Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 712 · 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 units digit of 3^19? (a) 1 (b) 9 (c) 7 (d) 3
2. 2.1.92 + 2.5 = ? (a) 4.52 (b) 4.42 (c) 4.32 (d) 2.17
3. 3.If 15 August is a Friday, what day of the week is 11 September? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
4. 4.The simple interest on ₹10000 for 2 years is ₹1000. What is the rate per year? (a) 4% (b) 5% (c) 6% (d) 10%
5. 5.What is the remainder when 356 is divided by 11? (a) 7 (b) 5 (c) 4 (d) 3
6. 6.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 42 cm (c) 24 cm (d) 108 cm
7. 7.A teacher has 24 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 3 (c) 120 (d) 6
8. 8.Which fraction is greater: 4/11 or 1/7? (a) 1/7 (b) They are equal (c) 4/11
9. 9.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 15 sq cm (d) 39 sq cm
10. 10.What is the value of the digit 4 in 68.547? (a) 0.004 (b) 4 (c) 0.04 (d) 0.4
11. 11.A teacher has 6 pencils and 8 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 6 (c) 2 (d) 24
12. 12.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 5% (b) 35% (c) 6% (d) 10%
13. 13.Every pair follows the same rule: 2 : 14, 4 : 16, 8 : 20. What is 5 : ? (a) 16 (b) 17 (c) 35 (d) 18
14. 14.A shopkeeper buys a toy for ₹120 and sells it for ₹96. What is his loss percent? (a) 20% (b) 15% (c) 24% (d) 25%
15. 15.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 8 cm (c) 98 cm (d) 9 cm
16. 16.If 27 July is a Thursday, what day of the week is 5 August? (a) Sunday (b) Monday (c) Saturday (d) Friday
17. 17.What is the units digit of 2^33? (a) 4 (b) 8 (c) 2 (d) 6
18. 18.If 24 April is a Wednesday, what day of the week is 4 May? (a) Sunday (b) Monday (c) Saturday (d) Friday
19. 19.Which fraction is greater: 8/11 or 3/4? (a) 3/4 (b) They are equal (c) 8/11
20. 20.What is the remainder when 574 is divided by 11? (a) 2 (b) 3 (c) 1 (d) 9
21. 21.3 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 16 days (d) 11 days
22. 22.What is the remainder when 126 is divided by 4? (a) 2 (b) 0 (c) 3 (d) 1
23. 23.3.48 + 6.4 = ? (a) 9.78 (b) 9.98 (c) 4.12 (d) 9.88
24. 24.In how many years will ₹6500 earn ₹650 simple interest at 5% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
25. 25.What is the units digit of 9^51? (a) 7 (b) 8 (c) 9 (d) 1
26. 26.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 4 cm (c) 2 cm (d) 3 cm
27. 27.9.93 + 5.2 = ? (a) 15.13 (b) 10.45 (c) 15.03 (d) 15.23
28. 28.Every pair follows the same rule: 2 : 9, 4 : 19, 5 : 24. What is 8 : ? (a) 15 (b) 38 (c) 39 (d) 40
29. 29.The simple interest on ₹2000 for 5 years is ₹900. What is the rate per year? (a) 8% (b) 45% (c) 10% (d) 9%
30. 30.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 12 cm (d) 22 cm
31. 31.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
32. 32.What is the units digit of 2^39? (a) 6 (b) 2 (c) 8 (d) 4
33. 33.Every pair follows the same rule: 2 : 3, 3 : 8, 4 : 15. What is 9 : ? (a) 50 (b) 81 (c) 80 (d) 10
34. 34.A bag marked ₹1060 is sold at a 10% discount. What is its selling price? (a) ₹1166 (b) ₹106 (c) ₹1050 (d) ₹954
35. 35.What is 3/8 of 72? (a) 45 (b) 9 (c) 36 (d) 27
36. 36.If 4x − 1 = 59, what is x? (a) 14 (b) 60 (c) 15 (d) 16
37. 37.A shopkeeper buys a toy for ₹980 and sells it for ₹1176. What is his profit percent? (a) 20% (b) 21% (c) 25% (d) 15%
38. 38.1/6 + 2/4 = ? (a) 3/10 (b) 2/3 (c) 3/4 (d) 7/12
39. 39.Two ribbons are 40 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 50 cm (b) 5 cm (c) 40 cm (d) 10 cm
40. 40.₹243 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹216 (b) ₹217 (c) ₹243 (d) ₹27

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