Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 98 · 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.If 3x + 14 = 56, what is x? (a) 15 (b) 14 (c) 42 (d) 13
2. 2.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 42 (b) 360 (c) 60 (d) 120
3. 3.Every pair follows the same rule: 2 : 4, 6 : 12, 7 : 14. What is 8 : ? (a) 17 (b) 10 (c) 16 (d) 15
4. 4.What is the average of all the whole numbers from 18 to 42? (a) 31 (b) 24 (c) 12 (d) 30
5. 5.Today is Thursday. What day of the week will it be after 47 days? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
6. 6.What is the units digit of 8^55? (a) 2 (b) 4 (c) 6 (d) 8
7. 7.Today is Friday. What day of the week will it be after 55 days? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
8. 8.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 133 sq cm (c) 52 sq cm (d) 26 sq cm
9. 9.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
10. 10.2.15 + 6.1 = ? (a) 2.76 (b) 8.35 (c) 8.25 (d) 8.15
11. 11.Which of these numbers is divisible by 11? (a) 2331 (b) 2310 (c) 2314 (d) 2307
12. 12.Which fraction is greater: 3/4 or 7/9? (a) 3/4 (b) They are equal (c) 7/9
13. 13.If 8 pens cost ₹96, how much do 9 pens cost? (a) ₹120 (b) ₹97 (c) ₹864 (d) ₹108
14. 14.What is the simple interest on ₹4000 at 7% per year for 2 years? (a) ₹840 (b) ₹560 (c) ₹280 (d) ₹4560
15. 15.Which is the greatest: 0.051, 0.53, 0.5, 0.444? (a) 0.051 (b) 0.53 (c) 0.5 (d) 0.444
16. 16.A teacher has 55 pencils and 66 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 55 (b) 1 (c) 11 (d) 330
17. 17.If 6x + 19 = 5x + 23, what is x? (a) 6 (b) 5 (c) 4 (d) 42
18. 18.What is the smallest number you must add to 134 to make it divisible by 3? (a) 2 (b) 1
19. 19.₹6000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹6360 (b) ₹7440 (c) ₹1080 (d) ₹7080
20. 20.Every pair follows the same rule: 3 : 10, 4 : 17, 7 : 50. What is 2 : ? (a) 5 (b) 4 (c) 6 (d) 9
21. 21.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) 2 min (b) 28 min (c) 56 min (d) 18 min
22. 22.Every pair follows the same rule: 2 : 5, 4 : 17, 5 : 26. What is 6 : ? (a) 9 (b) 37 (c) 38 (d) 35
23. 23.What is the value of the digit 6 in 63.817? (a) 0.06 (b) 60 (c) 6 (d) 0.6
24. 24.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 26 sq cm (c) 182 sq cm (d) 52 sq cm
25. 25.Every pair follows the same rule: 3 : 7, 5 : 23, 6 : 34. What is 4 : ? (a) 8 (b) 12 (c) 15 (d) 14
26. 26.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 5% (b) 6% (c) 27% (d) 10%
27. 27.If 2x − 2 = 24, what is x? (a) 26 (b) 11 (c) 14 (d) 13
28. 28.2.22 + 1.1 = ? (a) 3.42 (b) 3.22 (c) 2.33 (d) 3.32
29. 29.A bag marked ₹1500 is sold at a 15% discount. What is its selling price? (a) ₹225 (b) ₹1275 (c) ₹1485 (d) ₹1725
30. 30.What is the remainder when 466 is divided by 11? (a) 3 (b) 5 (c) 4 (d) 7
31. 31.Every pair follows the same rule: 2 : 13, 5 : 28, 7 : 38. What is 8 : ? (a) 19 (b) 42 (c) 44 (d) 43
32. 32.Every pair follows the same rule: 3 : 6, 4 : 8, 9 : 18. What is 2 : ? (a) 3 (b) 6 (c) 5 (d) 4
33. 33.If 27 October is a Monday, what day of the week is 14 November? (a) Thursday (b) Sunday (c) Friday (d) Saturday
34. 34.2/3 + 1/8 = ? (a) 3/11 (b) 3/4 (c) 5/6 (d) 19/24
35. 35.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 14 min (c) 20 min (d) 40 min
36. 36.What is the remainder when 286 is divided by 7? (a) 5 (b) 1 (c) 6 (d) 4
37. 37.Which is the smallest: 0.74, 0.099, 0.647, 0.7? (a) 0.74 (b) 0.099 (c) 0.647 (d) 0.7
38. 38.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 34%
39. 39.A shopkeeper buys a toy for ₹860 and sells it for ₹731. What is his loss percent? (a) 16% (b) 15% (c) 20% (d) 10%
40. 40.What is the average of all the whole numbers from 29 to 65? (a) 48 (b) 47 (c) 18 (d) 36

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