Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 750 · 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: 4 : 8, 6 : 10, 7 : 11. What is 5 : ? (a) 11 (b) 10 (c) 9 (d) 8
2. 2.A teacher has 60 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 12 (c) 60 (d) 6
3. 3.What is 20% of 420? (a) 168 (b) 840 (c) 336 (d) 84
4. 4.Today is Tuesday. What day of the week will it be after 75 days? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
5. 5.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 32 sq cm (c) 16 sq cm (d) 72 sq cm
6. 6.The simple interest on ₹3500 for 2 years is ₹770. What is the rate per year? (a) 22% (b) 12% (c) 10% (d) 11%
7. 7.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 15% (b) 22% (c) 10% (d) 5%
8. 8.Every pair follows the same rule: 6 : 54, 7 : 63, 8 : 72. What is 3 : ? (a) 26 (b) 27 (c) 51 (d) 28
9. 9.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 66 cm
10. 10.What is the value of the digit 2 in 59.268? (a) 0.02 (b) 0.002 (c) 2 (d) 0.2
11. 11.What is the value of the digit 5 in 57.132? (a) 0.5 (b) 0.05 (c) 50 (d) 5
12. 12.What is the smallest number you must add to 109 to make it divisible by 4? (a) 2 (b) 1 (c) 3
13. 13.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 23 cm (c) 46 cm (d) 42 cm
14. 14.Which of these numbers is divisible by 6? (a) 2167 (b) 2161 (c) 2157 (d) 2160
15. 15.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 20 cm (d) 10 cm
16. 16.What is the average of all the whole numbers from 19 to 39? (a) 30 (b) 10 (c) 20 (d) 29
17. 17.If 9 notebooks cost ₹81, how much do 4 notebooks cost? (a) ₹45 (b) ₹324 (c) ₹76 (d) ₹36
18. 18.If 7x − 7 = 7, what is x? (a) 3 (b) 14 (c) 1 (d) 2
19. 19.Every pair follows the same rule: 3 : 9, 5 : 25, 6 : 36. What is 8 : ? (a) 58 (b) 24 (c) 64 (d) 14
20. 20.What is 30% of 240? (a) 144 (b) 720 (c) 72 (d) 168
21. 21.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 7 cm (d) 8 cm
22. 22.What is the simple interest on ₹8500 at 4% per year for 5 years? (a) ₹1700 (b) ₹2040 (c) ₹340 (d) ₹10200
23. 23.Which is the greatest: 0.7, 0.78, 0.039, 0.657? (a) 0.7 (b) 0.78 (c) 0.039 (d) 0.657
24. 24.If 4 notebooks cost ₹20, how much do 7 notebooks cost? (a) ₹40 (b) ₹35 (c) ₹140 (d) ₹23
25. 25.₹8500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹9265 (b) ₹510 (c) ₹9010 (d) ₹8755
26. 26.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 300 (b) 750 (c) 55 (d) 150
27. 27.Two ribbons are 8 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 1 cm (c) 8 cm (d) 40 cm
28. 28.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 168 min (b) 84 min (c) 2 min (d) 26 min
29. 29.Which of these numbers is divisible by 4? (a) 764 (b) 763 (c) 766 (d) 770
30. 30.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 200 sq cm (c) 58 sq cm (d) 180 sq cm
31. 31.Which of these numbers is divisible by 8? (a) 2548 (b) 2554 (c) 2561 (d) 2552
32. 32.Today is Thursday. What day of the week will it be after 87 days? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
33. 33.What is 5% of 820? (a) 410 (b) 779 (c) 41 (d) 82
34. 34.What is the simple interest on ₹9500 at 9% per year for 3 years? (a) ₹12065 (b) ₹2565 (c) ₹3420 (d) ₹855
35. 35.Which is the greatest: 0.046, 0.21, 0.2, 0.165? (a) 0.046 (b) 0.21 (c) 0.2 (d) 0.165
36. 36.Every pair follows the same rule: 2 : 15, 5 : 18, 6 : 19. What is 4 : ? (a) 17 (b) 16 (c) 18 (d) 19
37. 37.If 11 March is a Thursday, what day of the week is 11 April? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
38. 38.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 150 (c) 30 (d) 60
39. 39.What is 30% of 700? (a) 210 (b) 2100 (c) 490 (d) 420
40. 40.5/8 + 2/6 = ? (a) 1 (b) 1/2 (c) 11/12 (d) 23/24

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