Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 466 · 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.Every pair follows the same rule: 3 : 7, 5 : 23, 7 : 47. What is 4 : ? (a) 11 (b) 8 (c) 15 (d) 14
2. 2.What is the value of the digit 7 in 93.748? (a) 7 (b) 0.07 (c) 0.007 (d) 0.7
3. 3.Every pair follows the same rule: 6 : 20, 7 : 21, 9 : 23. What is 2 : ? (a) 15 (b) 18 (c) 17 (d) 16
4. 4.What is the average of all the whole numbers from 23 to 43? (a) 33 (b) 34 (c) 20 (d) 10
5. 5.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
6. 6.What is the remainder when 88 is divided by 3? (a) 1 (b) 0 (c) 2
7. 7.What is the average of 56, 82, 72 and 70? (a) 69 (b) 71 (c) 72 (d) 70
8. 8.6 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 11 days (b) 25 days (c) 19 days (d) 9 days
9. 9.What is the units digit of 7^38? (a) 3 (b) 1 (c) 9 (d) 7
10. 10.What is the remainder when 460 is divided by 11? (a) 9 (b) 10 (c) 8 (d) 2
11. 11.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 57 (b) 78 (c) 35 (d) 50
12. 12.What is the value of the digit 1 in 61.325? (a) 0.1 (b) 10 (c) 0.01 (d) 1
13. 13.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 140 (b) 350 (c) 45 (d) 70
14. 14.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 35 (b) 66 (c) 64 (d) 65
15. 15.If 4 mangoes cost ₹36, how much do 8 mangoes cost? (a) ₹40 (b) ₹72 (c) ₹288 (d) ₹81
16. 16.What is 10% of 700? (a) 700 (b) 630 (c) 140 (d) 70
17. 17.What is the simple interest on ₹3000 at 11% per year for 5 years? (a) ₹330 (b) ₹1650 (c) ₹1980 (d) ₹4650
18. 18.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 6 (b) 15 (c) 10 (d) 19
19. 19.Which fraction is greater: 1/4 or 2/7? (a) 2/7 (b) They are equal (c) 1/4
20. 20.If 8x + 26 = 122, what is x? (a) 96 (b) 12 (c) 13 (d) 11
21. 21.6.71 + 7.4 = ? (a) 7.45 (b) 14.11 (c) 14.01 (d) 14.21
22. 22.Which fraction is greater: 1/4 or 3/5? (a) 3/5 (b) They are equal (c) 1/4
23. 23.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 28 (b) 160 (c) 40 (d) 80
24. 24.If 9x − 98 = 19, what is x? (a) 14 (b) 12 (c) 117 (d) 13
25. 25.What is the simple interest on ₹6500 at 2% per year for 5 years? (a) ₹650 (b) ₹7150 (c) ₹130 (d) ₹780
26. 26.Which fraction is greater: 2/3 or 8/11? (a) 8/11 (b) They are equal (c) 2/3
27. 27.In how many years will ₹9500 earn ₹2280 simple interest at 6% per year? (a) 4 years (b) 5 years (c) 3 years (d) 8 years
28. 28.A teacher has 16 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 8 (c) 4 (d) 40
29. 29.A teacher has 4 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 4 (c) 2 (d) 10
30. 30.If 29 January is a Friday, what day of the week is 13 February? (a) Monday (b) Sunday (c) Saturday (d) Friday
31. 31.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 48 sq cm (c) 32 sq cm (d) 36 sq cm
32. 32.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 92% (b) 10% (c) 5% (d) 15%
33. 33.Which of these numbers is divisible by 4? (a) 1608 (b) 1615 (c) 1610 (d) 1605
34. 34.What is 30% of 640? (a) 1920 (b) 192 (c) 384 (d) 448
35. 35.If 5x + 13 = 73, what is x? (a) 11 (b) 60 (c) 13 (d) 12
36. 36.2.32 + 7.7 = ? (a) 3.09 (b) 10.12 (c) 9.92 (d) 10.02
37. 37.What is the smallest number you must add to 148 to make it divisible by 3? (a) 2 (b) 1
38. 38.If 4x − 10 = 42, what is x? (a) 52 (b) 8 (c) 14 (d) 13
39. 39.1.21 + 2.9 = ? (a) 1.5 (b) 4.21 (c) 4.01 (d) 4.11
40. 40.What is the simple interest on ₹4000 at 5% per year for 3 years? (a) ₹600 (b) ₹4600 (c) ₹800 (d) ₹200

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