Category: Form 4 Level

A figure whose co-ordinates are A(-2, -2), B(-4, -1), C(-4, -3) and D(-2, -3) undergoes successive transformation ERS; where E, R and S are transformations represented by the matrices,

2/12/2021

Comments

(a) A figure whose co-ordinates are A(-2, -2), B(-4, -1), C(-4, -3) and D(-2, -3) undergoes successive transformation ERS; where E, R and S are transformations represented by the matrices,

On the grid provided, show the figure ABCD and its final image under the successive transformations ERS. (6mks)

(a) ERS =

(b) Find the matrix representing the single transformation mapping the image found in (a) above
back to the object figure ABCD. (2mks)

(c) A(2,2), B(2,0) and C(3,2) are co-ordinates of the vertices of triangle ABC. Triangle ABC undergoes a shear factor 3 parallel to the x-axis. Determine the coordinates of A’B’C’ (2mks)

Comments

A particle P moves in a straight line such that t seconds after passing a fixed point Q, its velocity V m/s, is given by the equation V = t]2 - 5t – 12

30/11/2021

Comments

INTEGRATION | FORM 4 LEVEL | PAPER 2 QUESTIONS | SECTION B

A particle P moves in a straight line such that t seconds after passing a fixed point Q, its velocity V m/s, is given by the equation V = t² - 5t – 12

Find;
(a) The value of t when P is instantaneously at rest. (2mks)

(b) An expression for the distance, S metres, moved by P after t seconds given that when t = 0, s = 0 (2mks)

(c) The total distance traveled by P in the first 3 seconds after passing point Q. (3mks)

(d) The distance of P from Q when the acceleration is zero. (3mks)

Comments

Complete the table for y = Sin x + 2cos x

29/11/2021

Comments

TRIGONOMETRY III | FORM 4 LEVEL | PAPER 2 QUESTIONS | SECTION B

(a) Complete the table for y = Sin x + 2cos x. (2mks)

(b) Draw the graph of y= sin x + 2 Cos x using a scale of 1cm to represent 30o on x-axis and 2cm to represent 1 unit on y-axis. (3mks)

(c) Solve sin x + 2 cos x = 0 using the graph. (2mks)

(d) Find the range of values of x for which y≤-0.5. (3mks)

Comments

TAKING THE RADIUS OF THE EARTH R=6370 KM AND PIE=22/7, CALCULATE THE SHORTEST DISTANCE BETWEEN THE TWO CITIES P(60]0 N,29]0 E) ALONG THE PARALLEL OF LATITUDE.

29/11/2021

Comments

LONGITUDES AND LATITUDES | Distance between two points along the small and great circles in nautical miles and kilometres. | FORM 4 LEVEL | PAPER 2 QUESTIONS | SECTION B

(a) (i) Taking the radius of the earth, R= 6370km and π = 22/7, calculate the shortest distance between the two cities P(60^oN, 29^oW) and Q(60^oN, 31^oE) along the parallel of latitude. (3mks)

(ii) If it is 1200hrs at P, what is the local time at Q. (3mks)

(b) An aeroplane flew due south from a point A (60^oN, 45^oE) to a point B. the distance covered by the aeroplane was 8000km. determine the position of B. (4mks)

Comments

Differentiate with respect to x

27/11/2021

Comments

Differentiate with respect to x (3mks)

Worked Answer:

Comments

T is a transformation represented by the matrix

27/11/2021

Comments

T is a transformation represented by the matrix

Under T, a square of area 10cm square is mapped onto a square of area 110cm square find the value of x. (3mks)

Worked Answer:

Comments

A number of people are asked to cut 20cm lengths of string without measuring. Later 100 pieces are collected and measured correct to the nearest 1/10cm. the data below was collected.

22/11/2021

Comments

PAPER 1, SECTION B, STATISTICS II, FORM 4 LEVEL, 10 MARKS

A number of people are asked to cut 20cm lengths of string without measuring. Later 100 pieces are collected and measured correct to the nearest 1/10cm. the data below was collected.

Using 19.7 as a working mean calculate:

(a) Mean (4mks)

(b) Standard deviation (5mks)

(c) State the modal class (1mk)

Comments

A particle P moves in a straight line such that t seconds after passing a fixed point Q, its velocity is given by the equation

25/10/2021

Comments

A particle P moves in a straight line such that t seconds after passing a fixed point Q, its velocity is given by the equation

2t² – 10t + 12 find;

a) The values of t when p is instantaneously at rest (2mks)

b) An expression for the distance moved by P after t seconds (2mks)

c) The total distance traveled by P in the first 3 seconds after passing point O. (3mks)

d) The distance of P from O when acceleration is zero

Comments

K.C.S.E Mathematics Q & A - MODEL 2019PP2QN24

24/9/2020

Comments

Form 4 Mathematics

(b) On the grid provided draw PQRS and its image P'Q'R'S’

(ii) On the same Grid draw P"Q"R‘S”.
(d) (i) Find a single matrix that maps P"Q"R’S" onto P’Q’R’S’.
(ii) Describe fully the transformation thai maps P"Q”R"S" onto P’Q’R’s’.

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2019PP2QN22

24/9/2020

Comments

Form 4 Mathematics

The amount of money contributed by a group of students during a fundraising for a needy student was as shown in the table below.

(a) On the grid provided draw an ogive to represent the data.
(b) Use the graph to estimate:
(i) The median;
(ii) The quartile deviation;
(iii) The percentage number of students who contributed at least Ksh 750.50.

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2019PP2QN21

24/9/2020

Comments

Form 4 Mathematics

A workshop makes cupboards and tables using two artisans A and B every cupboard made requires 3 days of work by artisan A and 2 days of work by artisan B. Every table made requires 2 days of work by artisan A and 2 days of work by artisan B.
In one month artisan A worked in less than 24 while artisan B Worked for Not More Than 18 Days.
The workshop made x cupboards and y tables in that month.
(a) Write all the inequalities which must be satisfied by x and y.
(b) Represent the inequalities in (a) on the grid provided.
(c) The workshop makes a profit of Ksh 6 000 on each cupboard and Ksh4 000 on each table.
Find the number of cupboards and the number of tables that must be made for maximum profit and hence determine the maximum profit.

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2019PP2QN20

24/9/2020

Comments

Form 4 Mathematics

A ship left point P(10°S, 40°E) and sailed due East for 90 hours at an average speed of 24 knots to a point R.(Take 1 nautical mile (nm) to be 1.853 km and radius of the earth to be 6370 km)
(a) Calculate the distance between P and R in:
(i) nm;
(ii) km.
(b) Determine the position of point R.
(c) Find the local time, to the nearest minute, at point R when the time at P is 11:00a.m.

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2019PP2QN19

24/9/2020

Comments

Form 4 Mathematics

The figure KLMN below is a scale drawing of a rectangular piece of land of length KL = 80m

(a) On the figure, construct
(i) The locus of a point P which is both equidistant from points L and M It and from lines KL and LM.
(ii) the locus of a point Q such that ∠KQL = 90°.
(b) (i) Shade the region R bounded by the locus of Q and the Locus of points equidistant from KL and LM.
(ii) Find the area of the region R in m². (Take ℼ= 3.142).

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2019PP2QN14

24/9/2020

Comments

Form 4 Mathematics

The vertices of a triangle PQR are P(-3, 2), Q(0,-1) and R(2, -1). A transformation matrix maps triangle PQR onto triangle P’Q' R' whose vertices are P'(-7, 2), Q'(2, -1) and R’(4, -1).
Find M^-1, the transformation that maps P'Q'R' onto PQR.

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2019PP2QN11

24/9/2020

Comments

Form 4 Mathematics

The figure ABCDEFGH represents a box.

The top lid of the box is opened such that the height OT is 35cm. Calculate the:
(a ) angle the top lid makes with the plane FGHE;
(b) length BE, correct to 2 decimal places.

answers

Comments

<<Previous

KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

​(a) A figure whose co-ordinates are A(-2, -2), B(-4, -1), C(-4, -3) and D(-2, -3) undergoes successive transformation ERS; where E, R and S are transformations represented by the matrices,

On the grid provided, show the figure ABCD and its final image under the successive transformations ERS. (6mks)

(b) Find the matrix representing the single transformation mapping the image found in (a) above back to the object figure ABCD. (2mks)

​(c) A(2,2), B(2,0) and C(3,2) are co-ordinates of the vertices of triangle ABC. Triangle ABC undergoes a shear factor 3 parallel to the x-axis. Determine the coordinates of A’B’C’ (2mks)

INTEGRATION | FORM 4 LEVEL | PAPER 2 QUESTIONS | SECTION B

​A particle P moves in a straight line such that t seconds after passing a fixed point Q, its velocity V m/s, is given by the equation V = t² - 5t – 12

​Find; (a) The value of t when P is instantaneously at rest. (2mks)

(b) An expression for the distance, S metres, moved by P after t seconds given that when t = 0, s = 0 (2mks)

​(c) The total distance traveled by P in the first 3 seconds after passing point Q. (3mks)

(d) The distance of P from Q when the acceleration is zero. (3mks)

TRIGONOMETRY III | FORM 4 LEVEL | PAPER 2 QUESTIONS | SECTION B

(a) Complete the table for y = Sin x + 2cos x. (2mks)

​(b) Draw the graph of y= sin x + 2 Cos x using a scale of 1cm to represent 30o on x-axis and 2cm to represent 1 unit on y-axis. (3mks)

​(c) Solve sin x + 2 cos x = 0 using the graph. (2mks)

(d) Find the range of values of x for which y≤-0.5. (3mks)

LONGITUDES AND LATITUDES | Distance between two points along the small and great circles in nautical miles and kilometres. | FORM 4 LEVEL | PAPER 2 QUESTIONS | SECTION B

(a) (i) Taking the radius of the earth, R= 6370km and π = 22/7, calculate the shortest distance between the two cities P(60oN, 29oW) and Q(60oN, 31oE) along the parallel of latitude. (3mks)

(ii) If it is 1200hrs at P, what is the local time at Q. (3mks)

(b) An aeroplane flew due south from a point A (60oN, 45oE) to a point B. the distance covered by the aeroplane was 8000km. determine the position of B. (4mks)

Differentiate with respect to x ​(3mks)

Worked Answer:

​T is a transformation represented by the matrix

Under T, a square of area ​10cm square is mapped onto a square of area 110cm square find the value of x. (3mks)

​Worked Answer:

​A number of people are asked to cut 20cm lengths of string without measuring. Later 100 pieces are collected and measured correct to the nearest 1/10cm. the data below was collected.

​Using 19.7 as a working mean calculate:

​(a) Mean (4mks)

​(b) Standard deviation (5mks)

​(c) State the modal class (1mk)

A particle P moves in a straight line such that t seconds after passing a fixed point Q, its velocity is given by the equation

a) The values of t when p is instantaneously at rest (2mks)

b) An expression for the distance moved by P after t seconds (2mks)

c) The total distance traveled by P in the first 3 seconds after passing point O. (3mks)

d) The distance of P from O when acceleration is zero

Form 4 Mathematics

24

Form 4 Mathematics

22

Form 4 Mathematics

21

Form 4 Mathematics

20

Form 4 Mathematics

19

Form 4 Mathematics

14

Form 4 Mathematics

11

Categories

Archives

HIGH SCHOOL EXAMINATIONS

COLLEGE RESOURCES

FREE NOVELS

PRIMARY SCHOOL RESOURCES 8-4-4

PRIMARY SCHOOL RESOURCES CBC

(a) A figure whose co-ordinates are A(-2, -2), B(-4, -1), C(-4, -3) and D(-2, -3) undergoes successive transformation ERS; where E, R and S are transformations represented by the matrices,

(b) Find the matrix representing the single transformation mapping the image found in (a) above
back to the object figure ABCD. (2mks)

(c) A(2,2), B(2,0) and C(3,2) are co-ordinates of the vertices of triangle ABC. Triangle ABC undergoes a shear factor 3 parallel to the x-axis. Determine the coordinates of A’B’C’ (2mks)

A particle P moves in a straight line such that t seconds after passing a fixed point Q, its velocity V m/s, is given by the equation V = t² - 5t – 12

Find;
(a) The value of t when P is instantaneously at rest. (2mks)

(c) The total distance traveled by P in the first 3 seconds after passing point Q. (3mks)

(b) Draw the graph of y= sin x + 2 Cos x using a scale of 1cm to represent 30o on x-axis and 2cm to represent 1 unit on y-axis. (3mks)

(c) Solve sin x + 2 cos x = 0 using the graph. (2mks)

(a) (i) Taking the radius of the earth, R= 6370km and π = 22/7, calculate the shortest distance between the two cities P(60^oN, 29^oW) and Q(60^oN, 31^oE) along the parallel of latitude. (3mks)

(b) An aeroplane flew due south from a point A (60^oN, 45^oE) to a point B. the distance covered by the aeroplane was 8000km. determine the position of B. (4mks)

Differentiate with respect to x (3mks)

T is a transformation represented by the matrix

Under T, a square of area 10cm square is mapped onto a square of area 110cm square find the value of x. (3mks)

Worked Answer:

A number of people are asked to cut 20cm lengths of string without measuring. Later 100 pieces are collected and measured correct to the nearest 1/10cm. the data below was collected.

Using 19.7 as a working mean calculate:

(a) Mean (4mks)

(b) Standard deviation (5mks)

(c) State the modal class (1mk)