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.In how many years will ₹7500 earn ₹1125 simple interest at 5% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
- 2.1/2 + 3/4 = ? (a) 3/2 (b) 1 (c) 5/4 (d) 2/3
- 3.Which is the greatest: 0.343, 0.023, 0.4, 0.42? (a) 0.343 (b) 0.023 (c) 0.4 (d) 0.42
- 4.What is the simple interest on ₹2500 at 12% per year for 3 years? (a) ₹3400 (b) ₹1200 (c) ₹300 (d) ₹900
- 5.4 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 9 days (c) 16 days (d) 11 days
- 6.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 70 (b) 95 (c) 35 (d) 65
- 7.What is the average of all the whole numbers from 13 to 37? (a) 24 (b) 26 (c) 12 (d) 25
- 8.If 4x − 14 = 18, what is x? (a) 9 (b) 8 (c) 1 (d) 32
- 9.What is 15% of 220? (a) 66 (b) 187 (c) 33 (d) 330
- 10.If 2x + 8 = 32, what is x? (a) 24 (b) 12 (c) 13 (d) 20
- 11.If 7x + 30 = 86, what is x? (a) 7 (b) 8 (c) 9 (d) 56
- 12.If 3x + 6 = 45, what is x? (a) 39 (b) 13 (c) 17 (d) 14
- 13.1/2 + 2/3 = ? (a) 3/5 (b) 1 (c) 7/6 (d) 4/3
- 14.Every pair follows the same rule: 3 : 5, 8 : 20, 9 : 23. What is 2 : ? (a) 4 (b) 2 (c) 3 (d) 1
- 15.Every pair follows the same rule: 3 : 21, 6 : 24, 8 : 26. What is 2 : ? (a) 19 (b) 21 (c) 14 (d) 20
- 16.What is the average of 47, 55, 67, 44 and 57? (a) 55 (b) 54 (c) 56 (d) 53
- 17.Which of these numbers is divisible by 6? (a) 5060 (b) 5058 (c) 5057 (d) 5069
- 18.If 7 December is a Thursday, what day of the week is 22 December? (a) Thursday (b) Friday (c) Saturday (d) Sunday
- 19.In how many years will ₹10000 earn ₹800 simple interest at 4% per year? (a) 3 years (b) 1 year (c) 4 years (d) 2 years
- 20.What is the simple interest on ₹9500 at 11% per year for 2 years? (a) ₹11590 (b) ₹1045 (c) ₹2090 (d) ₹3135
- 21.What is the average of all the whole numbers from 20 to 32? (a) 12 (b) 27 (c) 26 (d) 6
- 22.What is 1/8 of 32? (a) 28 (b) 4 (c) 5 (d) 8
- 23.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 112 sq cm (c) 21 sq cm (d) 42 sq cm
- 24.Which is the greatest: 0.193, 0.2, 0.27, 0.025? (a) 0.193 (b) 0.2 (c) 0.27 (d) 0.025
- 25.Every pair follows the same rule: 2 : 6, 5 : 15, 7 : 21. What is 9 : ? (a) 26 (b) 28 (c) 13 (d) 27
- 26.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 27 cm (c) 46 cm (d) 54 cm
- 27.What is 5/7 of 63? (a) 45 (b) 9 (c) 18 (d) 54
- 28.If 6x − 65 = 1, what is x? (a) 66 (b) 10 (c) 11 (d) 12
- 29.Which fraction is greater: 6/11 or 1/3? (a) 6/11 (b) They are equal (c) 1/3
- 30.What is the average of all the whole numbers from 53 to 63? (a) 10 (b) 5 (c) 58 (d) 59
- 31.If x/2 + 7 = 16, what is x? (a) 46 (b) 9 (c) 18 (d) 25
- 32.6 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 13 days (c) 8 days (d) 12 days
- 33.A bag marked ₹1720 is sold at a 15% discount. What is its selling price? (a) ₹1705 (b) ₹258 (c) ₹1462 (d) ₹1978
- 34.Which is the smallest: 0.63, 0.064, 0.522, 0.6? (a) 0.63 (b) 0.064 (c) 0.522 (d) 0.6
- 35.3.77 + 1.5 = ? (a) 3.92 (b) 5.27 (c) 5.37 (d) 5.17
- 36.The simple interest on ₹4500 for 5 years is ₹900. What is the rate per year? (a) 20% (b) 3% (c) 4% (d) 5%
- 37.What is the remainder when 68 is divided by 5? (a) 1 (b) 4 (c) 3 (d) 2
- 38.What is the smallest number you must add to 98 to make it divisible by 6? (a) 2 (b) 5 (c) 4 (d) 3
- 39.A bag marked ₹1920 is sold at a 40% discount. What is its selling price? (a) ₹2688 (b) ₹1880 (c) ₹1152 (d) ₹768
- 40.What is 2/9 of 27? (a) 6 (b) 3 (c) 21 (d) 9
Answer key
- 3 years
- 5/4
- 0.42
- ₹900
- 16 days
- 95
- 25
- 8
- 33
- 12
- 8
- 13
- 7/6
- 2
- 20
- 54
- 5058
- Friday
- 2 years
- ₹2090
- 26
- 4
- 98 sq cm
- 0.27
- 27
- 54 cm
- 45
- 11
- 6/11
- 58
- 18
- 12 days
- ₹1462
- 0.064
- 5.27
- 4%
- 3
- 4
- ₹1152
- 6
Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad