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- The headteacher of a secondary school placed an order for x - lockers and y - chairs from a metal works with the
following conditions:(Solved)
The headteacher of a secondary school placed an order for x - lockers and y - chairs from a metal works with the
following conditions:
i) The number of chairs should be more than the number of lockers.
ii) The total number of lockers and chairs must not exceed 100.
iii) There should be at least 20 chairs and not less than 10 lockers.
iv) The cost of a locker is ksh. 2500 and that of a chair is ksh. 1000 and the headteacher has only ksh. 1500 to spend
on lockers and chairs during the term.
a) Write down all the inequalities describing the situation above.
b) On the grid provided, draw a graph representing the inequalities.
c) Determine the maximum number of lockers and chairs that can be bought.
Date posted: May 3, 2019. Answers (1)
- A plane S flies from a point P (400N, 450W) to a point Q(350N, 450W) and then onto a point T (350N, 1350E).(Solved)
A plane S flies from a point P (400N, 450W) to a point Q(350N, 450W) and then onto a point T (350N, 1350E).
a) Given that the radius of the earth is 6370km, find the distance P to Q in km.
b) Find in nm;
i) the shortest distance between Q and T.
ii) the longest distance between Q and T (to the nearest tens).
c) Find the difference in time taken when S flies along the shortest and longest routes if its speed is 420 knots.
Date posted: May 3, 2019. Answers (1)
- A bag, contains 5 blue balls, 8 red balls and 3 green balls being similar in shape and size. A ball is picked out at
random...(Solved)
A bag, contains 5 blue balls, 8 red balls and 3 green balls being similar in shape and size. A ball is picked out at
random without replacement and it’s colour noted. Use a tree diagram to determine the probability that at least
one of first two balls picked is green.
Date posted: May 3, 2019. Answers (1)
- In a F4 class there are 22 girls and 18 boys. The probability that a girl completes the secondary education course is
3/5 whereas that of...(Solved)
In a F4 class there are 22 girls and 18 boys. The probability that a girl completes the secondary education course is
3/5 whereas that of a boy is 2/3. A student is picked at random from the class. Find the probability that the student picked:
i) Is a boy and will complete the course.
ii) Will complete the course.
Date posted: May 3, 2019. Answers (1)
- The table below shows the income tax rates for a certain year.(Solved)
The table below shows the income tax rates for a certain year.
In that year Maina paid a net tax of ksh. 5512 per month. His total monthly taxable allowances amounted to ksh.
15,220 and he was entitled to a monthly personal relief of ksh. 1162. Every month the following deductions were made
- NHIF Ksh. 320
- Union dues Ksh. 200
- Co-op shares Ksh. 7500
a) Calculate Maina’s monthly basic salary in Ksh.
b) Calculate his monthly net salary.
Date posted: May 3, 2019. Answers (1)
- In a botanical experiment, the length of 60 leaves of a certain type of a tree were measured correct to the nearest
0.1cm.(Solved)
In a botanical experiment, the length of 60 leaves of a certain type of a tree were measured correct to the nearest
0.1cm.
a) State the modal class.
b) Calculate the median length.
c) Using a working mean of 5.2, find
i) The mean.
ii) The standard deviation.
Date posted: May 3, 2019. Answers (1)
- In the triangle OAB below, OA = a, OB = b and OC = 3/2OA. M divided OB in the ratio 3:2.(Solved)
In the triangle OAB below, OA = a, OB = b and OC = 3/2OA. M divided OB in the ratio 3:2.
a) Express in terms of a and b only, the vectors
i) BA
ii) MC
b) Given further that MN = hMC and BN = kBA, express vector MN in two different ways and hence, find the value of h and k.
c) Show that the points M, N and C are collinear.
Date posted: May 3, 2019. Answers (1)
- Find the exact area of the shaded region.(Solved)
Find the exact area of the shaded region.
Date posted: May 3, 2019. Answers (1)
- The eleventh term of an A.P is four times the second term. If the sum of the first seven terms of the A.P is 175
find...(Solved)
The eleventh term of an A.P is four times the second term. If the sum of the first seven terms of the A.P is 175
find the first term and the common difference.
Date posted: May 3, 2019. Answers (1)
- A quantity y varies partly as x and partly as the inverse of the square of x. If x = 2 when y = 4...(Solved)
A quantity y varies partly as x and partly as the inverse of the square of x. If x = 2 when y = 4 and x = 4
when y = 6.25 find the equation connecting x and y.
Date posted: May 3, 2019. Answers (1)
- Expand (2 + 1/4x)6 up to the term containing x4. Hence evaluate (1.975)6 to 5 d.p.(Solved)
Expand (2 + 1/4x)6 up to the term containing x4. Hence evaluate (1.975)6 to 5 d.p.
Date posted: May 3, 2019. Answers (1)
- Find the values of a and b where and b are rational numbers.Given that
(Solved)
Find the values of a and b where and b are rational numbers.Given that
Date posted: May 3, 2019. Answers (1)
- Solve for x in the equation(Solved)
Solve for x in the equation
6Sin2x - Cos x - 5 = 0 for 0 ≤ x ≤ 3600.
Date posted: May 3, 2019. Answers (1)
- Ketepa tea worth ksh. 40 per kg is mixed with Sasini tea worth sh. 60 per kg in the ratio 3:1. In what ratio should...(Solved)
Ketepa tea worth ksh. 40 per kg is mixed with Sasini tea worth sh. 60 per kg in the ratio 3:1. In what ratio should this
mixture be mixed with Kericho tea worth sh. 50 per kg to produce a mixture worth sh. 47 per kg.
Date posted: May 3, 2019. Answers (1)
- Find the equation of the tangent at the point (3, 1) to the curve.
y = x2 - 4x + 4(Solved)
Find the equation of the tangent at the point (3, 1) to the curve.
y = x2 - 4x + 4
Date posted: May 3, 2019. Answers (1)
- Find the radius and co-ordinates of the centre of a circle whose equation is(Solved)
Find the radius and co-ordinates of the centre of a circle whose equation is
Date posted: May 3, 2019. Answers (1)
- Solve for x in the equation.(Solved)
Solve for x in the equation.
22x-1 +4x+1 =264
Date posted: May 3, 2019. Answers (1)
- Two taps A and B together, can fill water in a tank in 6 minutes. Tap A alone takes 5 minutes longer to fill the...(Solved)
Two taps A and B together, can fill water in a tank in 6 minutes. Tap A alone takes 5 minutes longer to fill the tank than
the tap B alone. How many minutes does it take tap B alone to fill the tank.
Date posted: May 3, 2019. Answers (1)
- Make p the subject of the formula;(Solved)
Make p the subject of the formula;
Date posted: May 3, 2019. Answers (1)
- The position vectors of A and B are a = 2i - 3j + 4k and b = -2i - j + 2k respectively. Find...(Solved)
The position vectors of A and B are a = 2i - 3j + 4k and b = -2i - j + 2k respectively. Find to 2d.p the length of vector AB.
Date posted: May 3, 2019. Answers (1)