Grand Test 1
1. Calculate the volume and surface area
of the rectangular base
pyramid. [3+3]
2. A mother is 30 years older than
her daughter. Five years ago, she was four times as old as
her daughter. How old are they now? [6]
3. Draw the graph of the equation
[6]
|
X
|
-5
|
-4
|
-3
|
-2
|
-1
|
0
|
1
|
2
|
|
Y
|
4
|
|
-4
|
|
|
|
|
|
From the graph find
a) Co-ordinates of minimum point.
( , )
b) The value of x for which y=2
is _____________
4. Tennis balls are sold in two
types of container; a cylinder and a cuboid. Both containers are
just big enough to hold four balls. A tennis ball has a diameter of 6.4
cm. Calculate the volume
of each container. [6]
5. A cone and a hemisphere has a
common diameter 36cm. Given that the volume of hemisphere
is seven-eighths of the volume of the cone. Find the height of the cone.
[6]
6. Find the total surface area of
the cone with radius 7cm and slant height 14cm. [2]
7. Two dice are tossed 30 times. The
sum of the scores each time is given below: [6]
|
Score
(x)
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
|
Frequency
(f)
|
1
|
1
|
3
|
4
|
6
|
8
|
3
|
2
|
1
|
1
|
0
|
Find the mean, median, mode
and range of the score
8.
The mean height of 20 girls and 14 boys is 161 cm. If the mean height of the 14
boys is 151cm,
calculate the mean height of the 20 girls. [2]
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