## Circles HOTs Class 10 Mathematics

1 Mark Questions Question. PQ and PR are the tangents form the external point P. If the sum of the lengths of PQ and PR is 12.4 cm, what is the length of PR? Question. In figure PQ is a tangent to a circle with centre O. What is the measure of ∠OPQ ? Question. In […]

## Mensuration HOTs Class 10 Mathematics

Question. The numerical difference between circumference & diameter is 45 cm. What is the radius of the circle? Question. The plastic string with a small ball of a toy is moving to & fro making an angle of 80° at a particular instant if length of arc is 8.8 cm, find length of string. Question. From each vertex […]

## Statistics HOTs Class 10 Mathematics

1 Mark Questions Question. Which measure of control tendency is given by the x-coordinate of the point of intersection of the ‘more than Ogive’ and ‘less than Ogive’. Question. Write an empirical relationship between the three central tendency. Question. Find the median, if Mean = 100 and Mode = 112 Question. What is the value […]

## Coordinate Geometry HOTs Class 10 Mathematics

1 Mark Questions Question. Write the value of a & b if (2, –3) is the mid point of the segment joining (2, a) & (b, –1). Question. Write the value of k if distance between (k, 3) & (4, 5) is √5 . Question. (5, 5), (3, 3) & (–2, –11) are the coordinates […]

## Triangles HOTs Class 10 Mathematics

1 Mark Questions Question. Write cot A in terms of sin A. Question. Write the value of sin 62° sin 28° – cos62° cos 28° Question. If 3tanθ = 4 , then write the value of tanθ + cotθ . Question. Express sec79° + cot 61° in terms of trigonometrical ratios of angles between 0° and 45° . Question. Polygon ABCDE ∼ […]

## Quadratic Equation HOTs Class 10 Mathematics

Question. Write the discriminants of each of the following :- Question. State whether the following equations are quadratic equations :- Question. One of the roots of the equation 2×2 – 5x + k = 0 is 3. Find the value of k. Question. Write the natural of roots of following equations :- Question. Find the […]

## Arithmetic Progression HOTs Class 10 Mathematics

1 mark question :- Question. nth term of a sequence is 3 – 5n. Is it A.P.? Question. Write 17th term of the A.P. 3, 7, 11, . . . . . . . . Question. Which term of –3, 1. 5, . . . . . . . is 69? Question. If nth term […]

## Linear Equations HOTs Class 10 Mathematics￼

1 mark questions :- Question. Find out whether the lines representing the following pair of linear equations are parallel or coincide :-6x – 3y +10 = 0 ; 2x – y + 9 = 0 Question. Is the pair of linear equations consistent :- x + y = 3 ; 3x – 2y = 4 […]

## Polynomials HOTs Class 10 Mathematics

1 Mark Questions Question. Is x = –1, a zero of the polynomial x2 – 2x –1 ? Question. Write the degree of the polynomial x2 – 2x + x3 – x2 + 7 . Question. Write the sum of zeros of quadratic polynomial x2 –10x +16 . Question. Write the coefficient of x in quadratic polynomial x2 – 5x + 6 . Question. Write […]

## Real Numbers HOTs Class 10 Mathematics

1 Mark Questions :- Question. If LCM (52, 182) = 364, write HCF (52, 182). Question. State whether 6/300 has terminating or non-terminating repeating (recurring) decimal expansion. Question. Write two rational numbers between 1/2 and 2/3 . Question. State whether 3×7×17×19+17 is a prime number or composite number. Question. State whether 123/23×3×52 has terminating or non-terminating recurring decimal expansion. Question. […]