Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 65 · 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 the smallest number you must add to 320 to make it divisible by 7? (a) 5 (b) 1 (c) 3 (d) 2
2. 2.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
3. 3.Which fraction is greater: 1/3 or 3/4? (a) 3/4 (b) 1/3 (c) They are equal
4. 4.₹2000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹2060 (b) ₹2240 (c) ₹240 (d) ₹2300
5. 5.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 4 min (c) 160 min (d) 40 min
6. 6.If 9 mangoes cost ₹117, how much do 2 mangoes cost? (a) ₹110 (b) ₹26 (c) ₹39 (d) ₹234
7. 7.If x/2 + 12 = 16, what is x? (a) 8 (b) 56 (c) 20 (d) 4
8. 8.What is 1/2 of 16? (a) 9 (b) 7 (c) 16 (d) 8
9. 9.If 7x − 17 = 4, what is x? (a) 4 (b) 3 (c) 21 (d) 2
10. 10.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 4 cm (c) 3 cm (d) 6 cm
11. 11.₹180 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹18 (b) ₹126 (c) ₹90 (d) ₹54
12. 12.Every pair follows the same rule: 3 : 17, 4 : 18, 8 : 22. What is 5 : ? (a) 20 (b) 18 (c) 19 (d) 21
13. 13.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 64 (b) 46 (c) 65 (d) 4
14. 14.What is the units digit of 3^47? (a) 3 (b) 7 (c) 1 (d) 9
15. 15.Which of these numbers is divisible by 9? (a) 4695 (b) 4700 (c) 4715 (d) 4698
16. 16.A teacher has 18 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 3 (c) 9 (d) 54
17. 17.What is the smallest number you must add to 250 to make it divisible by 6? (a) 2 (b) 4 (c) 1 (d) 3
18. 18.What is the average of 14, 23, 14 and 49? (a) 25 (b) 27 (c) 24 (d) 26
19. 19.The simple interest on ₹5000 for 3 years is ₹1800. What is the rate per year? (a) 12% (b) 11% (c) 36% (d) 13%
20. 20.1.25 + 3.1 = ? (a) 4.35 (b) 1.56 (c) 4.25 (d) 4.45
21. 21.Which of these numbers is divisible by 9? (a) 7359 (b) 7363 (c) 7362 (d) 7372
22. 22.Which fraction is greater: 1/5 or 1/4? (a) They are equal (b) 1/4 (c) 1/5
23. 23.If 7x − 64 = 27, what is x? (a) 13 (b) 14 (c) 12 (d) 91
24. 24.What is the simple interest on ₹5000 at 3% per year for 2 years? (a) ₹300 (b) ₹5300 (c) ₹150 (d) ₹450
25. 25.₹5000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹5150 (b) ₹600 (c) ₹5600 (d) ₹5750
26. 26.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
27. 27.What is 1/3 of 6? (a) 4 (b) 1 (c) 2 (d) 3
28. 28.If 8x + 5 = x + 40, what is x? (a) 4 (b) 5 (c) 6 (d) 7
29. 29.If 7x + 10 = 5x + 18, what is x? (a) 14 (b) 4 (c) 6 (d) 5
30. 30.A teacher has 10 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 35 (c) 1 (d) 10
31. 31.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 220 cm (c) 62 cm (d) 51 cm
32. 32.What is 2/3 of 36? (a) 25 (b) 12 (c) 36 (d) 24
33. 33.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 12 cm (d) 6 cm
34. 34.What is the simple interest on ₹3000 at 12% per year for 2 years? (a) ₹3720 (b) ₹360 (c) ₹1080 (d) ₹720
35. 35.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) 4 (b) 8 (c) 20 (d) 2
36. 36.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 25 min (b) 5 min (c) 150 min (d) 30 min
37. 37.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 48 cm (c) 5 cm (d) 10 cm
38. 38.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 32 cm (c) 96 cm (d) 20 cm
39. 39.What is the units digit of 8^30? (a) 2 (b) 6 (c) 8 (d) 4
40. 40.If 7 pens cost ₹133, how much do 2 pens cost? (a) ₹38 (b) ₹128 (c) ₹57 (d) ₹266

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