Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 917 · 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.The simple interest on ₹7000 for 5 years is ₹2100. What is the rate per year? (a) 5% (b) 7% (c) 6% (d) 30%
2. 2.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 2 min (c) 30 min (d) 60 min
3. 3.What is the smallest number you must add to 381 to make it divisible by 5? (a) 1 (b) 2 (c) 4 (d) 3
4. 4.In how many years will ₹2500 earn ₹525 simple interest at 7% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
5. 5.What is the remainder when 37 is divided by 3? (a) 2 (b) 0 (c) 1
6. 6.2.16 + 9.1 = ? (a) 11.16 (b) 3.07 (c) 11.36 (d) 11.26
7. 7.What is 1/4 of 36? (a) 10 (b) 18 (c) 9 (d) 27
8. 8.What is the value of the digit 2 in 37.256? (a) 0.002 (b) 2 (c) 0.2 (d) 0.02
9. 9.What is the smallest number you must add to 877 to make it divisible by 11? (a) 8 (b) 3 (c) 2 (d) 4
10. 10.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 24 sq cm (c) 42 sq cm (d) 12 sq cm
11. 11.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 25 cm (d) 63 cm
12. 12.Every pair follows the same rule: 2 : 12, 4 : 24, 8 : 72. What is 7 : ? (a) 17 (b) 42 (c) 60 (d) 57
13. 13.A teacher has 12 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 6 (c) 12 (d) 30
14. 14.Every pair follows the same rule: 3 : 6, 6 : 12, 9 : 18. What is 2 : ? (a) 5 (b) 6 (c) 3 (d) 4
15. 15.9.54 + 6.7 = ? (a) 10.21 (b) 16.34 (c) 16.24 (d) 16.14
16. 16.If 11 August is a Tuesday, what day of the week is 19 August? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
17. 17.If 3 pens cost ₹9, how much do 4 pens cost? (a) ₹10 (b) ₹12 (c) ₹15 (d) ₹36
18. 18.If 6 kites cost ₹132, how much do 2 kites cost? (a) ₹66 (b) ₹264 (c) ₹44 (d) ₹128
19. 19.If 24 November is a Wednesday, what day of the week is 6 December? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
20. 20.Two ribbons are 40 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 16 cm (c) 40 cm (d) 4 cm
21. 21.In how many years will ₹1000 earn ₹270 simple interest at 9% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
22. 22.If 10 October is a Sunday, what day of the week is 22 October? (a) Sunday (b) Thursday (c) Friday (d) Saturday
23. 23.Which of these numbers is divisible by 11? (a) 6908 (b) 6918 (c) 6901 (d) 6921
24. 24.₹5000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹5350 (b) ₹5700 (c) ₹700 (d) ₹6050
25. 25.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 700 min (c) 55 min (d) 140 min
26. 26.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 5 : ? (a) 126 (b) 101 (c) 5 (d) 125
27. 27.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 47 (b) 27 (c) 3 (d) 28
28. 28.What is the units digit of 8^26? (a) 6 (b) 8 (c) 4 (d) 2
29. 29.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
30. 30.A shopkeeper buys a toy for ₹420 and sells it for ₹252. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
31. 31.If 4 May is a Saturday, what day of the week is 16 May? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
32. 32.What is 60% of 340? (a) 408 (b) 204 (c) 2040 (d) 136
33. 33.₹8500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹12325 (b) ₹9265 (c) ₹3060 (d) ₹11560
34. 34.What is the smallest number you must add to 232 to make it divisible by 3? (a) 1 (b) 2
35. 35.In how many years will ₹8000 earn ₹3840 simple interest at 12% per year? (a) 4 years (b) 3 years (c) 8 years (d) 5 years
36. 36.Every pair follows the same rule: 4 : 8, 6 : 12, 7 : 14. What is 8 : ? (a) 17 (b) 15 (c) 12 (d) 16
37. 37.Which is the greatest: 0.076, 0.74, 0.7, 0.672? (a) 0.076 (b) 0.74 (c) 0.7 (d) 0.672
38. 38.What is 10% of 520? (a) 52 (b) 468 (c) 520 (d) 104
39. 39.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
40. 40.Which of these numbers is divisible by 6? (a) 4171 (b) 4161 (c) 4164 (d) 4169

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