Class 10 Olympiads — Class 10 Maths Olympiad - Sample papers

ICAS Maths Official sample paper: Q1) In the toy car shown, the diameters of the back wheels are one-and-a-half times the diameters of the front wheels. When the car travels one metre, the back wheels go around 6 times. How many times do the front wheels go around when the car travels one metre?

NIMO Official sample paper: Q1) Sum of all integers less than 100 which leave a remainder 1 when divided by 3 and leave a remainder 2 when divided by 4 is ______. Q2) An eight digit number is a multiple of 73 and 137. If the second digit from left is 7, then 6th digit from the left of the number is ______.

UIMO Official sample paper: Q1) The hypotenuse of a right-angled triangle is (l + 1) cm, while the length of one of its sides is m cm. Find the length of the other side of the triangle if l2 + 2l = m2 + n2 + 2n, where n is a natural number.

iOM Official sample paper: Q1) In the figure given below, two identical circles are intersecting each other at A and B. If O and O’ are their centres and OAO’B forms a square of side 1 cm, then find the area (in sq cm) of the shaded portion.

IMO Official sample paper: Q1) The average score of a player in 10 innings was 77 runs. In the 11th inning he had scored zero runs. The overall average score in all the 11 innings was ____. Q) A number is chosen at random from 1 to 120. The probability of the number chosen being a multiple of 3 and 15 both is _____.

Trignometry online test: Q) A 25 feet high tree is broken at a certain point. As a result, the top of the tree touches the ground 10 feet away from the bottom of the tree. The unbroken part of the tree is still perpendicular to the ground.At what height from the ground is the tree is broken?

Triangles - Online test: Q) In a pond, a lotus flower is seen 1 foot above the surface of water. Due to the flow of wind, it leans to one side and immerses in water at a distance of 4 feet from its original position.

[Assume that the lotus flower is straight and its base is fixed below the surface of the pond]

Weekly Online mock test: Q) A group of girls stands in a circle. Swarna is the fourth on the left from Sheela and the seventh on the right from Sheela. How many girls are in the group? Q) The diagram shows a stripy isosceles triangle and its height. Each stripe has the same height. What fraction of the area of the triangle is white?