 = 13, what is x? (a) 9 (b) 18 (c) 34 (d) 22
6. 6.If 2x − 4 = 20, what is x? (a) 13 (b) 12 (c) 24 (d) 8
7. 7.If 7x + 23 = 79, what is x? (a) 7 (b) 56 (c) 9 (d) 8
8. 8.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 2 min (c) 48 min (d) 24 min
9. 9.What is 25% of 780? (a) 390 (b) 585 (c) 195 (d) 1950
10. 10.What is the remainder when 137 is divided by 10? (a) 8 (b) 3 (c) 7 (d) 6
11. 11.What is 1/7 of 14? (a) 12 (b) 3 (c) 4 (d) 2
12. 12.What is 1/2 of 8? (a) 4 (b) 5 (c) 3 (d) 8
13. 13.Two ribbons are 21 cm and 35 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) 14 cm (c) 7 cm (d) 21 cm
14. 14.₹6500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹1300 (b) ₹8450 (c) ₹7800 (d) ₹7150
15. 15.If 3x + 20 = x + 44, what is x? (a) 12 (b) 32 (c) 6 (d) 13
16. 16.Every pair follows the same rule: 3 : 12, 4 : 16, 6 : 24. What is 9 : ? (a) 36 (b) 18 (c) 35 (d) 37
17. 17.What is the average of all the whole numbers from 29 to 37? (a) 4 (b) 33 (c) 8 (d) 34
18. 18.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 91 (b) 51 (c) 50 (d) 46
19. 19.Every pair follows the same rule: 4 : 16, 7 : 49, 8 : 64. What is 3 : ? (a) 15 (b) 9 (c) 10 (d) 12
20. 20.₹55 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹40 (b) ₹20 (c) ₹35 (d) ₹5
21. 21.If 8 notebooks cost ₹40, how much do 3 notebooks cost? (a) ₹15 (b) ₹20 (c) ₹35 (d) ₹120
22. 22.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 7 days (c) 28 days (d) 18 days
23. 23.The simple interest on ₹10000 for 2 years is ₹400. What is the rate per year? (a) 4% (b) 2% (c) 1% (d) 3%
24. 24.If 7 pens cost ₹112, how much do 9 pens cost? (a) ₹160 (b) ₹114 (c) ₹1008 (d) ₹144
25. 25.Which of these numbers is divisible by 11? (a) 5847 (b) 5830 (c) 5835 (d) 5822
26. 26.Which fraction is greater: 3/7 or 3/5? (a) They are equal (b) 3/5 (c) 3/7
27. 27.If 8x + 20 = 6x + 34, what is x? (a) 27 (b) 8 (c) 1 (d) 7
28. 28.Which fraction is greater: 1/4 or 1/3? (a) 1/4 (b) They are equal (c) 1/3
29. 29.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
30. 30.If 30 October is a Tuesday, what day of the week is 7 November? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
31. 31.If 30 May is a Monday, what day of the week is 2 June? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
32. 32.If 8x + 7 = 95, what is x? (a) 10 (b) 12 (c) 11 (d) 88
33. 33.What is the remainder when 341 is divided by 7? (a) 4 (b) 5 (c) 6 (d) 2
34. 34.What is 6/7 of 21? (a) 18 (b) 19 (c) 3 (d) 21
35. 35.If 12 October is a Tuesday, what day of the week is 24 October? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
36. 36.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 187 sq cm (c) 27 sq cm (d) 54 sq cm
37. 37.What is the smallest number you must add to 263 to make it divisible by 8? (a) 3 (b) 1 (c) 7 (d) 2
38. 38.Which is the greatest: 0.69, 0.596, 0.052, 0.6? (a) 0.69 (b) 0.596 (c) 0.052 (d) 0.6
39. 39.If 20 June is a Thursday, what day of the week is 1 July? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
40. 40.If 26 April is a Thursday, what day of the week is 1 May? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday

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