Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 913 · 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 Sunday. What day of the week will it be after 94 days? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
2. 2.What is the units digit of 7^33? (a) 9 (b) 7 (c) 3 (d) 1
3. 3.6.33 + 2.8 = ? (a) 9.03 (b) 9.13 (c) 9.23 (d) 6.61
4. 4.What is the remainder when 689 is divided by 9? (a) 6 (b) 7 (c) 4 (d) 5
5. 5.Every pair follows the same rule: 5 : 9, 8 : 12, 9 : 13. What is 7 : ? (a) 10 (b) 13 (c) 11 (d) 12
6. 6.The simple interest on ₹1500 for 2 years is ₹90. What is the rate per year? (a) 3% (b) 2% (c) 4% (d) 6%
7. 7.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) 4 min (c) 36 min (d) 56 min
8. 8.If 12 June is a Wednesday, what day of the week is 20 July? (a) Friday (b) Saturday (c) Sunday (d) Monday
9. 9.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 12 days (b) 14 days (c) 8 days (d) 15 days
10. 10.If 4x + 14 = x + 23, what is x? (a) 2 (b) 3 (c) 4 (d) 5
11. 11.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
12. 12.Today is Saturday. What day of the week will it be after 68 days? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
13. 13.If x/2 + 11 = 20, what is x? (a) 62 (b) 29 (c) 18 (d) 9
14. 14.If 7x + 13 = 5x + 27, what is x? (a) 8 (b) 20 (c) 7 (d) 9
15. 15.If 23 March is a Saturday, what day of the week is 19 April? (a) Friday (b) Saturday (c) Thursday (d) Sunday
16. 16.What is the remainder when 551 is divided by 8? (a) 1 (b) 7 (c) 6 (d) 5
17. 17.Today is Wednesday. What day of the week will it be after 27 days? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
18. 18.What is the simple interest on ₹2000 at 2% per year for 2 years? (a) ₹120 (b) ₹80 (c) ₹40 (d) ₹2080
19. 19.If 6 mangoes cost ₹138, how much do 12 mangoes cost? (a) ₹299 (b) ₹276 (c) ₹1656 (d) ₹144
20. 20.If 10 August is a Tuesday, what day of the week is 21 August? (a) Sunday (b) Monday (c) Saturday (d) Friday
21. 21.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 15 (b) 35 (c) 26 (d) 23
22. 22.2/3 + 7/8 = ? (a) 9/11 (b) 19/12 (c) 37/24 (d) 3/2
23. 23.What is the remainder when 236 is divided by 3? (a) 0 (b) 2 (c) 1
24. 24.A teacher has 33 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 1 (c) 33 (d) 22
25. 25.8.29 + 2.5 = ? (a) 8.54 (b) 10.79 (c) 10.69 (d) 10.89
26. 26.What is the units digit of 9^45? (a) 7 (b) 1 (c) 8 (d) 9
27. 27.8.26 + 6.2 = ? (a) 14.46 (b) 14.36 (c) 8.88 (d) 14.56
28. 28.If 9x − 16 = 38, what is x? (a) 6 (b) 5 (c) 7 (d) 54
29. 29.What is 5% of 420? (a) 210 (b) 399 (c) 42 (d) 21
30. 30.Today is Saturday. What day of the week will it be after 19 days? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
31. 31.Two ribbons are 16 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 20 cm (c) 4 cm (d) 16 cm
32. 32.7.27 + 9.4 = ? (a) 16.57 (b) 16.77 (c) 16.67 (d) 8.21
33. 33.9 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 12 days (b) 16 days (c) 18 days (d) 19 days
34. 34.If 1 December is a Monday, what day of the week is 13 December? (a) Monday (b) Friday (c) Sunday (d) Saturday
35. 35.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 53 (c) 47 (d) 8
36. 36.9.22 + 7.7 = ? (a) 17.02 (b) 16.92 (c) 16.82 (d) 9.99
37. 37.What is 20% of 240? (a) 192 (b) 480 (c) 96 (d) 48
38. 38.What is the value of the digit 7 in 84.716? (a) 0.07 (b) 7 (c) 0.7 (d) 0.007
39. 39.If x/3 + 3 = 6, what is x? (a) 3 (b) 15 (c) 9 (d) 27
40. 40.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm

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