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Practice the questions given in the worksheet on methods of hcf and lcm. We know full form of hcf is known as highest common factor and lcm is known as least common multiple.
Let us consider some of the word problems on l.c.m. (least common multiple). 1. Find the lowest number which is exactly divisible by 18 and 24. We find the L.C.M. of 18 and 24 to get the
Let us consider some of the word problems on H.C.F. (highest common factor). 1. Two wires are 12 m and 16 m long. The wires are to be cut into pieces of equal length.
We will discuss here about the method of l.c.m. (least common multiple). Let us consider the numbers 8, 12 and 16. Multiples of 8 are → 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ......
Practice the questions given in the worksheet on l.c.m. to find the least common multiple by listing their multiples, by common prime factors and by division method.
We will discuss here about the properties of l.c.m. (least common multiple). 1. The L.C.M. of two or more numbers cannot be less than any one of them. For example, the L.C.M. of 3, 8 and 12 is 24
We will discuss here about the properties of HCF (highest common factor). (i) The H.C.F. of two or more numbers cannot be greater than any one of them. For example, the H.C.F.
Practice the questions given in the worksheet on hcf (highest common factor) by factorisation method, prime factorisation method and division method.
We will discuss here about the method of h.c.f. (highest common factor). Let us consider two numbers 16 and 24. Factor of 16 are → 1, 2, 4, 8, 16 1 × 16, 2 × 8, 4 × 4 Factor of 24 are → 1, 2, 3,
Practice the questions given in the worksheet on methods of prime factorization. 1. Each of the following is the prime factorization of a certain number. Find the number. (i) 2 × 5 × 7
Practice the questions given in the worksheet on factors and multiples. 1. Find out the even numbers. 27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358 2. Find out the odd numbers.
In prime factorization, we factorise the numbers into prime numbers, called prime factors. There are two methods of prime factorization: 1. Division Method 2. Factor Tree Method
For finding the prime numbers we write all the whole numbers from 1 to 100 in a 10-square table and then follow the following steps. Step 1: 1 is a unique number, so we do not consider it.
What is prime number? A whole number having only 2 factors is called the prime number. The two factors of a prime number are 1 and the number itself.
What is composite number? A whole number having at least 3 factors is called the composite number. Consider the numbers 4, 6 and 15.
Practice the questions given in the worksheet on exact divisibility by 2, 3, 4, 5, 6, 7, 8, 9, and 10.I. Solve the following: 1. Which of the following numbers are exactly divisible by 2?
We will discuss here about the concept of exact divisibility. When we divide 21 by 3, it leaves no remainder. We say that 21 is exactly divisible by 3. Again, it we divide 21 by 4, it leaves
Practice the questions given in the worksheet on properties of triangle. 1. Fill in the banks: (i) Triangle is formed by joining three __ points. (ii) A point where two sides of a triangle
Practice the questions given in the worksheet on pictograph and bar graph. 1. Make a pictograph to show the mode of transport used by children to come to school. Use a ‘car’ to represent 50 students.
In the worksheet on triangle we will solve 12 different types of questions. 1. Take three non - collinear points L, M, N. Join LM, MN and NL. What figure do you get?
Worksheet on inverse variation word problems there are various types of questions to practice. Students can recall how to solve word problems on inverse variation and then try to solve the worksheet
We will solve some of the examples of properties of triangle. In the triangle, given write the names of its three sides, three angles and three vertices. Solution: Three sides of ∆PQR are
Triangle is one of the basic shape in geometry. We know that we can mark many points on any given line. Three or more points which lie on the same line are called collinear points.
How to construct bar graph on graph paper? In a graph paper, draw two lines OX and OY perpendicular to each other. Ox and OY are the horizontal axis and vertical axis respectively. On OY, put 6 marks
We learn how to represent the data on the bar graph. Data can be represented by bars (like rectangle) whose lengths represent numerical values. One can use horizontal or vertical bars.
To make drawing graphs easier, we use a graph paper. It usually has lines on every millimetre, both horizontally and vertically. The horizontal and vertical lines are perpendicular to each
Pictograph: Any information represented through pictures is called pictograph. Collection and Recording of Data: There are different ways of collecting and recording of information (data).
In worksheet on volume we will solve 10 different types of question in volume. 1. Find the volume of a cube of side 14 cm. 2. Find the volume of a cube of side 17 mm.
Practice the questions given in the worksheet on representation of tabular data. We know when a large number of data is given in a tabular forms, it is easier to get the information from it.
We will discuss here about the advantages of tabular data. When a larger number of data is given in a tabular form, it is easier to get information from it. The heights of the women of a school
We will discuss here about the representation of tabular data and their format. When Mrs. Singh, the new maths teacher came to the class, she wanted to know how every body had done in the last
We will discuss here about the properties of triangle. Property 1: Relation between the measures of three angles of triangle: Draw three triangles on your not book. Name them as ∆PQR, ∆ABC and ∆LMN.
Types of angles are discussed here in this lesson. We will learn different types of angles. 1. Acute Angle: An angle whose measure is less than 90° is called an acute angle.
Angle is discussed here in details. In our daily life we come across different objects having two arms hinged at a point. For example, hands of a clock, two arms of a divider, and two sharp edges of
Pairs of angles are discussed here in this lesson. 1. Complementary Angles: Two angles whose sum is 90° are called complementary angles and one is called the complement of the other.
Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. Plane figures like triangle, quadrilaterals and circles do not
Geometry is one of the oldest and main branches of mathematics. Measurement of the earth is the exact meaning of the word ‘Geometry’. The geometry began when men felt the need to measure their lands
We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:
Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional
Like the measurement of area, the measurement of volume, also requires a unit. In the case of area, the units are 1 sq cm, 1 sq m etc. Which are the areas of squares the sides of which
A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it.
In word problems on area of a square we will find the area whose side is given. For finding the area of a given square, we should make sure that the sides are in the same unit of length. If they
In word problems on area of a rectangle we will find the area whose length and breadth are given. For finding the area of a given rectangle, we should make sure that the sides (length or breadth)
In area of a square we will learn how to find the area by counting squares. To find the area of a region of a closed plane figure, we draw the figure on a centimeter squared paper and then count
We will practice the questions given in the worksheet on area of regular figures. We know the formula for finding the area of regular figures. Area of a square = side × side Area of the rectangle
We will practice the questions given in the worksheet on area of a square and rectangle. We know the amount of surface that a plane figure covers is called its area. 1. Find the area of the square
Areas of irregular figures can be determined by dividing the figure into squares and rectangles. 1. Find the area of the given figure:
Let’s discuss how to find length or breadth when area of a rectangle is given. When we need to find length of a rectangle we need to divide area by breadth. Length of a rectangle = Area ÷ breadth
To find area of a rectangle when length and breadth are of different units we need to convert and write them in same units and then solve.