Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 404 · 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 smallest number you must add to 61 to make it divisible by 6? (a) 4 (b) 3 (c) 5 (d) 1
2. 2.Which fraction is greater: 4/5 or 1/4? (a) 4/5 (b) They are equal (c) 1/4
3. 3.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 42 min (c) 20 min (d) 84 min
4. 4.If 6x + 12 = 5x + 15, what is x? (a) 4 (b) 5 (c) 3 (d) 27
5. 5.Which of these numbers is divisible by 6? (a) 4128 (b) 4130 (c) 4127 (d) 4135
6. 6.Every pair follows the same rule: 2 : 10, 4 : 22, 6 : 42. What is 7 : ? (a) 55 (b) 52 (c) 15 (d) 35
7. 7.If 3x + 11 = x + 27, what is x? (a) 19 (b) 4 (c) 8 (d) 9
8. 8.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 24 (b) 25 (c) 48 (d) 14
9. 9.What is the average of 23, 30, 23, 29 and 35? (a) 35 (b) 28 (c) 27 (d) 29
10. 10.A bag marked ₹720 is sold at a 30% discount. What is its selling price? (a) ₹216 (b) ₹504 (c) ₹936 (d) ₹690
11. 11.What is 1/3 of 12? (a) 4 (b) 3 (c) 8 (d) 5
12. 12.Today is Monday. What day of the week will it be after 67 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
13. 13.If 5 pens cost ₹30, how much do 4 pens cost? (a) ₹30 (b) ₹29 (c) ₹24 (d) ₹120
14. 14.If 3 notebooks cost ₹24, how much do 11 notebooks cost? (a) ₹88 (b) ₹264 (c) ₹96 (d) ₹32
15. 15.1.68 + 8.1 = ? (a) 9.68 (b) 9.88 (c) 9.78 (d) 2.49
16. 16.5.22 + 6.7 = ? (a) 11.82 (b) 12.02 (c) 5.89 (d) 11.92
17. 17.What is 2/3 of 21? (a) 7 (b) 21 (c) 14 (d) 15
18. 18.Every pair follows the same rule: 5 : 22, 6 : 26, 7 : 30. What is 3 : ? (a) 13 (b) 14 (c) 15 (d) 20
19. 19.If 5x − 5 = 20, what is x? (a) 6 (b) 3 (c) 5 (d) 25
20. 20.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 66 (b) 16 (c) 62 (d) 74
21. 21.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 8 : ? (a) 60 (b) 64 (c) 24 (d) 14
22. 22.If 5 July is a Thursday, what day of the week is 17 July? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
23. 23.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 27 days (c) 26 days (d) 15 days
24. 24.Which is the smallest: 0.074, 0.26, 0.2, 0.172? (a) 0.074 (b) 0.26 (c) 0.2 (d) 0.172
25. 25.₹462 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹42 (b) ₹231 (c) ₹252 (d) ₹210
26. 26.If 3 kites cost ₹57, how much do 9 kites cost? (a) ₹171 (b) ₹513 (c) ₹190 (d) ₹63
27. 27.If 4x − 13 = 43, what is x? (a) 15 (b) 56 (c) 13 (d) 14
28. 28.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
29. 29.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 50 (c) 67 (d) 18
30. 30.Every pair follows the same rule: 2 : 11, 4 : 15, 5 : 17. What is 9 : ? (a) 26 (b) 18 (c) 25 (d) 24
31. 31.Which fraction is greater: 3/5 or 3/7? (a) 3/5 (b) 3/7 (c) They are equal
32. 32.What is the value of the digit 6 in 69.415? (a) 0.06 (b) 0.6 (c) 6 (d) 60
33. 33.Which of these numbers is divisible by 6? (a) 3557 (b) 3558 (c) 3566 (d) 3559
34. 34.₹1500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹90 (b) ₹1590 (c) ₹1635 (d) ₹1545
35. 35.What is the average of all the whole numbers from 24 to 34? (a) 5 (b) 29 (c) 30 (d) 10
36. 36.What is the remainder when 492 is divided by 7? (a) 3 (b) 5 (c) 1 (d) 2
37. 37.A teacher has 88 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 792 (b) 11 (c) 88 (d) 1
38. 38.1/3 + 8/9 = ? (a) 4/3 (b) 10/9 (c) 3/4 (d) 11/9
39. 39.Every pair follows the same rule: 2 : 6, 8 : 30, 9 : 34. What is 4 : ? (a) 12 (b) 8 (c) 15 (d) 14
40. 40.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 105 (b) 315 (c) 36 (d) 210

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