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4958 Questions  View: All | Solved | Unsolved

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• a) A straight line L1 whose equation is 3y – 2x = -2 meets the x –axis at R. Determine the coordinates of R b)...(Solved)
  

  a) A straight line L1 whose equation is 3y – 2x = -2 meets the x –axis at R. Determine the coordinates of R b) A second line L2 is perpendicular to L1 at R. Find the equation of L2 in the form y = mx + c, where m and c are constants c) A third line L3 passes through (-4, 1) and is parallel to L1, find i) The equation of L3 in the form y=mx+c, where m and c are constants iii) The coordinates of point S at which L3 intersects L2

  Date posted: November 15, 2019.  

• Complete the table below for the function Y = 2x³ + 5x² – x– 6.(Solved)
  

  Complete the table below for the function Y = 2x³ + 5x² – x– 6.

  Date posted: November 15, 2019.  

• The frequency table below shows the daily wages paid to casual workers by a certain company. a) Draw a histogram to represent the above information above...(Solved)
  

  The frequency table below shows the daily wages paid to casual workers by a certain company. a) Draw a histogram to represent the above information above b) i) State the class in which the median wage lies ii) Draw a vertical line in the diagram showing where the median wage lies c) Using the histogram, determine the number of workers who earn sh. 450 or less per day.

  Date posted: November 15, 2019.  

• In the triangle ABC below AB = 3b and AC = 2c. BX = 4/13c - 30/13b. Point M divides BC in the ratio 2:3....(Solved)
  

  In the triangle ABC below AB = 3b and AC = 2c. BX = 4/13c - 30/13b. Point M divides BC in the ratio 2:3. Lines BX has been protected to meet AC at point N, a)Find the following vector in terms of b and c i) AX ( ii) AM b) Prove that points A, X and M are collinear and state the ratio in which X divides AM c) Given that BX:XN = 10:3, find the ratio in which N divides AC

  Date posted: November 15, 2019.  

• In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120° a) Calculate the length of AB, correct to one decimal place b) If BC is the base...(Solved)
  

  In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120° a) Calculate the length of AB, correct to one decimal place b) If BC is the base of the triangle, calculate correct to one decimal place i. The perpendicular height of the triangle ii. The area of the triangle iii. The size of angle ACB

  Date posted: November 15, 2019.  

• Solve the following simultaneous equations X² + y² = 16 Y – 2X = 1(Solved)
  

  Solve the following simultaneous equations X² + y² = 16 Y – 2X = 1

  Date posted: November 15, 2019.  

• A straight line passes through the point (-3, -4) and is perpendicular to the line where equation is 3x + 2y = 11 and intersects...(Solved)
  

  A straight line passes through the point (-3, -4) and is perpendicular to the line where equation is 3x + 2y = 11 and intersects the x-axis and y-axis at points A and B respectively. Find the length AB.

  Date posted: November 15, 2019.  

• Expand and simplify the expression (2x² – 3y³)² + 12x²y³.(Solved)
  

  Expand and simplify the expression (2x² – 3y³)² + 12x²y³.

  Date posted: November 15, 2019.  

• Given that Cos(x -20)° = Sin(2x + 32)° and x is an acute angle, find Tan (x – 4)°.(Solved)
  

  Given that Cos(x -20)° = Sin(2x + 32)° and x is an acute angle, find Tan (x – 4)°.

  Date posted: November 15, 2019.  

• Write down four inequalities which fully describe the un-shaded region R in the figure S below.(Solved)
  

  Write down four inequalities which fully describe the un-shaded region R in the figure S below.

  Date posted: November 15, 2019.  

• Given that Log a = 0.30 and Log b = 0.48: find the value of Log b²/a.(Solved)
  

  Given that Log a = 0.30 and Log b = 0.48: find the value of Log b²/a.

  Date posted: November 15, 2019.  

• Evaluate using square, cubes and reciprocal tables.(Solved)
  

  Evaluate using square, cubes and reciprocal tables.

  Date posted: November 15, 2019.  

• Given that and that x is an integer, find the sum of the smallest and the largest values of x.(Solved)
  

  Given that and that x is an integer, find the sum of the smallest and the largest values of x.

  Date posted: November 15, 2019.  

• Simplify(Solved)
  

  Simplify

  Date posted: November 15, 2019.  

• Without using a calculator, evaluate.(Solved)
  

  Without using a calculator, evaluate.

  Date posted: November 15, 2019.  

• (a) Evaluate: 540936 – 726450 ÷ 3 b) Write the total value of the digit in thousands place of the result obtained in (a) above(Solved)
  

  (a) Evaluate: 540936 – 726450 ÷ 3 b) Write the total value of the digit in thousands place of the result obtained in (a) above

  Date posted: November 15, 2019.  

• The data shows the ages of some biological students in Kasa university. (a) On the grid provided draw a cumulative frequency curve for the data. (b)...(Solved)
  

  The data shows the ages of some biological students in Kasa university. (a) On the grid provided draw a cumulative frequency curve for the data. (b) Use the graph in (a) above to determine: (i) The median (ii) The quartile deviation. (iii) The percentage of students whose age lies in the range of 24years to 30 years

  Date posted: November 15, 2019.  

• The acceleration of a body moving along a straight line is (2t – 1)m/s² and its velocity is vm/s after t seconds. (i) If the initial...(Solved)
  

  The acceleration of a body moving along a straight line is (2t – 1)m/s² and its velocity is vm/s after t seconds. (i) If the initial velocity of the body is 4m/s , express v in terms of t . (ii) Find the velocity of the body after 4 seconds (iii) Calculate the time taken to attain the maximum velocity. (iv) The distance covered by the body to attain maximum velocity.

  Date posted: November 15, 2019.  

• A varies directly as M and inversely as the square root of Q. Given that A = 280,and M = 40 when Q = 16: (a)...(Solved)
  

  A varies directly as M and inversely as the square root of Q. Given that A = 280,and M = 40 when Q = 16: (a) find A when Q = 9 and M =36 (b) Find the value of M when A = 400 and Q = 0.64. (c) if Q is increased by 26%band M decreased by 20%, find the percentage change in A.

  Date posted: November 15, 2019.  

• (a) Using mid - ordinate rule, estimate the area under the curve y = x² – 2, using six strips between x =2 , x...(Solved)
  

  (a) Using mid - ordinate rule, estimate the area under the curve y = x² – 2, using six strips between x =2 , x = 8 and x-axis (b) (i) Use integration to determine the exact area under the curve. (ii) find the percentage error in calculating the area using the mid – ordinate rule.

  Date posted: November 15, 2019.  

• The equation of a curve is given by y = 2+ 2cos theta(a) Complete the table below for the function y = 2 + 2cos...(Solved)
  

  The equation of a curve is given by y = 2+ 2cos theta (a) Complete the table below for the function y = 2 + 2cos theta (b) (i) On the grid draw the graph of y = 2 + 2cos theta for the range given in the table above. (ii) State the amplitude and the period of the curve. (c) On the same grid , plot the graph of y = tan theta for the range 90⁰ = ? = 270⁰ (d) Using the graphs drawn solve the equation 2 + 2 cos theta = tan for 90⁰ = ? = 270⁰

  Date posted: November 15, 2019.  

• The 1^st , 7^th, and 25^th terms of an arithmetic progression are the first three consecutive terms of a geometrical progression. The 20th term of...(Solved)
  

  The 1^st , 7^th, and 25^th terms of an arithmetic progression are the first three consecutive terms of a geometrical progression. The 20th term of the arithmetic progression is 22. Find: 1.(i) The first term and the common difference of the arithmetic progression. (ii) The sum of the first 20 terms of the arithmetic progression. 2.(i) The 7^th term of the geometric progression. (ii) the sum of the first six terms of them geometric progression.

  Date posted: November 15, 2019.  

• ABCDEFGH is a cube of 12cm. (a) Find: (i) AC (ii) EC (b) The angle between EC and the plane ABCD. (c) The angle between the plane...(Solved)
  

  ABCDEFGH is a cube of 12cm. (a) Find: (i) AC (ii) EC (b) The angle between EC and the plane ABCD. (c) The angle between the plane EBCH and BCGF

  Date posted: November 15, 2019.  

• Two circles of radii 4cm and 8cm are positioned in such way that theirs centres are 15cm apart as shown below. Find x.(Solved)
  

  Two circles of radii 4cm and 8cm are positioned in such way that theirs centres are 15cm apart as shown below. Find x.

  Date posted: November 15, 2019.  

• The Morans basketball team measured the length and width of their basketball court and found it to be 15.2m and 28.4m respectively. calculate to 2...(Solved)
  

  The Morans basketball team measured the length and width of their basketball court and found it to be 15.2m and 28.4m respectively. calculate to 2 decimal places the percentage error in its area.

  Date posted: November 15, 2019.  

• Find the centre and radius of the circle whose equation is 2x² + 2y² - 12x + 20y – 4 = 0.(Solved)
  

  Find the centre and radius of the circle whose equation is 2x² + 2y² - 12x + 20y – 4 = 0.

  Date posted: November 15, 2019.  

• A tea dealer has two brands of tea , brand P and brand Q . one kilogram of brand P and one kilogram of brand...(Solved)
  

  A tea dealer has two brands of tea , brand P and brand Q . one kilogram of brand P and one kilogram of brand Q costs ksh 86 and ksh 74 respectively . in what ratio should she mix them to have a brand which costs ksh 78 a kilograms?

  Date posted: November 15, 2019.  

• Ngere Tea Factory depends on two sources of light energy at night , Diesel Engine powered generator or Mains electricity. The probability that the generator...(Solved)
  

  Ngere Tea Factory depends on two sources of light energy at night , Diesel Engine powered generator or Mains electricity. The probability that the generator fails is 0.16 while the probability that there is Mains Electricity power blackout is 0.26 calculate the probability that: (i) there are both sources of power (ii) there is total blackout in the entire factory.

  Date posted: November 15, 2019.  

• Below is a line PQ and a point A. Determine the locus of a point K which is equidistant from P and Q and is...(Solved)
  

  Below is a line PQ and a point A. Determine the locus of a point K which is equidistant from P and Q and is 3cm from A.

  Date posted: November 15, 2019.  

• (i) Using binomial expansion to expand up to the term x^-3(ii) Use the expansion above to evaluate 3.4⁵(Solved)
  

  (i) Using binomial expansion to expand up to the term x^-3 (ii) Use the expansion above to evaluate (3.4)⁵

  Date posted: November 15, 2019.