Chapter – Rational Numbers Contents : Introduction Properties of Rational Numbers Representation of Rational Numbers on the Number line. Rational Numbers between two rational numbers. Learning Objectives: The students learn to represent rational numbers on the number line. They learn to verify various properties taking different values.
8th maths Rational Number test paper-1 8th maths Rational Number test pape-2 8th maths Rational Number Worksheet-1 8th maths Rational Number Worksheet-2 Download Files
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Assignment No. 1 Ch 1 Rational Numbers Assignment No. 3 CH 2 - EXPONENTS Assignment No. 3 Ch 3 Square and Square Roots Assignment No. 4 Ch – ALGEBRAIC EXPRESSION Assignment No. 5 Ch – PERCENTAGE AND ITS APPLICATIONS and many more all chapters by BAL BHARATI PUBLIC SCHOOL ,GANGA RAM HOSPITAL MARG, N.D-60
Q.1. Write.
(i) The rational number that does not have a reciprocal. (ii) The rational numbers that are equal to their reciprocals. (iii) The rational number that is equal to its negative. Answer: (i) 0 (ii) 1 and (–1) (iii) 0 Q. 2. Fill in the blanks. (i) Zero has ________ reciprocal. (ii) The numbers ________ and ________ are their own reciprocals (iii) The reciprocal of – 5 is ________. (iv) Reciprocal of 1/x , where x ≠ 0 is ________. (v) The product of two rational numbers is always a _______. (vi) The reciprocal of a positive rational number is ________. Answer: 11. (i) No (ii) 1, –1 (iii) -1/5 (iv) x (v) Rational number (vi) positive Q.3. Write any 3 rational numbers between –2 and 0. Q.4. Find any ten rational numbers between -5/6 and 5/8 Q.5. Represent these numbers on the number line. (i) 7/4 (ii) -5/6(iii) 36/7(iv) 21/3 Q.6. Multiple Choice Questions 1. A rational number p/q is said to be in the simplest form if the HCF of p and q is (a) 2 (b) 1 (c) 0 (d) 3 [A] 2. Between any two distinct rational numbers there exist (a) Finite rational numbers (b) Infinite rational numbers (c) No rational number (d) none of the above [B] 3. A rational number a/b is greater than c/d if (a) ad > bc (b) ad < bc (c) ad = bc (d) ad ≠ bc [A] 4. Is zero a rational number (a) Yes (b) No (c) Can’t say [A] 5. Rational numbers are not closed under (a) Addition (b) Multiplication (c) Division (d) Subtraction [C] 7. What number should be added to −78to get 49? 8. The sum of two rational numbers is −12. If one of the numbers is 56, find the other. 9. What number should be subtracted from −23 to get −12? 10. Divide the sum of 135and−127by the product of −317and1−2. 11. The product of two rational numbers is −169. If one of the numbers is −43, find the other. 12. A drum full of rice weights 4016kg. If the empty drum weights 1334kg, find the weight of rice in the drum. 13. A car is moving at an average speed of 4025km/h. How much distance will it cover in 712h? 14. Raju earns Rs16000/m. He spends 14of his income on food; 310of the remainder on house rent and 521of the remainder on education of children. How much money is still left with him? 15. After reading 79of a book, 40pages are left. How many pages are there in the book? 16. If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. What is the number? 17. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3, and 4 respectively, they add up to 74. Find these numbers. Further Study Visit links given below: Class VIII Mathematics VIII Algebra VIII Commercial Maths VIII Geometry & Mensuration CBSE Class VIII Science Physics Chemistry Biology 8th Sample paper 8th S. Science Points to Remember: Plane shapes having two measurements like length and breadth are called two dimensional shapes (2-D).
Solid shapes having three measurements like length, breadth and height or depth are called three dimensional shapes (3-D). In polyhedron relationship between no. of faces (F), vertices (V) and edges (E) is F + V – E = 2 It is also called Euler’s Formula. Prism : A polyhedron whose base and top are congruent polygon and whose other faces are parallelogram. Pyramid : A polyhedron whose base is a polygon and whose lateral faces are triangles with a common vertex. Practice Worksheet 1. Write down the number of faces of each of the following figures: (i) Cuboid (ii) Cube (iii) Triangular prism (iv) Square pyramid (v) Tetrahedron 2. Write down the number of edges of each of the following figures: (i) Tetrahedron (ii) Rectangular pyramid (iii) Cube (iv) Triangular prism 3. Write down the number of vertices of each of the following figures: (i) Cuboid (ii) Square pyramid (iii) Tetrahedron (iv) Triangular prism 4. Fill in the blanks: (i) A cube has …………….. vertices, …………….. edges and …………….. faces. (ii) The point at which three faces of a figure meet is known as its …………….. . (iii) A cuboid is also known as a rectangular …………….. . (iv) A triangular pyramid is called a …………….. . Answers: 1. (i) 6 (ii) 6 (iii) 5 (iv) 5 (v) 4 2. (i) 6 (ii) 8 (iii) 12 (iv) 9 3. (i) 8 (ii) 5 (iii) 4 (iv) 6 4. (i) 8, 12, 6 (ii) vertex (iii) prism (iv) tetrahedron Q. Name each of the following parallelograms.
(i) The diagonals are equal and the adjacent sides are unequal. (ii) The diagonals are equal and the adjacent sides are equal. (iii) The diagonals are unequal and the adjacent sides are equal. (iv) All the sides are equal and one angle is 60°. (v) All the sides are equal and one angle is 90°. (vi) All the angles are equal and the adjacent sides are unequal. Ans: (i) rectangle (ii) square (iii) rhombus (iv) rhombus (v) square (vi) rectangle Q. State whether True or False. a) All rectangles are squares Answer: All squares are rectangles but all rectangles can’t be squares, so this statement is false. (b) All kites are rhombuses. Answer: All rhombuses are kites but all kites can’t be rhombus (c) All rhombuses are parallelograms Answer: True (d) All rhombuses are kites. Answer: True (e) All squares are rhombuses and also rectangles Answer: True; squares fulfill all criteria of being a rectangle because all angles are right angle and opposite sides are equal. Similarly, they fulfill all criteria of a rhombus, as all sides are equal and their diagonals bisect each other. (f) All parallelograms are trapeziums. Answer: False; All trapeziums are parallelograms, but all parallelograms can’t be trapezoid. (g) All squares are not parallelograms. Answer: False; all squares are parallelograms (h) All squares are trapeziums. Answer: True For pdf Files Download 8th MCQ Parallelograms and quadrilaterals 8th Parallelogram solved Extra Edugain Questions VIII Unsolved Extra Edugain Questions 8th Quadrilateral and Parallelogram Guess Questions Download File |
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