Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 316 · 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. 1.1/2 + 2/7 = ? (a) 11/14 (b) 5/7 (c) 6/7 (d) 1/3
2. 2.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
3. 3.What is the value of the digit 9 in 92.468? (a) 9 (b) 0.09 (c) 0.9 (d) 90
4. 4.If 2 December is a Sunday, what day of the week is 11 December? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
5. 5.Every pair follows the same rule: 3 : 6, 8 : 61, 9 : 78. What is 7 : ? (a) 10 (b) 46 (c) 14 (d) 44
6. 6.If 4 January is a Friday, what day of the week is 13 January? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
7. 7.What is the value of the digit 2 in 21.734? (a) 20 (b) 2 (c) 0.2 (d) 0.02
8. 8.A teacher has 21 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 21 (c) 7 (d) 1
9. 9.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 36 cm (d) 112 cm
10. 10.What is the simple interest on ₹9000 at 6% per year for 2 years? (a) ₹540 (b) ₹1080 (c) ₹1620 (d) ₹10080
11. 11.₹90 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹36 (b) ₹18 (c) ₹45 (d) ₹54
12. 12.₹1000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹240 (b) ₹1120 (c) ₹1240 (d) ₹1360
13. 13.If 3x − 16 = 2, what is x? (a) 18 (b) 5 (c) 7 (d) 6
14. 14.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 102 cm (d) 40 cm
15. 15.Every pair follows the same rule: 3 : 7, 5 : 11, 9 : 19. What is 8 : ? (a) 16 (b) 17 (c) 12 (d) 18
16. 16.2.79 + 7.6 = ? (a) 10.49 (b) 3.55 (c) 10.29 (d) 10.39
17. 17.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 56 cm
18. 18.Which fraction is greater: 3/4 or 3/5? (a) 3/5 (b) They are equal (c) 3/4
19. 19.What is 5/7 of 21? (a) 15 (b) 3 (c) 18 (d) 6
20. 20.What is the simple interest on ₹5500 at 11% per year for 4 years? (a) ₹7920 (b) ₹2420 (c) ₹3025 (d) ₹605
21. 21.A bag marked ₹1180 is sold at a 15% discount. What is its selling price? (a) ₹1003 (b) ₹1357 (c) ₹177 (d) ₹1165
22. 22.What is the value of the digit 2 in 57.923? (a) 2 (b) 0.002 (c) 0.2 (d) 0.02
23. 23.Which fraction is greater: 4/7 or 1/5? (a) They are equal (b) 4/7 (c) 1/5
24. 24.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 6% (b) 25% (c) 5% (d) 10%
25. 25.Two ribbons are 14 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 7 cm (c) 1 cm (d) 49 cm
26. 26.If 6x + 30 = 108, what is x? (a) 23 (b) 78 (c) 13 (d) 14
27. 27.What is 30% of 980? (a) 2940 (b) 686 (c) 588 (d) 294
28. 28.Which is the smallest: 0.068, 0.3, 0.36, 0.218? (a) 0.068 (b) 0.3 (c) 0.36 (d) 0.218
29. 29.₹2500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹550 (b) ₹3050 (c) ₹3325 (d) ₹2775
30. 30.If 12 October is a Wednesday, what day of the week is 4 November? (a) Thursday (b) Sunday (c) Friday (d) Saturday
31. 31.What is 1/2 of 20? (a) 9 (b) 10 (c) 20 (d) 11
32. 32.1/2 + 1/6 = ? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/2
33. 33.Which fraction is greater: 5/6 or 4/5? (a) 5/6 (b) They are equal (c) 4/5
34. 34.Which fraction is greater: 1/7 or 3/4? (a) They are equal (b) 3/4 (c) 1/7
35. 35.What is the remainder when 166 is divided by 3? (a) 0 (b) 2 (c) 1
36. 36.A bag marked ₹1600 is sold at a 50% discount. What is its selling price? (a) ₹801 (b) ₹1550 (c) ₹800 (d) ₹2400
37. 37.What is the simple interest on ₹1500 at 3% per year for 5 years? (a) ₹225 (b) ₹1725 (c) ₹45 (d) ₹270
38. 38.A bag marked ₹1620 is sold at a 25% discount. What is its selling price? (a) ₹1595 (b) ₹405 (c) ₹2025 (d) ₹1215
39. 39.What is the value of the digit 9 in 69.253? (a) 0.9 (b) 0.09 (c) 90 (d) 9
40. 40.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 99 sq cm (c) 110 sq cm (d) 40 sq cm

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