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The first term of a geometric sequence is 16 and the fifth term is 81 find the sum of the first 10 terms giving your...
(Solved)
The first term of a geometric sequence is 16 and the fifth term is 81 find the sum of the first 10 terms giving your answer correct to 2 decimal places.
Date posted:
September 30, 2019
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Answers (1)
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The cost of water is partly constant and partly varies as the number of units consumed. A family that use 10 units pays sh. 320...
(Solved)
The cost of water is partly constant and partly varies as the number of units consumed. A family that use 10 units pays sh. 320 and a family that uses 12 units uses sh. 370 for water. Calculate the amount paid by a family that uses 20 units of water in a month.
Date posted:
September 30, 2019
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Answers (1)
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Three pegs R,S and T are on the corners of a triangular plain field. R is 300m from S on a bearing of 300o and...
(Solved)
Three pegs R,S and T are on the corners of a triangular plain field. R is 300m from S on a bearing of 300o and T is 450 m directly south of R
(a) Using a scale of 1:6000 draw a diagram to show the positions of the pegs
(b) Use the scale drawing to determine:
(i) The distance between T and S in metres.
(ii) The bearing of T from S
(c) Find the area of the field, in hectares correct to one decimal place
Date posted:
September 30, 2019
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Answers (1)
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Two towns A and B are 360km apart. Msamaria left A at 8.15am and travelled towards B at an average speed of 90km/hr. After 21/3hours...
(Solved)
Two towns A and B are 360km apart. Msamaria left A at 8.15am and travelled towards B at an average speed of 90km/hr. After 21/3hours a minibus left B towards A at an average speed of 110km/hr
(a)(i) At what time did the two vehicles meet?
(ii) How far from A did they meet?
(b) A motorist started from his home at 10.30am on the same day towards B at a speed of 100km/hr and arrived at B at the same time as Msamaria. Calculate the distance from A to his house.
Date posted:
September 30, 2019
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Answers (1)
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The figure below shows a cone with water filled as shown below.
(a) Calculate the volume of water in the vessel.
(b) Metal hemisphere is completely submerged...
(Solved)
The figure below shows a cone with water filled as shown below.
(a) Calculate the volume of water in the vessel.
(b) Metal hemisphere is completely submerged in the water, causing the water level to rise by 6cm. calculate
(i) The radius of the new water surface.
(iii) The diameter of the hemisphere.
Date posted:
September 30, 2019
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Answers (1)
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Use a ruler and compasses only in this question.
(a) Construct triangle ABC such that AB=6cm, AC=8.5cm and 0
(b) Draw a bisector of line AB from...
(Solved)
Use a ruler and compasses only in this question.
(a) Construct triangle ABC such that AB=6cm, AC=8.5cm and 0
(b) Draw a bisector of line AB from M on AB to meet BC at N.
(c) Determine the areas;
(i) MBN
(ii) AM NC
(d) Express the ratio of the area MBN to AMNC in the form 1: n
Date posted:
September 30, 2019
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Answers (1)
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A swimming pool 30m long is 1m deep at its shallow end and 4m deep at its deep end. The pool is 4m wide
(a) Calculate...
(Solved)
A swimming pool 30m long is 1m deep at its shallow end and 4m deep at its deep end. The pool is 4m wide
(a) Calculate the volume of water in cubic metres when the pool is full.
(b) A circular pipe of diameter 14cm is sued to empty the swimming pool. Water flows through the
pipe at a speed of 5m per second. Calculate the time it would take to the nearest minute to empty
the tank.
Date posted:
September 30, 2019
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Answers (1)
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A solid cylinder with radius 7cm and height 5cm is melted down and recast into a spherical ball. Calculate to 2 decimal place the radius...
(Solved)
A solid cylinder with radius 7cm and height 5cm is melted down and recast into a spherical ball. Calculate to 2 decimal place the radius of the ball.
Date posted:
September 30, 2019
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Answers (1)
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A Canadian tourists came to Kenya with sterling pounds 5000 which he exchanged to Kenyan shillings. He spent three quarters of the money and exchanged...
(Solved)
A Canadian tourists came to Kenya with sterling pounds 5000 which he exchanged to Kenyan shillings. He spent three quarters of the money and exchanged the rest to sterling pounds on leaving. How much to the nearest pound did he receive given the exchange rate?
Buying selling
119.72 119.86
Date posted:
September 30, 2019
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Answers (1)
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A cow is 4 years 8 months older than a heifer. The product of their ages is 8 years. Determine the age
of the cow and...
(Solved)
A cow is 4 years 8 months older than a heifer. The product of their ages is 8 years. Determine the age
of the cow and that of the heifer.
Date posted:
September 30, 2019
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Answers (1)
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A bicycle can be bought for sh. 3500 cash or by paying 10 monthly installments of sh. 490 each.
Calculate the rate of interest per annum...
(Solved)
A bicycle can be bought for sh. 3500 cash or by paying 10 monthly installments of sh. 490 each.
Calculate the rate of interest per annum if its bought on hire purchase.
Date posted:
September 30, 2019
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Answers (1)
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A varies directly as B and inversely as the square root of C. Find the percentage change in A if B isincreased by 12% and...
(Solved)
A varies directly as B and inversely as the square root of C. Find the percentage change in A if B is increased by 12% and C is reduced by 36%.
Date posted:
September 30, 2019
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Answers (1)
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Use reciprocal tables to find the reciprocal of 0.216 to 3 d.p hence evaluate.
(Solved)
Use reciprocal tables to find the reciprocal of 0.216 to 3 d.p hence evaluate.
Date posted:
September 30, 2019
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Answers (1)
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(a)Draw the graph of the function. y=6x + x2 -x3 for -3 = x = 4
(b)By drawing a suitable straight line(s) on the graph in...
(Solved)
(a)Draw the graph of the function. y=6x + x2 -x3 for -3 ≤ x ≤ 4
(b)By drawing a suitable straight line(s) on the graph in (a) above estimate the roots of the following equations.
(i) 6x + x2 - x3 = 0
(ii) 2x + x2 - x3 = 0
Date posted:
September 25, 2019
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Answers (1)
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The table below shows the marks scored by students in a Mathematics test.
(a)Calculate the median mark.
(b)Using an assumed mean of 52, calculate the mean mark.
(c)On...
(Solved)
The table below shows the marks scored by students in a Mathematics test.
(a)Calculate the median mark.
(b)Using an assumed mean of 52, calculate the mean mark.
(c)On the grid provided, draw a histogram to represent the information shown above.
Date posted:
September 25, 2019
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Answers (1)
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The table below shows tax rates in the year 2012.
(a)Mrs. Mwangi pays Ksh.5400 as PAYE. She is entitled to a house allowance of Ksh.9000p.m...
(Solved)
The table below shows tax rates in the year 2012.
(a)Mrs. Mwangi pays Ksh.5400 as PAYE. She is entitled to a house allowance of Ksh.9000p.m and claims a monthly tax relief of Ksh.1093. Calculate;
(i)Her gross tax per annum.
(ii)Her monthly basic salary in Ksh.
(b)She also has monthly contributions as follows:
(i)Cooperative society contribution of Ksh.2000.
(ii)Loan repayment of Ksh.2500.
Calculate her net monthly salary.
Date posted:
September 25, 2019
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Answers (1)
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(a)A die and a coin (both fair) are thrown on a horizontal floor.
(i)List all the possible outcomes.
(ii)Find the probability of getting even number on the...
(Solved)
(a)A die and a coin (both fair) are thrown on a horizontal floor.
(i)List all the possible outcomes.
(ii)Find the probability of getting even number on the die and a tail on
the coin or an odd number on the die and a head on the coin.
(iii)Find the probability of getting a number greater than or equal to 3 on
the die and a head on the coin.
(b)The probability that a student gets grade A in Mathematics is 9/10. If she gets grade A in Mathematics then the probability that she gets grade A in Physics is 4/5. If she does not get grade A in Mathematics then the probability that she gets grade A in Physics is 3/8. Calculate the probability that she gets grade A in Physics only.
Date posted:
September 25, 2019
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Answers (1)
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A shopkeeper mixes sugar costing Sh.40 per kg with another type which costs Sh.60 per kg. Find the ratio in which the two types...
(Solved)
A shopkeeper mixes sugar costing Sh.40 per kg with another type which costs Sh.60 per kg. Find the ratio in which the two types should be mixed so that if a kilogram of the mixture is sold at Sh.55, a profit of 10% is realised.
Date posted:
September 25, 2019
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Answers (1)
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Find the inverse of the matrix hence use the matrix method to solve the simultaneous equations.
2x -2y =6
3x + y = 5
(Solved)
Find the inverse of the matrix 
hence use the matrix method to solve the simultaneous equations.
2x -2y =6
3x + y = 5
Date posted:
September 25, 2019
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Answers (1)
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Solve the simultaneous equation.
log3(2x+y) = 2
log2(3x+4y) = 4
(Solved)
Solve the simultaneous equation.
log3(2x+y) = 2
log2(3x+4y) = 4
Date posted:
September 25, 2019
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Answers (1)