KCSE Mathematics Topical Questions - Atikaschool.com - ATIKA SCHOOL

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN24

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

A draper is required to supply two types of shirts A and type B.
The total number of shirts must not be more than 400. He has to supply more type A than of type B however the number of types A shirts must be more than 300 and the number of type B shirts not be less than 80.
Let x be the number of type A shirts and y be the number of types B shirts.

(a) Write down in terms of x and y all the linear inequalities representing the information above.
(b) On the grid provided, draw the inequalities and shade the unwanted regions
Type A: Kshs 600 per shirt
Type B: Kshs 400 per shirt
- (i) Use the graph to determine the number of shirts of each type that should be made to maximize the profit.
- (ii) Calculate the maximum possible profit.

answer

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN24

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN23

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

The figure below represents a rectangle PQRS inscribed in a circle centre 0 and radius 17cm . PQ = 16 cm.

Calculate

(a) The length PS of the rectangle
(b) The angle POS
(c) The area of the shaded region

answer

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN23

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN22

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

Two aeroplane P and Q leaves an airport at the same time. P lies on a bearing of 240⁰ at 900 km/ h while Q flies due east at 750 km/ h.

(a) Using a scale of 1 cm to represents 100km, make a scale drawing to show the position of the aeroplane after 40 minutes.
(b) Use the scale drawing to find the distance between the two aeroplane after 40 minutes.
(c) Determine the bearing
- (i) P from Q
- (ii) Q from P

ANSWERS

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN22

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN21

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

Two variables R and V are known to satisfy a relation R = kVⁿ, where k and n are constants. The table below shows data collected from an experiment involving the two variables R and V.

(a) Complete the table of log V and R given below, by giving the value to 2 decimal places.

(a) On the grid provided draw a suitable straight line graph to represent the relation R= kVⁿ
(b)
- (i) the gradient of the line
- (ii) a relationship connecting R and V.

ANSWERS

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN21

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN20

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

(a) Find the value of x at which the curve y= x- 2x² – 3 crosses the x- axis
(b) s(x² – 2x – 3)dx
(c) Find the area bounded by the curve y = x² – 2x – 3, the axis and the lines x= 2 and x = 4

Answers

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN20

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN19

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

In the figure below, QOT is a diameter. ∠QTR = 480, ∠TQR = 760 and ∠SRT = 370

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN19

Calculate

(a) ∠RST
(b) ∠SUT
(c) ∠Obtuse RUT
(d) ∠PST

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN19

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN18

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

(a) Complete the table below for the value of y = 2 sin x + cos x.

(a) Complete the table below for the value of y = 2 sin x + cos x.

(b) Using the grid provided draw the graph of y = 2 sin x + cos x for 0⁰. Take 1 cm represent 30⁰on the x- axis and 2 cm to represent 1 unit on the axis.
(c) Use the graph to find the range of x that satisfy the inequalities 2 sin x cos x > 0.5

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN18

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN17

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

A cylindrical water tank is a diameter 7 meters and height 2.8 metre

(a) Find the capacity of the water tank in litres
(b) Six members of a family use 15 litres per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted.

Find the number of complete days a full tank of water would last the family.

ANSWERS

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN17

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN16

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

The triangular prism shown below has sides AB= DC = EF = 12 cm. The ends are equilateral triangle of sides 10cm. The point N is the midpoint FC.

The triangular prism shown below has sides AB= DC = EF = 12 cm. The ends are equilateral triangle of sides 10cm. The point N is the midpoint FC.

(a) Find the length of
- (i) BN
- (ii) EN
(b) Find the angle between the line EB and the plane CDEF

ANSWERS

The triangular prism shown below has sides AB= DC = EF = 12 cm. The ends are equilateral triangle of sides 10cm. The point N is the midpoint FC.

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN15

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

A river is flowing at uniform speed of 6 km/ h. A canoeist who can paddle at 10 km/h through still water wishes to go straight across the river.
Find the direction, relative to the bank in which he should steer.

answers

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN15

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN14

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

A science club is made up of boys and girls. The club has 3 officials. Using a tree diagram or otherwise find the probability that:

(a) The club official are all boys
(b) Two of the officials are girls

ANSWERS

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN14

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN13

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

(a) Write down the simplest expansion ( 1 + x)⁶
(b) Use the expansion up to the fourth term to find the value of ( 1.03)⁶ to the nearest one thousandth.

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN12

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

Find x if:

\[-3 log 5 + log x^{2} = log \frac{1}{125}\]

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN12

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN11

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

A balloon, in the form of a sphere of radius 2 cm, is blown up so that the volume increase by 237.5%. Determine the new volume of balloon in terms of π

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN11

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN10

13/6/2020

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

Given that P = 3 y express the equation 3^{2y – 1} + 2 × 3^y-1= 1 in terms of AP. Hence or otherwise find the value of y in the equation 3^{2y – 1} + 2 × 3^y-1= 1

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN10

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