Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 198 · 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.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
2. 2.What is the value of the digit 9 in 23.981? (a) 0.9 (b) 9 (c) 0.09 (d) 0.009
3. 3.What is the value of the digit 2 in 35.291? (a) 0.02 (b) 2 (c) 0.2 (d) 0.002
4. 4.What is the simple interest on ₹1500 at 4% per year for 2 years? (a) ₹180 (b) ₹120 (c) ₹1620 (d) ₹60
5. 5.If 4x + 3 = 3x + 14, what is x? (a) 17 (b) 11 (c) 13 (d) 12
6. 6.What is the smallest number you must add to 166 to make it divisible by 3? (a) 2 (b) 1
7. 7.What is the value of the digit 2 in 89.214? (a) 0.002 (b) 0.02 (c) 2 (d) 0.2
8. 8.If 8x − 24 = 24, what is x? (a) 7 (b) 5 (c) 6 (d) 48
9. 9.If 2 mangoes cost ₹16, how much do 8 mangoes cost? (a) ₹128 (b) ₹72 (c) ₹22 (d) ₹64
10. 10.What is 10% of 340? (a) 68 (b) 306 (c) 34 (d) 340
11. 11.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
12. 12.What is 6/7 of 21? (a) 3 (b) 21 (c) 19 (d) 18
13. 13.2.02 + 7.7 = ? (a) 2.79 (b) 9.62 (c) 9.82 (d) 9.72
14. 14.If 6x − 7 = 5, what is x? (a) 1 (b) 2 (c) 3 (d) 12
15. 15.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 2 : ? (a) 8 (b) 4 (c) 6 (d) 5
16. 16.If 9x + 30 = 57, what is x? (a) 3 (b) 2 (c) 4 (d) 27
17. 17.If 9 pens cost ₹162, how much do 11 pens cost? (a) ₹216 (b) ₹1782 (c) ₹198 (d) ₹164
18. 18.What is the units digit of 3^20? (a) 7 (b) 9 (c) 1 (d) 3
19. 19.2.93 + 1.2 = ? (a) 4.23 (b) 3.05 (c) 4.03 (d) 4.13
20. 20.If 16 March is a Friday, what day of the week is 18 April? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
21. 21.What is the remainder when 117 is divided by 8? (a) 6 (b) 4 (c) 5 (d) 3
22. 22.Which of these numbers is divisible by 11? (a) 8948 (b) 8967 (c) 8954 (d) 8959
23. 23.What is the remainder when 195 is divided by 7? (a) 4 (b) 1 (c) 6 (d) 5
24. 24.1/8 + 2/4 = ? (a) 1/2 (b) 3/4 (c) 5/8 (d) 1/4
25. 25.If 5x + 16 = 36, what is x? (a) 5 (b) 4 (c) 3 (d) 20
26. 26.Every pair follows the same rule: 6 : 24, 7 : 25, 9 : 27. What is 2 : ? (a) 20 (b) 19 (c) 8 (d) 21
27. 27.What is 2/7 of 84? (a) 60 (b) 24 (c) 36 (d) 12
28. 28.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 14 min (c) 2 min (d) 48 min
29. 29.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 27 days (b) 28 days (c) 19 days (d) 11 days
30. 30.A shopkeeper buys a toy for ₹440 and sells it for ₹550. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
31. 31.Which of these numbers is divisible by 3? (a) 722 (b) 718 (c) 720 (d) 724
32. 32.What is the smallest number you must add to 659 to make it divisible by 11? (a) 2 (b) 1 (c) 3 (d) 10
33. 33.What is the units digit of 2^41? (a) 2 (b) 4 (c) 8 (d) 6
34. 34.2.41 + 5.4 = ? (a) 7.91 (b) 7.81 (c) 7.71 (d) 2.95
35. 35.What is 15% of 360? (a) 54 (b) 306 (c) 108 (d) 540
36. 36.In how many years will ₹8500 earn ₹680 simple interest at 2% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
37. 37.If 6x − 25 = 17, what is x? (a) 8 (b) 42 (c) 6 (d) 7
38. 38.Every pair follows the same rule: 3 : 27, 7 : 63, 9 : 81. What is 8 : ? (a) 71 (b) 32 (c) 73 (d) 72
39. 39.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 45 min (c) 3 min (d) 135 min
40. 40.Which of these numbers is divisible by 6? (a) 3241 (b) 3230 (c) 3234 (d) 3235

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