a)
Calculate the volume of the water in the glass
(3 mks)
b)
When a spherical marble is submerged into the water in the glass, the water level rises
by 1 cm.
Calculate:
22.
i)
The volume of the marble;
(4 mks)
ii)
The radius of the marble
(3 mks)
The diag
SECTION II (50 MKS)
Answer only five questions in this section in the spaces provided
17.
A water vendor has a tank of capacity 18900 litres. The tank is being filled with water from two
pipe A and B which are closed immediately when the tank is full. Wat
1.
A farmer feed every two cows on 480 Kg of hay for four days. The farmer has 20 160 Kg
of hay which is just enough to feed his cows for 6 weeks. Find the number of cows in the
farm.
2.
(3 mks)
find a quadratic equation whose roots are 1.5 + 2 and 1.5 -
24.
a)
On the grid provided, draw a graph of the function
Y= x2 x + 3 for 0 x 6
b)
(3 mks)
Calculate the mid-ordinates for 5 strips between x= 1 and x=6, and hence
Use the mid-ordinate rule to approximate the area under the curve between x= 1, x=6
and the
Using a ruler and a pair of compasses only:
a)
Complete the trapezium;
(3 mks)
b)
Locate point t on line AB such that angle ATD = 90 0
12.
An electric pole is supported t stand vertically on a level ground by a tight wire. The wire is
(1 mk)
pegged at a d
23.
b)
Acceleration,
(2 mks)
c)
Distance the train traveled during the last 100 seconds; (2 mks)
d)
Time the train takes to travel the first half of the journey.
(3mks)
Three points P, Q and R are on a level ground. Q is 240 m from P on a bearing of 230 0
Use the expansion up to the fourth term to evaluate (1.97) 7 correct to 4
b)
decimal places
9.
The area of triangle FGH is 21 cm2. The triangle FGH is transformed using the matrix
4
5
1
2
Calculate the area of the image of triangle FGH
10.
(2 mks)
Simplif
ii)
b)
Determine the class in which the median mark lies
Using an assumed mean of 54.4, calculate the mean mark
(2 mks)
(7 mks)
19.
A school planned to buy x calculators for a total cost of Kshs 16 200. The supplier agreed to offer
a discount of Kshs 60 p
b)
After n years, the value of the house in Thika was Kshs 2 741 245 while the value
of the house in Nairobi was Kshs 2 917 231.
(4 mks)
i)
Find n
ii)
Find the annual rate of appreciation of the house in Nairobi.
(4 mks)
19.
The table below shows the numb
Time(Min)
0
1
2
3
4
5
Temperature
4
5.2
8.4
14.3
16.3
17.5
(0C)
a)
Draw the time-temperature graph on the grid provided
(2 mks)
b)
Use the graph to find the average rate of change in temperature Between t= 1.8
and t= 3.4
6.
Vector OA =
1
(2 mks)
2
and OB