BRILLIANT PUBLIC SCHOOL , SITAMARHI

1 BRILLIANT PUBLIC SCHOOL , SITAMARHI . (Affiliated up to +2 level to , New Delhi). Affiliation No. - 330419. CBSE Board Level VII- I & II Maths Chapterwise Printable Worksheets with Solution Session : 2014-15. Office: Rajopatti, Dumra Road, SITAMARHI (Bihar), Pin-843301. Website: ; E-mail: , Mobile: 9431636758, 9931610902. Index Class- VII (Mathematics). 1. Chapter 1 Integers 001. 2. Chapter 2 Fractions and Decimals 011. 3. Chapter 3 Data Handling 021. 4. Chapter 4 Simple Equations 032. 5. Chapter 5 Lines and Angles 042. 6. Chapter 6 The Triangle and its Properties 052. 7. Chapter 7 Congruence of Triangles 062. 8. Chapter 8 Comparing Quantities 072. 9. Chapter 9 Rational Numbers 082. 10. Chapter 10 Practical Geometry 092. 11. Chapter 11 Perimeter and Area 097. 12. Chapter 12 Algebraic Expressions 110. 13. Chapter 13 Exponents and Powers 120. 14. Chapter 14 Symmetry 130. 15. Chapter 15 Visualizing Solid Shapes 140. Course Structure for Class-VII Maths Number System (50 hrs).

2 (i) Knowing our Numbers:Integers Multiplication and division of integers (through patterns). Division by zero is meaningless Properties of integers (including identities for addition & multiplication, commutative, associative, distributive) (through patterns). These would include examples from whole numbers as well. Involve expressing commutative and associative properties in a general form. Construction of counterexamples, including some by children. Counter examples like subtraction is not commutative. Word problems including integers (all operations). (ii) Fractions and rational numbers: Multiplication of fractions Fraction as an operator Reciprocal of a fraction Division of fractions Word problems involving mixed fractions Introduction to rational numbers (with representation on number line). Operations on rational numbers (all operations). Representation of rational number as a decimal. Word problems on rational numbers (all operations).

3 Multiplication and division of decimal fractions Conversion of units (length & mass). Word problems (including all operations). (iii) Powers: Exponents only natural numbers. Laws of exponents (through observing patterns to arrive at generalisation.). Algebra (20 hrs). ALGEBRAICEXPRESSIONS. Generate algebraic expressions (simple) involving one or two variables Identifying constants, coefficient, powers Like and unlike terms, degree of expressions , x2y etc. (exponent 3, number of variables ). Addition, subtraction of algebraic expressions (coefficients should be integers). Simple linear equations in one variable (in contextual problems) with two operations (avoid complicated coefficients). Ratio and Proportion (20 hrs). Ratio and proportion (revision). Unitary method continued, consolidation, general expression. Percentage- an introduction. Understanding percentage as a fraction with denominator 100. Converting fractions and decimals into percentage and vice-versa.

4 Application to profit and loss (single transaction only). Application to simple interest (time period in complete years). Geometry (60 hrs). (i)Understanding shapes: Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite) (verification and simple proof of vertically opposite angles). Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles). (ii)Properties of triangles: Angle sum property (with notions of proof & verification through paper folding, proofs using property of parallel lines, difference between proof and verification.). Exterior angle property Sum of two sides of a it's third side Pythagoras Theorem (Verification only). (iii)Symmetry Recalling reflection symmetry Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900,1200, 1800). Operation of rotation through 900 and 1800 of simple figures. Examples of figures with both rotation and reflection symmetry (both operations).

5 Examples of figures that have reflection and rotation symmetry and vice-versa (iv)Representing 3-D in 2-D: Drawing 3-D figures in 2-D showing hidden faces. Identification and counting of vertices, edges, faces, nets (for cubes cuboids, and cylinders, cones). Matching pictures with objects (Identifying names). Mapping the space around approximately through visual estimation. (v)Congruence Congruence through superposition (examples-blades, stamps, etc.). Extend congruence to simple geometrical shapes triangles, circles. Criteria of congruence (by verification) SSS, SAS, ASA, RHS. (vi)Construction (Using scale, protractor, compass). Construction of a line parallel to a given line from a point outside it. (Simple proof as remark with the reasoning of alternate angles). Construction of simple triangles. Like given three sides, given a side and two angles on it, given two sides and the angle between them. Mensuration (15 hrs). Revision of perimeter, Circumference of Circle Area Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, area between two rectangles and two concentric circles.

6 Data handling (15 hrs). i. Collection and organisation of data choosing the data to collect for a hypothesis testing. ii. Mean, median and mode of ungrouped data understanding what they represent. iii. Constructing bargraphs iv. Feel of probability using data through experiments. Notion of chance in events like tossing coins, dice etc. Tabulating and counting occurrences of 1 through 6 in a number of v. throws. Comparing the observation with that for a coin. Observing strings of throws, notion of randomness. CBSE Worksheet-01. CLASS VII Mathematics (Integers). Choose correct option in questions 1 to 5. 1. At Shimla temperature was 5 C on Monday and then it dropped by 2 C on Tuesday. What was the temperature of Shimla on Tuesday? a. 7 C b. 3 C. c. 3 C d. 7 C. 2. 6 (-15) = _____. a. 90 b. -90. c. -21 d. 21. 3. (-4) (-3) (-2) = _____. a. 24 b. 9. c. -24 d. -9. 4. ( 2) (3 + 5) = _____. a. -10 b. 10. c. 16 d. -16. 5. ( 12) ( 6) = _____. a. 2 b.

7 -2. c. 6 d. -6. Fill in the blanks: 6. On a number line when we add a _____ integer, we move to the right. 7. The additive inverse of any integer a is _____. 8. For any two integers a and b, a + b is an _____. 9. For any integer a, a 0 = 0 a = _____. 10. Find: a. ( 36) ( 4). b. ( 201) ( 3). 11. In a test (+5) marks are given for every correct answer and ( 2) marks are given for every incorrect answer. Radhika answered all the questions and scored 30 marks though she got 10 correct answers. 12. In a class test containing 15 questions, 4 marks are given for every correct answer and ( 2) marks are given for every incorrect answer. Gurpreet attempts all questions but only 9 of her answers are correct. What is her total score? 1. Answer key: 1. a 2. b 3. c 4. d 5. a 6. positive 7. a 8. integer 9. 0. 10. a. 9. b. 67. 11. 10. 12. Gurpreet's total score = 36 + ( 12) = 24. 2. CBSE Worksheet-02. CLASS VII Mathematics (Integers). Choose correct option in questions 1 to 5.

8 1. A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them? a. 6200 m b. 4800 m c. 4000 m d. 6000 m 2. 5 (-4) = _____. a. 20 b. -20. c. -9 d. 9. 3. (-5) (-4) (-3) = _____. a. 60 b. 12. c. -60 d. -12. 4. ( 4) [( 2) + 7] = _____. a. -1 b. 20. c. 1 d. -20. 5. ( 20) (5) =_____. a. -4 b. 4. c. 15 d. -15. Fill in the blanks: 6. On a number line when we add a _____ integer, we move to the left. 7. The additive inverse of any integer _____ is a. 8. For any two integers a and b, we can say a + b = _____. 9. For all integers a and b, a b is an _____. 10. Find: a. ( 54) 9. b. ( 261) ( 3). 11. In a test (+5) marks are given for every correct answer and ( 2) marks are given for every incorrect answer. Jay answered all the questions and scored ( 12) marks though he got 4 correct answers. How many incorrect answers had they attempted?

9 12. In a class test containing 15 questions, 4 marks are given for every correct answer and ( 2) marks are given for every incorrect answer. One of her friends gets only 5. answers correct. What will be her score? 3. Answer key: 1. a 2. b 3. c 4. d 5. a 6. negative 7. ( a). 8. b+a 9. integer 10. a. -6. b. 87. 11. 16. 12. Her friend's total score = 20 + ( 20) = 0. 4. CBSE Worksheet-03. CLASS VII Mathematics (Integers). Choose correct option in questions 1 to 5. 1. At Srinagar temperature was 5 C on Monday. On Wednesday, it rose by 4 C. What was the temperature on this day? a. 1 C b. 9 C. c. 1 C d. 9 C. 2. (-3) 5 = _____. a. 15 b. -15. c. 2 d. -2. 3. (-2) (-5) (-3) = _____. a. 30 b. 10. c. -30 d. -10. 4. ( 8) [( 2) + ( 1)] = _____. a. 11 b. -24. c. -11 d. 24. 5. 72 ( 8) = _____. a. -9 b. 9. c. 80 d. -80. Fill in the blanks: 6. On a number line when we subtract a _____ integer, we move to the left. 7. The _____ of any integer a is -a. 8. for any integers a, b and c, we can say a + (b + c) = _____.

10 9. For any two integers a and b, a b = _____. 10. Find: a. 125 ( 25). b. ( 325) ( 13). 11. A shopkeeper earns a profit of Re 1 by selling one pen and incurs a loss of 40 paise per pencil while selling pencils of her old stock. In a particular month she incurs a loss of Rs 5. In this period, she sold 45 pens. How many pencils did she sell in this period? 12. Suppose we represent the distance above the ground by a positive integer and that below the ground by a negative integer. An elevator descends into a mine shaft at the rate of 5 metres per minute. What will be its position after one hour? 5. Answer key: 1. a 2. b 3. c 4. d 5. a 6. positive 7. additive inverse 8. (a + b) + c 9. b a 10. a. -5. b. 25. 11. 125 pencils 12. Position of the elevator after 60 minutes = ( 5) 60 = 300 m, , 300 m below ground level. 6. CBSE Worksheet-04. CLASS VII Mathematics (Integers). Choose correct option in questions 1 to 5. 1. A plane is flying at the height of 5000 m above the sea level.