Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 308 · 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.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 24 min (c) 20 min (d) 96 min
2. 2.1/2 + 8/9 = ? (a) 9/11 (b) 25/18 (c) 4/3 (d) 13/9
3. 3.What is the average of 27, 26, 17 and 38? (a) 28 (b) 36 (c) 26 (d) 27
4. 4.If 13 April is a Wednesday, what day of the week is 4 May? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
5. 5.A shopkeeper buys a toy for ₹140 and sells it for ₹105. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 35%
6. 6.Which is the smallest: 0.219, 0.35, 0.3, 0.057? (a) 0.219 (b) 0.35 (c) 0.3 (d) 0.057
7. 7.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 112 cm
8. 8.A shopkeeper buys a toy for ₹580 and sells it for ₹348. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
9. 9.Every pair follows the same rule: 3 : 12, 4 : 19, 6 : 39. What is 8 : ? (a) 67 (b) 32 (c) 59 (d) 17
10. 10.What is 3/5 of 35? (a) 21 (b) 7 (c) 28 (d) 14
11. 11.If 12 January is a Wednesday, what day of the week is 22 January? (a) Sunday (b) Saturday (c) Friday (d) Monday
12. 12.₹8000 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹8480 (b) ₹10400 (c) ₹10880 (d) ₹2400
13. 13.If 2x − 11 = 1, what is x? (a) 6 (b) 12 (c) 5 (d) 7
14. 14.What is the average of all the whole numbers from 7 to 31? (a) 24 (b) 19 (c) 20 (d) 12
15. 15.Every pair follows the same rule: 5 : 25, 8 : 64, 9 : 81. What is 6 : ? (a) 37 (b) 36 (c) 26 (d) 30
16. 16.₹1000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹1090 (b) ₹1540 (c) ₹450 (d) ₹1450
17. 17.If 4x + 1 = 13, what is x? (a) 4 (b) 3 (c) 12 (d) 2
18. 18.If 4 October is a Monday, what day of the week is 19 October? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
19. 19.What is the average of 20, 29, 27 and 36? (a) 27 (b) 28 (c) 29 (d) 30
20. 20.What is the value of the digit 3 in 46.318? (a) 0.03 (b) 0.003 (c) 0.3 (d) 3
21. 21.What is the average of all the whole numbers from 41 to 77? (a) 18 (b) 59 (c) 60 (d) 36
22. 22.Every pair follows the same rule: 4 : 12, 5 : 15, 6 : 18. What is 8 : ? (a) 16 (b) 23 (c) 25 (d) 24
23. 23.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 200 (b) 45 (c) 500 (d) 100
24. 24.A shopkeeper buys a toy for ₹840 and sells it for ₹714. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%
25. 25.Every pair follows the same rule: 3 : 9, 5 : 25, 9 : 81. What is 7 : ? (a) 49 (b) 13 (c) 21 (d) 53
26. 26.If 4x − 17 = 23, what is x? (a) 40 (b) 10 (c) 9 (d) 11
27. 27.If 8x + 9 = 105, what is x? (a) 13 (b) 12 (c) 96 (d) 11
28. 28.What is the smallest number you must add to 136 to make it divisible by 7? (a) 3 (b) 4 (c) 5 (d) 6
29. 29.A teacher has 24 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 32 (c) 24 (d) 8
30. 30.What is the average of 84, 86, 84, 68, 60 and 44? (a) 71 (b) 73 (c) 72 (d) 70
31. 31.What is the average of 62, 37, 39 and 58? (a) 48 (b) 49 (c) 51 (d) 50
32. 32.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 8 cm (c) 30 cm (d) 5 cm
33. 33.If 2 mangoes cost ₹26, how much do 12 mangoes cost? (a) ₹312 (b) ₹36 (c) ₹156 (d) ₹169
34. 34.What is the simple interest on ₹9000 at 4% per year for 2 years? (a) ₹9720 (b) ₹720 (c) ₹360 (d) ₹1080
35. 35.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 4 (b) 3 (c) 41 (d) 18
36. 36.Which of these numbers is divisible by 11? (a) 2742 (b) 2718 (c) 2736 (d) 2728
37. 37.If 4x − 46 = 6, what is x? (a) 12 (b) 14 (c) 13 (d) 52
38. 38.If 3x + 24 = 36, what is x? (a) 20 (b) 5 (c) 4 (d) 12
39. 39.A bag marked ₹1540 is sold at a 50% discount. What is its selling price? (a) ₹771 (b) ₹2310 (c) ₹770 (d) ₹1490
40. 40.Today is Sunday. What day of the week will it be after 40 days? (a) Sunday (b) Friday (c) Thursday (d) Saturday

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