Maths Olympiad Sample Paper (Practice)
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.
NameDateTime takenScore ___ / 40
- 1.If 9 pens cost ₹180, how much do 4 pens cost? (a) ₹175 (b) ₹100 (c) ₹720 (d) ₹80
- 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
- 3.What is the simple interest on ₹10000 at 7% per year for 5 years? (a) ₹700 (b) ₹4200 (c) ₹3500 (d) ₹13500
- 4.What is the smallest number you must add to 82 to make it divisible by 8? (a) 5 (b) 6 (c) 2 (d) 7
- 5.If 7 January is a Wednesday, what day of the week is 18 January? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
- 6.What is the value of the digit 3 in 35.812? (a) 0.03 (b) 30 (c) 3 (d) 0.3
- 7.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 36 sq cm (d) 24 sq cm
- 8.A shopkeeper buys a toy for ₹700 and sells it for ₹770. What is his profit percent? (a) 5% (b) 10% (c) 70% (d) 15%
- 9.₹9500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹10640 (b) ₹11210 (c) ₹10070 (d) ₹1140
- 10.Which is the greatest: 0.31, 0.3, 0.067, 0.273? (a) 0.31 (b) 0.3 (c) 0.067 (d) 0.273
- 11.If 2x − 4 = 16, what is x? (a) 20 (b) 11 (c) 6 (d) 10
- 12.Which fraction is greater: 1/9 or 1/3? (a) 1/9 (b) They are equal (c) 1/3
- 13.Which is the smallest: 0.021, 0.2, 0.23, 0.112? (a) 0.021 (b) 0.2 (c) 0.23 (d) 0.112
- 14.What is the smallest number you must add to 833 to make it divisible by 12? (a) 8 (b) 7 (c) 5 (d) 6
- 15.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 60 (c) 76 (d) 24
- 16.Which fraction is greater: 7/8 or 3/10? (a) They are equal (b) 3/10 (c) 7/8
- 17.If 8x + 10 = 66, what is x? (a) 7 (b) 6 (c) 56 (d) 8
- 18.4/6 + 2/4 = ? (a) 5/4 (b) 13/12 (c) 7/6 (d) 3/5
- 19.What is the value of the digit 8 in 31.489? (a) 0.008 (b) 0.8 (c) 8 (d) 0.08
- 20.₹468 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹180 (b) ₹36 (c) ₹288 (d) ₹234
- 21.What is 1/2 of 4? (a) 3 (b) 1 (c) 2 (d) 4
- 22.What is the smallest number you must add to 170 to make it divisible by 11? (a) 7 (b) 5 (c) 6 (d) 8
- 23.Which fraction is greater: 2/3 or 7/8? (a) 2/3 (b) They are equal (c) 7/8
- 24.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 60 min (c) 360 min (d) 6 min
- 25.If 5 October is a Friday, what day of the week is 18 October? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
- 26.Every pair follows the same rule: 5 : 32, 6 : 43, 9 : 88. What is 3 : ? (a) 30 (b) 17 (c) 15 (d) 16
- 27.What is the average of all the whole numbers from 31 to 51? (a) 10 (b) 41 (c) 42 (d) 20
- 28.Today is Friday. What day of the week will it be after 98 days? (a) Friday (b) Sunday (c) Saturday (d) Thursday
- 29.₹378 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹168 (b) ₹42 (c) ₹189 (d) ₹210
- 30.If 7 mangoes cost ₹63, how much do 8 mangoes cost? (a) ₹72 (b) ₹64 (c) ₹504 (d) ₹81
- 31.What is the average of 29, 27, 37, 38 and 54? (a) 37 (b) 39 (c) 38 (d) 36
- 32.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 39 (b) 378 (c) 252 (d) 126
- 33.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
- 34.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 20 cm (d) 42 cm
- 35.What is the average of all the whole numbers from 16 to 42? (a) 30 (b) 29 (c) 13 (d) 26
- 36.What is the simple interest on ₹3000 at 11% per year for 3 years? (a) ₹330 (b) ₹3990 (c) ₹1320 (d) ₹990
- 37.If 5 pens cost ₹120, how much do 10 pens cost? (a) ₹264 (b) ₹240 (c) ₹125 (d) ₹1200
- 38.Every pair follows the same rule: 3 : 7, 8 : 62, 9 : 79. What is 2 : ? (a) 3 (b) 2 (c) 1 (d) 6
- 39.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
- 40.7.54 + 1.9 = ? (a) 9.44 (b) 9.54 (c) 7.73 (d) 9.34
Answer key
- ₹80
- 49 sq cm
- ₹3500
- 6
- Sunday
- 30
- 24 sq cm
- 10%
- ₹10640
- 0.31
- 10
- 1/3
- 0.021
- 7
- 76
- 7/8
- 7
- 7/6
- 0.08
- ₹288
- 2
- 6
- 7/8
- 60 min
- Thursday
- 16
- 41
- Friday
- ₹210
- ₹72
- 37
- 126
- 169 sq cm
- 26 cm
- 29
- ₹990
- ₹240
- 2
- 225 sq cm
- 9.44
Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad