Class 10 Olympiads — Class 10 Maths Olympiad - Sample papers

Sample mock test paper - 50 questions: Q1) A triangle has sides of lengths 6, 10 and 11. An equilateral triangle has the same perimeter. What is the side length of the equilateral triangle? Q2) The sum of 2017 nonnegative integers is 2016. What is the product of the numbers>

Sample mock test paper - 50 questions: Q1) The tablecloth shown in the diagram below has a regular pattern. What percentage of the tablecloth is red? Q2) The diagram shows a shaded quadrilateral ABCD drawn on a grid. Each cell of the grid has sides of length 2 cm. What is the area of ABCD?

Probability - 30 questions: Q1) A coin is tossed 1000 times and 560 times a ‘head’ occurs. The empirical probability of occurrence of a Head in this case is ______. Q2) A die is thrown 200 times and the following outcomes are noted, with their frequencies:

Statistics - 30 questions: Q1) On conducting a survey on a group of 500 students of a particular school it is found that the height of most students is 145 cm, while 250 students are more than 150 cm tall. Find the average height of the entire group of 500 students. Q2) What is the mode of a data set whose median and mean are 156.10 and 182.15 respectively?

Surface Areas and Volumes - 30 questions: Q1) A hemispherical piece of wood is to be mounted at the end of a cylindrical wooden log with the same base. If the length of the log is four times its width, then what is the percentage increase in its total surface area? Q2) Three cubical blocks, each of volume 125 cm3, are joined end to end to form a cuboid. What is the total surface area of the cuboid so formed?

Arithmetic Progressions - 35 questions: Q1) The straight line 4x+3y-12=0 intersects they-axis at ______. Q2) What is the x-intercept of the line with equation: y=2x-8? Q3) What will be ...

Arithmetic Progressions - 35 questions: Q1) What is the first term of the A.P. whose common difference is 6 and the sum of whose first 33 terms is 3564? Q2) Four numbers form an A.P. such that their sum is 12 and the difference between the smallest and the largest of the four numbers is 6. What is the average of the two greatest numbers?

Quadratic equations - 30 questions: Q1) What is the value of k for the quadratic equation kx(x - 2) + 6 = 0 if the roots are equal? Q2) Which of the following is not a quadratic equation?

Pair of Linear Equations in Two Variables: Q1) Five years ago, Jack’s age was 7 times the age of his son. Five years later, his age will be 3 times the age of his son. What are the respective current ages of Jack and his son?

Polynomials - 15 Questions. Q1) Factor the following trinomial: 25a^2 + 25x + 25 Q2) If x = 2 is a zero of the polynomial 2x^2 + 3x - p, then the value of p is _____

Real numbers - 15 Questions. Q1) If HCF and LCM of two numbers are 4 and 9696, then the product of the two numbers is _______. Q2) Euclid’s division lemma states that for any two positive integer ‘a’ and ‘b’ there exists unique integers q and r such that a = bq + r where r must satisfy _____.