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.What is 8/9 of 36? (a) 4 (b) 33 (c) 32 (d) 36
- 2.Every pair follows the same rule: 2 : 10, 4 : 22, 9 : 87. What is 3 : ? (a) 9 (b) 11 (c) 16 (d) 15
- 3.Today is Monday. What day of the week will it be after 38 days? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
- 4.Every pair follows the same rule: 4 : 19, 6 : 21, 7 : 22. What is 9 : ? (a) 26 (b) 25 (c) 23 (d) 24
- 5.What is the average of all the whole numbers from 51 to 79? (a) 65 (b) 14 (c) 66 (d) 28
- 6.Today is Sunday. What day of the week will it be after 46 days? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
- 7.What is 5/6 of 24? (a) 20 (b) 21 (c) 24 (d) 4
- 8.Which fraction is greater: 1/4 or 1/6? (a) 1/6 (b) They are equal (c) 1/4
- 9.Every pair follows the same rule: 2 : 13, 5 : 19, 6 : 21. What is 9 : ? (a) 20 (b) 28 (c) 26 (d) 27
- 10.A shopkeeper buys a toy for ₹140 and sells it for ₹147. What is his profit percent? (a) 5% (b) 7% (c) 10% (d) 6%
- 11.In how many years will ₹9500 earn ₹2280 simple interest at 12% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
- 12.Which of these numbers is divisible by 11? (a) 4876 (b) 4892 (c) 4873 (d) 4872
- 13.Which of these numbers is divisible by 4? (a) 2716 (b) 2718 (c) 2722 (d) 2715
- 14.9.01 + 9.2 = ? (a) 18.21 (b) 18.31 (c) 9.93 (d) 18.11
- 15.What is the average of 44, 45, 50, 64 and 92? (a) 60 (b) 58 (c) 59 (d) 61
- 16.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 9 days (d) 7 days
- 17.If x/5 + 11 = 17, what is x? (a) 30 (b) 140 (c) 6 (d) 74
- 18.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 19.The simple interest on ₹5000 for 4 years is ₹600. What is the rate per year? (a) 4% (b) 12% (c) 2% (d) 3%
- 20.Today is Monday. What day of the week will it be after 100 days? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
- 21.Which of these numbers is divisible by 8? (a) 7067 (b) 7077 (c) 7064 (d) 7059
- 22.If 10 March is a Monday, what day of the week is 14 April? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
- 23.Every pair follows the same rule: 2 : 11, 3 : 12, 7 : 16. What is 9 : ? (a) 19 (b) 17 (c) 18 (d) 20
- 24.Which is the smallest: 0.085, 0.54, 0.471, 0.5? (a) 0.085 (b) 0.54 (c) 0.471 (d) 0.5
- 25.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 42 (c) 84 (d) 20
- 26.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 27 (b) 3 (c) 28 (d) 36
- 27.What is the average of all the whole numbers from 49 to 71? (a) 61 (b) 22 (c) 60 (d) 11
- 28.Every pair follows the same rule: 3 : 14, 4 : 21, 5 : 30. What is 8 : ? (a) 57 (b) 70 (c) 19 (d) 69
- 29.What is the value of the digit 8 in 34.918? (a) 0.008 (b) 0.08 (c) 8 (d) 0.8
- 30.If 4x + 3 = x + 12, what is x? (a) 5 (b) 3 (c) 4 (d) 2
- 31.Which fraction is greater: 2/7 or 1/3? (a) 2/7 (b) They are equal (c) 1/3
- 32.Which is the greatest: 0.536, 0.6, 0.69, 0.034? (a) 0.536 (b) 0.6 (c) 0.69 (d) 0.034
- 33.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
- 34.Two ribbons are 24 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 32 cm (c) 24 cm (d) 4 cm
- 35.Which fraction is greater: 4/7 or 1/4? (a) They are equal (b) 4/7 (c) 1/4
- 36.Which is the smallest: 0.4, 0.391, 0.059, 0.41? (a) 0.4 (b) 0.391 (c) 0.059 (d) 0.41
- 37.Every pair follows the same rule: 2 : 10, 4 : 22, 8 : 70. What is 5 : ? (a) 13 (b) 34 (c) 25 (d) 31
- 38.What is 1/2 of 8? (a) 3 (b) 4 (c) 8 (d) 5
- 39.If 2x − 2 = 12, what is x? (a) 5 (b) 7 (c) 14 (d) 8
- 40.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
Answer key
- 32
- 15
- Thursday
- 24
- 65
- Thursday
- 20
- 1/4
- 27
- 5%
- 2 years
- 4873
- 2716
- 18.21
- 59
- 8 days
- 30
- 10 cm
- 3%
- Wednesday
- 7064
- Monday
- 18
- 0.085
- 42
- 27
- 60
- 69
- 0.008
- 3
- 1/3
- 0.69
- 121 sq cm
- 8 cm
- 4/7
- 0.059
- 31
- 4
- 7
- 81 sq cm
Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad