Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 506 · 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.Which of these numbers is divisible by 4? (a) 2699 (b) 2701 (c) 2696 (d) 2693
2. 2.What is the average of all the whole numbers from 19 to 33? (a) 27 (b) 7 (c) 14 (d) 26
3. 3.A shopkeeper buys a toy for ₹480 and sells it for ₹360. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
4. 4.Today is Monday. What day of the week will it be after 49 days? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
5. 5.What is the average of 68, 67, 63, 55 and 37? (a) 60 (b) 59 (c) 57 (d) 58
6. 6.What is the value of the digit 1 in 82.179? (a) 0.001 (b) 0.01 (c) 1 (d) 0.1
7. 7.What is the simple interest on ₹2500 at 9% per year for 3 years? (a) ₹225 (b) ₹900 (c) ₹3175 (d) ₹675
8. 8.What is the remainder when 211 is divided by 7? (a) 6 (b) 0 (c) 2 (d) 1
9. 9.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 61 (b) 1 (c) 16 (d) 2
10. 10.A teacher has 33 pencils and 44 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 132 (c) 1 (d) 11
11. 11.The simple interest on ₹1500 for 5 years is ₹675. What is the rate per year? (a) 9% (b) 8% (c) 10% (d) 45%
12. 12.Every pair follows the same rule: 3 : 7, 4 : 8, 8 : 12. What is 2 : ? (a) 8 (b) 6 (c) 5 (d) 7
13. 13.What is 5/7 of 84? (a) 60 (b) 72 (c) 12 (d) 24
14. 14.Which fraction is greater: 7/9 or 1/7? (a) They are equal (b) 7/9 (c) 1/7
15. 15.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
16. 16.Every pair follows the same rule: 2 : 4, 6 : 36, 7 : 49. What is 5 : ? (a) 7 (b) 25 (c) 23 (d) 10
17. 17.A teacher has 12 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 30 (c) 3 (d) 6
18. 18.A teacher has 12 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 20 (d) 12
19. 19.What is the units digit of 9^24? (a) 0 (b) 2 (c) 1 (d) 9
20. 20.If 6 pens cost ₹96, how much do 4 pens cost? (a) ₹64 (b) ₹384 (c) ₹94 (d) ₹80
21. 21.If 1 May is a Wednesday, what day of the week is 10 May? (a) Sunday (b) Saturday (c) Friday (d) Thursday
22. 22.Which fraction is greater: 3/4 or 5/9? (a) 5/9 (b) They are equal (c) 3/4
23. 23.If x/4 + 9 = 17, what is x? (a) 32 (b) 104 (c) 59 (d) 8
24. 24.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 2 : ? (a) 4 (b) 5 (c) 32 (d) 12
25. 25.Which of these numbers is divisible by 3? (a) 988 (b) 992 (c) 987 (d) 986
26. 26.Today is Thursday. What day of the week will it be after 38 days? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
27. 27.If 1 May is a Thursday, what day of the week is 14 May? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
28. 28.What is 6/7 of 14? (a) 13 (b) 2 (c) 14 (d) 12
29. 29.What is the average of all the whole numbers from 60 to 84? (a) 24 (b) 12 (c) 73 (d) 72
30. 30.What is the value of the digit 6 in 69.254? (a) 60 (b) 0.6 (c) 0.06 (d) 6
31. 31.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 28 (b) 29 (c) 36 (d) 74
32. 32.If 14 June is a Tuesday, what day of the week is 1 July? (a) Saturday (b) Thursday (c) Friday (d) Sunday
33. 33.Which fraction is greater: 1/6 or 1/5? (a) They are equal (b) 1/5 (c) 1/6
34. 34.If 20 September is a Monday, what day of the week is 20 October? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
35. 35.What is 1/4 of 36? (a) 9 (b) 27 (c) 18 (d) 10
36. 36.A bag marked ₹1180 is sold at a 10% discount. What is its selling price? (a) ₹1298 (b) ₹118 (c) ₹1170 (d) ₹1062
37. 37.If 9 pens cost ₹216, how much do 10 pens cost? (a) ₹264 (b) ₹217 (c) ₹240 (d) ₹2160
38. 38.If 4 notebooks cost ₹32, how much do 8 notebooks cost? (a) ₹36 (b) ₹64 (c) ₹256 (d) ₹72
39. 39.What is the value of the digit 2 in 24.619? (a) 2 (b) 0.2 (c) 0.02 (d) 20
40. 40.Which of these numbers is divisible by 6? (a) 781 (b) 774 (c) 777 (d) 771

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