Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 473 · 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. 1.5.25 + 6.5 = ? (a) 11.85 (b) 5.9 (c) 11.65 (d) 11.75
2. 2.Today is Friday. What day of the week will it be after 70 days? (a) Thursday (b) Friday (c) Sunday (d) Saturday
3. 3.What is the smallest number you must add to 301 to make it divisible by 12? (a) 10 (b) 1 (c) 9 (d) 11
4. 4.A teacher has 24 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 4 (c) 8 (d) 24
5. 5.1/2 + 1/4 = ? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1
6. 6.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 21 sq cm (c) 72 sq cm (d) 42 sq cm
7. 7.Today is Wednesday. What day of the week will it be after 40 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
8. 8.What is the value of the digit 4 in 17.483? (a) 4 (b) 0.4 (c) 0.004 (d) 0.04
9. 9.1.04 + 3.4 = ? (a) 4.44 (b) 4.34 (c) 4.54 (d) 1.38
10. 10.Every pair follows the same rule: 2 : 1, 8 : 13, 9 : 15. What is 4 : ? (a) 6 (b) 4 (c) 5 (d) 7
11. 11.What is the remainder when 237 is divided by 5? (a) 1 (b) 2 (c) 4 (d) 3
12. 12.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
13. 13.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 42% (b) 15% (c) 10% (d) 5%
14. 14.Every pair follows the same rule: 3 : 8, 4 : 10, 9 : 20. What is 5 : ? (a) 12 (b) 10 (c) 13 (d) 11
15. 15.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 44 sq cm (c) 130 sq cm (d) 22 sq cm
16. 16.Two ribbons are 20 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 5 cm (c) 20 cm (d) 10 cm
17. 17.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 41 (c) 53 (d) 16
18. 18.₹4500 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹4725 (b) ₹5175 (c) ₹4950 (d) ₹450
19. 19.What is the average of all the whole numbers from 10 to 18? (a) 15 (b) 8 (c) 14 (d) 4
20. 20.If 1 May is a Saturday, what day of the week is 9 May? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
21. 21.₹518 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹37 (b) ₹259 (c) ₹185 (d) ₹333
22. 22.What is 30% of 760? (a) 228 (b) 456 (c) 532 (d) 2280
23. 23.A teacher has 20 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 4 (c) 8 (d) 2
24. 24.What is the units digit of 4^44? (a) 5 (b) 4 (c) 7 (d) 6
25. 25.What is the average of 65, 60, 67 and 44? (a) 61 (b) 59 (c) 58 (d) 60
26. 26.A teacher has 36 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 45 (c) 36 (d) 9
27. 27.A shopkeeper buys a toy for ₹680 and sells it for ₹816. What is his profit percent? (a) 20% (b) 15% (c) 21% (d) 25%
28. 28.What is the simple interest on ₹1500 at 12% per year for 5 years? (a) ₹2400 (b) ₹1080 (c) ₹180 (d) ₹900
29. 29.2.12 + 7.5 = ? (a) 9.62 (b) 9.72 (c) 2.87 (d) 9.52
30. 30.If x/3 + 14 = 17, what is x? (a) 3 (b) 93 (c) 9 (d) 37
31. 31.What is the units digit of 3^22? (a) 7 (b) 3 (c) 1 (d) 9
32. 32.If 2 kites cost ₹8, how much do 6 kites cost? (a) ₹28 (b) ₹48 (c) ₹24 (d) ₹12
33. 33.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 26%
34. 34.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
35. 35.₹6000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹240 (b) ₹6240 (c) ₹6120 (d) ₹6360
36. 36.What is the average of all the whole numbers from 47 to 53? (a) 51 (b) 6 (c) 50 (d) 3
37. 37.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 20 cm (d) 11 cm
38. 38.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) 20 min (b) 2 min (c) 84 min (d) 42 min
39. 39.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 700 min (b) 5 min (c) 140 min (d) 55 min
40. 40.Every pair follows the same rule: 2 : 11, 3 : 16, 8 : 71. What is 9 : ? (a) 18 (b) 82 (c) 88 (d) 89

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