Date: 16th Feb. to 20th Feb. 2014 Class: VI Subject: Mathematics IN SCHOOL TEACHING – SUNDAY TO THURSDAY Practical Geometry Bisector of an angle Steps 1) Draw an angle POQ with any measure. 2) Vertex O as the centre draw an arc AB. 3) A and B as the centre draw the bisector of arc AB. 4) Join OC. 5) ∠ POC = ∠ COQ Angles Construction of angles by using ruler and compass Ex 14.6 pg -291 (a) Construct ∠ 60º Steps of construction (1) Draw a line l and mark a point P on it. Take P as centre draw an arc at Q. (2) Taking Q as centre and with the same radius as before, draw an arc at point R. (3) Join PR. ∠ (b) Construct QPR = 60° ∠ 120º Steps of construction (1) Draw a line l and mark a point P on it. Take P as centre draw an arc Q. (2) Taking Q as centre and with the same radius as before, draw an arc at point R and again at S. (3) Join PS. ∠ QPS = 120° (c) Construct ∠ 90º Steps of construction (1) Draw a line l and mark a point P on it. Take P as centre draw an arc Q. (2) Taking Q as centre and with the same radius draw an arc at R and S. (3) Taking R and S as centre, draw an arc at T. (4) Join PT, ∠ QPT = 90° (d) Construct ∠ 30° Steps of construction (1) Draw a line l and mark a point P on it. Take P as centre draw an arc Q. (2) Taking Q as centre and with the same radius draw an arc at point R. (3) Q and R as centre and with radius more than RQ, draw arcs at S. (4) Join PS. ∠ QPS = 30° (e) Construct ∠ 45º Steps of construction (1) Draw a line l and mark a point P on it. Take P as centre draw an arc Q. (2) Taking Q as centre and with the same radius draw an arc at R and R as centre at S. (3) Taking R and S as centre, draw an arc at T. (4) Taking Q and U as centre, draw arcs at V. Join PV. (f) Construct ∠ ∠ QPV = 45° 135º Steps of construction (1) Draw a line l and mark a point P on it. P as centre draw a semi-circle which intersects line l at Q and R. (2) R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S. (3) Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T. (4) Taking S and T as centre, draw arcs of same radius to intersect each other at U. (5) Join PU. Let it intersect the arc at V. Now taking Q and V as centres and with radius more than QV, draw arcs to intersect each other at W. (6) Join PW which is the required ray making 135° with line l. _________________________________ AT HOME PRACTICE – SUNDAY TO THURSDAY Ex 14.6 Qn. 3 Second Semester Exam Section A -1 mark - 10 questions Section B - 2 marks - 6 question Section C – 3 marks - 6 questions (choice in 2 questions) Section D – 4 marks - 5 questions (choice in 2 questions) Blue Print Lesson Sec. A 1m Sec. B 2m Sec. C 3m Sec. D 4m Total Chapter 6 INTEGERS 3(3) 4(2) 3(1) 4(1) 14(7) Chapter 8 DECIMALS 4(4) 4(2) 3(1) 4(1) 15(8) Chapter 9 DATA HANDLING - - 3(1) 4(1) 7(2) Chapter 12 RATIO AND PROPORTION 3(3) 2(1) 6(2) 4(1) 15(7) Chapter 14 PRACTICAL GEOMETRY - 2(1) 3(1) 4(1) 9(3) Total 10(10) 12(6) 18(6) 20(5) 60(27) Pls. bring Geometry box and colours for the exam. Revision Questions for SA 2 Ratio and Proportion 1) Find the ratio of a) 1hr to 20 min b) 1 litre to 750 ml c) Rs 2 to 120 paise d) 14 days to 3 weeks e) 14 to 42 2) Find the following are in proportion or not: a) 20, 45, 70, 95 b) 440m : 2 km and 55 cm : 3 m c) 99 kg : 4 kg and Rs 44 : Rs 20 3) Find the equivalent ratio of a) 30: 55 b) 3:5 c) 21:27 4) Cost of 5kg of rice is Rs 130. Find the cost of 24 kg of rice. 5) Determine if 33, 44, 75, 100 are in proportion or not. Write the middle terms and extreme terms. 6) Rita earns Rs 5000 per month and Ruby earns Rs 7500 per month: a) Find the ratioof Rita’s earning to Ruby’s earning. b) Find the ratio of Rita’s earning to their total earning. 7) Divide 40 pencils between Seena and Reena in the ratio 5 : 3. 8) Cost of 3 apples is Rs 45. Find the cost of 2 dozen apples. Practical Geometry 1) Draw an angle of measure 90° and write the steps of construction. 2) Draw an angle of measure 135° and write the steps of construction. 3) Draw angles of measure 45°, 60°, 120° and write the steps of construction. 4) Draw a line segment of length 10.4 cm. Using compasses; divide it into four equal parts. Verify by actual measurement. 5) Draw a line segment PQ of length 7.6 cm and find its axis of symmetry. 6) Draw any line segment ST. Take any point R not on it. Through R, draw a perpendicular to line segment ST. 7) Draw a circle with centre O and radius 3.2 cm. Draw any chord bisector of Construct the perpendicular and examine if it passes through O. 8) Divide with ruler and compasses 180° into four equal angles. 9) Draw any line segment ST. Mark any point P on it. Through P, draw a perpendicular to line segment ST. Integers 1) Write five negative integers greater than -45 and six negative integers less than -25. 2) Add the following using a number line: a) (-7) + 5 b) 9 + (-6) + 3 3) Write the number which is: a) 7 more than (-3) b) 6 less than (-2) 4) Fill in the blanks with >, < or = sign (show the calculation work) a) (-5) + 97 ……………. (-5) – (-8) b) (-15) – (-24) ……………… (-15) + (-16) 5) Find the value of the following: a) (-9) + (-20) + (-36) + 65 b) 235 – (-95) + (-35) – (-75) 6) Complete the table Predecessor Number -10 1 17 -1 Successor Decimals 1) Write the following in the place value chart and also write the number names. a) 32.45 b) 508.287 2) Write in decimal form. a) 300 + 50 + b) 20 + 1 100 7 10 3) Arrange the following decimals in ascending order. a) 0.458, 0.256 , 0.512, 0.31 b) 2.222, 2.022, 2.012, 2.512 4) Write as fractions in lowest term. a) 7.81 b) 24.075 5) Express as decimal: a) 855 paise 2 b) 8 5 6) Write in ‘m’ using decimals. a) 515cm b) 8m 6 cm 7) Find the sum: a) 0.845 + 4.6 + 2.08 b) 405.5 + 20.305 + 58 8) Subtract: a) 40.58 m from 78 m b) 13.754 kg from 34.780 kg 9) Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m on foot in order to reach her school. How far is her school from her residence? 10) Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her? Data Handling 1) In a Science test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks. 8 1 3 7 6 7 5 4 4 2 4 9 3 3 2 1 6 5 2 7 7 3 8 4 2 6 9 5 8 6 7 4 5 6 9 6 4 4 5 6 (a) Find how many students obtained marks equal to or more than 8. (b) How many students obtained marks below 5? 2) A survey of 100 school students was done to find which activity they prefer to do in their free time. Preferred activity Number of students Playing 25 Reading story books 20 Watching TV 30 Listening to music 10 Painting 15 Draw a bar graph to illustrate the above data taking scale of 1 unit length = 5 students. Which activity is preferred by most of the students? 3) The number of girl students in each class of a co-educational middle school is depicted by the pictograph: Class Number of girl students - 4 girls I II III IV V VI VII VIII Observe this pictograph and answer the following questions: (a) Which class has the maximum number of girl students? (b) Is the number of girls in Class VII less than the number of girls in Class V? (c) How many girls are there in Class VI? All the best for the Exam