The Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) Board was established in 1921 in Prayagraj (Allahabad). It started its operations in 1923, and the first examination for this board was held that year. It is the world’s largest examination body to date.
Exam Pattern of UP Board Maths Class 10
For the theory exam, there shall be –
● 6 MCQs, each of 1 mark
● Four very short questions, each of 1 mark
● Eight short answer questions, each of 2 marks
● Eight long answer questions, each of 4 marks
● Two very long answer questions, each of 6 marks
ACADEMIC YEAR
This article details the 10th standard Maths examination of the UPMSP board for the academic year 2021 – 2022.
UP Board Maths Class 10 Marks Distribution
There are 70 marks allotted to the theory exam and 30 marks allotted to the practical exam. The time limit for the theory exam is 3 hours.
Theory exam marks break-up:
Number System – 5 marks
Algebra – 18 marks
Coordinate Geometry – 5 marks
Geometry – 12 marks
Trigonometry – 10 marks
Mensuration – 10 marks
Statistics and Probability – 10 marks
THEORY SYLLABUS OF UP BOARD CLASS 10
The Maths syllabus comprises seven units which hold a total of 70 marks.
UNIT
NAME OF UNIT
TOPICS
1
Number Systems
· Euclid division algorithm · Fundamental theorem of arithmetic with example · Verification of irrational numbers · Representation of rational numbers in terms of consecutive non-recurring decimals
2
Algebra
· Polynomial numbers – polynomial numbers, relation of coefficients and zeroes of quadratic polynomials, statement of division algorithm for polynomials with real coefficients and general questions on it · Pair of linear equations with two variables – pair of linear equations in two variables, solution of linear equations by graphical method, algebraic method of solving a linear equation – replacement method, deletion method and cross multiplication method, reversible equations in pair of linear equations of two variables · Quadratic Equation – standard quadratic equation a+bx+c=0, (a ≠0), solve the quadratic equation by making it a perfect square by the quadratic formulas, relationship between discriminant of quadratic equation and the nature of its roots, day-to-day use of quadratic equations and questions based on them · Arithmetic Progression – derivation of nth series of arithmetic progression and sum of its first n terms, use of A.P. in solving problems related to real life
3
Co-ordinate Geometry
· Concept of co-ordinate geometry · Graphs of linear equations · Distance formula · Section formula · Area of a triangle
4
Geometry
· Triangles – definition and examples of congruent triangles: – a line drawn parallel to one side of a triangle divides the remaining two sides in equal proportions – the line dividing two sides of a triangle in equal proportions is parallel to the third side – triangles are congruent if a pair of corresponding sides in two triangles is proportional, and the angles subtended is equal – triangles are congruent if the pair of adjacent angles is equal, and the adjacent sides are proportional – triangles are congruent if one angle of one triangle is equal to the corresponding angle of the other triangle and their corresponding sides are proportional – if a perpendicular is placed on the hypotenuse from the vertex of the right triangle, then the triangles on either side of the perpendicular line are mutual and identical to the original triangle – the ratio of area of congruent triangles is proportional to the squares of the corresponding sides – in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides – in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side, is a right angle · Circles – Tangent line and tangent point of Circle – the tangent line of the circle will be perpendicular to the radius passing through the tangent point – two tangents drawn from an external point are equal in length · Construction – divide the given line segment in the given ratio (internal) – drawing a tangent from a point given outside the circle – construction of a triangle congruent to a given triangle
5
Trigonometry
· Introduction to trigonometry – trigonometric ratios of acute angles of right triangle – trigonometric ratios of 0o and 90o – trigonometric ratio values (30o, 45o, 60o, 0o and 90o) and the relationships between them · Trigonometric Identities – establishing trigonometric identities and its application (sin2Ɵ + cos2Ɵ = 1) – trigonometric ratios of complementary angles · Height & Distance – elevation angle – depression angle – basic questions on height and distance – elevation and depression angle should only be 30o, 45o and 60o
6
Mensuration
· Area of Circle – area of circle – sector of circle and area of segment – area of the combination of the above plane figures (questions will be for 60o, 90o and 120o angles only) · Surface area and Volume – surface area and volume of the plane shapes connected by any two of the following: cube, cuboid, sphere, hemisphere, ellipse, cylinder, cone and tapered cone – questions related to conversion of one kind of solid shape into another and other similar questions
7
Statistics & Probability
· Statistics – mean, median and mode of classified data – cumulative frequency graph · Probability – theoretical definition of probability – questions based on single event
UNIT 1 – NUMBER SYSTEM (5 marks)
UNIT 2 – ALGEBRA (18 marks)
UNIT 3 – COORDINATE GEOMETRY (5 marks)
UNIT 4 – GEOMETRY (12 marks)
UNIT 5 – TRIGONOMETRY (12 marks)
UNIT 6 – MENSURATION (8 marks)
UNIT 7 – STATISTICS & PROBABILITY (10 marks)
PRACTICAL SYLLABUS OF UP BOARD CLASS 10
● Internal Assessment (15 Marks) – Questions should also get asked from the book “Bharat ka paramparagat Ganit Gyan” for Class 10.
● Project Work (15 Marks) – Students need to prepare any two projects from the following topics mentioned below:
1. Verification of Pythagoras Theorem by constructing triangles and the squares on a cardboard or chart paper
2. Use of statistics in demography
3. To study the role of the different geometrical shapes in architecture and construction
4. Knowledge of sign of trigonometric ratio through charts/ expressing through the diagram in the corresponding ratio of triangles the trigonometric ratio of angles, complementary angles, etc.
5. Any one of North Medieval Mathematician’s (Ramanujan, Narayan Pandit, etc.) life and their contributions in Mathematics
6. Two different cylinders by taking two papers of 24 × 42 cm size and turning them by its length and width direction and calculate whose curved surface and volume will be more significant or maximum
7. To study the different direct and indirect taxes imposed by the Government
8. Functional analysis of the statement that “Angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.”
9. Making of Sextant (for measuring distance) and its use
10. Utility of Mathematical Principles in Drawing
11. Give the details of different steps for granting a loan from the Bank to buy a car or a house.
12. Compulsory – Anyone project from the following three parts of the recommended book “Bharat ka Paramparagat Ganit Gyan” – Class 10th. Part a. Bright tradition of Mathematics in India. Part b. Traditional methods of calculation. Part c. Renowned Mathematicians of India.
FAQS OF UP BOARD CLASS 10
When will the half-yearly exams for the board students be held?
The half-yearly exams for the students of 10th and 12th grades will be in November 2021.
When shall the Pre-Boards be held?
The Pre-Boards shall be in the month of January, from the 24th to the 31st.
When will the final board exams be held?
The Uttar Pradesh Madhyamik Shiksha Parishad shall be conducting the 10th Standard Maths Examination 2021- 22 in the months of February and March 2022.
Will there be additional questions from outside the syllabus?
All the questions in the exam shall be from within the syllabus only.
What about the practical exam?
It shall get marked by the school authorities and shall be an internal assessment.
