Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 760 · 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 remainder when 862 is divided by 12? (a) 2 (b) 9 (c) 10 (d) 11
2. 2.The simple interest on ₹5500 for 4 years is ₹1760. What is the rate per year? (a) 9% (b) 7% (c) 32% (d) 8%
3. 3.What is the value of the digit 3 in 82.365? (a) 0.3 (b) 3 (c) 0.03 (d) 0.003
4. 4.₹6000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹7080 (b) ₹6540 (c) ₹1080 (d) ₹7620
5. 5.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 100 cm (c) 12 cm (d) 7 cm
6. 6.If 5x − 38 = 12, what is x? (a) 50 (b) 11 (c) 10 (d) 9
7. 7.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 150 sq cm (c) 48 sq cm (d) 135 sq cm
8. 8.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 10% (b) 15% (c) 27% (d) 20%
9. 9.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) 48 (d) 96
10. 10.A teacher has 44 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 44 (b) 220 (c) 1 (d) 11
11. 11.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 16 cm (d) 32 cm
12. 12.What is the units digit of 8^22? (a) 2 (b) 6 (c) 4 (d) 8
13. 13.₹147 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹42 (b) ₹126 (c) ₹105 (d) ₹21
14. 14.If 7x − 54 = 37, what is x? (a) 12 (b) 14 (c) 91 (d) 13
15. 15.If 7 July is a Sunday, what day of the week is 16 July? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
16. 16.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 320 min (b) 4 min (c) 36 min (d) 80 min
17. 17.Two ribbons are 12 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 12 cm (c) 8 cm (d) 4 cm
18. 18.Today is Thursday. What day of the week will it be after 51 days? (a) Sunday (b) Friday (c) Monday (d) Saturday
19. 19.A shopkeeper buys a toy for ₹360 and sells it for ₹252. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
20. 20.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 108 cm (c) 48 cm (d) 42 cm
21. 21.Every pair follows the same rule: 5 : 9, 6 : 11, 8 : 15. What is 4 : ? (a) 6 (b) 8 (c) 7 (d) 9
22. 22.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 10 cm (d) 21 cm
23. 23.If 2 July is a Monday, what day of the week is 16 July? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
24. 24.4.58 + 7.8 = ? (a) 12.48 (b) 12.28 (c) 5.36 (d) 12.38
25. 25.If 3 pens cost ₹21, how much do 4 pens cost? (a) ₹35 (b) ₹84 (c) ₹22 (d) ₹28
26. 26.Every pair follows the same rule: 3 : 8, 4 : 15, 5 : 24. What is 8 : ? (a) 51 (b) 13 (c) 63 (d) 64
27. 27.Every pair follows the same rule: 4 : 26, 6 : 36, 7 : 41. What is 8 : ? (a) 47 (b) 30 (c) 46 (d) 45
28. 28.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
29. 29.2/7 + 3/7 = ? (a) 5/7 (b) 4/7 (c) 5/14 (d) 6/7
30. 30.Which of these numbers is divisible by 4? (a) 2998 (b) 2994 (c) 2992 (d) 2991
31. 31.Which is the smallest: 0.81, 0.071, 0.753, 0.8? (a) 0.81 (b) 0.071 (c) 0.753 (d) 0.8
32. 32.If 7x − 5 = 23, what is x? (a) 3 (b) 4 (c) 5 (d) 28
33. 33.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 22 cm (c) 190 cm (d) 12 cm
34. 34.9.65 + 2.5 = ? (a) 12.15 (b) 9.9 (c) 12.25 (d) 12.05
35. 35.Every pair follows the same rule: 2 : 12, 8 : 72, 9 : 89. What is 7 : ? (a) 55 (b) 57 (c) 42 (d) 17
36. 36.Which is the smallest: 0.38, 0.043, 0.233, 0.3? (a) 0.38 (b) 0.043 (c) 0.233 (d) 0.3
37. 37.What is 5/6 of 54? (a) 9 (b) 45 (c) 46 (d) 54
38. 38.If 4x + 15 = 3x + 16, what is x? (a) 31 (b) 2 (c) 3 (d) 1
39. 39.If 3 mangoes cost ₹60, how much do 2 mangoes cost? (a) ₹120 (b) ₹59 (c) ₹60 (d) ₹40
40. 40.What is the units digit of 7^59? (a) 7 (b) 3 (c) 9 (d) 1

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