# CBSE Extra Questions For Class 10 Maths

## CBSE Extra Questions for Class 10 Mathematics

Students may find CBSE Class 10 Mathematics Extra questions here on Extramarks, which will help them in their preparation for the CBSE Class 10 board exams and various other matriculation level exams. To master the Mathematics topics and score well on the CBSE exams, it is necessary to retain important concepts in Mathematics.

This set of CBSE Class 10 Mathematics additional problems will undoubtedly assist CBSE Class 10 students in reaching their objectives. Extramarks has provided all the important questions from the NCERT books and the CBSE syllabus. Students can easily access extra questions to practice for class 10 Mathematics on Extramarks official website.

## Importance of CBSE Extra Questions for Class 10 Mathematics

The CBSE Class 10 Mathematics additional questions provided here are  based on the student’s board-level understanding. All of the significant questions may be found in all of the Mathematics chapters, and it is recommended that you solve them regularly. Without tackling these CBSE additional questions for Class 10 Mathematics, preparing for the Mathematics topic will be incomplete, and it is recommended that they be solved last as final preparation material. Students can expect some of the questions presented here in their board exams, but the context may vary.

These questions are based on NCERT books, CBSE syllabus, CBSE sample paper, CBSE previous year question paper, so students get a rough idea of what will come in final exams, and through these Extra questions, students also get benefit in scoring high marks in mathematics.

## CBSE Extra Questions Class 10 Mathematics

### Real Numbers Class 10 Extra Questions

Here you will get Real Numbers Class 10 Extra Questions Mathematics, which are based on NCERT books and follow the new CBSE Exam Pattern.

1. Write the rational number ⅚ in decimal manner.
2. State the difference between rational and irrational numbers. State examples.
3. Show by an example that a rational number may be the product of an irrational number.
4. State whether 0 is a rational or irrational number.

### Polynomials Class 10 Extra Questions

Here you will get polynomials Class 10 Extra Questions Mathematics, which are based on NCERT books and follow the new CBSE Exam Pattern.

1. Using the polynomial x2 + 3x + p, find the value of “p” if one of the zeros is 2.
2. Find the quadratic polynomial where the zeros are 0, √5.
3. If two of its zeroes are *(5/3) and-*(5/3), then compute all other zeroes of 3×4 + 6×3 – 2×2 – 10x – 5.

### Pair of Linear Equations in Two Variables Class 10 Extra Questions

Here you will get a Pair of Linear Equations in two variables Class 10 Extra Questions Mathematics, which are based on NCERT books and follow the new CBSE Exam Pattern.

1. Half the circumference of a rectangular garden with a length that is 4 metres longer than its breadth is 36 metres. Determine the garden’s proportions.
2. For Rs.3800, the coach of a cricket team purchases seven bats and six balls. Later, she spends Rs.1750 for three bats and five balls. Determine the cost of each bat and ball.
3. Ritu can row 20 kilometres downstream in two hours and four kilometres upstream in two hours. Determine her rowing speed on calm water and the current speed.

### Quadratic Equations Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Quadratic equations.

1. Determine two consecutive positive numbers whose total of squares equals 365.
2. A rectangular field’s diagonal is 60 metres longer than its shorter side. Determine the field’s sides if the longer side is 30 metres longer than the shorter side.
3. The area of two squares added together is 468 m2. Find the sides of the two squares if the difference in their perimeters is 24 m.

### Arithmetic Progressions Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Arithmetic Progressions.

1. Which of the following AP terms is 21,18,15,…. is – 81? Is there any term that is 0? Give a rationale for your response.
2. How many multiples of four are there between 10 and 250?
3. Ramkali set aside Rs 5 in the first week of the year, then raised her weekly savings by Rs 1.75. Find n if her weekly savings increase to Rs 20.75 in the nth week.

### Triangles Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Triangles.

1. A 6 m vertical pole creates a shadow 4 m long on the ground, whereas a tower produces a shadow 28 m long. Determine the tower’s height.
2. Prove that two comparable triangles have the same area if their areas are equal.
3. Prove that if a line is drawn parallel to one side of a triangle and intersects the other two sides in distinct spots, the other two sides are split in the same ratio.

### Coordinate Geometry Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Coordinate Geometry.

1. Determine the position of the triangle produced by linking the midpoints of the triangle’s sides whose vertices are (0, –1), (2, 1), and (3, 1). (0, 3). Determine the area-to-area ratio of this area to the area-to-area ratio of the provided triangle.
2. What sort of triangle is produced by the coordinates A (–5, 6), B (–4, –2), and C? (7, 5).
3. Determine the ratio by which the line x – 3y = 0 splits the line segment connecting the points (-2, -5). (6, 3). Determine the coordinates of the junction.

### Introduction to Trigonometry Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Introduction to Trigonometry.

1. In terms of trigonometric ratios of angles between 0° and 45°, express cot 85° + cos 75°.
2. Determine the value of sin 45°-cos 45°.
3. If tan A = 1 in a right triangle ABC with a right angle at B, then 2 sin A cos A = 1.

### Some Applications of Trigonometry Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Some applications of Trigonometry.

1. When the Sun is at 30° height, the shadow of a tower standing on level ground is 40 m longer than when it is at 60° altitude. Determine the tower’s height.
2. On either side of the 80-meter-wide road, two poles of equal height stand opposite each other. The angles of elevation of the tops of the poles are 60° and 30°, respectively, from a point on the route between them. Determine the height of the poles and the spacing between the poles.

### Circles Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Circles.

1. What is the maximum number of tangents that may be traced from an exterior point to a circle?
2. The length of the tangent to a circle from a point Q is 24 cm, and Q’s distance from the centre is 25 cm. Determine the circle’s radius.
3. Demonstrate that the tangents drawn at the extremities of a circle’s diameter are parallel.

### Constructions Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Constructions.

1. Draw a 7-cm-long line segment. Find a point P on it that divides it in the 3:5 ratio.
2. Construct a triangle with sides of 5 cm, 6 cm, and 7 cm, followed by another triangle with sides that are 7/5 of the previous triangle’s equivalent sides.
3. With the assistance of a bangle, draw a circle. Choose a place on the outskirts of the circle. Create the tangents from this point to the circle.

### Areas Related to Circles Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Areas related to circles.

1. Determine the area of a 60-degree sector. The radius of the circle is 6 cm.
2. A square is encircled by a circle. Determine the area ratio of the circle and square.
3. Determine the perimeter of an equilateral triangle if it encircles a circle with an area of 154 cm2.

### Surface Areas and Volumes Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Surface Areas and Volumes.

1. Two cones have heights in the 1:3 ratio and radii in the 3:1 ratio. What is the volume ratio between them?
2. A cubical ice-cream brick with an edge of 22 cm is to be divided among some youngsters by filling ice-cream cones with a radius of 2 cm and a height of 7 cm all the way to the brim. How many kids will get ice cream cones?
3. Determine the number of solid spheres with diameters of 6 cm that can be formed by melting a solid metal cylinder with dimensions of 45 cm in height and 4 cm in diameter.

### Statistics Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Statistics.

1. Determine the average of the first ten natural integers.
2. When the value of 20 observations was checked, it was discovered that 125 was incorrectly reported as 25 when computing the mean, resulting in a mean of 60. Determine the proper mean.
3. If the mean of four numbers, 2,6,7, and a, is 15, then the mean of the other five numbers, 6, 18, 1, a, and b, is 50. What is the numerical value of b?

### Probability Class 10 Extra Questions

As per the latest NCERT curriculum recommended by CBSE, here is a collection of Extra Questions for Class 10 Mathematics Chapter Probability.

1. A coin is flipped twice. Determine the likelihood of receiving at least one head.
2. The numbers on two dice are 1, 2, 3, 4, 5, 6, and 1, 1, 2, 2, 3, 3, respectively. They are hurled, and the aggregate of their numbers is recorded. Determine the likelihood of obtaining each sum from 2 to 9 independently.
3. 12 faulty pens are inadvertently mixed along with 132 good pens. It is impossible to identify whether or not a pen is faulty simply by looking at it. From this collection, one pen is chosen at random. Determine the likelihood that the pen will be pulled out.

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