Cbse class 7 maths textbook
[PDF File] Handling - NCERT
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SOLUTION. (i) Arranging the ages in ascending order, we get: 23, 26, 28, 32, 33, 35, 38, 40, 41, 54 We find that the age of the oldest teacher is 54 years and the age of the youngest teacher is 23 years. (ii) Range of the ages of the teachers = (54 – 23) years = 31 years. (iii) Mean age of the teachers.
[PDF File] Comparing Quantities - NCERT
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We know, ratio means comparing two quantities. A basket has two types of fruits, say, 20 apples and 5 oranges. Then, the ratio of the number of oranges to the number of apples = 5 : 20. 5 1. The comparison can be done by using fractions as, =. 20 4. 1. The number of oranges are. th the number of apples.
[PDF File] Lines and Angles Chapter 5 - NCERT
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Find the measures of the angles made by the intersecting lines at the vertices of an equilateral triangle. 3. Draw any rectangle and find the measures of angles at the four vertices made by. several. Fig 5.11. Fig 5.12. In Fig 5.12 the line p is not a transversal, although it cuts two lines l and m.
[PDF File] Congruence of Chapter 7
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3. Biscuits in the same packet [Fig 7.2 (iii)]. 4. Toys made of the same mould. [Fig 7.2(iv)] (i) (ii) (iii) (iv) Fig 7.2. The relation of two objects being congruent is called congruence. For the present, we will deal with plane figures only, although congruence is a general idea applicable to three-dimensional shapes also.
[PDF File] Mensuration - NCERT
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Now, perimeter of the rectangular park = 2 × (length + breadth)= 2 × (50 m + 25 m) = 2 × 75 m = 150 m So, the distance covered by the athlete in one round is 150 m. Therefore, distance covered in 10 rounds = 10 × 150 m = 1500m The total distance covered by the athlete is 1500 m. Example 3 : Find the perimeter of a rectangle whose length and ...
[PDF File] LINES AND ANGLES - NCERT
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6.1 Introduction. In Chapter 5, you have studied that a minimum of two points are required to draw a line. You have also studied some axioms and, with the help of these axioms, you proved some other statements. In this chapter, you will study the properties of the angles formed when two lines intersect each other, and also the properties of the ...
[PDF File] Comparing Quantities Chapter 7 - NCERT
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7.2.4 Increase or Decrease as Per Cent. There are times when we need to know the increase or decrease in a certain quantity as percentage. For example, if the population of a state increased from 5,50,000 to 6,05,000. Then the increase in population can be understood better if we say, the population increased by 10 %.
[PDF File] Direct and Indirect Proportions - NCERT
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Hence, we can say that scale of a map is based on the concept of direct proportion. Example 5: The scale of a map is given as 1:30000000. Two cities are 4 cm apart on the map. Find the actual distance between them. Solution: Let the map distance be x cm and actual distance be y cm, then 1:30000000 = x : y. 1 x or =.
[PDF File] VII Maths - English - Cover - Telangana
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VII class S. No. Contents Syllabus to be Page No covered during 1. Integers June 1 - 25 2. Fractions, Decimals and July 26 - 60 Rational Numbers 3. Simple Equations July 61- 70 4. Lines and Angles August 71- 89 5. Triangle and Its Properties August 90- 111 6. Ratio - Applications September 112- 143 7. Data Handling September 144 - 164 8.
[PDF File] 2.1 Introduction - NCERT
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Solution: We have. 2x = x + 2 + 3 or or. 2x = x + 5 2x – x = x + 5 – x (subtracting x from both sides) or x = 5 (solution) Here we subtracted from both sides of the equation, not a number (constant), but a term involving the variable. We can do this as variables are also numbers.
[PDF File] Data Handling Chapter 3 - NCERT
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7 16 and so on. 1. Find the mean of your sleeping hours during one week. 2. Find atleast 5 numbers between 1 2 and 1 3. 3.2.1 Range The d ifference between the highest and the lowest observation gives us an idea of the spread of the observations. This can be found by subtracting the lowest observation from the highest observation.
[PDF File] INTRODUCTION TO TRIGONOMETRY not to be republished …
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Example 11 : Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°. Solution : cot 85° + cos 75° = cot (90° – 5°) + cos (90° – 15°) = tan 5° + sin 15°. EXERCISE 8.3. Evaluate : sin 18 ° tan 26 °. cos 72 ° (ii) cot 64 ° (iii) cos 48° – sin 42° (iv) cosec 31° – sec 59°. Show that :
[PDF File] Perimeter and Area Chapter 9 - NCERT
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consider the following parallelograms with sides 7 cm and 5 cm (Fig 9.4). Fig 9.4 Find the perimeter and area of each of these parallelograms. Analyse your results. You will find that these parallelograms have dif ferent areas but equal perimeters. To find the area of a parallelogram, you need to know only the base and the
[PDF File] QUADRATIC EQUATIONS 4 - NCERT
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A quadratic equation in the variable x is an equation of the form ax2 + bx + c = 0, where a, b, c are real numbers, a 0. For example, 2x2 + x – 300 = 0 is a quadratic equation. ≠ Similarly, 2x2 – 3x + 1 = 0, 4x – 3x2 + 2 = 0 and 1 – x2 + 300 = 0 are also quadratic equations. In fact, any equation of the form p(x) = 0, where p(x) is a ...
[PDF File] Algebraic Expressions and Identities - NCERT
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The expression 7xy – 5x has two terms 7xy and –5x. The term 7xy is a product of factors 7, x and y. The numerical factor of a term is called its numerical coefficient or simply coefficient. The coefficient in the term 7xy is 7 and the coefficient in the term –5x is –5. 9.3 Monomials, Binomials and Polynomials
[PDF File] Visualising Solid Chapter 15 - NCERT
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EXERCISE 15.2. Use isometric dot paper and make an isometric sketch for each one of the given shapes: Fig 15.15 (iv) The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid. Three cubes each with 2 cm edge are placed side by side to form a cuboid.
[PDF File] Rational Numbers Chapter 8 - NCERT
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The numbers , ,3 etc. are rational numbers. 7 8. 2. All integers and fractions are rational numbers. 3. If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given − 3 = = − 3 × 2 − 6 − 6 rational number.
[PDF File] Ratio and Proportion Chapter 12 - NCERT
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12.1 Introduction. In our daily life, many a times we compare two quantities of the same type. For example, Avnee and Shari collected flowers for scrap notebook. Avnee collected 30 flowers and Shari collected 45 flowers. So, we may say that Shari collected 45 – 30 = 15 flowers more than Avnee.
[PDF File] Integers - NCERT
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The correct statement is: When two negative integers are added we get a negative integer. For example, (a) (– 56) + (– 73) = – 129 (b) (– 113) + (– 82) = – 195, etc. Construct five more examples on your own to verify this statement. Incorrect, since – 9 + 16 = 7, which is not a negative integer.
[PDF File] Squares and Square Roots - NCERT
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If 3 gets a pair then the number will become perfect square. So, we multiply 2352 by 3 to get, 2352 × 3 = 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 Now each prime factor is in a pair. Therefore, 2352 × 3 = 7056 is a perfect square. Thus the required smallest multiple of 2352 is 7056 which is a perfect square.
[PDF File] FractionsFractionsFractions - NCERT
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Farida said that we have learnt that a fraction is a number representing part of a whole. The whole may be a single object or a group of objects. Subhash observed that the parts have to be equal. 7.2 A Fraction. Let us recapitulate the discussion. A fraction means a part of a group or of a region. 5.
[PDF File] Algebraic Chapter 12 - NCERT
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12.1 INTRODUCTION. We have already come across simple algebraic expressions like x + 3, y – 5, 4x + 5, 10y – 5 and so on. In Class VI, we have seen how these expressions are useful in formulating puzzles and problems. We have also seen examples of several expressions in the chapter on simple equations. Expressions are a central concept in ...
[PDF File] D:TextbooksRationalised Textbooks 2022-230962 …
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For example, in triangle ABC, denoted as ∆ ABC (see Fig. 7.1); AB, BC, CA are the three sides, ∠ A, ∠ B, ∠ C are the three angles and A, B, C are three vertices. In Chapter 6, you have also studied some properties. of triangles. In this chapter, you will study in details about the congruence of triangles, rules of congruence, some more ...
[PDF File] Cube and Cube Roots - NCERT
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In the factorisation 5 appears only one time. If we divide the number by 5, then the prime factorisation of the quotient will not contain 5. So, 53240 ÷ 5 = 2 × 2 × 2 × 11 × 11 × 11. Hence the smallest number by which 53240 should be divided to make it a perfect cube is 5. The perfect cube in that case is = 10648.
[PDF File] Exponents and Powers Chapter 11 - NCERT
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In this Chapter, we shall learn about exponents and also learn how to use them. 11.2 EXPONENTS. We can write large numbers in a shorter form using exponents. Observe 10, 000 = 10 × 10 × 10 × 10 = 104 The short notation 104 stands for the product 10×10×10×10. Here ‘10’ is called the.
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