Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 710 · 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.A teacher has 32 pencils and 56 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) 32 (d) 24
2. 2.What is the average of all the whole numbers from 59 to 87? (a) 74 (b) 73 (c) 28 (d) 14
3. 3.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 22 sq cm (c) 102 sq cm (d) 44 sq cm
4. 4.Today is Tuesday. What day of the week will it be after 75 days? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
5. 5.If 4x − 5 = 15, what is x? (a) 20 (b) 6 (c) 5 (d) 4
6. 6.Every pair follows the same rule: 2 : 20, 3 : 21, 7 : 25. What is 6 : ? (a) 23 (b) 24 (c) 60 (d) 25
7. 7.A bag marked ₹560 is sold at a 40% discount. What is its selling price? (a) ₹336 (b) ₹224 (c) ₹784 (d) ₹520
8. 8.A shopkeeper buys a toy for ₹600 and sells it for ₹450. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
9. 9.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 36 sq cm (d) 45 sq cm
10. 10.What is the simple interest on ₹7500 at 3% per year for 3 years? (a) ₹675 (b) ₹225 (c) ₹8175 (d) ₹900
11. 11.Which fraction is greater: 2/3 or 1/8? (a) They are equal (b) 2/3 (c) 1/8
12. 12.What is the simple interest on ₹1000 at 8% per year for 4 years? (a) ₹80 (b) ₹320 (c) ₹1320 (d) ₹400
13. 13.What is the average of 58, 73, 54 and 75? (a) 64 (b) 66 (c) 65 (d) 67
14. 14.4.02 + 2.2 = ? (a) 6.22 (b) 6.12 (c) 4.24 (d) 6.32
15. 15.What is 15% of 100? (a) 85 (b) 30 (c) 150 (d) 15
16. 16.If 6x + 4 = 58, what is x? (a) 10 (b) 8 (c) 9 (d) 54
17. 17.8.17 + 7.5 = ? (a) 15.67 (b) 15.57 (c) 15.77 (d) 8.92
18. 18.1/3 + 3/8 = ? (a) 2/3 (b) 3/4 (c) 17/24 (d) 4/11
19. 19.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
20. 20.If x/6 + 10 = 15, what is x? (a) 5 (b) 150 (c) 80 (d) 30
21. 21.4.13 + 2.3 = ? (a) 6.33 (b) 6.53 (c) 4.36 (d) 6.43
22. 22.If 2 March is a Saturday, what day of the week is 14 March? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
23. 23.Which fraction is greater: 4/5 or 5/7? (a) 4/5 (b) 5/7 (c) They are equal
24. 24.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 20 (b) 42 (c) 37 (d) 52
25. 25.In how many years will ₹4000 earn ₹1800 simple interest at 9% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
26. 26.If 24 November is a Monday, what day of the week is 5 December? (a) Sunday (b) Friday (c) Saturday (d) Thursday
27. 27.9 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 15 days (c) 18 days (d) 9 days
28. 28.Which of these numbers is divisible by 6? (a) 2122 (b) 2128 (c) 2115 (d) 2118
29. 29.If 5 October is a Friday, what day of the week is 19 October? (a) Friday (b) Sunday (c) Saturday (d) Thursday
30. 30.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 10 days (c) 1 day (d) 16 days
31. 31.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 48 (b) 560 (c) 280 (d) 140
32. 32.What is the units digit of 3^34? (a) 7 (b) 1 (c) 9 (d) 3
33. 33.Every pair follows the same rule: 2 : 2, 3 : 6, 6 : 18. What is 4 : ? (a) 11 (b) 4 (c) 9 (d) 10
34. 34.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 48 min (c) 90 min (d) 540 min
35. 35.Which fraction is greater: 6/7 or 7/10? (a) 6/7 (b) 7/10 (c) They are equal
36. 36.If 14 January is a Friday, what day of the week is 27 January? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
37. 37.₹3500 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹735 (b) ₹3745 (c) ₹4235 (d) ₹4480
38. 38.What is 5/8 of 88? (a) 33 (b) 55 (c) 11 (d) 66
39. 39.1.04 + 8.4 = ? (a) 1.88 (b) 9.44 (c) 9.34 (d) 9.54
40. 40.If 9x + 18 = 8x + 27, what is x? (a) 45 (b) 9 (c) 10 (d) 11

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