Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 700 · 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 smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 12 (b) 13 (c) 24 (d) 10
2. 2.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 100 min (c) 500 min (d) 5 min
3. 3.Every pair follows the same rule: 2 : 5, 4 : 13, 8 : 29. What is 7 : ? (a) 10 (b) 26 (c) 25 (d) 24
4. 4.What is the smallest number you must add to 739 to make it divisible by 10? (a) 3 (b) 2 (c) 9 (d) 1
5. 5.₹8500 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹10880 (b) ₹9095 (c) ₹10285 (d) ₹1785
6. 6.If 7x + 22 = 127, what is x? (a) 105 (b) 15 (c) 16 (d) 14
7. 7.What is the average of all the whole numbers from 21 to 39? (a) 18 (b) 31 (c) 30 (d) 9
8. 8.4/7 + 5/7 = ? (a) 10/7 (b) 9/14 (c) 8/7 (d) 9/7
9. 9.A teacher has 35 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 14 (c) 7 (d) 1
10. 10.If x/6 + 2 = 5, what is x? (a) 3 (b) 18 (c) 28 (d) 42
11. 11.What is the average of all the whole numbers from 24 to 46? (a) 11 (b) 22 (c) 35 (d) 36
12. 12.If x/4 + 12 = 15, what is x? (a) 108 (b) 48 (c) 12 (d) 3
13. 13.Which is the smallest: 0.018, 0.52, 0.433, 0.5? (a) 0.018 (b) 0.52 (c) 0.433 (d) 0.5
14. 14.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
15. 15.What is the simple interest on ₹3000 at 2% per year for 2 years? (a) ₹120 (b) ₹180 (c) ₹3120 (d) ₹60
16. 16.Which is the smallest: 0.011, 0.191, 0.2, 0.29? (a) 0.011 (b) 0.191 (c) 0.2 (d) 0.29
17. 17.Every pair follows the same rule: 3 : 27, 5 : 45, 7 : 63. What is 4 : ? (a) 28 (b) 36 (c) 37 (d) 35
18. 18.Today is Saturday. What day of the week will it be after 13 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
19. 19.Which of these numbers is divisible by 6? (a) 1192 (b) 1187 (c) 1182 (d) 1180
20. 20.What is the remainder when 193 is divided by 5? (a) 3 (b) 1 (c) 2 (d) 4
21. 21.A teacher has 22 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 77 (c) 22 (d) 1
22. 22.Every pair follows the same rule: 3 : 12, 7 : 28, 8 : 32. What is 6 : ? (a) 24 (b) 15 (c) 23 (d) 25
23. 23.1/4 + 1/8 = ? (a) 3/8 (b) 1/2 (c) 1/4 (d) 1/6
24. 24.₹650 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹325 (b) ₹450 (c) ₹50 (d) ₹200
25. 25.What is the average of 31, 24, 41 and 32? (a) 33 (b) 31 (c) 34 (d) 32
26. 26.3/4 + 2/4 = ? (a) 5/4 (b) 1 (c) 3/2 (d) 5/8
27. 27.If 5x − 25 = 30, what is x? (a) 11 (b) 55 (c) 12 (d) 1
28. 28.What is the value of the digit 6 in 12.643? (a) 6 (b) 0.006 (c) 0.06 (d) 0.6
29. 29.If 1 July is a Wednesday, what day of the week is 12 July? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
30. 30.9.19 + 9.6 = ? (a) 18.69 (b) 18.89 (c) 18.79 (d) 10.15
31. 31.If x/4 + 5 = 16, what is x? (a) 44 (b) 84 (c) 11 (d) 59
32. 32.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 30 sq cm (c) 13 sq cm (d) 26 sq cm
33. 33.What is the smallest number you must add to 557 to make it divisible by 9? (a) 2 (b) 1 (c) 3 (d) 8
34. 34.8 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 14 days (c) 9 days (d) 8 days
35. 35.A teacher has 77 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 77 (c) 11 (d) 616
36. 36.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 168 (b) 85 (c) 84 (d) 26
37. 37.What is the simple interest on ₹1000 at 10% per year for 4 years? (a) ₹400 (b) ₹100 (c) ₹1400 (d) ₹500
38. 38.3.52 + 7.7 = ? (a) 11.12 (b) 11.22 (c) 4.29 (d) 11.32
39. 39.₹10000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹11100 (b) ₹15500 (c) ₹4400 (d) ₹14400
40. 40.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 180 cm (c) 54 cm (d) 27 cm

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