Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 364 · 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. 1.1/2 + 2/8 = ? (a) 3/10 (b) 5/8 (c) 3/4 (d) 7/8
2. 2.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 2 days (d) 1 day
3. 3.Two ribbons are 12 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 30 cm (d) 12 cm
4. 4.If x/3 + 2 = 4, what is x? (a) 18 (b) 10 (c) 6 (d) 2
5. 5.What is the average of all the whole numbers from 22 to 34? (a) 6 (b) 29 (c) 12 (d) 28
6. 6.Which is the smallest: 0.459, 0.5, 0.082, 0.55? (a) 0.459 (b) 0.5 (c) 0.082 (d) 0.55
7. 7.What is 10% of 60? (a) 6 (b) 12 (c) 60 (d) 54
8. 8.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
9. 9.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
10. 10.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 18 (c) 72 (d) 58
11. 11.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 60 cm (c) 4 cm (d) 5 cm
12. 12.If 3x − 10 = 2, what is x? (a) 3 (b) 4 (c) 12 (d) 5
13. 13.What is the simple interest on ₹9000 at 7% per year for 2 years? (a) ₹630 (b) ₹1890 (c) ₹1260 (d) ₹10260
14. 14.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 96 sq cm (c) 22 sq cm (d) 112 sq cm
15. 15.1/7 + 1/2 = ? (a) 5/7 (b) 9/14 (c) 4/7 (d) 2/9
16. 16.If 7 mangoes cost ₹56, how much do 5 mangoes cost? (a) ₹40 (b) ₹280 (c) ₹54 (d) ₹48
17. 17.The simple interest on ₹2000 for 4 years is ₹320. What is the rate per year? (a) 3% (b) 4% (c) 16% (d) 5%
18. 18.In how many years will ₹3500 earn ₹525 simple interest at 3% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
19. 19.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 44 sq cm (d) 120 sq cm
20. 20.A shopkeeper buys a toy for ₹480 and sells it for ₹336. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
21. 21.Which fraction is greater: 5/7 or 1/11? (a) They are equal (b) 1/11 (c) 5/7
22. 22.9.05 + 6.6 = ? (a) 15.65 (b) 15.55 (c) 15.75 (d) 9.71
23. 23.In how many years will ₹8000 earn ₹2640 simple interest at 11% per year? (a) 6 years (b) 2 years (c) 4 years (d) 3 years
24. 24.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 24 min (c) 135 min (d) 45 min
25. 25.If 7 pens cost ₹77, how much do 12 pens cost? (a) ₹82 (b) ₹143 (c) ₹924 (d) ₹132
26. 26.What is 40% of 60? (a) 48 (b) 24 (c) 240 (d) 36
27. 27.₹455 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹350 (b) ₹140 (c) ₹35 (d) ₹315
28. 28.What is the value of the digit 5 in 21.564? (a) 0.005 (b) 5 (c) 0.05 (d) 0.5
29. 29.What is the average of 10, 24, 17 and 29? (a) 19 (b) 22 (c) 21 (d) 20
30. 30.If 3 December is a Sunday, what day of the week is 15 December? (a) Sunday (b) Friday (c) Thursday (d) Saturday
31. 31.1/6 + 2/3 = ? (a) 1 (b) 5/6 (c) 1/3 (d) 2/3
32. 32.If x/4 + 13 = 20, what is x? (a) 132 (b) 28 (c) 67 (d) 7
33. 33.The simple interest on ₹2000 for 2 years is ₹400. What is the rate per year? (a) 11% (b) 20% (c) 9% (d) 10%
34. 34.In how many years will ₹7000 earn ₹1750 simple interest at 5% per year? (a) 10 years (b) 6 years (c) 5 years (d) 4 years
35. 35.Which of these numbers is divisible by 11? (a) 5964 (b) 5988 (c) 5973 (d) 5979
36. 36.Which fraction is greater: 2/9 or 11/12? (a) 11/12 (b) They are equal (c) 2/9
37. 37.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 5 (c) 20 (d) 16
38. 38.Every pair follows the same rule: 5 : 24, 8 : 63, 9 : 80. What is 3 : ? (a) 8 (b) 9 (c) 22 (d) 7
39. 39.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 20 (c) 4 (d) 2
40. 40.What is the value of the digit 6 in 96.841? (a) 0.06 (b) 6 (c) 60 (d) 0.6

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