SEE 2083 - Compulsory Mathematics ( C. Math) Syllabus :
Set: (Q.no. 1)
- Problem based on two sets
- Problem based on three sets
Compound Interest:(Q.no. 2)
- Yearly
- Half Yearly
- Quartely
- Year and Month
Growth and Depreciation: (Q.no. 3)
- Growth
- Depreciation
Money Exchange: (Q.no. 4)
- Buying Rates
- Selling Rates
- Chain Rules
- Devaluation
- Revaluation
Mensuration:(Q.no. 5, 6 & 7)
- Area and Volume of Square based pyramid and circular based cone.
- Combined solids : PP, CH, HC, CC
- Cost estimation
Algebra:(Q.no. 8, 9 & 10)
- Arithmetic and Geometric Sequence and Series
- Quadratic equation - Verbal problems - Based on Numbers and Ages
- Algebraic fraction
- Exponential equations
Geometry:(Q.no. 11, 12 & 13)
- Area of triangles and quadrilaterals - standing on the same base and between the same parallel line.
- Construction
- Circle - Central angle and inscribed angle, cyclic quadrilateral
Trigonometry:(Q.no. 14)
- Height and distance
- Angle of elevation
- Angle of depression
- Height and distance
- Angle of elevation
- Angle of depression
Statistics:(Q.no. 15)
- Mean
- Median
- Mode
- Quartiles
Probability:(Q.no. 16)
- Additive law and multiplicative law of probability
- Independent event and dependent event
- Tree diagram - without and with replacement
Important Definition
- C.Math || SEE || 2083
- Angle of elevation : If an observer looks up at the top of a building, tree, mountain, or tower, the angle formed between the horizontal and the line of sight is called the angle of elevation.
- Angle of depression : If an observer standing on the top of a building looks down at an object on the ground, the angle formed between the horizontal line and the line of sight is called the angle of depression.
- Mode : Mode is the value that appears most frequently in a set of data.
- Central angle : A central angle is an angle whose vertex is at the centre of the circle. Its sides are radii of the circle.
- Inscribed angle : An inscribed angle is an angle whose vertex lies on the circle. Its sides are chords of the circle.
- Cyclic quadrilateral : If all four vertices A, B, C, and D of a quadrilateral lie on a circle, then ABCD is called a cyclic quadrilateral.
- Chain rule in money exchange : The Chain Rule is a method used to convert money from one currency to another through one or more intermediate currencies.
- Arithmetic sequence : A list of numbers where you add or subtract the exact same value (called the common difference) to get the next number. For example : 3, 6,9,12 (adding 3).
- Arithmetic series : The total sum of the terms in an arithmetic sequence. For example : 3+6+9+12 = 30
- Geometric sequence : A list of numbers where you multiply or divide by the exact same value (called common ratio) to get the next number. For example : 3,6,12,24
- Geometric series : The total sum of the terms in a geometric sequence. For example : 3+6+12+24 = 45
- Mean = mean is a measure of central tendency that represents the average value of a set of data. (Mean = sum of all observations / number of all observations ) . For example: Find the mean of 4,6,8,10 then sum of all observations = 4+6+8+10 = 28 and number of observations = 4, Mean = 28/4 = 7 Ans.
- Mode = Mode is a measure of central tendency that represents the value occurring with the highest frequency in a data set. For example : Data : 2,4,4,5,6,7,4,8 then Mode = 4 because it occurs most often.
- Median = Median is the middle value of a data set when the values are arranged in ascending or descending order. (Median is a measure of central tendency that divides an ordered data set into two equal halves, with 50% of the observations below it and 50% above it.)
- Quartiles = Quartiles are the values that divide an ordered data set into four equal parts, with each part containing approximately 25% of the observations.
- Square-Based Prism = A square-based prism is a prism whose two opposite bases are squares and whose lateral faces are rectangles. Properties : 2 square bases, 4 rectangular faces, (6 faces-12 edges-8 vertices).
- Square-Based Pyramid = A square-based pyramid is a pyramid that has a square base and four triangular faces meeting at a common vertex (apex). Properties : 1 square bases, 4 rectangular faces, (5 faces- 8 edges- 5 vertices).
- Cylinder = A cylinder is a solid shape that has two equal, parallel circular bases joined by one curved surface. Properties: 2 circular bases, 1 curved surface, 2 circular edges, No vertices (corners)
- Cone = A cone is a solid shape with one circular base and a curved surface that meets at a single point called the apex. Properties: 1 circular base, 1 curved surface, 1 circular edge, 1 vertex (apex).
- Hemisphere = A hemisphere is half of a sphere, having one flat circular base and one curved surface. Properties: 1 circular base, 1 curved surface, 1 circular edge, No vertices (corners).
- Independent events = Independent events are events in which the occurrence of one event does not affect the probability of the other event occurring. For independent events P(A∩B)=P(A)×P(B), Example: When a coin is tossed and a die is rolled: Event A: Getting a head. Event B: Getting a 4 on the die. The result of the coin toss does not affect the die roll, so these are independent events.
- Dependent events = Dependent events are events in which the occurrence of one event affects the probability of the other event occurring. Example: A bag contains 5 red balls and 3 blue balls. Two balls are drawn without replacement. Event A: Drawing a red ball first. Event B: Drawing a red ball second. Since the first ball is not replaced, the probability of drawing a red ball the second time changes. Therefore, these are dependent events.
- Minimum probability = The minimum probability of an event is zero (0). Zero means the event is impossible and cannot occur. Example: The probability of rolling a 7 on a standard six-sided die is 0 because a die has only the numbers 1 to 6.
- Maximum probability = The maximum probability of an event is 1 . One means the event is certain and will always occur. Example : The probability of rolling a number less than 7 on a standard six-sided die is 1 because every possible outcome (1–6) is less than 7.
- Key Facts : The probability of any event always #satisfies: 0≤P(E)≤1 where: 0 = impossible event (minimum probability) and 1 = certain event (maximum probability).
See Also
Author : Er. Ram Babu Yadav
Last updated on : 2083/04/23
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