KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 23 ON MATRIX
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 23
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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’.
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Form 4 Mathematics
The area of a triangle is 24 square units. The triangle is mapped onto image P by the matrix
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Form 4 Mathematics
(b) Mambo bought 3 exercise books and 5 pens for a total of Ksh 165. 1f Mambo had bought 2 exercise books and 4 pens, he would have spent Ksh 45 less. Taking x to represent the price of an exercise book and y to represent the price of a pen:
(i) Form two equations to represent the above information. (ii) Use matrix method to find the price of an exercise book and that of a pen. (iii) A teacher of a class of 36 students bought 2 exercise books and 1 pen for each student. Calculate the total amount of money the teacher paid for the books and pens.
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Form 3 Mathematics
(a) Given that the matrix
Find A-1 the inverse of A (b) Kimtai bought 200 bags of sugar and 300 bags of rice for a total of Kshs. 850,000. Buya bought 90 bags of sugar and 120 bags of rice for a total of Kshs. 360,000. If the price of a bag of sugar is Kshs x and that of rice is Kshs. Y, (i) Form two equations to represent the information above (ii) Use the matrix A-1 to find the prices of one bag of each item. (c) Kali bought 225 bags of sugar and 360 bags of rice. He was given a total discount of Kshs. 33, 300. If the discount on the price of a bag of rice was 2%, calculate the percentage discount on the price of a bag of sugar.
Answers
Form 4 Mathematics
A quadrilateral with vertices at K (1, 1), L (4, 1), M (2, 3) and N (1, 3) is transformed by a matrix
a) Determine the coordinates of the image
(b)On the grid provided draw the object and the image. c)i)Describe fully the transformation which maps KLMN onto K’L’M’N ii) Determine the area of the image d) Find a matrix which maps K’L’M’N’ onto KLMN.
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Form 3 Mathematics
Use matrices to solve the simultaneous equations
4x + 3 y = 18 5x – 2y = 11
Answer
Form 4 Mathematics
a) Determine the coordinates of the image
b) On the grid provided draw the object and the image c i)Describe fully the transformation which maps KLMN onto K'L'M'N' ii)Determine the area of the image. d)Find a matrix which maps K'L'M'N' onto KLMN
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Form 4 Mathematics
Two shopkeepers, Juma and Wanjiku bought some items from a wholesaler. Juma bought 18 loaves of bread, 40 packets of milk and 5 bars of soap while Wanjiku bought 15 loaves of bread, 30 packets of milk and 6 bars of soap. The prices of a loaf of bread, a packet of milk and a bar of soap were Ksh 45, Ksh 50 and Ksh 150 respectively.
(a) Represent: (i) the number of items bought by Juma and Wanjiku using a 2 x 3 matrix. (ii) the prices of the items bought using a 3 x 1 matrix. (b) Use the matrices in (a) above to determine the total expenditure incurred by each person and hence the difference in their expenditure. c) Juma and wanjiku also bought rice and sugar. Juma bought 36 kgs of rice and 23 kgs of sugar and paid Ksh 8160. Wanjiku bought 50 kg of rice and 32 kg of sugar and paid kshs 11340. Use the matrix method to determine the price of one kilogram of rice and one kilogram of sugar
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Form 4 Mathematics
The vertices of triangle T are A(1, 2), B(4, 2) and C(3, 4). The vertices of triangle Tʹ, the image of T are Aʹ(1/2 ,1) , Bʹ(2,1) and Cʹ(3/2. 2).
answer
Form 4 Mathematics
A trader bought 2 cows and 9 goats for a total of Ksh 98, 200. If she had bought 3 cows and 4 goats she would have spent Ksh 2,200 less.
a) Form two equations to represent the above information. b) Use matrix method to determine the cost of a cow and that of a goat. c) The trader later sold the animals she had bought making a profit of 30% per cow and 40% per goat. i. Calculate the total amount of money she received. ii. Determine, correct to 4 significant figures, the percentage profit the trader made from the sale of the animals
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Form 4 Mathematics
(ii) On the same grid draw O" A" B" C".
(c) Find the single matrix that maps O" A" B" C" onto OABC.
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Form 4 Mathematics
Find the value of p.
(b) A saleswoman earned a fixed salary of Ksh x and a commission of Ksh y for each item sold. In a certain month she sold 30 items and earned a total of Ksh 50 000. The following month she sold 40 items and earned a total of Ksh 56 000. (i) Form two equations in x and y. (ii) Solve the equations in (i) above using matrix method. (iii) In the third month she earned Ksh 68 000. Find the number of items sold.
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Form 3 Mathematics
(a) Determine in terms of k, the x coordinate of point B'.
(b) If OAB’ is a right angled triangle in which angle OB’A is acute, find two possible values of k.
answer
Form 4 Mathematics
(b) Okello bought 5 Physics books and 6 Mathematics books for a total of Ksh 2 440.
Ali bought 7 Physics books and 9 Mathematics books for a total of Ksh 3 560. (i) Form a matrix equation to represent the above information. (ii) Use matrix method to find the price of a Physics book and that of a Mathematics book. (c) A school bought 36 Physics books and 50 Mathematics books. A discount of 5% was allowed on each Physics book whereas a discount of 8% was allowed on each Mathematics book. Calculate the percentage discount on the cost of all the books bought.
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Form 4 Mathematics
Two matrices A and B are such that;
Given that the determinant of AB = 4, find the value of k.
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Form 4 Mathematics
(b) In a certain week a businessman bought 36 bicycles and 32 radios for total of Kshs 227 280. In the following week, he bought 28 bicycles and 24 radios for a total of Kshs 174 960
Using matrix method, find the price of each bicycle and each radio that he bought (c) In the third week, the price of each bicycle was reduced by 10% while the price of each radio was raised by 10%. The businessman bought as many bicycles and as many radios as he had bought in the first two weeks. Find by matrix method, the total cost of the bicycles and radios that the businessman bought in the third week.
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Form 3 Mathematics
Given that:
Hence, solve simultaneous equations below:
2x – 3 y = 5 -x + 2y = -3
Answer
Form 3 Mathematics | Topical Questions and Answers
Matrix p is given by:
ANSWER
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