Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 949 · 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 you must add to 524 to make it divisible by 7? (a) 6 (b) 3 (c) 1 (d) 2
2. 2.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
3. 3.If 3x + 5 = 41, what is x? (a) 12 (b) 13 (c) 11 (d) 36
4. 4.What is the value of the digit 8 in 53.798? (a) 0.008 (b) 8 (c) 0.8 (d) 0.08
5. 5.What is 50% of 1000? (a) 5000 (b) 501 (c) 500 (d) 1000
6. 6.Which fraction is greater: 1/9 or 2/3? (a) They are equal (b) 2/3 (c) 1/9
7. 7.What is the average of 79, 68, 75, 69, 90 and 69? (a) 75 (b) 74 (c) 90 (d) 76
8. 8.What is the units digit of 8^19? (a) 8 (b) 6 (c) 4 (d) 2
9. 9.What is the value of the digit 4 in 32.546? (a) 0.04 (b) 4 (c) 0.004 (d) 0.4
10. 10.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 48 min (c) 540 min (d) 90 min
11. 11.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 8 days (b) 15 days (c) 6 days (d) 7 days
12. 12.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 80 cm (c) 6 cm (d) 10 cm
13. 13.Which fraction is greater: 2/3 or 3/10? (a) They are equal (b) 3/10 (c) 2/3
14. 14.6/9 + 1/2 = ? (a) 7/6 (b) 11/9 (c) 10/9 (d) 7/11
15. 15.Which is the greatest: 0.22, 0.153, 0.035, 0.2? (a) 0.22 (b) 0.153 (c) 0.035 (d) 0.2
16. 16.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
17. 17.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 67 (b) 28 (c) 46 (d) 53
18. 18.If 11 July is a Wednesday, what day of the week is 19 July? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
19. 19.Today is Sunday. What day of the week will it be after 39 days? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
20. 20.₹6000 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹6720 (b) ₹600 (c) ₹6120 (d) ₹6600
21. 21.1/2 + 6/7 = ? (a) 19/14 (b) 10/7 (c) 9/7 (d) 7/9
22. 22.What is the remainder when 106 is divided by 7? (a) 6 (b) 2 (c) 0 (d) 1
23. 23.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) 360 min (b) 6 min (c) 42 min (d) 60 min
24. 24.If 7x + 2 = 58, what is x? (a) 7 (b) 8 (c) 9 (d) 56
25. 25.What is the smallest number you must add to 57 to make it divisible by 5? (a) 2 (b) 1 (c) 4 (d) 3
26. 26.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 15 sq cm (d) 30 sq cm
27. 27.Which of these numbers is divisible by 9? (a) 6199 (b) 6192 (c) 6206 (d) 6184
28. 28.Every pair follows the same rule: 3 : 18, 4 : 21, 6 : 27. What is 5 : ? (a) 20 (b) 30 (c) 25 (d) 24
29. 29.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
30. 30.If 26 October is a Tuesday, what day of the week is 10 November? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
31. 31.Which of these numbers is divisible by 8? (a) 5040 (b) 5045 (c) 5037 (d) 5054
32. 32.Which is the greatest: 0.5, 0.56, 0.042, 0.496? (a) 0.5 (b) 0.56 (c) 0.042 (d) 0.496
33. 33.If x/2 + 1 = 7, what is x? (a) 16 (b) 12 (c) 13 (d) 6
34. 34.What is the remainder when 329 is divided by 5? (a) 1 (b) 4 (c) 2 (d) 3
35. 35.What is the average of all the whole numbers from 13 to 27? (a) 20 (b) 21 (c) 7 (d) 14
36. 36.If 2 March is a Monday, what day of the week is 12 March? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
37. 37.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 22 cm (d) 14 cm
38. 38.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 19 cm (d) 9 cm
39. 39.What is the average of all the whole numbers from 11 to 51? (a) 32 (b) 31 (c) 20 (d) 40
40. 40.What is the smallest number you must add to 224 to make it divisible by 9? (a) 8 (b) 1 (c) 3 (d) 2

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