Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 591 · 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.Today is Sunday. What day of the week will it be after 18 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
2. 2.What is 1/2 of 22? (a) 22 (b) 12 (c) 11 (d) 10
3. 3.Every pair follows the same rule: 3 : 27, 4 : 36, 9 : 81. What is 6 : ? (a) 30 (b) 53 (c) 55 (d) 54
4. 4.What is the value of the digit 9 in 12.697? (a) 0.09 (b) 0.009 (c) 9 (d) 0.9
5. 5.Which fraction is greater: 3/10 or 1/4? (a) They are equal (b) 3/10 (c) 1/4
6. 6.What is the units digit of 3^26? (a) 1 (b) 7 (c) 3 (d) 9
7. 7.6.45 + 8.8 = ? (a) 7.33 (b) 15.35 (c) 15.25 (d) 15.15
8. 8.What is the simple interest on ₹9500 at 6% per year for 4 years? (a) ₹2850 (b) ₹2280 (c) ₹570 (d) ₹11780
9. 9.What is the value of the digit 7 in 67.312? (a) 7 (b) 0.7 (c) 70 (d) 0.07
10. 10.What is 10% of 920? (a) 920 (b) 184 (c) 828 (d) 92
11. 11.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 20 (c) 77 (d) 56
12. 12.Which of these numbers is divisible by 11? (a) 5555 (b) 5553 (c) 5563 (d) 5567
13. 13.What is 1/9 of 27? (a) 24 (b) 4 (c) 3 (d) 6
14. 14.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 1 day (b) 13 days (c) 22 days (d) 21 days
15. 15.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 50 cm (c) 7 cm (d) 12 cm
16. 16.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 112 min (c) 56 min (d) 22 min
17. 17.Which is the smallest: 0.013, 0.4, 0.322, 0.48? (a) 0.013 (b) 0.4 (c) 0.322 (d) 0.48
18. 18.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
19. 19.A teacher has 8 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 4 (c) 2 (d) 28
20. 20.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 28 (b) 36 (c) 3 (d) 27
21. 21.Which fraction is greater: 11/12 or 2/7? (a) 2/7 (b) 11/12 (c) They are equal
22. 22.4.61 + 9.5 = ? (a) 5.56 (b) 14.21 (c) 14.11 (d) 14.01
23. 23.If 26 October is a Monday, what day of the week is 14 November? (a) Monday (b) Saturday (c) Sunday (d) Friday
24. 24.A shopkeeper buys a toy for ₹120 and sells it for ₹108. What is his loss percent? (a) 15% (b) 12% (c) 10% (d) 5%
25. 25.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
26. 26.What is the remainder when 619 is divided by 11? (a) 4 (b) 2 (c) 8 (d) 3
27. 27.If 3 mangoes cost ₹75, how much do 5 mangoes cost? (a) ₹150 (b) ₹125 (c) ₹77 (d) ₹375
28. 28.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 38 (b) 24 (c) 18 (d) 32
29. 29.What is 3/5 of 30? (a) 12 (b) 24 (c) 6 (d) 18
30. 30.Every pair follows the same rule: 4 : 15, 6 : 35, 7 : 48. What is 8 : ? (a) 19 (b) 61 (c) 64 (d) 63
31. 31.What is the units digit of 8^49? (a) 2 (b) 6 (c) 8 (d) 4
32. 32.In how many years will ₹2000 earn ₹440 simple interest at 11% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
33. 33.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 49 sq cm (d) 13 sq cm
34. 34.What is the smallest number you must add to 298 to make it divisible by 5? (a) 3 (b) 1 (c) 4 (d) 2
35. 35.If 8x + 7 = 3x + 27, what is x? (a) 4 (b) 6 (c) 3 (d) 5
36. 36.₹338 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹208 (b) ₹169 (c) ₹130 (d) ₹26
37. 37.If 8 October is a Wednesday, what day of the week is 22 October? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
38. 38.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
39. 39.The simple interest on ₹2000 for 2 years is ₹440. What is the rate per year? (a) 11% (b) 22% (c) 10% (d) 12%
40. 40.If 14 April is a Sunday, what day of the week is 12 May? (a) Monday (b) Tuesday (c) Saturday (d) Sunday

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