SECTION I Answer all the questions in this section In this question, show all the steps in your calculations, giving the answer at each stage. Use logarithms correct to four decimal place, to evaluate. (3 marks) Make h the subject formula (2 marks) Line AB given below is one side of triangle ABC. Using a ruler and a compasses only: Complete the triangle ABC such that BC = 5 cm and angle ABC = 45°. (1 mark) On the same diagram construct atriangle touching sides AC, BA produced and BC produced. (2 marks) The position vectors of…

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SECTION I (50 marks) Answer all the questions in this section. Without using a calculator, evaluate (2 marks) Simplify (3 marks) Simplify the expression (3 marks) Mapesa travelled by train from Butere to Nairobi. The bus left Butere on Sunday at 23:50 hours and travelled for 7 hours 15 minutes to reach Nakuru. After a 45 minutes stop at Nakuru, the train took 5 hours 40 minutes to reach Nairobi. Find the time, in the 12 hour clock system and the day Mapesa arrived in Nairobi. (2 marks) The figure below shows the net of a solid. Below is a part of…

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SECTION (50 MKS) Answer all the questions in this section in the spaces provided. A farmer feeds every two cows on 480 Kg of hay for four days. The farmer has 20 160 Kg of hay which is just enough to feed his cows for 6 weeks. Find the number of cows in the farm. (3 marks) Find a quadratic equation whose roots are 1.5 + √2 and 1.5 - √2, expressing it in the form ax2 + bx + c =0, where a, b and c are integers (3 marks) The mass of a wire m grams (g) is…

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SECTION A (50 marks) Without using mathematical tables or calculator, evaluate: (3 marks) Without using a calculator, evaluate, leaving the answer as a fraction in its simplest form. (3 marks) Given that the ratio x: y = 2:3, find the ratio (5x-2y) : (x+y) (3 mk) A bus traveling at an average speed of 63 km/h left a station at 8.15 a.m. A car later left the same station at 9:00 am and caught up with the bus at 10.45am. Find the average speed of the car. (3 marks) Without using Logarithm tables or calculators, evaluate, (4 marks) The figure below…

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SECTION I (50 marks)Answer all the questions in this section in the spaces provided. Without using a calculator evaluate, Kutu withdrew some money from a bank. He spent 3/8 of the money to pay for Mutua’s school fees and 2/5 to pay for Tatu’s school fees. If he remained with 12 330, calculate the amount of money he paid for Tatu’s school fees. (4 marks) A straight line l passes through point (3, -2) and is perpendicular to a line whose equation is 2y-4x = 1. Find the equation of l in form of y = mx + c, where m…

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Section 1(50 marks)Answer all the questions in this section in the spaces provided. Use logarithms, correct to 4 decimal places, to evaluate. (4 marks) Three grades A,B and C of rice were mixed in the ratio 3:4:5. The cost per kg of each of the grades A,B and C were Ksh 120, Ksh 90 and Ksh 60 respectively.Calculate: The cost of one kg of the mixture; (2 marks) The selling price of 5 kg of the mixture given that the mixture was sold at 8% profit. (2 marks) Make s the subject of the formula. Solve the inequalities 2x-5 >…

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SECTION A (50 marks)Answer all the questions in this section. Without using a calculator, evaluate; ( 3 marks) The diagonal of a rectangular garden measures 111/4 m while its width measures 63/4 m.Calculate the perimeter of the garden. (2 marks) A motorist took 2 hours to travel from one point to another town and 1 hour 40 minutes to travel back. Calculate the percentage change in the speed of the motorist. (3 marks) A square room is covered by a number of a whole rectangular slabs of sides 60 cm by 42 cm.Calculate the least possible area of the room in…

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SECTION I (50 marks)Answer all the questions in this section in the spaces provided . Evaluate giving the answer to 4 significant figures. (2 marks) Make n the subject of the equation. (3 marks) An inlet tap can fill an empty tank in 6 hours . It takes 10 hours to fill the tank when the inlet tap and an outlet tap are both opened at the same time .Calculate the time the outlet tap takes to empty the full tank when the inlet tap is closed. (3 marks) Given that P = 2i - 3j + k.Q = 3i…

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SECTION 1 [ 50 marks] Without using a calculator, evaluate (4 marks) Find the reciprocal of 0.216 correct to 3 decimal places, hence evaluate (3 marks) Expand and simplify the expression (2x2-3y3 )2+12x2y3 (2 marks) In the parallelogram PQRS shown below ,PQ=8 cm and angle SPQ =300If the area of the parallelogram is 24 cm , find its perimeter. (3 marks) Given that 92Y×2X=72, find the values of x and y . (3 marks) Three bells rings at intervals of 9 minutes , 15 minutes and 21 minutes. The bells will next ring together at 11.00 pm, Find the time the…

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SECTION I (50 marks)Answer all the questions in this section in the spaces provided. Round off each of the following numbers in the expression to 3 significant figures, hence evaluate the expression. (2 marks) Given the matrices A= (23 40) and B = (21 31), find AB – 5B. (3 marks) Three types of coffee A, B and C are mixed such that A:B = 4:3 and B:C = 1:2.Determine the mass of type C in the mixture of 52kg. (3 marks) In the Geometric Progression (G.P), the 4th term is 24, and the sixth term is 96.Determine: The common…

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Mathematics