Questions and answers: Mathematics

Q&A Categories

• History and Government
• Christian Religious Education (CRE)
• IRE
• Mathematics
• Physics
• Biology
• Geography
• Chemistry
• English
• English Literature
• Commercial and Administrative Law
• Business Studies
• Diploma in ECDE
• Certificate in ECDE
• Computer Studies
• Computer Science
• Kiswahili
• Agricuture
• Home Science
• Accounting
• Economics
• CPA Financial Accounting
• CPA Commercial Law
• Entrepreneurship and Communication
• CPA Quantitative Analysis
• CPA Economics
• CPA Company Law
• CPA Financial Management
• CPA Taxation
• CPA Cost Accounting
• CPA Financial Reporting
• CPA Advanced Financial Reporting
• CPA Auditing and Assurance
• CPA Advanced Taxation
• CPA Management Information Systems
• CPA Advanced Auditing and Assurance
• CPA Strategy, Governance and Ethics
• CPA Advanced Management Accounting
• CPA Advanced Financial Management
• ATD Information Communication Technology
• ATD Auditing
• ATD Financial Accounting
• ATD Principles of Management
• ATD Business Mathematics
• ATD Business Mathematics
• PTE Home Science
• ATD Fundamentals of Finance

4958 Questions  View: All | Solved | Unsolved

Search Results...

• Wanyama on arrival in Kenya to play for Harambee Stars against Uganda Cranes converted 6000 Euros into Kenyan Shillings. During his stay in Kenya he...(Solved)
  

  Wanyama on arrival in Kenya to play for Harambee Stars against Uganda Cranes converted 6000 Euros into Kenyan Shillings. During his stay in Kenya he spent Kshs. 260,000 and converted the remaining amount into US Dollars before travelling back to England. Using the exchange rates below, find how many US Dollars he got? Currency Buying Selling (Kshs.) (Kshs.) 1 US Dollar 96.20 96.90 1 Euro 112.32 112.83

  Date posted: November 13, 2019.  

• The sum of four consecutive odd integers is greater than 24. Determine the first four such integers.(Solved)
  

  The sum of four consecutive odd integers is greater than 24. Determine the first four such integers.

  Date posted: November 13, 2019.  

• Wafula uses 1/6 of his land for planting maize, 1/12 for beans and 4/9 of the remainder for grazing. He still has 10 hectares of unused...(Solved)
  

  Wafula uses 1/6 of his land for planting maize, 1/12 for beans and 4/9 of the remainder for grazing. He still has 10 hectares of unused land. Find the size of Wafula’s land.

  Date posted: November 13, 2019.  

• Without using a calculator evaluate:-(Solved)
  

  Without using a calculator evaluate:-

  Date posted: November 13, 2019.  

• A Japanese tourist visiting Kenya changed 1,305,000 Yen into Kenya shillings. While in Kenya he spent Ksh. 460,000 and converted the rest to sterling pounds...(Solved)
  

  A Japanese tourist visiting Kenya changed 1,305,000 Yen into Kenya shillings. While in Kenya he spent Ksh. 460,000 and converted the rest to sterling pounds as he headed back to the U.K. Calculate the amount he got to the nearest pound if the bank buys and sells currency as shown below. Buying (Ksh) Selling (Ksh) 100 Yen 65 66 1 sterling pound 126 127

  Date posted: November 13, 2019.  

• The table below shows distribution of masses of 65 goats to the nearest kilogram sold in a certain market. Find the median mass.(Solved)
  

  The table below shows distribution of masses of 65 goats to the nearest kilogram sold in a certain market. Find the median mass.

  Date posted: November 13, 2019.  

• Solve for x and hence list the integral values of x. x = 2x + 7 < 14 - 1/3x(Solved)
  

  Solve for x and hence list the integral values of x. x ≤ 2x + 7 < 14 - 1/3x

  Date posted: November 13, 2019.  

• A solid is made up of a hemisphere mounted on a cone. The radius of the cone and the radius of the hemisphere are each...(Solved)
  

  A solid is made up of a hemisphere mounted on a cone. The radius of the cone and the radius of the hemisphere are each 7cm and the vertical height of the cone is 13cm. Calculate the total surface area of the solid correct to two decimal places.

  Date posted: November 13, 2019.  

• Find the value of x in the equation 36^x+1 + 6^2x = 222(Solved)
  

  Find the value of x in the equation 36^x+1 + 6^2x = 222

  Date posted: November 13, 2019.  

• The first three terms of a sequence are given a 10, 14 and 18. Find the sum of the first 18 terms of the sequence.(Solved)
  

  The first three terms of a sequence are given a 10, 14 and 18. Find the sum of the first 18 terms of the sequence.

  Date posted: November 13, 2019.  

• Without using a calculator evaluate.(Solved)
  

  Without using a calculator evaluate.

  Date posted: November 13, 2019.  

• The table below shows the income tax ratesJuma is a salaried employee who is given an automatic house allowance of sh. 8000 monthly. He also gets...(Solved)
  

  The table below shows the income tax rates Juma is a salaried employee who is given an automatic house allowance of sh. 8000 monthly. He also gets a single relief of Ksh1320. If his P.A.Y.E is Ksh 5420 a month, (a) Find his total tax in shillings per annum (b) How much does he earn per month?

  Date posted: November 12, 2019.  

• The table below gives the marks obtained in a mathematics test by 47 students. (a) State the modal class (b) Draw a cumulative frequency curve to...(Solved)
  

  The table below gives the marks obtained in a mathematics test by 47 students. (a) State the modal class (b) Draw a cumulative frequency curve to represent the above data. (c) Use your graph to estimate (i) Median (ii) Lower quartile (iii) Upper quartile (d) Calculate the quartile deviation

  Date posted: November 12, 2019.  

• (a) Using trapezoidal rule estimate the area bounded by the curve y=3x² - 2 and the lines x=-4 ,x=4 and x-axis. (b) find the actual area...(Solved)
  

  (a) Using trapezoidal rule estimate the area bounded by the curve y=3x² − 2 and the lines x=−4 ,x=4 and x−axis. (b) find the actual area bounded by the curve y=3x² − 2 and the lines x=−4 ,x=4 and x−axis. (c) Calculate the percentage error when trapezoidal rule is used.

  Date posted: November 12, 2019.  

• The probability that a boy goes to school by bus is 1/3 and by matatu is ½. If he uses a bus the probability that...(Solved)
  

  The probability that a boy goes to school by bus is 1/3 and by matatu is ½. If he uses a bus the probability that he is late to school is 1/5 and if he uses a matatu the probability of being late is 3/10. If he uses other means of transport, the probability of being late is 1/20. What is he probability that; (a) He will be late to school (b) He will not be late to school (c) He will be late to school if he does not use a matatu (d) He neither uses a bus nor matatu but arrives to school early.

  Date posted: November 12, 2019.  

• The first term of A.P is 3.5, the common difference is d if the difference of 20^th and 6^th terms is 40. (a) (i)find the common...(Solved)
  

  The first term of A.P is 3.5, the common difference is d if the difference of 20^th and 6^th terms is 40. (a) (i)find the common difference, d (ii) calculate the sum of the first 40 terms of the AP (b) The progression is such that the 2^nd , 14^th and 85^th terms of the AP forms the first 3 terms of a G.P. If the common difference of A.P is 2.5 Find (i) 2^nd term of the G.P (ii) Sum of the two 10 terms of G.P

  Date posted: November 12, 2019.  

• An aeroplane that moves at a constant speed of 600 knots flies from town A (14⁰N, 30⁰W) southwards to town B (X⁰S, 30⁰W) taking 3...(Solved)
  

  An aeroplane that moves at a constant speed of 600 knots flies from town A (14⁰N, 30⁰W) southwards to town B (X⁰S, 30⁰W) taking 3 1/2 hrs. It then changes direction and flies along latitude to town C (X⁰S, 60⁰E). Given π = 3.142 and radius of the earth R= 6370 km (a) Calculate (i) The value of X (ii) The distance between town B and town C along the parallel of latitude in km. (b) D is an airport situated at (5⁰N, 120⁰W), calculate (i) The time the aeroplane would take to fly from C to D following a great circle through the South Pole. (ii) The local time at D when the local time at A is 12.20 pm

  Date posted: November 12, 2019.  

• Two circles centres A and B have radii 2.5cm and 1.5cm respectively. The distance between A and B is 7cm. (a) Draw the required circles and...(Solved)
  

  Two circles centres A and B have radii 2.5cm and 1.5cm respectively. The distance between A and B is 7cm. (a) Draw the required circles and construct the direct common tangents to the two circles. (b) Measure the length of the tangent

  Date posted: November 12, 2019.  

• The figure below shows a frustum of a square based pyramid (not drawn to scale). The base ABCD is a square of sides 10cm. The...(Solved)
  

  The figure below shows a frustum of a square based pyramid (not drawn to scale). The base ABCD is a square of sides 10cm. The top A’B’C’D’ is a square of side 4 cm and each slant edges of the frustum is 5cm long. Calculate the angle between AC’ and the line AC.

  Date posted: November 12, 2019.  

• Draw a line DF = 4.6cm.Construct the locus of point K above DF such that angle DKF = 70⁰.(Solved)
  

  Draw a line DF = 4.6cm.Construct the locus of point K above DF such that angle DKF = 70⁰.

  Date posted: November 12, 2019.  

• Triangle ABC has vertices A(1,0), B(4,0) and C(1,4) is mapped onto A’B’C’ under a shear matrix, x axis invariant and C(1,4) is mapped onto C’(7,4)....(Solved)
  

  Triangle ABC has vertices A(1,0), B(4,0) and C(1,4) is mapped onto A’B’C’ under a shear matrix, x axis invariant and C(1,4) is mapped onto C’(7,4). Find the shear matrix hence find the coordinates of the image of P(2,-3) and Q(-2,-3).

  Date posted: November 12, 2019.  

• Calculate all the values of x between -180° and +180° which satisfy the equation 6 cos (x - 30)° = -3.(Solved)
  

  Calculate all the values of x between -180° and +180° which satisfy the equation 6 cos (x − 30)° = −3.

  Date posted: November 12, 2019.  

• The cost of a matatu was sh. 950 000.It depreciated in value by 5% per year for the first 2 years and 15% per for...(Solved)
  

  The cost of a matatu was sh. 950 000.It depreciated in value by 5% per year for the first 2 years and 15% per for the subsequent years. Calculate the value of the matatu after 5 years.

  Date posted: November 12, 2019.  

• Given that P varies directly as V and inversely as the cube root of R and that P = 12 when V = 3 and...(Solved)
  

  Given that P varies directly as V and inversely as the cube root of R and that P = 12 when V = 3 and R = 2, (i) Find an equation connecting P, V and R. (ii) Find the percentage change in P if V is increased by 12% and R decreased by 36%

  Date posted: November 12, 2019.  

• The radius and height of a cylindrical Kentank rounded to 1 cm are 105 cm and 300 cm respectively. Calculate the percentage error in its volume.(Solved)
  

  The radius and height of a cylindrical Kentank rounded to 1 cm are 105 cm and 300 cm respectively. Calculate the percentage error in its volume.

  Date posted: November 12, 2019.  

• Given that and that a and b are rational numbers, find the values of a and b.(Solved)
  

  Given that and that a and b are rational numbers, find the values of a and b.

  Date posted: November 12, 2019.  

• Use the method of completing the square to solve 4 - 9x - 3x² = 0(Solved)
  

  Use the method of completing the square to solve 4 − 9x − 3x² = 0

  Date posted: November 12, 2019.  

• Solve for x in log³ = log⁵ 0.5.(Solved)
  

  Solve for x in log³ = log⁵ 0.5.

  Date posted: November 12, 2019.  

• (a) Expand and simplify (x - 1/2x)⁶ up to the term in x³ and state the constant term. (b) Use this expansion to calculate to...(Solved)
  

  (a) Expand and simplify (x − 1/2x)⁶ up to the term in x³ and state the constant term. (b) Use this expansion to calculate to 4 d.p the value of (0.96)⁶.

  Date posted: November 12, 2019.  

• Make h the subject of the formula.(Solved)
  

  Make h the subject of the formula.

  Date posted: November 12, 2019.