Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 953 · 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 1/5 of 30? (a) 7 (b) 12 (c) 6 (d) 24
2. 2.What is 10% of 240? (a) 240 (b) 24 (c) 48 (d) 216
3. 3.What is the remainder when 97 is divided by 5? (a) 2 (b) 4 (c) 3 (d) 1
4. 4.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 2 min (c) 14 min (d) 40 min
5. 5.9.11 + 4.1 = ? (a) 9.52 (b) 13.31 (c) 13.11 (d) 13.21
6. 6.If 3x + 20 = 65, what is x? (a) 45 (b) 14 (c) 15 (d) 16
7. 7.Which of these numbers is divisible by 4? (a) 1151 (b) 1155 (c) 1152 (d) 1158
8. 8.A shopkeeper buys a toy for ₹920 and sells it for ₹736. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
9. 9.If 6 December is a Thursday, what day of the week is 16 December? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
10. 10.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 1 : ? (a) 4 (b) 1 (c) 2 (d) 7
11. 11.What is 15% of 460? (a) 391 (b) 69 (c) 138 (d) 690
12. 12.If 4 May is a Sunday, what day of the week is 12 May? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
13. 13.What is the smallest number you must add to 507 to make it divisible by 9? (a) 3 (b) 5 (c) 6 (d) 7
14. 14.What is the value of the digit 7 in 75.139? (a) 7 (b) 70 (c) 0.07 (d) 0.7
15. 15.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 15% (b) 5% (c) 30% (d) 10%
16. 16.What is the remainder when 232 is divided by 3? (a) 1 (b) 2 (c) 0
17. 17.What is the value of the digit 5 in 23.561? (a) 0.05 (b) 0.005 (c) 5 (d) 0.5
18. 18.If 3x + 26 = 35, what is x? (a) 4 (b) 9 (c) 2 (d) 3
19. 19.What is the simple interest on ₹6500 at 9% per year for 2 years? (a) ₹585 (b) ₹7670 (c) ₹1755 (d) ₹1170
20. 20.If 2x − 6 = 2, what is x? (a) 5 (b) 4 (c) 3 (d) 8
21. 21.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 39 cm (c) 112 cm (d) 23 cm
22. 22.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 132 sq cm (d) 144 sq cm
23. 23.Two ribbons are 48 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 48 cm (b) 12 cm (c) 6 cm (d) 36 cm
24. 24.A shopkeeper buys a toy for ₹640 and sells it for ₹832. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
25. 25.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 6 (c) 1 (d) 3
26. 26.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 160 cm (c) 9 cm (d) 18 cm
27. 27.Two ribbons are 22 cm and 99 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) 22 cm (c) 11 cm (d) 77 cm
28. 28.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 39 min (c) 378 min (d) 126 min
29. 29.If 1 August is a Monday, what day of the week is 9 August? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
30. 30.In how many years will ₹1500 earn ₹240 simple interest at 4% per year? (a) 5 years (b) 8 years (c) 4 years (d) 3 years
31. 31.The simple interest on ₹6500 for 4 years is ₹3120. What is the rate per year? (a) 11% (b) 48% (c) 12% (d) 13%
32. 32.What is the simple interest on ₹4000 at 2% per year for 5 years? (a) ₹4400 (b) ₹480 (c) ₹400 (d) ₹80
33. 33.If 3x + 13 = 34, what is x? (a) 8 (b) 6 (c) 7 (d) 21
34. 34.Two ribbons are 50 cm and 70 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) 20 cm (c) 50 cm (d) 10 cm
35. 35.What is 3/7 of 49? (a) 7 (b) 21 (c) 28 (d) 22
36. 36.The simple interest on ₹4000 for 5 years is ₹2400. What is the rate per year? (a) 60% (b) 11% (c) 12% (d) 13%
37. 37.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 21 (b) 20 (c) 40 (d) 14
38. 38.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
39. 39.2.91 + 9.2 = ? (a) 3.83 (b) 12.11 (c) 12.21 (d) 12.01
40. 40.What is 1/3 of 15? (a) 10 (b) 6 (c) 4 (d) 5

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