KCSE Mathematics Topical Questions - Atikaschool.com - ATIKA SCHOOL

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K.C.S.E Mathematics Q & A - MODEL 2000PP1QN23

8/7/2020

Form 3 Mathematics | Topical Questions and Answers

Matrix p is given by:

(a) Find P^-1

(b) Two institutions, Elimu and Somo, purchase beans at Kshs. B per bag and maize at Kshs m per bag. Elimu purchased 8 bags of beans and 14 bags of maize for Kshs 47,600. Somo purchased 10 bags of beans and 16 of maize for Kshs. 57,400

(c) The price of beans later went up by 5% and that of maize remained constant. Elimu bought the same quantity of beans but spent the same total amount of money as before on the two items. State the new ratio of beans to maize.

ANSWER

Related Questions on Matrices

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN19

7/6/2020

A quadrilateral ABCD has vertices A (4, -4), B(2, -4), C(6, -6) and D (4, -2)

(a) On the grid provided draw the quadrilateral ABCD.
(b) A’B’C’D is the image of ABCD under positive quarter turn about the origin. On the same grid draw the image A’B’C’D
(c) A’B’C’D’ is the image of A’ B’ C’ D’ under the transformation given by the matrix

(i) determine the coordinators of A” B” C” D”
(ii) On the same grid draw the quadrilateral A” B” C” D”
(d) Determine a single matrix that maps ABCD onto A” B”C”D”

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN19

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN07

7/6/2020

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN07

A matrix A is given by \[A = \bigl(\begin{smallmatrix} x & 0\\ 5&y \end{smallmatrix}\bigr)\]
a) Determine A²
b) If \[A^{2} = \bigl(\begin{smallmatrix} 1 & 0\\ 0&1 \end{smallmatrix}\bigr)\] determine the possible pairs of values of x and y

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN07

K.C.S.E Mathematics Q & A - MODEL 1997PP1QN23

23/5/2020

K.C.S.E Mathematics Q & A

The figure on the grid shows a triangular shaped object ABC and it’s image A’B’ C’

(a)

(i) Describe fully the transformation that maps ABC and A’B’C’
(ii) Find a 2 x 2 matrix that transforms triangle ABC onto triangle A’ B’ C’

(i)Find the coordinates of A” B” C”

(c) Find the area of triangle ABC
(d) Hence find the area of the image A” B” C

KNEC MARKING SCHEME

K.C.S.E Mathematics Q & A-MODEL 1997PP1QN09

19/5/2020

Given that

\[A = \begin{bmatrix} 1 & 3\\ 5& 3 \end{bmatrix}, B = \begin{bmatrix} 3 & 1\\ 5 & -1 \end{bmatrix}, C = \begin{bmatrix} p & 0\\ 0 & q \end{bmatrix}\]

and AB = BC determine the value of P

K.N.E.C Marking Scheme

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN11

13/5/2020

A and B are two matrices. If

\[A=\begin{bmatrix} 1 &2 \\ 4 & 3 \end{bmatrix}\]
find B given that A²= A + B ( 4 marks)

MARKING SCHEME

K.C.S.E Mathematics Q & A-MODEL 1995PP1QNQ23

11/5/2020

On the grid provided on the opposite page ABCE is a trapezium

(a) ABCD is mapped onto A‟B‟C‟D‟ by a positive quarter turn. Draw the image A‟B‟C‟D‟ on the grid. ( 1 mark)

(i) Obtain the coordinates of A” B” C” D” on the grid ( 2 marks)

(ii) Plot the image A” B” C” D” on the grid (1 mark)

(c) Determine a single matrix that maps A” B” C” D” ( 4 marks)

MARKING SCHEME

K.C.S.E Mathematics Q & A-MODEL 1995PP1QN12

8/5/2020

A clothes dealer sold 3 shirts and 2 trousers for Kshs. 840 and 4 shirts and 5 trousers for Kshs 1680. Form a matrix equation to represent the above information. Hence find the cost of 1 shirt and the cost of 1 trouser.

( 4 marks)

MARKING SCHEME

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