text: # SECTION FORMULA WORKSHEET WITH ANSWERS
  
  Section Formula Worksheet with Answers :
  
  Practice questions given in this section will be much useful for the students who would like to practice the concept section formula.
  
  ## Section Formula Worksheet - Practice questions
  
  (1) Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2 : 3.     Solution
  
  (2) Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2,-3).
  
  (3) To conduct sports day activity, in your rectangular shaped school ground ABCD, lines have been drawn which chalk powder at a distance of 1 m each 100 flower pots have been placed at a distance of 1 m from each other along AD,as shown in figure.
  
  Niharika runs ¼ th the distance AD on the second line and posts a green flag. Preet runs 1/5th the distance AD on the eight line and posts a red flag. What  is between both the flags?
  
  If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags,where should she post her flag?
  
  (4) Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6).
  
  (5) Find the ratio in which the line segment joining A (1,-5) and B(-4,5) is divided by the x axis.Also find the coordinates of the point of division.
  
  (6) If (1,2),(4,y) (x,6) and (3,5) are the vertices of a parallelogram taken in order, find x and y
  
  (7) Find the coordinates of a point A, where AB is the diameter of a circle whose center is (2, -3) and B(1, 4)
  
  Solution
  
  (8) If A and B are (-2, -2) and (2, -4),respectively,find the coordinates of P such that AP  =  (3/7) AB and P lies on the line segment AB.
  
  (9) Find the coordinates of the points which divide the line segment joining A (-2, 2) and B(2, 8) into four equal parts.
  
  (10) Find the area of a rhombus if its vertices are (3, 0) (4, 5) (-1, 4) and (-2, -1) taken in order.
  
  [Hint:Area of rhombus  =  (1/2) product of its diagonals]
  
  After having gone through the stuff given above, we hope that the students would have understood, section formula worksheet with answers.
  
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  WORD PROBLEMS
  
  Word problems on simple equations
  
  Word problems on linear equations
  
  Algebra word problems
  
  Word problems on trains
  
  Area and perimeter word problems
  
  Word problems on direct variation and inverse variation
  
  Word problems on unit price
  
  Word problems on unit rate
  
  Word problems on comparing rates
  
  Converting customary units word problems
  
  Converting metric units word problems
  
  Word problems on simple interest
  
  Word problems on compound interest
  
  Word problems on types of angles
  
  Complementary and supplementary angles word problems
  
  Double facts word problems
  
  Trigonometry word problems
  
  Percentage word problems
  
  Profit and loss word problems
  
  Markup and markdown word problems
  
  Decimal word problems
  
  Word problems on fractions
  
  Word problems on mixed fractrions
  
  One step equation word problems
  
  Linear inequalities word problems
  
  Ratio and proportion word problems
  
  Time and work word problems
  
  Word problems on sets and venn diagrams
  
  Word problems on ages
  
  Pythagorean theorem word problems
  
  Percent of a number word problems
  
  Word problems on constant speed
  
  Word problems on average speed
  
  Word problems on sum of the angles of a triangle is 180 degree
  
  OTHER TOPICS
  
  Profit and loss shortcuts
  
  Percentage shortcuts
  
  Times table shortcuts
  
  Time, speed and distance shortcuts
  
  Ratio and proportion shortcuts
  
  Domain and range of rational functions
  
  Domain and range of rational functions with holes
  
  Graphing rational functions
  
  Graphing rational functions with holes
  
  Converting repeating decimals in to fractions
  
  Decimal representation of rational numbers
  
  Finding square root using long division
  
  L.C.M method to solve time and work problems
  
  Translating the word problems in to algebraic expressions
  
  Remainder when 2 power 256 is divided by 17
  
  Remainder when 17 power 23 is divided by 16
  
  Sum of all three digit numbers divisible by 6
  
  Sum of all three digit numbers divisible by 7
  
  Sum of all three digit numbers divisible by 8
  
  Sum of all three digit numbers formed using 1, 3, 4
  
  Sum of all three four digit numbers formed with non zero digits
  
  Sum of all three four digit numbers formed using 0, 1, 2, 3
  
  Sum of all three four digit numbers formed using 1, 2, 5, 6
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