Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 94 · 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.If 24 March is a Sunday, what day of the week is 10 April? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
2. 2.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 16 (b) 30 (c) 31 (d) 60
3. 3.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 700 (b) 280 (c) 55 (d) 140
4. 4.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 112 min (c) 448 min (d) 44 min
5. 5.What is the value of the digit 4 in 24.763? (a) 0.4 (b) 4 (c) 0.04 (d) 40
6. 6.In how many years will ₹10000 earn ₹1200 simple interest at 3% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
7. 7.Every pair follows the same rule: 4 : 14, 5 : 23, 6 : 34. What is 2 : ? (a) 12 (b) 3 (c) 2 (d) 1
8. 8.A teacher has 45 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 3 (c) 45 (d) 9
9. 9.Which is the smallest: 0.132, 0.2, 0.023, 0.27? (a) 0.132 (b) 0.2 (c) 0.023 (d) 0.27
10. 10.If 2 pens cost ₹24, how much do 7 pens cost? (a) ₹29 (b) ₹168 (c) ₹84 (d) ₹96
11. 11.A teacher has 35 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 210 (c) 7 (d) 1
12. 12.Every pair follows the same rule: 2 : 1, 6 : 33, 8 : 61. What is 3 : ? (a) 5 (b) 6 (c) 8 (d) 7
13. 13.What is 1/6 of 42? (a) 14 (b) 7 (c) 35 (d) 8
14. 14.If 2 May is a Wednesday, what day of the week is 12 May? (a) Sunday (b) Monday (c) Saturday (d) Friday
15. 15.What is 15% of 400? (a) 340 (b) 600 (c) 120 (d) 60
16. 16.If 3x − 9 = 9, what is x? (a) 7 (b) 6 (c) 5 (d) 18
17. 17.Which fraction is greater: 1/4 or 3/10? (a) They are equal (b) 1/4 (c) 3/10
18. 18.A shopkeeper buys a toy for ₹620 and sells it for ₹868. What is his profit percent? (a) 35% (b) 41% (c) 45% (d) 40%
19. 19.1/8 + 3/4 = ? (a) 1 (b) 3/4 (c) 7/8 (d) 1/3
20. 20.Which is the greatest: 0.435, 0.054, 0.5, 0.56? (a) 0.435 (b) 0.054 (c) 0.5 (d) 0.56
21. 21.What is the average of all the whole numbers from 8 to 30? (a) 19 (b) 11 (c) 20 (d) 22
22. 22.2.84 + 9.6 = ? (a) 3.8 (b) 12.54 (c) 12.34 (d) 12.44
23. 23.Which fraction is greater: 3/8 or 10/11? (a) 3/8 (b) They are equal (c) 10/11
24. 24.If 6x + 11 = x + 21, what is x? (a) 4 (b) 3 (c) 2 (d) 1
25. 25.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 10 days (d) 8 days
26. 26.If x/2 + 6 = 10, what is x? (a) 32 (b) 4 (c) 8 (d) 14
27. 27.What is 1/2 of 20? (a) 11 (b) 20 (c) 10 (d) 9
28. 28.If 2 pens cost ₹6, how much do 3 pens cost? (a) ₹12 (b) ₹7 (c) ₹18 (d) ₹9
29. 29.If 9 pens cost ₹153, how much do 2 pens cost? (a) ₹306 (b) ₹51 (c) ₹146 (d) ₹34
30. 30.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 24 sq cm (c) 108 sq cm (d) 48 sq cm
31. 31.Which is the greatest: 0.711, 0.8, 0.82, 0.075? (a) 0.711 (b) 0.8 (c) 0.82 (d) 0.075
32. 32.A shopkeeper buys a toy for ₹900 and sells it for ₹1350. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
33. 33.Two ribbons are 40 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 40 cm (b) 8 cm (c) 24 cm (d) 4 cm
34. 34.₹80 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹70 (b) ₹10 (c) ₹40 (d) ₹80
35. 35.1/4 + 2/3 = ? (a) 5/6 (b) 1 (c) 3/7 (d) 11/12
36. 36.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 10 cm (c) 32 cm (d) 6 cm
37. 37.1/2 + 1/2 = ? (a) 1 (b) 1/2 (c) 2 (d) 3/2
38. 38.What is the average of 35, 10, 25 and 18? (a) 22 (b) 24 (c) 23 (d) 21
39. 39.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
40. 40.What is the remainder when 266 is divided by 5? (a) 4 (b) 0 (c) 1 (d) 2

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