Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 658 · 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 7^58? (a) 1 (b) 3 (c) 9 (d) 7
2. 2.6.23 + 2.7 = ? (a) 6.5 (b) 8.83 (c) 9.03 (d) 8.93
3. 3.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 60 (b) 25 (c) 30 (d) 150
4. 4.What is the value of the digit 2 in 82.763? (a) 0.2 (b) 2 (c) 20 (d) 0.02
5. 5.Every pair follows the same rule: 4 : 18, 5 : 19, 7 : 21. What is 9 : ? (a) 23 (b) 22 (c) 24 (d) 25
6. 6.Every pair follows the same rule: 5 : 17, 7 : 25, 9 : 33. What is 3 : ? (a) 15 (b) 8 (c) 9 (d) 10
7. 7.In how many years will ₹2000 earn ₹80 simple interest at 2% per year? (a) 3 years (b) 1 year (c) 4 years (d) 2 years
8. 8.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 30 (c) 24 (d) 51
9. 9.Every pair follows the same rule: 2 : 3, 5 : 9, 9 : 17. What is 4 : ? (a) 5 (b) 6 (c) 8 (d) 7
10. 10.A teacher has 4 pencils and 6 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 4 (c) 2 (d) 1
11. 11.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 16 cm (d) 8 cm
12. 12.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 104 sq cm (c) 40 sq cm (d) 91 sq cm
13. 13.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 17 days (d) 4 days
14. 14.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
15. 15.Every pair follows the same rule: 2 : 11, 3 : 12, 6 : 15. What is 4 : ? (a) 13 (b) 15 (c) 14 (d) 12
16. 16.What is the units digit of 7^33? (a) 9 (b) 7 (c) 3 (d) 1
17. 17.What is 5% of 920? (a) 46 (b) 92 (c) 874 (d) 460
18. 18.If 8 notebooks cost ₹24, how much do 7 notebooks cost? (a) ₹168 (b) ₹24 (c) ₹21 (d) ₹23
19. 19.2/5 + 5/6 = ? (a) 6/5 (b) 37/30 (c) 7/11 (d) 19/15
20. 20.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹64 (b) ₹384 (c) ₹256 (d) ₹300
21. 21.If x/6 + 2 = 9, what is x? (a) 52 (b) 66 (c) 7 (d) 42
22. 22.In how many years will ₹2000 earn ₹1200 simple interest at 12% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
23. 23.A bag marked ₹1200 is sold at a 40% discount. What is its selling price? (a) ₹480 (b) ₹1160 (c) ₹1680 (d) ₹720
24. 24.What is 15% of 700? (a) 210 (b) 595 (c) 105 (d) 1050
25. 25.₹3000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹3270 (b) ₹540 (c) ₹3540 (d) ₹3810
26. 26.What is the average of all the whole numbers from 14 to 46? (a) 30 (b) 32 (c) 31 (d) 16
27. 27.A bag marked ₹680 is sold at a 25% discount. What is its selling price? (a) ₹170 (b) ₹850 (c) ₹510 (d) ₹655
28. 28.Two ribbons are 20 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 2 cm (c) 4 cm (d) 120 cm
29. 29.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 5 : ? (a) 45 (b) 140 (c) 125 (d) 29
30. 30.Which is the greatest: 0.088, 0.75, 0.669, 0.7? (a) 0.088 (b) 0.75 (c) 0.669 (d) 0.7
31. 31.What is the value of the digit 1 in 24.361? (a) 1 (b) 0.1 (c) 0.001 (d) 0.01
32. 32.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 11% (b) 6% (c) 10% (d) 5%
33. 33.Every pair follows the same rule: 3 : 17, 4 : 24, 5 : 33. What is 6 : ? (a) 44 (b) 42 (c) 45 (d) 20
34. 34.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 10 cm (d) 9 cm
35. 35.If 11 July is a Monday, what day of the week is 21 July? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
36. 36.5.33 + 8.9 = ? (a) 14.33 (b) 14.13 (c) 14.23 (d) 6.22
37. 37.₹224 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹84 (b) ₹140 (c) ₹112 (d) ₹28
38. 38.What is the remainder when 328 is divided by 11? (a) 2 (b) 9 (c) 10 (d) 8
39. 39.Every pair follows the same rule: 3 : 4, 6 : 13, 9 : 22. What is 4 : ? (a) 5 (b) 6 (c) 7 (d) 8
40. 40.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm

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