# 10TH MATHS FULL SCORE BOOK

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Out content writing team is updating solution everyday. So, keep visiting our website to get solution for all your exercise problems. After having gone through the stuff given above, we hope that the students would have understood, " Tamil Nadu State Board 10th Maths Solution". Variables and constants. Writing and evaluating expressions. Solving linear equations using elimination method.

Solving linear equations using substitution method. Solving linear equations using cross multiplication method. Solving one step equations. Solving quadratic equations by factoring. Solving quadratic equations by quadratic formula. Solving quadratic equations by completing square. Nature of the roots of a quadratic equations.

Sum and product of the roots of a quadratic equations. Algebraic identities. Solving absolute value equations. Solving Absolute value inequalities.

Graphing absolute value equations. Combining like terms. Square root of polynomials.

Remainder theorem. Synthetic division. Logarithmic problems. Simplifying radical expression. Comparing surds. Simplifying logarithmic expressions. Negative exponents rules. Scientific notations. Exponents and power. Quantitative aptitude. Multiplication tricks. Test - I. Test - II. Horizontal translation.

Vertical translation. Reflection through x -axis. Reflection through y -axis. Horizontal expansion and compression. Rotation transformation. Geometry transformation. Translation transformation.

Dilation transformation matrix. Transformations using matrices. Converting customary units worksheet. Converting metric units worksheet. Decimal representation worksheets. Double facts worksheets. Missing addend worksheets. Mensuration worksheets. Geometry worksheets. Customary units worksheet. Metric units worksheet. Complementary and supplementary worksheet. Complementary and supplementary word problems worksheet. Area and perimeter worksheets. Sum of the angles in a triangle is degree worksheet.

Types of angles worksheet. Properties of parallelogram worksheet. Proving triangle congruence worksheet. Special line segments in triangles worksheet.

Proving trigonometric identities worksheet. Properties of triangle worksheet. Estimating percent worksheets. Quadratic equations word problems worksheet. Integers and absolute value worksheets. Decimal place value worksheets. Distributive property of multiplication worksheet - I. Distributive property of multiplication worksheet - II. Writing and evaluating expressions worksheet. Nature of the roots of a quadratic equation worksheets. Determine if the relationship is proportional worksheet.

Trigonometric ratio table. Problems on trigonometric ratios. Trigonometric ratios of some specific angles. ASTC formula. All silver tea cups. All students take calculus. All sin tan cos rule. Trigonometric ratios of some negative angles. Trigonometric ratios of 90 degree minus theta. Trigonometric ratios of 90 degree plus theta. Trigonometric ratios of degree plus theta. Trigonometric ratios of degree minus theta.

Trigonometric ratios of angles greater than or equal to degree. Trigonometric ratios of complementary angles. Trigonometric ratios of supplementary angles. Trigonometric identities. Problems on trigonometric identities.

Trigonometry heights and distances. Domain and range of trigonometric functions. Solving word problems in trigonometry. Pythagorean theorem. Mensuration formulas.

Area and perimeter. Types of angles. Types of triangles. Properties of triangle. Sum of the angle in a triangle is degree. Properties of parallelogram. Construction of triangles - I. Construction of triangles - II. Construction of triangles - III. Construction of angles - I. Construction of angles - II. Construction angle bisector.

Construction of perpendicular. Construction of perpendicular bisector. Geometry dictionary. Find the equation of the perpendicular bisector of the straight line segment joining the points 3, 4 and - 1, 2. PD QC From the top and foot of a 40 m high tower, the angles of elevation of the top of a lighthouse are found to be 30cand 60c respectively.

Find the height of the lighthouse. Also find the distance of the top of the lighthouse from the foot of the tower. If the total surface area of a solid right circular cylinder is sq. A tent is in the shape of a right circular cylinder surmounted by a cone.

The total height and the diameter of the base are If the height of the cylindrical portion is 3 m, find the total surface area of the tent. Find the standard deviation of the numbers 62, 58, 53, 50, 63, 52, A die is thrown twice. Find the probability that at least one of the two throws comes up with the number 5 use addition theorem.

Find the 10th term. OR b Find the area of the quadrilateral whose vertices are —1, 6 , —3, —9 , 5, —8 and 3, 9 Section — D Note: Model Question Paper - 3 Time: Which one of the following is not true? The 17th term of the A.

P 19, 14, 9, The surface areas of two spheres are in the ratio of 9: Then their volumes are in the ratio A The probabilities of three mutually exclusive events A, B and C are given by 1 , 1 and 5.

In case of a function, write down its range. Find the quotient and remainder using synthetic division when. Prove that c m and e o are multiplicative inverses to each other. AB and CD are two chords of a circle which intersect each other externally at P.

The angle of elevation of the top of a tower as seen by an observer is 30c. The observer is at a distance of 30 3 m from the tower. If the eye level of the observer is 1. A solid right circular cylinder has raidus 7 cm and height 20cm. Find total surface area. The outer and the inner radii of a hollow sphere are 12 cm and 10 cm. Find its volume. Find the standard deviation of the first 10 natural numbers.

If the product of three consecutive terms in G. Find the total area of 14 squares whose sides are 11 cm, 12 cm, g, 24 cm, respectively. In what ratio is the line joining the points - 5, 1 and 2 , 3 divided by the y-axis? Also, find the point of intersection. The image of a tree on the film of a camera is of length 35 mm, the distance from the lens to the film is 42 mm and the distance from the lens to the tree is 6 m.

How tall is the portion of the tree being photographed? Radius and slant height of a solid right circular cone are in the ratio 3: If the curved surface area is 60r sq. The mean and the standard deviation of a group of 20 items was found to be 40 and 15 respectively.

While checking it was found that an item 43 was wrongly written as Calculate the correct mean and standard deviation. Two dice are rolled and the product of the outcomes numbers are found. What is the probability that the product so found is a prime number? Section — D Note: Also, measure the lengths of the tangents.

## SCORE BOOK - 10 TH STD - Padasalai No.1 Educational Website

The following table gives the speed of his travel and the corresponding time he took to cover the distance. Model Question Paper - 4 Time: If a, b and c are the three consecutive terms of a G. The ratios of the respective heights and the respective radii of two cylinders are 1: Then their respective volumes are in the ratio A 4: Standard deviation of a collection of data is 2 2.

If each value is multiplied by 3, then the standard deviation of the new data is A 12 B 4 2 C 6 2 D 9 2 Find its range. Find the zeros of the quadratic polynomial 6x2 - 3 - 7x and verify the basic relationships between the zeros and the coefficients. Find the slope of AB and the slope of BC If the area of the TABC is 12 sq. A pendulum of length 40 cm subtends 60c at the vertex in one full oscillation.

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What will be the shortest distance between the initial position and the final position of the bob? The radii of two circular ends of a frustum shaped bucket are 15 cm and 8 cm. If its depth is 63 cm, find the capacity of the bucket in litres.

The weight in kg of 13 students in a class are Find the range and coefficient of range. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is thrice that of drawing a red ball, then find the number of blue balls in the bag. Represent f by 3 i an arrow diagram ii a set of ordered pairs iii a table iv a graph.

Find the sum of first 20 terms of the arithmetic series in which 3rd term is 7 and 7th term is 2 more than three times its 3rd term. The first term of a geometric series is and the fourth term is Find the common ratio and the sum of the first 14 terms.

Find the equation of the median through the vertex A. State and prove the converse of Thales Theorem. From the top of a tower of height 60 m, the angles of depression of the top and the bottom of a building are observed to be 30c and 60crespectively.

Find the height of the building. The total surface area of a solid right circular cylinder is cm2. Its curved surface area is two thirds of the total surface area. Find the radius and height of the cylinder.

A circus tent is to be erected in the form of a cone surmounted on a cylinder. The total height of the tent is 49 m. Diameter of the base is 42 m and height of the cylinder is 21 m.

Find the standard deviation of the following distribution. Two dice are rolled simultaneously. Find the probability that the sum of the numbers on the faces is neither divisible by 3 nor by 4.

From an external point 7 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

## SCORE BOOK - 10 TH STD

Also, measure the length of the altitude from A. Write the distance-time formula and draw the graph of it. Hence, find the distance travelled in 3 hours. Model Question Paper - 5 Time: If the n term of an A.

## CBSE Class 10th Board Exams 2019: Tips to score high marks in Mathematics

Mid point of the line segment joining the points 1, —1 and —5, 3 is A —2, 1 B 2, —1 C —2, —1 D —1, —2 9. If the radius of a sphere is half of the radius of another sphere, then their respective volumes are in the ratio A 1: A fair die is thrown once. A function f: Solve the system of equations by elimination method. Find the product of the matrices, if exists, c m c m 5 1 2 7 Matrix A shows the weight of four boys and four girls in kg at the beginning of a diet programme to lose weight.

Matrix B shows the corresponding weights after the diet 35 40 28 45 Boys 32 35 27 41 Boys programme.

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Find the point which divides the line segment joining the points 3 , 5 and 8 , 10 internally in the ratio 2: A ramp for unloading a moving truck, has an angle of elevation of 30c. If the top of the ramp is 0. The radii of two right circular cylinders are in the ratio of 3: Find the ratio of their curved surface areas. The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it.

Find the ratio of volumes of the balloon in the two cases. Find the range and the coefficient of range of 43, 24, 38, 56, 22, 39, An integer is chosen from the first twenty natural numbers.

What is the probability that it is a prime number? An advertising agency finds that, of its clients, use Television, use Radio and use Magazines. Draw Venn diagram to represent these data. Find i how many use only Radio? The ratio of the sums of first m and first n terms of an arithmetic series is m: Find the square root of the following: A car left 30 minutes later than the scheduled time.

Find its usual speed. Find the area of the quadrilateral formed by the points - 4, - 2 , - 3, - 5 , 3, - 2 and 2 , 3. Find the equations of the straight lines each passing through the point 6, - 2 and whose sum of the intercepts is 5.

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