Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 602 · 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: 3 : 21, 6 : 36, 9 : 51. What is 8 : ? (a) 56 (b) 47 (c) 26 (d) 46
2. 2.Which is the greatest: 0.69, 0.525, 0.6, 0.099? (a) 0.69 (b) 0.525 (c) 0.6 (d) 0.099
3. 3.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 24 cm (d) 12 cm
4. 4.If 28 July is a Thursday, what day of the week is 16 August? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
5. 5.If 8 pens cost ₹48, how much do 4 pens cost? (a) ₹44 (b) ₹30 (c) ₹24 (d) ₹192
6. 6.₹91 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹63 (b) ₹7 (c) ₹70 (d) ₹28
7. 7.A shopkeeper buys a toy for ₹960 and sells it for ₹1152. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
8. 8.If x/3 + 11 = 13, what is x? (a) 2 (b) 72 (c) 6 (d) 28
9. 9.6 workers can build a wall in 10 days. How many days will 12 workers take, working at the same speed? (a) 20 days (b) 16 days (c) 4 days (d) 5 days
10. 10.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 55 (b) 140 (c) 700 (d) 280
11. 11.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
12. 12.1/3 + 2/6 = ? (a) 1/2 (b) 2/3 (c) 1/3 (d) 5/6
13. 13.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
14. 14.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 26 days (c) 11 days (d) 27 days
15. 15.What is 75% of 240? (a) 180 (b) 360 (c) 1800 (d) 60
16. 16.What is 3/8 of 24? (a) 12 (b) 15 (c) 3 (d) 9
17. 17.What is the value of the digit 5 in 76.158? (a) 0.005 (b) 5 (c) 0.05 (d) 0.5
18. 18.What is the smallest number you must add to 81 to make it divisible by 5? (a) 4 (b) 3 (c) 2 (d) 1
19. 19.4 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 12 days (c) 14 days (d) 16 days
20. 20.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 48 (b) 94 (c) 58 (d) 52
21. 21.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 4 cm (c) 8 cm (d) 5 cm
22. 22.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 54 cm (d) 15 cm
23. 23.Today is Monday. What day of the week will it be after 46 days? (a) Thursday (b) Friday (c) Sunday (d) Saturday
24. 24.Which of these numbers is divisible by 6? (a) 2145 (b) 2149 (c) 2139 (d) 2142
25. 25.Every pair follows the same rule: 2 : 6, 6 : 18, 8 : 24. What is 9 : ? (a) 27 (b) 13 (c) 28 (d) 26
26. 26.A teacher has 24 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 8 (c) 24 (d) 16
27. 27.What is the value of the digit 7 in 39.417? (a) 0.07 (b) 7 (c) 0.007 (d) 0.7
28. 28.7/8 + 5/6 = ? (a) 41/24 (b) 7/4 (c) 6/7 (d) 5/3
29. 29.What is 25% of 940? (a) 705 (b) 235 (c) 470 (d) 2350
30. 30.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 57 cm
31. 31.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 22 (b) 14 (c) 10 (d) 18
32. 32.Two ribbons are 50 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 50 cm (c) 30 cm (d) 10 cm
33. 33.What is the simple interest on ₹2000 at 4% per year for 2 years? (a) ₹160 (b) ₹2160 (c) ₹240 (d) ₹80
34. 34.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
35. 35.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 30 (b) 35 (c) 59 (d) 32
36. 36.A teacher has 12 pencils and 27 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) 12 (d) 15
37. 37.What is the average of all the whole numbers from 52 to 88? (a) 71 (b) 36 (c) 18 (d) 70
38. 38.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 21 cm (c) 36 cm (d) 42 cm
39. 39.Which is the smallest: 0.3, 0.031, 0.38, 0.267? (a) 0.3 (b) 0.031 (c) 0.38 (d) 0.267
40. 40.If 4 notebooks cost ₹12, how much do 6 notebooks cost? (a) ₹14 (b) ₹18 (c) ₹72 (d) ₹21

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