Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 12 · 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.What is the smallest number you must add to 370 to make it divisible by 8? (a) 2 (b) 5 (c) 6 (d) 7
2. 2.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
3. 3.What is 25% of 460? (a) 230 (b) 345 (c) 115 (d) 1150
4. 4.If 8x − 9 = 7, what is x? (a) 3 (b) 1 (c) 2 (d) 16
5. 5.Two ribbons are 70 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 70 cm (c) 560 cm (d) 5 cm
6. 6.If 10 June is a Friday, what day of the week is 9 July? (a) Saturday (b) Friday (c) Monday (d) Sunday
7. 7.Every pair follows the same rule: 2 : 17, 5 : 20, 8 : 23. What is 9 : ? (a) 26 (b) 23 (c) 24 (d) 25
8. 8.What is the units digit of 9^20? (a) 0 (b) 2 (c) 9 (d) 1
9. 9.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 48 min (c) 140 min (d) 560 min
10. 10.What is 7/8 of 96? (a) 12 (b) 84 (c) 96 (d) 85
11. 11.A bag marked ₹1560 is sold at a 50% discount. What is its selling price? (a) ₹2340 (b) ₹780 (c) ₹781 (d) ₹1510
12. 12.1/2 + 1/2 = ? (a) 1 (b) 1/2 (c) 3/2 (d) 2
13. 13.If 8x + 4 = 2x + 58, what is x? (a) 9 (b) 11 (c) 8 (d) 10
14. 14.Which is the smallest: 0.3, 0.34, 0.299, 0.062? (a) 0.3 (b) 0.34 (c) 0.299 (d) 0.062
15. 15.2/3 + 1/2 = ? (a) 3/5 (b) 4/3 (c) 1 (d) 7/6
16. 16.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 336 (b) 168 (c) 40 (d) 84
17. 17.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
18. 18.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
19. 19.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 7 (b) 9 (c) 8 (d) 2
20. 20.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 16 sq cm (d) 24 sq cm
21. 21.If 5 mangoes cost ₹95, how much do 9 mangoes cost? (a) ₹190 (b) ₹99 (c) ₹171 (d) ₹855
22. 22.Which of these numbers is divisible by 11? (a) 1719 (b) 1716 (c) 1714 (d) 1733
23. 23.What is 2/7 of 49? (a) 21 (b) 35 (c) 7 (d) 14
24. 24.Which fraction is greater: 9/10 or 5/9? (a) 5/9 (b) They are equal (c) 9/10
25. 25.What is the simple interest on ₹1000 at 3% per year for 4 years? (a) ₹1120 (b) ₹120 (c) ₹150 (d) ₹30
26. 26.What is 15% of 680? (a) 578 (b) 1020 (c) 204 (d) 102
27. 27.2/3 + 4/5 = ? (a) 23/15 (b) 3/4 (c) 7/5 (d) 22/15
28. 28.Which fraction is greater: 3/4 or 10/11? (a) 10/11 (b) 3/4 (c) They are equal
29. 29.If x/4 + 6 = 18, what is x? (a) 48 (b) 96 (c) 66 (d) 12
30. 30.Every pair follows the same rule: 2 : 3, 6 : 15, 9 : 24. What is 4 : ? (a) 9 (b) 8 (c) 10 (d) 5
31. 31.What is the value of the digit 8 in 34.128? (a) 8 (b) 0.08 (c) 0.008 (d) 0.8
32. 32.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 120 (b) 54 (c) 720 (d) 240
33. 33.7.16 + 4.6 = ? (a) 11.76 (b) 11.86 (c) 11.66 (d) 7.62
34. 34.What is the smallest number you must add to 777 to make it divisible by 11? (a) 3 (b) 4 (c) 7 (d) 5
35. 35.A bag marked ₹1720 is sold at a 30% discount. What is its selling price? (a) ₹2236 (b) ₹1690 (c) ₹1204 (d) ₹516
36. 36.₹189 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹163 (b) ₹189 (c) ₹162 (d) ₹27
37. 37.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 240 (b) 120 (c) 480 (d) 44
38. 38.A bag marked ₹580 is sold at a 15% discount. What is its selling price? (a) ₹87 (b) ₹565 (c) ₹493 (d) ₹667
39. 39.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 160 min (b) 28 min (c) 4 min (d) 40 min
40. 40.If 3x + 12 = 18, what is x? (a) 3 (b) 10 (c) 2 (d) 6

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