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21/5/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 5

ANSWER

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A RECTANGULAR FLOOR OF A ROOM MEASURES 5.4M LONG AND 4.2M WIDE. THE ROOM IS TO BE COVERED WITH SQUARE TILES. CALCULATE THE MINIMUM NUMBER OF SQUARE TILES THAT CAN BE USED TO COVER THE FLOOR.

21/5/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 4

ANSWER

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WITHOUT USING A CALCULATOR AR MATHEMATICAL TABLES, EVALUATE:

21/5/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 3

ANSWER

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EXPRESS 5.5 RECURRING AS A MIXED NUMBER

21/5/2023

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KCSE 2020 MATHEMATICS PAPER 1 QUESTION NUMBER 2

ANSWER

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WITHOUT USING MATHEMATICAL TABLES OR A CALCULATOR, EVALUATE:

21/5/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 1

ANSWER:

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K.C.S.E Mathematics Q & A-MODEL 1996PP2QN24

16/5/2023

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Data collected form an experiment involving two variables X and Y was recorded as shown in the table below.

The variables are known to satisfy a relation of the form y = ax³+ b where a and b are constants

(a) For each value of x in the table above, write down the value of x³ ( 2 marks)
(b)
- (i) By drawing a suitable straight line graph, estimate the values of a and b ( 2 marks)
- (ii) Write down the relationship connecting y and x

K.N.E.C Marking Scheme

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K.C.S.E Mathematics Q & A - MODEL 2006PP2QN02

16/5/2023

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Form 3 Mathematics

answer

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K.C.S.E Mathematics Q & A - MODEL 2000PP2QN15

16/5/2023

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Form 3 Mathematics

Answer

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K.C.S.E Mathematics Q & A-MODEL 1995PP2QN15

15/5/2023

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Two variables P and L are such that P varies partly as L and partly as the square root of L. Determine the relationship between P and L when L = 16, P = 500 and when L = 25, P = 800.

5 marks

marking scheme

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A tailor makes two types of garments A and B. Garment A requires 3 metres of material while garment B requires 2 ½ metres of material. The tailor uses not more than 600 metres of material daily in making both garments. He must make not more than 100 gar

13/5/2023

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A tailor makes two types of garments A and B. Garment A requires 3 metres of material while garment B requires 2 Â½ metres of material. The tailor uses not more than 600 metres of material daily in making both garments. He must make not more than 100 garments of type A and not less than 80 of type B each day.

(a). Write down all the inequalities from this information. (3mks)

b) Graph the inequalities in (a) above (3mks)

c) If the business makes a profit of shs. 80 on garment A and a profit of shs. 60 on garment B, how many garments of each type must it make in order to maximize the total profit? (4mks)

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Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x-30) for the range – 180 £ x £180 (2mks)

13/5/2023

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Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x-30) for the range – 180 £ x £180 (2mks)

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The curve of the equation y = x+ 2x2, has x = ½ and x = 0 as x-intercepts. The area bounded by the x-axis, x = ½ and x = 3 is shown by the sketch below.

13/5/2023

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The curve of the equation y = x+ 2x², has x = ½ and x = 0 as x-intercepts. The area bounded by the x-axis, x = ½ and x = 3 is shown by the sketch below.

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kcse mathematics question and answer on income tax model13052023002

13/5/2023

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The table below shows income tax rates
Monthly income Tax Rate
(Kshs) (%)
Up to 9680 10
9681 – 18800 15
18801-27920 20
27921-37040 25
37041 and above 30
Omari’s monthly taxable income is Ksh. 24200

a) Calculate the tax charged on Omari’s monthly earnings. (4mks)
b) Omari is entitled to the following tax relief of 15% of the premium paid.
Calculate the tax Omari pays each month if he pays a monthly insurance premium of Ksh. 2400 (2mks)
c) During a certain month, Omari received additional earnings which were taxed at 20% each shilling. Given that he paid 36.3% more tax that month, calculate the percentage increase in his earning. (4mks)

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Using a ruler and pair of compasses only construct triangle ABC in which AB = 6.5cm, BC= 5.0cm and angle ABC = 600. Measure AC

13/5/2023

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a) Using a ruler and pair of compasses only construct triangle ABC in which AB = 6.5cm, BC= 5.0cm and angle ABC = 600. Measure AC (3mks)
b) On same side of AB as C (3mks)
i) Determine the locus of a point P such that angle APB = 600 (3mks)
ii) Construct the locus of R such that AR = 3cm. (1mk)
iii) Identify the region T such that AR  3 and APB  600 by shading the unwanted part. (3mks)

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The figure below shows solid frustum of a pyramid with a square top of side 6cm and a square base of side 10cm. The slant edge of the frustum is 8cm.

13/5/2023

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The figure below shows solid frustum of a pyramid with a square top of side 6cm and a square base of side 10cm. The slant edge of the frustum is 8cm.

a) Calculate the total surface area of the frustum (4mks)
b) Calculate the volume of the solid frustum. (3mks)
c) Calculate the angle between the planes BCHG and the base EFGH. (3mks

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A bag contains 5 red, 4 white and 3 blue beads. Three beads are selected at random without replacement. Find the probability that

13/5/2023

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A bag contains 5 red, 4 white and 3 blue beads. Three beads are selected at random without replacement. Find the probability that

a) The first red bead is the third bead picked. (2mks)
b) The beads selected were, white and blue: (2mks)
i) In that order
ii) In any order (2mks)
c) No red bead is picked (2mks)
d) Beads picked are of the same colour. (2mks)

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The following are marks scored by form four student in Mathematics test.

13/5/2023

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The following are marks scored by form four student in Mathematics test.

Marks	10-19	20-29	30-39	40-49	50-59	60-69	70-79	80-89	90-99
Frequency	2	6	10	16	24	20	12	8	2

Using an assumed mean of 54.5, calculate the

a) Mean mark (4mks)

b) Variance (4mks)

c) Standard deviation (2mks)

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Evaluate

13/5/2023

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Find the inverse of the matrix

13/5/2023

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A and B are two points on earth’s surface and on latitude 400 N. The two points are on the longitude 500W and 1300E respectively. Calculate the distance from A to B along a parallel of latitude in kilometers. (2mks)

13/5/2023

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(a) A and B are two points on earthâ€™s surface and on latitude 40⁰ N. The two points are on the longitude 50⁰W and 130⁰E respectively. Calculate the distance from A to B along a parallel of latitude in kilometers. (2mks)

(b) The shortest distance from A to B along a great circle in kilometres (Take p = ²²/₇ and radius of the earth = 6370km) (2mks)

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Seven people can build five huts in 30 days. Find the number of people, working at the same rate that will build 9 similar huts in 27days.

13/5/2023

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Seven people can build five huts in 30 days. Find the number of people, working at the same rate that will build 9 similar huts in 27days. (3mks)

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A quantity P varies partly as Q and partly as the square root of Q, given that P=30 when Q=9, and P=14 when Q=16. Find P when Q=36.

13/5/2023

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A quantity P varies partly as Q and partly as the square root of Q, given that P=30 when Q=9, and P=14 when Q=16. Find P when Q=36. (3mks)

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A carpenter wishes to make, a ladder with 18 cross-pieces. The cross pieces are to diminish uniformly in lengths from 65cm at the bottom to 31cm at the top. Calculate the length in cm, of the eighth cross-piece from the bottom

13/5/2023

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A carpenter wishes to make, a ladder with 18 cross-pieces. The cross pieces are to diminish uniformly in lengths from 65cm at the bottom to 31cm at the top. Calculate the length in cm, of the eighth cross-piece from the bottom. (3mks)

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Solve for x 2+logbase7 (3x-4) = lo base7 98

13/5/2023

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kcse question and answer on vectors ii model13052023001

13/5/2023

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~Topically Analyzed

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 5

ANSWER

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 4

ANSWER

​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 3

ANSWER

KCSE 2020 MATHEMATICS PAPER 1 QUESTION NUMBER 2

ANSWER

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 1

ANSWER:

Data collected form an experiment involving two variables X and Y was recorded as shown in the table below.

The variables are known to satisfy a relation of the form y = ax3+ b where a and b are constants

Form 3 Mathematics

Form 3 Mathematics

Two variables P and L are such that P varies partly as L and partly as the square root of L. Determine the relationship between P and L when L = 16, P = 500 and when L = 25, P = 800.

(a). Write down all the inequalities from this information. (3mks)

b) Graph the inequalities in (a) above (3mks)

c) If the business makes a profit of shs. 80 on garment A and a profit of shs. 60 on garment B, how many garments of each type must it make in order to maximize the total profit? (4mks)

Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x-30) for the range – 180 £ x £180 (2mks)

The curve of the equation y = x+ 2x2, has x = ½ and x = 0 as x-intercepts. The area bounded by the x-axis, x = ½ and x = 3 is shown by the sketch below.

The figure below shows solid frustum of a pyramid with a square top of side 6cm and a square base of side 10cm. The slant edge of the frustum is 8cm.

The following are marks scored by form four student in Mathematics test.

(a) A and B are two points on earthâ€™s surface and on latitude 400 N. The two points are on the longitude 500W and 1300E respectively. Calculate the distance from A to B along a parallel of latitude in kilometers. (2mks)

(b) The shortest distance from A to B along a great circle in kilometres (Take p = 22/7 and radius of the earth = 6370km) (2mks)

​Seven people can build five huts in 30 days. Find the number of people, working at the same rate that will build 9 similar huts in 27days. (3mks)

​A quantity P varies partly as Q and partly as the square root of Q, given that P=30 when Q=9, and P=14 when Q=16. Find P when Q=36. (3mks)

​A carpenter wishes to make, a ladder with 18 cross-pieces. The cross pieces are to diminish uniformly in lengths from 65cm at the bottom to 31cm at the top. Calculate the length in cm, of the eighth cross-piece from the bottom. (3mks)

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KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 3

The variables are known to satisfy a relation of the form y = ax³+ b where a and b are constants

The curve of the equation y = x+ 2x², has x = ½ and x = 0 as x-intercepts. The area bounded by the x-axis, x = ½ and x = 3 is shown by the sketch below.

(a) A and B are two points on earthâ€™s surface and on latitude 40⁰ N. The two points are on the longitude 50⁰W and 130⁰E respectively. Calculate the distance from A to B along a parallel of latitude in kilometers. (2mks)

(b) The shortest distance from A to B along a great circle in kilometres (Take p = ²²/₇ and radius of the earth = 6370km) (2mks)

Seven people can build five huts in 30 days. Find the number of people, working at the same rate that will build 9 similar huts in 27days. (3mks)

A quantity P varies partly as Q and partly as the square root of Q, given that P=30 when Q=9, and P=14 when Q=16. Find P when Q=36. (3mks)

A carpenter wishes to make, a ladder with 18 cross-pieces. The cross pieces are to diminish uniformly in lengths from 65cm at the bottom to 31cm at the top. Calculate the length in cm, of the eighth cross-piece from the bottom. (3mks)