CBSE 10 Maths Question Paper-2018

What is the value of (cos²67° – sin²23°)?

In an arithmetic progression, if the common difference (d) = -4, and the seventh term (a₇) is 4, what is the first term?

What is the distance of a point P(x, y) from the origin?

What is the HCF of the smallest prime number and the smallest composite number?

If x = 3 is one root of the quadratic equation x² – 2kx – 6 = 0, what is the value of k?

Given ΔABC ~ ΔPQR, if AB/PQ = 1/3, then find the ratio of the areas of ΔABC to ΔPQR.

Find the probability of getting a doublet when two dice are tossed.

An integer is chosen at random between 1 and 100. Find the probability that it is divisible by 8.

Find the sum of the first 8 multiples of 3.

Find the value of x and y in the rectangle ABCD if the coordinates of A, B, and C are given as (1,2), (3,5), and (4,6), respectively.

If A(–5, 7), B(–4, –5), C(–1, –6), and D(4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

Given that 2 is irrational, prove that (5 + 3√2) is an irrational number.

Find the HCF and LCM of 404 and 96 and verify that HCF × LCM = product of the two numbers.

Find all the zeroes of the polynomial (2x⁴ – 9x³ + 5x² + 3x – 1) if two of its zeroes are (2 + 3√2) and (2 – 3√2).

If A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence find the lengths of its sides.

Find the area of the quadrilateral ABCD, where A(–2, 3), B(4, 5), C(7, –4), and D(1, 6).

Find the sum of first 6 terms of an arithmetic progression where the first term is 3 and the common difference is 4.

What is the HCF of 36 and 60?

Find the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 1:3.

The area of a triangle is 60 square units. If the base is 10 units, find the height.

Find the value of x in the equation 3x – 5 = 16.

If the sum of two numbers is 50 and their difference is 10, find the numbers.

What is the probability of drawing a red card from a standard deck of 52 cards?

If a circle has a radius of 7 cm, find its circumference.

Find the area of a rectangle with length 12 cm and width 5 cm.

What is the value of x in the equation 2x + 3 = 7?

If the sum of two consecutive integers is 39, find the integers.

Find the sum of the first 12 terms of the arithmetic progression 4, 7, 10, 13,...

If the perimeter of a square is 48 cm, what is the length of each side?

Find the value of x in the equation 5x = 25.