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.Which fraction is greater: 6/11 or 1/3? (a) 1/3 (b) 6/11 (c) They are equal
- 2.What is 25% of 220? (a) 110 (b) 550 (c) 165 (d) 55
- 3.What is the value of the digit 6 in 76.915? (a) 60 (b) 0.6 (c) 6 (d) 0.06
- 4.Which of these numbers is divisible by 9? (a) 6115 (b) 6122 (c) 6111 (d) 6108
- 5.Today is Wednesday. What day of the week will it be after 11 days? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
- 6.A bag marked ₹600 is sold at a 15% discount. What is its selling price? (a) ₹585 (b) ₹510 (c) ₹690 (d) ₹90
- 7.If 6x + 16 = 82, what is x? (a) 12 (b) 11 (c) 10 (d) 66
- 8.If 2 kites cost ₹22, how much do 8 kites cost? (a) ₹176 (b) ₹88 (c) ₹28 (d) ₹99
- 9.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 6 : ? (a) 216 (b) 84 (c) 217 (d) 6
- 10.If 20 July is a Saturday, what day of the week is 6 August? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
- 11.What is 2/3 of 33? (a) 33 (b) 11 (c) 23 (d) 22
- 12.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 22 (c) 27 (d) 21
- 13.If x/5 + 10 = 13, what is x? (a) 115 (b) 3 (c) 55 (d) 15
- 14.If 9x − 17 = 1, what is x? (a) 1 (b) 2 (c) 3 (d) 18
- 15.What is the average of all the whole numbers from 43 to 55? (a) 6 (b) 12 (c) 50 (d) 49
- 16.3.81 + 8.7 = ? (a) 12.41 (b) 12.51 (c) 4.68 (d) 12.61
- 17.If 5 May is a Saturday, what day of the week is 16 May? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
- 18.If 14 November is a Tuesday, what day of the week is 19 December? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
- 19.If 3 notebooks cost ₹69, how much do 6 notebooks cost? (a) ₹72 (b) ₹414 (c) ₹138 (d) ₹161
- 20.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 24 (b) 25 (c) 48 (d) 14
- 21.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 48 sq cm (d) 32 sq cm
- 22.If 1 December is a Tuesday, what day of the week is 10 December? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
- 23.Which is the greatest: 0.471, 0.5, 0.58, 0.011? (a) 0.471 (b) 0.5 (c) 0.58 (d) 0.011
- 24.Which fraction is greater: 1/10 or 4/5? (a) They are equal (b) 1/10 (c) 4/5
- 25.A shopkeeper buys a toy for ₹140 and sells it for ₹161. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 10%
- 26.A shopkeeper buys a toy for ₹740 and sells it for ₹925. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
- 27.If 10 December is a Friday, what day of the week is 19 December? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
- 28.6.41 + 7.2 = ? (a) 13.71 (b) 7.13 (c) 13.51 (d) 13.61
- 29.What is the value of the digit 9 in 24.598? (a) 0.9 (b) 0.009 (c) 0.09 (d) 9
- 30.In how many years will ₹8500 earn ₹1785 simple interest at 7% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
- 31.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 28 (b) 29 (c) 40 (d) 84
- 32.A shopkeeper buys a toy for ₹140 and sells it for ₹98. What is his loss percent? (a) 42% (b) 30% (c) 35% (d) 25%
- 33.If 12 March is a Tuesday, what day of the week is 20 March? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
- 34.8.37 + 4.1 = ? (a) 12.47 (b) 12.57 (c) 8.78 (d) 12.37
- 35.In how many years will ₹8000 earn ₹4400 simple interest at 11% per year? (a) 10 years (b) 4 years (c) 5 years (d) 6 years
- 36.What is the simple interest on ₹3000 at 11% per year for 3 years? (a) ₹990 (b) ₹330 (c) ₹1320 (d) ₹3990
- 37.What is 5% of 480? (a) 48 (b) 240 (c) 456 (d) 24
- 38.₹36 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹9 (b) ₹36 (c) ₹18 (d) ₹27
- 39.A teacher has 24 pencils and 60 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 6 (c) 24 (d) 36
- 40.A bag marked ₹940 is sold at a 10% discount. What is its selling price? (a) ₹930 (b) ₹1034 (c) ₹94 (d) ₹846
Answer key
- 6/11
- 55
- 6
- 6111
- Sunday
- ₹510
- 11
- ₹88
- 216
- Tuesday
- 22
- 21
- 15
- 2
- 49
- 12.51
- Wednesday
- Tuesday
- ₹138
- 24
- 48 sq cm
- Thursday
- 0.58
- 4/5
- 15%
- 25%
- Sunday
- 13.61
- 0.09
- 3 years
- 28
- 30%
- Wednesday
- 12.47
- 5 years
- ₹990
- 24
- ₹27
- 12
- ₹846
Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad