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Math’s assignMent for suMMer vacation. Class-8th Chapter 1 Rational numbers Q.1 Is zero a rational number? If yes, give two examples. Q.2 What are the identity elements for the addition and multiplication of rational numbers? Q.3 Write four rational numbers which are greater than - 31 and less than 4. Q.4 Find ten rational numbers between 2 and 3. Q.5 Represent ½,4/5,6/10 on number line. Q.6 find 3 rational number between ¼ and ½ . Q.7Write five rational number between -2/3 and 5/4. Q.8 Write the additive inverse of -7/9 and 5/8. Q.9 Write the multiplicative inverse of -15, 12/25 ,-1. Q.10 Multiply 6/11 by the reciprocal of -7/3. CHAPTER – 3 UNDERSTANDING QUADRILATERALS Q.1 What is the sum of the measures of the four angles of a quadrilateral? Q.2 If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is called .............. Q.3 The adjacent angles in a parallelogram are............. Q.4 State true or false :A pentagon is a concave polygon. Q.5 A regular polygon is both equiangular and.......... Q.6 The adjacent sides of a parallelogram are in the ratio 3:7 and its perimeter is 100 cm. Find the sides of the parallelogram. Q.7 The angles of a quadrilateral are in the ratio 2:3:4:6. Find the measure of the angles. Q.8 Find the number of sides of a regular polygon whose each exterior angle has a measure of 36°. Q.9 DiagonalsAC and BD of a rectangleABCD intersect each other at point O. If OA=3cm, Find AC and BD. Q.10 Lengths of the diagonals AC and BD of a rhombus are 6cm and 8 cm res. Find the side of the rhombus. ASSIGNMENT WORK FOR 1ST Formative assessment 2016-17 Objective : Write the properties of different kinds of quadrilaterals , along with figures giving examples from daily life in a tabular form . Explain about all the six types of quadrilaterals in details and its uses in different fields like architecture, engineering, music, science and INFORMATION TECHNOLOGY. Project work Topic: To verify that sum of the angles of a triangle is 180°. Representation: Draw at least 3 different types of triangles and measure their angles .find the sum of the angles of the triangles. Is there any other method of proving the angle sum property of a triangle? Write at least three application of the angle sum property of a triangle . Suggested web site http://www.mathwarehouse.com/geometry. http://users.mct.open.ac.uk. Practice paper for first formative assessment class 8th 1. 2. 3. 4. 5. 6. The rational number that does not have a reciprocal (a) 1 (b) 0 (c) 2 (d) -1 What is the multiplicative identity for rational number(a) 2 (b) 0 (c) 1 (d)½ 𝑎 −𝑎 𝑎 𝑏 Additive inverse of rational number 𝑏 is (a) 𝑏 (b) 𝑏 (c) 𝑎 (d) a How many diagonals does a regular hexagon have? (a) 2 (b) 9 (c) 7 (d)3 Sum of measure of exterior angles of any polygon is (a) 180° (b) 90° (c) 360° (d) 270° −7 5 Write the additive inverse of (a) 9 (b) 7 . −2 7. Write the multiplicative inverse of (a) -13 (b) -1 x 5 . 8. (a)Express 49 as the sum of 7 odd numbers (b)How many numbers lies between square of 12 and 13. 9. Find the square of 42 by applying (a+b) ² not by multiplication. 10. Find the square root of 9604 by prime factorization method. 11. In a parallogram RING. If measure of angle R is 70º, find all the others. 12. (a)With out adding find the sum of 1+3+5+7+9+11+13+15+17+19+21+23. (b) Name the property under multiplication used a x b= b x a . 13. Find the number of sides of a regular polygon who’s each exterior angle has a measure of 45º. 14. Find the measure of each exterior angle of regular polygon of 9 sides. 15. Measure of two adjacent angles of a parallelogram is in the ratio 3:2. Find the measure of each of the angles of a parallogram. −2 −5 −9 16. (a)Represent 11 , 11 , 11 on number line. (b) In ABC, < 𝐵 =90° ,if AB=6cm, BC=8cm, Find AC, 17. Find Pythagoreans triplets in which one member is 12. 18. Find the smallest number by which 9408 must be divided so that the quotient is a perfect square. Find the square root of the quotient. 2 4 19. (a) Find 5 rational number between 3 and5. (b) find the square root of 12.25 20. Find the length of the side of a square whose area is 441 m2. 21. Find the smallest square number that is divisible by each of the numbers 4, 9, 10. 22. The greatest negative integer is ------------------------------. 23. Zero is greater than every ----------------------------------- integer. 24. If a integer is greater than 1,It’s reciprocal is------------------1. 25. How many fourths are there in 3. 26. How much is 3/8 of a day? 27. what fraction is 25 years of a century. 28. Multiply the following decimal numbers:a) 2.3x10 b)211.04x4 c)2.5x0.5 29. Find the area of rectangle whose length is 5.7cm and breadth is 3cm? 30. Express as rupees using decimal:a) 5paise b)25rupees 5paise c)250paise d)70paise 31. convert:a) 8km to m b) 12.5cm to dam c)750m to km d) 8.75kg to gram 32. Express in kg:a) 2000gram b) 4580gram