Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 736 · 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.If x/2 + 14 = 19, what is x? (a) 66 (b) 5 (c) 24 (d) 10
2. 2.A teacher has 54 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 54 (b) 378 (c) 9 (d) 3
3. 3.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 84 sq cm (d) 72 sq cm
4. 4.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 11 cm (c) 144 cm (d) 10 cm
5. 5.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 28 min (c) 18 min (d) 2 min
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
7. 7.What is the remainder when 155 is divided by 10? (a) 5 (b) 6 (c) 4 (d) 7
8. 8.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 5 cm (c) 8 cm (d) 4 cm
9. 9.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 50 (b) 7 (c) 44 (d) 87
10. 10.₹132 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹44 (b) ₹66 (c) ₹88 (d) ₹132
11. 11.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 28 sq cm (d) 14 sq cm
12. 12.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 119 sq cm (d) 24 sq cm
13. 13.What is the simple interest on ₹10000 at 10% per year for 2 years? (a) ₹2000 (b) ₹3000 (c) ₹1000 (d) ₹12000
14. 14.Which fraction is greater: 1/6 or 3/4? (a) 1/6 (b) They are equal (c) 3/4
15. 15.What is 1/3 of 12? (a) 5 (b) 8 (c) 3 (d) 4
16. 16.What is 15% of 560? (a) 476 (b) 840 (c) 168 (d) 84
17. 17.What is 1/5 of 50? (a) 11 (b) 20 (c) 10 (d) 40
18. 18.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 130 cm (d) 12 cm
19. 19.If 31 August is a Saturday, what day of the week is 19 September? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
20. 20.The simple interest on ₹5000 for 4 years is ₹1600. What is the rate per year? (a) 32% (b) 7% (c) 8% (d) 9%
21. 21.What is the simple interest on ₹2500 at 6% per year for 5 years? (a) ₹150 (b) ₹3250 (c) ₹900 (d) ₹750
22. 22.3.64 + 6.7 = ? (a) 4.31 (b) 10.44 (c) 10.24 (d) 10.34
23. 23.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 20 (b) 24 (c) 96 (d) 48
24. 24.8.21 + 1.9 = ? (a) 10.01 (b) 10.21 (c) 8.4 (d) 10.11
25. 25.What is the value of the digit 1 in 43.125? (a) 0.1 (b) 0.001 (c) 0.01 (d) 1
26. 26.7.66 + 3.7 = ? (a) 8.03 (b) 11.36 (c) 11.46 (d) 11.26
27. 27.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
28. 28.6 workers can build a wall in 10 days. How many days will 12 workers take, working at the same speed? (a) 20 days (b) 5 days (c) 4 days (d) 16 days
29. 29.If x/2 + 9 = 12, what is x? (a) 6 (b) 42 (c) 3 (d) 15
30. 30.What is the average of 48, 21, 20 and 47? (a) 34 (b) 36 (c) 35 (d) 33
31. 31.What is the value of the digit 6 in 76.289? (a) 0.6 (b) 60 (c) 0.06 (d) 6
32. 32.Two ribbons are 12 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 2 cm (c) 84 cm (d) 12 cm
33. 33.If 4x + 7 = 3x + 18, what is x? (a) 25 (b) 12 (c) 13 (d) 11
34. 34.4.18 + 2.8 = ? (a) 4.46 (b) 7.08 (c) 6.88 (d) 6.98
35. 35.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
36. 36.8.74 + 6.2 = ? (a) 15.04 (b) 14.84 (c) 14.94 (d) 9.36
37. 37.Every pair follows the same rule: 2 : 5, 3 : 10, 6 : 37. What is 5 : ? (a) 8 (b) 27 (c) 26 (d) 28
38. 38.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 150 (c) 60 (d) 30
39. 39.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 40 days (d) 39 days
40. 40.What is 4/7 of 28? (a) 4 (b) 20 (c) 12 (d) 16

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