Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 802 · 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.Today is Tuesday. What day of the week will it be after 12 days? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
2. 2.Today is Thursday. What day of the week will it be after 16 days? (a) Sunday (b) Friday (c) Saturday (d) Monday
3. 3.Two ribbons are 35 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 35 cm (c) 21 cm (d) 1 cm
4. 4.What is the units digit of 4^60? (a) 4 (b) 7 (c) 5 (d) 6
5. 5.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 228 sq cm (c) 62 sq cm (d) 247 sq cm
6. 6.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 2 min (c) 18 min (d) 28 min
7. 7.Every pair follows the same rule: 2 : 9, 8 : 69, 9 : 86. What is 4 : ? (a) 22 (b) 11 (c) 21 (d) 1
8. 8.A teacher has 4 pencils and 6 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 2 (c) 12 (d) 4
9. 9.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 20 sq cm (d) 30 sq cm
10. 10.A bag marked ₹720 is sold at a 40% discount. What is its selling price? (a) ₹680 (b) ₹432 (c) ₹288 (d) ₹1008
11. 11.Every pair follows the same rule: 3 : 6, 7 : 46, 8 : 61. What is 4 : ? (a) 7 (b) 8 (c) 13 (d) 1
12. 12.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 6 cm
13. 13.If 5 mangoes cost ₹120, how much do 2 mangoes cost? (a) ₹117 (b) ₹240 (c) ₹48 (d) ₹72
14. 14.If 4x + 7 = 67, what is x? (a) 15 (b) 14 (c) 16 (d) 60
15. 15.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 48 sq cm (c) 64 sq cm (d) 38 sq cm
16. 16.Every pair follows the same rule: 3 : 14, 8 : 19, 9 : 20. What is 2 : ? (a) 12 (b) 13 (c) 15 (d) 14
17. 17.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 83 (d) 48
18. 18.A teacher has 48 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 48 (c) 60 (d) 6
19. 19.If 3 notebooks cost ₹24, how much do 4 notebooks cost? (a) ₹40 (b) ₹96 (c) ₹32 (d) ₹25
20. 20.Which of these numbers is divisible by 8? (a) 3060 (b) 3056 (c) 3055 (d) 3066
21. 21.If 9x + 8 = 8x + 17, what is x? (a) 25 (b) 9 (c) 11 (d) 10
22. 22.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 9 days (d) 7 days
23. 23.The simple interest on ₹3000 for 2 years is ₹240. What is the rate per year? (a) 8% (b) 3% (c) 5% (d) 4%
24. 24.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 36%
25. 25.What is the units digit of 3^25? (a) 9 (b) 3 (c) 7 (d) 1
26. 26.If 7 mangoes cost ₹133, how much do 11 mangoes cost? (a) ₹1463 (b) ₹137 (c) ₹209 (d) ₹228
27. 27.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 80 min (c) 40 min (d) 2 min
28. 28.What is the remainder when 82 is divided by 3? (a) 1 (b) 2 (c) 0
29. 29.Today is Monday. What day of the week will it be after 28 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
30. 30.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 50 (b) 250 (c) 35 (d) 100
31. 31.If 11 November is a Wednesday, what day of the week is 4 December? (a) Sunday (b) Thursday (c) Saturday (d) Friday
32. 32.Today is Saturday. What day of the week will it be after 10 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
33. 33.If 13 March is a Friday, what day of the week is 3 April? (a) Thursday (b) Friday (c) Saturday (d) Sunday
34. 34.Every pair follows the same rule: 3 : 6, 4 : 8, 7 : 14. What is 2 : ? (a) 3 (b) 5 (c) 4 (d) 6
35. 35.If 6x − 47 = 37, what is x? (a) 14 (b) 15 (c) 13 (d) 84
36. 36.What is the remainder when 304 is divided by 11? (a) 6 (b) 8 (c) 7 (d) 4
37. 37.What is the average of 80, 68, 91 and 65? (a) 78 (b) 76 (c) 77 (d) 75
38. 38.8/9 + 2/3 = ? (a) 13/9 (b) 5/3 (c) 14/9 (d) 5/6
39. 39.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 143 cm
40. 40.What is 1/3 of 6? (a) 2 (b) 4 (c) 1 (d) 3

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