Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 948 · 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.₹248 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹31 (b) ₹124 (c) ₹155 (d) ₹93
2. 2.If 5 pens cost ₹20, how much do 7 pens cost? (a) ₹28 (b) ₹22 (c) ₹32 (d) ₹140
3. 3.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 27 days (c) 15 days (d) 26 days
4. 4.What is the smallest number you must add to 116 to make it divisible by 5? (a) 4 (b) 3 (c) 2 (d) 1
5. 5.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 41 (b) 22 (c) 24 (d) 43
6. 6.If 3x − 20 = 1, what is x? (a) 21 (b) 8 (c) 6 (d) 7
7. 7.Which fraction is greater: 6/7 or 1/5? (a) 6/7 (b) They are equal (c) 1/5
8. 8.What is the value of the digit 9 in 69.827? (a) 0.09 (b) 90 (c) 9 (d) 0.9
9. 9.Which fraction is greater: 1/7 or 3/8? (a) They are equal (b) 1/7 (c) 3/8
10. 10.₹56 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹7 (b) ₹49 (c) ₹28 (d) ₹56
11. 11.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 14 (b) 18 (c) 5 (d) 27
12. 12.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 32 sq cm (d) 48 sq cm
13. 13.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 3 min (c) 33 min (d) 270 min
14. 14.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 3 min (c) 126 min (d) 27 min
15. 15.What is the smallest number you must add to 630 to make it divisible by 8? (a) 6 (b) 3 (c) 1 (d) 2
16. 16.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 5% (b) 16% (c) 6% (d) 10%
17. 17.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 26 cm (d) 13 cm
18. 18.A teacher has 6 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 10 (c) 6 (d) 1
19. 19.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
20. 20.If 13 July is a Thursday, what day of the week is 2 August? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
21. 21.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 224 min (b) 56 min (c) 36 min (d) 4 min
22. 22.What is the average of 42, 18, 36, 29, 15 and 22? (a) 29 (b) 28 (c) 27 (d) 26
23. 23.If 2 kites cost ₹18, how much do 8 kites cost? (a) ₹144 (b) ₹81 (c) ₹72 (d) ₹24
24. 24.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 44 (b) 30 (c) 19 (d) 33
25. 25.If 17 August is a Monday, what day of the week is 18 September? (a) Friday (b) Sunday (c) Saturday (d) Thursday
26. 26.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 168 cm (d) 40 cm
27. 27.Which fraction is greater: 1/6 or 1/5? (a) 1/6 (b) 1/5 (c) They are equal
28. 28.If 5 August is a Monday, what day of the week is 17 August? (a) Sunday (b) Monday (c) Friday (d) Saturday
29. 29.If 7x + 22 = 36, what is x? (a) 3 (b) 2 (c) 1 (d) 14
30. 30.5/9 + 1/2 = ? (a) 6/11 (b) 19/18 (c) 10/9 (d) 1
31. 31.What is the value of the digit 6 in 45.126? (a) 0.6 (b) 0.006 (c) 0.06 (d) 6
32. 32.The simple interest on ₹6500 for 2 years is ₹260. What is the rate per year? (a) 3% (b) 2% (c) 1% (d) 4%
33. 33.₹416 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹32 (b) ₹160 (c) ₹208 (d) ₹256
34. 34.If 9 May is a Saturday, what day of the week is 22 May? (a) Friday (b) Saturday (c) Thursday (d) Sunday
35. 35.Which is the smallest: 0.083, 0.7, 0.614, 0.74? (a) 0.083 (b) 0.7 (c) 0.614 (d) 0.74
36. 36.Which fraction is greater: 4/5 or 1/8? (a) 4/5 (b) They are equal (c) 1/8
37. 37.What is 8/9 of 54? (a) 49 (b) 48 (c) 6 (d) 54
38. 38.A shopkeeper buys a toy for ₹400 and sells it for ₹360. What is his loss percent? (a) 5% (b) 40% (c) 15% (d) 10%
39. 39.A shopkeeper buys a toy for ₹1000 and sells it for ₹1400. What is his profit percent? (a) 45% (b) 40% (c) 35% (d) 41%
40. 40.Today is Wednesday. What day of the week will it be after 23 days? (a) Sunday (b) Thursday (c) Saturday (d) Friday

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad