Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 30 · 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. 1.1/4 + 1/6 = ? (a) 5/12 (b) 1/2 (c) 1/3 (d) 1/5
2. 2.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 30 sq cm (c) 15 sq cm (d) 55 sq cm
3. 3.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 48 sq cm (d) 64 sq cm
4. 4.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 5 : ? (a) 126 (b) 92 (c) 125 (d) 5
5. 5.Every pair follows the same rule: 3 : 14, 8 : 69, 9 : 86. What is 4 : ? (a) 21 (b) 1 (c) 15 (d) 22
6. 6.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 756 min (c) 60 min (d) 6 min
7. 7.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 30 min (c) 21 min (d) 3 min
8. 8.Which fraction is greater: 3/11 or 1/5? (a) They are equal (b) 1/5 (c) 3/11
9. 9.What is 5% of 360? (a) 18 (b) 342 (c) 36 (d) 180
10. 10.What is the smallest number you must add to 831 to make it divisible by 11? (a) 5 (b) 4 (c) 6 (d) 7
11. 11.If 7x + 3 = 5x + 17, what is x? (a) 8 (b) 9 (c) 7 (d) 10
12. 12.What is the simple interest on ₹5500 at 9% per year for 5 years? (a) ₹495 (b) ₹2475 (c) ₹7975 (d) ₹2970
13. 13.What is 50% of 440? (a) 2200 (b) 221 (c) 220 (d) 440
14. 14.If 2x + 18 = 26, what is x? (a) 5 (b) 8 (c) 4 (d) 22
15. 15.Two ribbons are 36 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 24 cm (c) 36 cm (d) 12 cm
16. 16.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 4 cm (d) 6 cm
17. 17.Every pair follows the same rule: 3 : 20, 5 : 22, 9 : 26. What is 7 : ? (a) 24 (b) 26 (c) 25 (d) 23
18. 18.A bag marked ₹1060 is sold at a 15% discount. What is its selling price? (a) ₹1219 (b) ₹1045 (c) ₹901 (d) ₹159
19. 19.A teacher has 6 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 9 (c) 3 (d) 1
20. 20.If 20 October is a Monday, what day of the week is 3 November? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
21. 21.If 8x − 75 = 37, what is x? (a) 15 (b) 13 (c) 14 (d) 112
22. 22.What is the average of 26, 41, 38 and 43? (a) 37 (b) 36 (c) 38 (d) 39
23. 23.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 29 (b) 18 (c) 56 (d) 28
24. 24.If 3x + 20 = 2x + 29, what is x? (a) 10 (b) 49 (c) 11 (d) 9
25. 25.If 6 March is a Tuesday, what day of the week is 22 March? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
26. 26.If 4x − 34 = 22, what is x? (a) 56 (b) 13 (c) 14 (d) 15
27. 27.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
28. 28.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 40 cm (c) 7 cm (d) 12 cm
29. 29.What is the value of the digit 7 in 27.984? (a) 70 (b) 0.07 (c) 7 (d) 0.7
30. 30.Every pair follows the same rule: 2 : 13, 3 : 16, 9 : 34. What is 6 : ? (a) 24 (b) 25 (c) 17 (d) 26
31. 31.Which of these numbers is divisible by 9? (a) 6271 (b) 6259 (c) 6253 (d) 6255
32. 32.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 3 cm (c) 2 cm (d) 4 cm
33. 33.If 7x + 30 = 100, what is x? (a) 70 (b) 10 (c) 9 (d) 11
34. 34.5/6 + 1/2 = ? (a) 3/2 (b) 3/4 (c) 7/6 (d) 4/3
35. 35.Every pair follows the same rule: 4 : 16, 5 : 25, 6 : 36. What is 2 : ? (a) 14 (b) 8 (c) 5 (d) 4
36. 36.In how many years will ₹6500 earn ₹975 simple interest at 5% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
37. 37.What is the simple interest on ₹5000 at 10% per year for 5 years? (a) ₹2500 (b) ₹7500 (c) ₹500 (d) ₹3000
38. 38.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 6 min (c) 360 min (d) 60 min
39. 39.Which of these numbers is divisible by 4? (a) 261 (b) 267 (c) 260 (d) 259
40. 40.If 8 pens cost ₹24, how much do 3 pens cost? (a) ₹19 (b) ₹9 (c) ₹12 (d) ₹72

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