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- In the figure below, E is the midpoint of AB, OD:DB=2:3 and F is the point of intersection of OE and AD.(Solved)
In the figure below, E is the midpoint of AB, OD:DB=2:3 and F is the point of intersection of OE and AD.
a) Given that OA = a and OB = b , express in terms of a and b
i) OE
ii) AD
b) Given further that AF = tAD and OF = sOE where s and t are scalars, find the values of s and t.
c) Show that O, F and E are collinear.
Date posted: May 6, 2019. Answers (1)
- a) PQRS is a quadrilateral with vertices p(1, 4) Q(2, 1), R(2, 3) and S(6, 4). On the grid provided plot the quadrilateral(Solved)
a) PQRS is a quadrilateral with vertices p(1, 4) Q(2, 1), R(2, 3) and S(6, 4). On the grid provided plot the quadrilateral
b) Draw P1Q1R1S1 the image of PQRS under a positive quarter turn about the origin and write down its co-ordinates.
c) Draw P11Q11R11S11 the image of P1Q1R1S1 under the transformation whose matrix is 
and write down its co-ordinates.
d) Determine the matrix T of a single transformation that maps PQRS onto P11Q11R11S11
Date posted: May 6, 2019. Answers (1)
- In a geometrical progression, the sum of the second and third terms is 6; and the sum of the third and fourth terms is -12....(Solved)
In a geometrical progression, the sum of the second and third terms is 6; and the sum of the third and fourth terms is -12. Find:
a) (i) The first term
(ii) The common ration
b) The sum of number of consecutive terms of an arithmetical progression is -19 ½ ; the first term is 16 ½ ; and the common difference is -3. Find the number of terms.
Date posted: May 6, 2019. Answers (1)
- The table below shows the number of students who scored marks in mathematics test.(Solved)
The table below shows the number of students who scored marks in mathematics test.
a) Draw a cumulative frequency graph for the data.
b) Use the graph to estimate the median mark.
c) If students who score over 40 marks pass the tests estimate the percentage of the students
i) who passed
ii) who failed
Date posted: May 6, 2019. Answers (1)
- X and Y are two variables such that Y is partly constant and partly varies inversely as the square of X. If Y = 3...(Solved)
X and Y are two variables such that Y is partly constant and partly varies inversely as the square of X. If Y = 3 when X= 2 and Y = 5 when X = 1, find Y when X = 4.
Date posted: May 6, 2019. Answers (1)
- Make y the subject of the formula given(Solved)
Make y the subject of the formula given
Date posted: May 6, 2019. Answers (1)
- The equation of a circle centre (h, k) is 2x2 + 2y2– 8x + 5y + 10 = 0. Find the values of h and...(Solved)
The equation of a circle centre (h, k) is 2x2 + 2y2– 8x + 5y + 10 = 0. Find the values of h and k.
Date posted: May 6, 2019. Answers (1)
- Find the midpoint of the straight line joining A (2, 1) and D (6,5).(Solved)
Find the midpoint of the straight line joining A (2, 1) and D (6,5).
Date posted: May 6, 2019. Answers (1)
- Without using mathematical tables or calculator; evaluate:(Solved)
Without using mathematical tables or calculator; evaluate:
Date posted: May 6, 2019. Answers (1)
- Find the equation of the normal to the tangent of the curve y=x3 – 3x2 + 2x + 1 at the point where x=3. Leave...(Solved)
Find the equation of the normal to the tangent of the curve y=x3 – 3x2 + 2x + 1 at the point where x=3. Leave your answer in the form y=mx + c.
Date posted: May 6, 2019. Answers (1)
- The sector below has a radius of 12cm and an angle AOC = 60o is folded to form a cone. Find the volume of the...(Solved)
The sector below has a radius of 12cm and an angle AOC = 60o is folded to form a cone. Find the volume of the cone
formed.
Date posted: May 6, 2019. Answers (1)
- P and Q are two points such that OP = i + 2j + 3k and OQ = 4i + 5j – 3k. M is...(Solved)
P and Q are two points such that OP = i + 2j + 3k and OQ = 4i + 5j – 3k. M is a point that divides PQ externally in the
ratio 3:2. Find the co-ordinates of M.
Date posted: May 6, 2019. Answers (1)
- Find the variance and standard deviation of 3, 5, 7, 9, 11(Solved)
Find the variance and standard deviation of 3, 5, 7, 9, 11
Date posted: May 6, 2019. Answers (1)
- Using a ruler and a pair of compasses only construct a triangle PQR in which QR is 6.6cm, P=3.8cm and PQ = 5.6cm.Locate point x...(Solved)
Using a ruler and a pair of compasses only construct a triangle PQR in which QR is 6.6cm, P=3.8cm and PQ = 5.6cm.Locate point x inside triangle PQR which is equidistant from P and R such that angle PXR = 90o.
Date posted: May 6, 2019. Answers (1)
- Under a shear with x-axis invariant a square with vertices A(1,0), B(3,0), C(3,2) and D(1,2) is mapped onto a
parallelogram with vertices A1(1,0) B1(3,0), C1(7,2) and...(Solved)
Under a shear with x-axis invariant a square with vertices A(1,0), B(3,0), C(3,2) and D(1,2) is mapped onto a
parallelogram with vertices A1(1,0) B1(3,0), C1(7,2) and D1(5,2). Find the shear matrix.
Date posted: May 6, 2019. Answers (1)
- A radio cassette is offered for sale at shs 8,000 or a deposit of shs. 1,000 and 15 monthly repayments of shs 840. Find the...(Solved)
A radio cassette is offered for sale at shs 8,000 or a deposit of shs. 1,000 and 15 monthly repayments of shs 840. Find the rate of interest compounded monthly that is being charged under hire purchase terms.
Date posted: May 6, 2019. Answers (1)
- Solve for x in the equation(Solved)
Solve for x in the equation
Sin(4x - 10)o – Cos (x + 60)o = 0
Date posted: May 6, 2019. Answers (1)
- Use mathematical tables to evaluate.(Solved)
Use mathematical tables to evaluate.
Date posted: May 6, 2019. Answers (1)
- A particle P moves in a straight line such that t seconds after passing a fixed point Q. it’s velocity is given by the
equation 2t3...(Solved)
A particle P moves in a straight line such that t seconds after passing a fixed point Q. it’s velocity is given by the
equation 2t3 -10t + 12 find:
a) The values of t when p is instantaneously at rest.
b) An expression for the distance moved by P after t seconds.
c) The total distance traveled by P in the first 3 seconds after passing point O.
d) The distance of P from O when acceleration is zero.
Date posted: May 6, 2019. Answers (1)
- A tailor bought a number of suits at a cost of sh.57,000 from Ken-suit wholesalers. Had he bought the same number of
suits from Umoja wholesalers...(Solved)
A tailor bought a number of suits at a cost of sh.57,000 from Ken-suit wholesalers. Had he bought the same number of
suits from Umoja wholesalers it would have costed him sh.480 less per suit. This would have enabled him to buy 4
extra suits for the same amount of money.
a) Find the number of suits the tailor bought.
b) The tailor later sold each suit for sh.720 more than he had paid for it. Determine the percentage profit he made.
Date posted: May 6, 2019. Answers (1)