Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 372 · 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.Two ribbons are 20 cm and 35 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) 5 cm (c) 15 cm (d) 20 cm
2. 2.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
3. 3.Which of these numbers is divisible by 8? (a) 2761 (b) 2781 (c) 2768 (d) 2774
4. 4.If 9 May is a Saturday, what day of the week is 23 May? (a) Monday (b) Friday (c) Saturday (d) Sunday
5. 5.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 198 sq cm (c) 56 sq cm (d) 180 sq cm
6. 6.If x/3 + 4 = 11, what is x? (a) 21 (b) 7 (c) 45 (d) 29
7. 7.Which is the greatest: 0.715, 0.83, 0.075, 0.8? (a) 0.715 (b) 0.83 (c) 0.075 (d) 0.8
8. 8.Every pair follows the same rule: 5 : 23, 7 : 25, 9 : 27. What is 6 : ? (a) 24 (b) 26 (c) 25 (d) 23
9. 9.A bag marked ₹240 is sold at a 20% discount. What is its selling price? (a) ₹48 (b) ₹220 (c) ₹192 (d) ₹288
10. 10.What is 3/4 of 24? (a) 6 (b) 24 (c) 18 (d) 19
11. 11.If 10 December is a Sunday, what day of the week is 26 December? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
12. 12.₹363 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹33 (b) ₹297 (c) ₹330 (d) ₹66
13. 13.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 5 : ? (a) 11 (b) 15 (c) 25 (d) 26
14. 14.What is the average of 46, 46, 25 and 31? (a) 39 (b) 36 (c) 37 (d) 38
15. 15.Which of these numbers is divisible by 3? (a) 1283 (b) 1278 (c) 1279 (d) 1276
16. 16.What is the smallest number you must add to 38 to make it divisible by 3? (a) 2 (b) 1
17. 17.If 8 mangoes cost ₹40, how much do 4 mangoes cost? (a) ₹25 (b) ₹20 (c) ₹36 (d) ₹160
18. 18.If 5x + 25 = 45, what is x? (a) 14 (b) 20 (c) 5 (d) 4
19. 19.Every pair follows the same rule: 2 : 8, 5 : 20, 6 : 24. What is 8 : ? (a) 33 (b) 31 (c) 14 (d) 32
20. 20.1.58 + 4.6 = ? (a) 6.28 (b) 6.18 (c) 2.04 (d) 6.08
21. 21.Which fraction is greater: 8/9 or 1/4? (a) 1/4 (b) They are equal (c) 8/9
22. 22.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 5 (c) 20 (d) 10
23. 23.What is 1/2 of 4? (a) 1 (b) 3 (c) 4 (d) 2
24. 24.7/8 + 1/3 = ? (a) 8/11 (b) 5/4 (c) 7/6 (d) 29/24
25. 25.If 6x + 20 = 3x + 56, what is x? (a) 12 (b) 4 (c) 14 (d) 13
26. 26.1.03 + 2.5 = ? (a) 1.28 (b) 3.53 (c) 3.63 (d) 3.43
27. 27.If 8 pens cost ₹136, how much do 9 pens cost? (a) ₹1224 (b) ₹153 (c) ₹170 (d) ₹137
28. 28.If 9x + 13 = 58, what is x? (a) 6 (b) 4 (c) 45 (d) 5
29. 29.Today is Thursday. What day of the week will it be after 34 days? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
30. 30.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 3 days (c) 22 days (d) 21 days
31. 31.What is the value of the digit 3 in 71.523? (a) 0.03 (b) 3 (c) 0.003 (d) 0.3
32. 32.What is the average of 21, 37, 27 and 19? (a) 25 (b) 27 (c) 26 (d) 28
33. 33.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 36 sq cm (d) 30 sq cm
34. 34.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 28 sq cm (c) 14 sq cm (d) 50 sq cm
35. 35.1/6 + 6/9 = ? (a) 7/15 (b) 8/9 (c) 5/6 (d) 7/9
36. 36.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
37. 37.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 105 cm (c) 44 cm (d) 37 cm
38. 38.What is the units digit of 2^42? (a) 6 (b) 8 (c) 4 (d) 2
39. 39.If 4x + 27 = 71, what is x? (a) 12 (b) 10 (c) 11 (d) 44
40. 40.Every pair follows the same rule: 2 : 7, 3 : 10, 6 : 19. What is 5 : ? (a) 16 (b) 10 (c) 17 (d) 15

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