Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 392 · 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 6x + 22 = 70, what is x? (a) 48 (b) 8 (c) 7 (d) 9
2. 2.If x/3 + 10 = 16, what is x? (a) 6 (b) 18 (c) 78 (d) 38
3. 3.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 11 sq cm (d) 32 sq cm
4. 4.What is the average of all the whole numbers from 55 to 85? (a) 70 (b) 71 (c) 15 (d) 30
5. 5.1.72 + 5.9 = ? (a) 7.62 (b) 7.52 (c) 7.72 (d) 2.31
6. 6.A teacher has 20 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 8 (d) 20
7. 7.Every pair follows the same rule: 2 : 10, 3 : 14, 8 : 34. What is 4 : ? (a) 12 (b) 19 (c) 18 (d) 20
8. 8.6.43 + 2.3 = ? (a) 8.83 (b) 8.63 (c) 8.73 (d) 6.66
9. 9.If 5x + 1 = 31, what is x? (a) 6 (b) 7 (c) 5 (d) 30
10. 10.If 5x + 5 = 2x + 41, what is x? (a) 11 (b) 14 (c) 13 (d) 12
11. 11.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
12. 12.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 165 sq cm (c) 26 sq cm (d) 180 sq cm
13. 13.What is 3/4 of 32? (a) 25 (b) 24 (c) 32 (d) 8
14. 14.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 150 sq cm (c) 135 sq cm (d) 24 sq cm
15. 15.Which fraction is greater: 1/3 or 1/5? (a) 1/5 (b) They are equal (c) 1/3
16. 16.Which of these numbers is divisible by 11? (a) 4774 (b) 4772 (c) 4779 (d) 4786
17. 17.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
18. 18.A bag marked ₹380 is sold at a 40% discount. What is its selling price? (a) ₹340 (b) ₹152 (c) ₹228 (d) ₹532
19. 19.What is the average of all the whole numbers from 31 to 63? (a) 16 (b) 48 (c) 32 (d) 47
20. 20.4/8 + 3/4 = ? (a) 11/8 (b) 9/8 (c) 7/12 (d) 5/4
21. 21.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 63 (b) 96 (c) 40 (d) 47
22. 22.If 2x + 4 = 32, what is x? (a) 14 (b) 28 (c) 15 (d) 18
23. 23.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 12 days (c) 19 days (d) 18 days
24. 24.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 70 (b) 116 (c) 53 (d) 60
25. 25.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) 33 (b) 1 (c) 22 (d) 11
26. 26.₹8000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹480 (b) ₹8640 (c) ₹8160 (d) ₹8480
27. 27.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 12 cm (d) 11 cm
28. 28.A shopkeeper buys a toy for ₹980 and sells it for ₹833. What is his loss percent? (a) 10% (b) 16% (c) 15% (d) 20%
29. 29.₹9500 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹14725 (b) ₹5225 (c) ₹10545 (d) ₹15770
30. 30.A teacher has 24 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 3 (c) 216 (d) 1
31. 31.What is the remainder when 681 is divided by 11? (a) 1 (b) 8 (c) 9 (d) 10
32. 32.2.88 + 3.1 = ? (a) 3.19 (b) 6.08 (c) 5.98 (d) 5.88
33. 33.If 3 mangoes cost ₹33, how much do 5 mangoes cost? (a) ₹35 (b) ₹66 (c) ₹165 (d) ₹55
34. 34.If 4x − 55 = 5, what is x? (a) 60 (b) 16 (c) 14 (d) 15
35. 35.What is the value of the digit 9 in 31.296? (a) 9 (b) 0.9 (c) 0.09 (d) 0.009
36. 36.What is the smallest number you must add to 209 to make it divisible by 5? (a) 4 (b) 3 (c) 1 (d) 2
37. 37.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 43 cm (c) 26 cm (d) 52 cm
38. 38.If 13 April is a Monday, what day of the week is 16 May? (a) Sunday (b) Saturday (c) Friday (d) Monday
39. 39.What is the smallest number you must add to 134 to make it divisible by 7? (a) 6 (b) 5 (c) 1 (d) 4
40. 40.What is the value of the digit 4 in 29.348? (a) 0.004 (b) 0.4 (c) 0.04 (d) 4

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