MIND BUILDERS HIGH SCHOOL

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Nov 14, 2013 (3 years and 11 months ago)

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MIND BUILDERS HIGH SCHOOL





1
st

TERM
SUMMATIVE

TEST



(2011/2012

SESSION)



CLASS:
S.
S.S
1



SUBJECT:
PHYSICS



NAME:
----------------------------------------------------
-----------------------

Time: 1½
HOUR
S











SECTION A


OBJECTIONS


1.
Current is measure in …………………..


(a) volts (b
.
) ampere (c) mole (d)
candela

2
.

Type of motion that moves in random is ……………………


(a) rotational (b
.
) random (c) translational (d) oscillatory

3
.

A quantity that has direction but not magnititude is called ……………


(a
.
) scalar (b)
acceleration (c) velocity (d) vector

4
.

Force is classified into two major types, they are


(a
.
) contact & field (b) push & pull (c) contant & field


(d) magnetic & gravitational

5
.

Type of frictional force tha
t exists between two surfaces in relative motion is ……


(a
.
) kinetic (b) contact (c) proportionality (d) startic

6
.

Which of the following instruments can be best measure the longer distance?


(a) a set square (b
.
) t
ape rule (c) micrometer screw guage


(d) Measuring cylinder

7
.

Which of the following is not an S.I base unit?


(a) kilogram (b
.
) Newton (c) metre (d) second

8
.

Physical quantities are often divided in fundamen
tal and ………….. quantities


(a
.
) Derived (b) vector (c) measurements (d) velocity


9
.

For which of the following sets are the basics units fundamentals.


(a) volume, length, speed (b) area, length, volume



(c
.
) length, mass, time (d) time, mass, momentum

10
.

Time is measure in ………………….


(a
.
) seconds (b) hours (c) kilogramme (d) metre

11
.

Motion is cause by ………………….


(a) acceleration (b) velocit
y (c) rotational (d
.
) force

12
.

Angular velocity is ……………..


(a) w =
r
ө


(b
.
) w =
ө


(c) w =
p

(d) w =
s


t t

r


t

13
.

The instrument which is mostly used in laboratory to measure time is ………….


(a) sand (b) metre rule (c
.
) simple pendulum (d) beam balance


14.
Weight is measure in

……………….


(a)
Kilogram

(b)
metre (c
.
) Newton (d) seconds

15
.

Motion occurs in solid, liquid and …………………..


(a) Molecules (b) atoms (c
.
) gas (d) electron

16
.

The two major types of solid frictio
n are static and ………………….


(a
.
) Sliding (b) surfaces (c) starting (d) stationary

17
.

Vector is represented by ………………………


(a
.
) Line (b) angle (c) force (d) degree

18
.

The d
ensity of a water is ………………….


(a) 1000m/s
2

(b
.
) 1000kgm
-
3

(c) 100kgm
-
3

(d) 100kgm
+3

19
.

Two different materials of different mass has ………………… density.


(a
.
) Different (b) same (c) equal

(d) 1000m/s
-
2

20
.

The standard density used to compare the densities of other substance is density of
……………..


(a) Mercury (b) alloy (c) oil (d
.
) water

21
.

Relative density is also known as ……………..


(a) density

of the substance (b
.
) specific gravity


(c) equal volume of water (d) weight of substance

22
.

Area of the substance is measure in …………………


(a
.
) m
2

(b) cm
3

(c) m
4

(d) cm
4


23
.

Physics is divided into ………………. main branches.


(a) 4 (b) 5 (c
.
) 3 (d) 2

2
4
.

The single vector produced by combine two or more vectors acting on a body is
called ………………


(a)
Division

(b
.
) resultant

(c) subtraction (d) scalar

2
5
.

If the force A and B are equal and opposite the resultant R is ……………..


(a) 1 (b) 2 (c
.
) 0 (d) 5

26
.

Beam balance is an example of instrument used to measure ……………



(a)
Vector

(b) weight (c
.
) mass (d) time

27
.

Instrument used in measuring weight is ……………….


(a
.
) spring balance (
b) lever balance (c) M
etre balance


(d)
Beam

balance


28
.

The mass of irre
gular solid body can be obtained by direct ……………………


(a
.) W
eighing (b) measuring (c) calculating (d) adding

29.

Physics is the study of ……………….


(a) atoms (b) electron (c
.
) matter (d) mo
lecules


30.

The branch of physics that study the
behavior

of forces and objects acting due to
those forces is …………….


(a) mathematical physics (b) nuclear physics

(c) electricity and magnetism


(d
.
) mechanics

31.

The S.I unit that are named after a famous scientist ampere is ………………


(a) K (b
.
) A (c) col (d) S

32.

The gravitational pull (weight) is a local effect which ………….. from place to place on
the earth’s surface.


(a) stable (b
.
) varies (c) permanent (d) standard

33.

There are ……………. types of motion


(a) 2 (b) 3 (c
.
) 4 (d) 5

34.

The period of a circular motion is represented by …………



(a) P (b) A (c
.
) T (d) E

35.

The time taken to complete one revolution is …………………….


(a) 90
o

(b) 180
o

(c) 270
o

(d
.
) 360
o

36.

From the
formula

F = UR, U represent


(a) c
on
tac
t (b) resultant (c
.
) coefficient


(d) friction

37
.

The volume of a cylinder is ……………………..


(a) r
2
h (b) ∏
r
2

(c.)∏
r
2
h (d) ∏
rh

38
.

In the case where the two forces are inclined to each
other, the resultant cannot be
obtained by algebraic addition but by …………………


(a) vector subtraction (b
.
) vector addition (c) scalar addition


(d) scalar multiplication

39
.

The instrument we used to measure the density of liquid is ……
…………


(a
.
) density bottle (b) measuring cylinder (c) test tube


(d) burrette

40
.

A balloon is inflated in a cold room. When the room becomes much warmer, the

balloon becomes larger.


How does the behaviour of the air molecules in the balloon explain this?


(a)
The molecules become larger

(
b)

The molecules evaporate
(
c.

)
The molecules
move more quickly

(
d)

The molecules repel each other.












PART B


THEORY QUESTIONS

Answer
question 1 and
any

other four questions
.



1. (i) Define the following (a) Distance (b) velocity


(ii) A motor car accelerates for 10sec to attain a velocity of 20m/s. It continues with uniform velocity
for a further 20seconds and then deceler
ates so that it stops in 20 seconds. Calculates (i) Acceleration
(ii) Deceleration (iii) The distance travelled


2
a.

Define the word Physics

b.

Give two reasons why we need to study physics as a subject.

c.

List the three

basic branches of physics

d.

Write

out four different between fundamental and derived units.


3
a.

Define the word density

b.

Define the word relative density

c.

Find the density of the material of a cylinder of base radius r = 0.1m and height h =
0.5m, if the mass of the cylinder is 44kg.

d.

Write two ways that friction can be reduced.


4
a.

Define the word friction.


b.

List four laws of friction


c.

Give two advantages and two disadvantages of friction


d.

A wooden block of mass 500grams rest on a horizontal surface. Assuming the
limiting

friction is 13N, what is the coefficient of the static friction between the
surfaces. (Take g = 100ms
-
2
)


5
a.

Define motion


b.

List and explain the four types of motion.


c.

What is force?

d
.

Differentiate between centripetal and centrifugal force.


e
.

If P and Q act at right angles to each other and P = 30N when Q = 4000. Find the
resultant as well as direction.


6
a.

Mention two examples of bodies moving in circular parts. Explain why a body moves
in a circular path and does not move off the path.


b.

Define the terms:


(i) friction (ii) static friction (iii) sliding friction

c.

A wooden block of mass 5000 grams rests on a horizontal surface. Assuming the
limiting friction is 13N, what is the coefficient of the static friction
between the
surfaces (take g = 100ms
-
2
).


.





MIND BUILDERS HIGH SCHOOL

1
S
T
TERM
SUMMATIVE TEST


(2011/2012 SESSION)



CLASS:
S. S. S. 1


SUBJECT:
FURTHER MATHEMATICS


NAME:
---------------------------------------------------------------------------
TIME:2hrs



SECTION A


1.

Simplify a
-
2

x a
-
4


(a
.
) 1/a
6

(b) a
0

(c) a
7

(d) a
-
7


2.

Simplify 9
½



(a) 81 (b
.
) 3 (c) 18 (d) 27

3.

Simplify a
6

x a
2

x a
4



(a) a
6

(b) 12a (c
.
) a
12

(d) a
-
2

4.

Solve 3
½

x 27
½



(a) 3
(3)
3

(b) 2
(3)
4

(c) 3
(3)

2

(d
.
) 9

5.

The Indicial Equation means ……………..


(a)
Logarithm

equation (b
.
) indices equation

(c)
Simultaneous

equation



(d) quadratic equation

6.

Solve for x in 3
x

= 9


(a) 4 (b) 9 (c) 3 (d
.
) 2

7.

Find n if 2
n
= 128


(a) 5 (b) 4 (c) 6

(d
.
) 7

8.

Find x if x
-
1/2
= yz.


(a) x = zy

(b
.
) x =
1/

y
z

(c) x =
1

(d)
x =

yz










√yz

9.

Simplify C
7
÷ C
7


(a) C
-
1

(b
.
) 1 (c) 0

(d) 2

10.

Solve for x in 8
x

= ¼


(a
.
)
-
2
/3 (b) 2/3 (c) 3/2 (d) 4/3

11.

Simplify log 2 + log 8


(a
.
) 2 (b) 3 (c) 4 (d) 5

12.

log m + log n is


(a) log

m + n (b
.
) log
mn

(c) log
m
-
1

(d) log
m ÷ n


13.

Evaluate log (
1/5
) = x



4

4

25


(a) 9 (b) 8 (c
.
)
-
1
/2

(d)
-
8

14.

Evaluate log 20 + log 5 + log
25




(a) log 100 (b
.
)
2
log 50 (c) log 4 (d) log 60

15.

The characteristics of 0.0005671 is


(a)

2
(b)

3

(c
.)

4

(d)

5

16.

Write

the characteristic and logarithm of 0.825.


(a) 2.9165

(b
.
) 1.9165 (c) 2.5321 (d) 0.9284

17.

The square roots of irrational numbers is called


(a
.
)

surd (b) indices (c) logarithm (d) Seq
uence

18.

Simplify 2 5 x 3

5


(a) 2
30 (b
.
) 30 (c) 20 (d) 10

19.

Simplify 3√3

÷ 3√2


(a)
3

(b)

3

(c
.
)

3

(d) 2/3


2

2
2


20.

Simplify 4√2 ÷ 2√2


(a) 1 (b
.
) 2 (c) 3 (d)

2



4

21.

Simplify (a
2
)
4



(a) a
6

(b
.
) a
8

(c) a
10

(d) a
12

22.

The fifth term of this sequence 2, 5, 10, 17, …………….


(a) 26 (b
.
) 36 (c) 46 (d) 56

23.

The plural of index is ……………….


(a) logarithm (b
)
quadratic (c.) indic
es (d) surd

24.

Find the reciprocal of a
2


(a)

a
2


(b
.
)
1

(c)
2

(d)
1


1

a
2


a 2a

25.

Simplify q
-
30
÷ q
2



(a
.
) q
-
28

(b) q
-
32

(c) q
+32

(d) q
320

26.

Simplify (x
-
1
)

-
2


(a) x
-
3

(b) x
3

(c) x
-
2

(d
.
) x
2



27.

Simplify (2
-
1)
)

3


(a
.
) 1/8 (b) 8 (c) 1/6 (
d) 6

28.

Evaluate 4√0.625


(a) 8.855 (b
.
) 0.8855 (c) 88.55 (d) 885.50

29.

Simplify 3√5 x √2√3


(a.) 3√30

(b) 30√6 (c) 2√5 (d) 3√15

30.

Reduce √32 to the simplest surd.


(a) 2√4

(b) 2√2 (c) 3√2 (d
.
) 4√2

10

10

10

10

10

10

10

31.

Expand (x+3)(x
-
4)


(a
.
) x
2



x


12 (b) x
2

+ 7x


12 (c) x
2



7x + 12


(d) x
2



7x


12


32.

If a product of two
numbers

is zero, it means that at least one of the
numbers

must
be ……………….


(a) one (b) two (c
.
) zero (d) four

33.

Rationalize
3


4√3



(a)
3

(b)
√3

(c)
3

(d
.
)
√3


√3



√3


3 4

34. Log 6 is equal to



(a
.
) 0 (b) 1 (c) 2 (d) 3

35. The antilog of 0.6148 is

(a) 5321 (b) 4219 (c) 9411 (d
.
) 4119

36. Simplify 4√16


(a) 0 (b
.
) 1
6

(c) 2 (d) 3

37.

Solve 64
2/3



(a) 13 (b) 14 (c) 15 (d
.
) 16

38.

log 10000 is




(a
.
) 4 (b) 5

(c) 6 (d) 7

39.

The characteristic of 0.000053 is


(a
.
)


5 (b)

4 (c)

3 (d)

6

40.


Simplify 3
¼

x 3
¼

x 3
¼

x 3
¼



(a) 3
1/8

(b) 3
¼



(c
.
) 3 (d) 81







SECTION B



THEORY QUESTIONS

Answer any four questions in all



1a.

Simplify the following


(i) 1/p
4

÷ p
3

(ii) (3√27)

2

b.

Find p in term of q and r, if (pq)
-
2/3
= r
2

ii.

Solve for x, if 81
1
-
x

= 27
x
-
3


2a.

Solve for x, if 7
x
-
1

= 49

10

10

b.

Find the
value of x in the equation.


(a) 9
x



10.3
x

+ 9 = 0


3a.

Simplify the following


(i) (16 + 9)

½

(ii)
x+y


x
-
1

+ y
-
1

bi.

Solve log x
4

+ log 4
x

= 12


ii.

Rationalize

1
-

2


√3 + 2


4a.

The

fifth term of an A.P is 16, if the common difference is 3. Find the first term of the
A.P

b.

Evaluate 3

38.32 x 2.964

2


8.637 x 6.285


5a.

Reduce the following to the simplest surd


(i) 32 (ii)
1000 (iii) 5

96 (iv)
54


bi.

Factorize

the following


(a) x
2

+ 3x + 2 (ii) x
2



26x + 169


ii.

Form quadratic equation from these given roots


(a) (x
-
3)(x+2) (b) x =
-
4 or +5

iii. solve the quadrati
c equation using the completing the square method. 2x
2



3x


5 = 0

























2

2


MIND BUILDERS HIGH SCHOOL

1
S
T
TERM
SUMMATIVE TEST


(2010/2011 SESSION)



CLASS:
S. S. S. 1



SUBJECT:
MATHEMATICS


NAME:
-------------------------------------------
----------------------------
TIME:
2HOURS



SECTION A


Answer all in this section


1.

Simp
lify 125
-
1/3

x 49
-
1/2

x 10
o


(a) 350 (b) 35 (c
.
) 1/35 (d) 1/350 (e) 0

2.

If 3
2x

= 27, Find x.


(a) 1 (b
.
) 1.5 (c) 4.5

(d) 18 (e) 40.5

3.

Find the value of n if 3
1
-
n
= 9
n
-
1


(a) 1/3 (b)
-
1/3 (c
.
) 1 (d)
-
1 (e) 4

4.

Simplify 16
¼

x 27
-
1/3



(a) 6 (b) 2/3 (c) 12

(d) 4/3 (e) ¾

5.

If 4
x

= 8
x
-
1
, find x


(a) 8 (b
.
) 2 (c) 1 (d) 0 (e) 3

6.

Simplify (27
1/3
)
2


(a) 4½ (b) 6 (c
.
) 9 (d) 18

(e) 81

7.

Simplify (3
½
)
2

x 9
n+1
x 27
n+1

(a) 3
4+2n
(b
.
) 3
5n + 6

(c) 2
2n+1
(d) 3
2n

(e) 3
5n

8.

Simplify without using tables log 4 + log 25


(a) 100 (b) 4 (c) 3 (d)
-
2

(e
.
) 2

9.

Evaluate log 6 + log 45


log 27 without using logarithm tables.


(a) 0 (b
.
) 1 (c) 1.1738 (d) 1.3802 (e) 10

10.

Evaluate (64/27)
-
2/3

(a) 6

(b.) 9
/
1
6 (c) 1 (d)
-
1/2 (e) 2

11.

If A =


a,b,c , B = a, b, c, d, e and C = a, b, c, d, e, f ,


find ( A u

B)
ח

(A
u

C)


(a) a, b, c, d (b
.
) a, b, c, d, e (c) a, b, c,
d, e, f



(d) a, b, c


(e) Ø



10

10

10

10

10


U = 40



12.








The venn

diagram shows a class of 40 students with the games they play. How many
of the students play 2 games only?


(a) 6 (b) 4 (c) 19 (d) 15 (e) 10

13.

Given that P = b, d,

f and Q = a, e, f, g a
re subsets of the universal set.


U = a, b, c, d, e, f, g , Find P’ n Q


(a) a, c (b) a, c, d, g (c)

e, d, g (d.) a, e
, g

(e)

e, f

14.

Simplify 5 + (3 + 2) + 7


(a)
-
17 (b
.
) 17

(c) 7 (d) 18 (e) 19

15.

Perimeter of a sector is given as


(a)
Ө

x 2∏r (b)
2∏Өr



(c)
2∏Өr
2


(d
.
)
(
Ө


x

2∏r
) + 2r


360
180


360


360



1


(e)
Ө



360

16.

Simplify 7
4

÷ 7
2


(a) 7 (b) 7
-
2

(c) 8
3

(d
.
) 7
2

(e) 7
3

17.

Simplify 2 of 5rp ÷ 2r


(a) 8r (b) 5r (c
.
) 5p (d) 5rp (e) 6p

18.

Change log k = 3 to index


(a) k = 3
2

(b) 3 = k
2

(c) 2 = k
3

(d
.
) k = 2
3

(e) 3 = 2
k

19.

The characteristic of 42.87 is ……………..


(a) 0 (b
.
) 1 (c) 2 (d) 3 (e) 4

20
.

Simplify 5Q


6 when Q = 6


(a) 36 (b) 25 (c
.
) 24 (d) 27 (e) 30

21.

Simplify a
-
2

x a
-
4


(a
.
) a
-
6

(b) a
6

(c) a
-
8

(d) a
-
5

(e) a
-
2

22.

Simplify 169½


(a) 12

(b
.
) 13 (c) 14 (d) 15 (e) 16

23.

Express 0.006578 correct to two significant figure.


(a
.
) 0.0066 (b) 0.01 (c) 65 (d) 0.067 (e) 0.00067

24.

Write 567.01578 to two decimal
places


(a) 0.15 (b
.
) 567.02 (c) 57 (d) 567.016 (e) 56

Tennis

Football

Athletics

2

25.

Change 9.2 x 10
6

to ordinary form


(a) 9200 (b) 92000 (c) 920000 (d
.
) 9200000 (e) 92000000

26.

The multiplicative inverse

of
-
3 is


(a) +3 (b
.
)
-
1/3 (c) +1/3 (d) 3/1 (e)
-
3/1

27.

In the quadratic expression x
2

+ 5x + 6, constant is ……………


(a) x (b) x
2

(c
.
) 6 (d)
-
6 (e) 5x

28.

Fac
torise x
2

+ 5x + 6


(a
.
) (x + 2)(x + 3) (b) (x


2)(x + 3) (c) (x + 2)(x


3)


(d) (x


2)(x


3) (e) (x + 2)(x + 4)

29.

Simplify x
2

+ 3y + 3x
2
+ 2x + 3y


(a) x
2

+ 2y (b) 3x
2

+ 3y (c
.
) 4x
2

+ 2x + 6
y


(d) 3x
2

+ 3y (e) 2x
2

+ 2x + 3y

30.

Expand (x


1)(x


2)


(a) (x


2) (b) x
2

+ 3x


2 (c) x
2



2 (d
.
) x
2



3x + 2


(e) x
2

+ 3x + 2

31.

Simplify 5 + 2m < 3


(a) m > 1 (b) m < 1 (c) m >
-
1

(d
.
) m <
-
1 (e) m ≥ 1

32.

Simplify a
-
6

x a
5


(a) a
1

(b
.
) 1/a (c) a
-
11

(d) a
5

(e) a
-
2

33.

What is the total surface area of a closed cylinder of height 10cm and diameter 7cm?
(∏ =
22
)



7


(a) 77cm
2

(b) 227cm
2

(c) 297cm
2

(d) 374cm
2


(e) 473cm
2

34.

Solve without using tables log 62.5


log (1/2)


(a) 3 (b) 4 (c) 5 (d) 8 (e) 9

35.

What is t
he product of
27
/
81
(3)
-
3

and (1/3)
-
1


(a) 5 (b) 3 (c) 1 (d) 1/27 (e
.
)
1
2

36.

Given

that 1/3log P = 1, find p.


(a) 1/10 (b) 3 (c) 10 (d) 100 (e
.
) 1000

37.

Evaluate using logarithm tables
5.34 x 67.4






2.7


(a) 1.332 (b) 13.32 (c) 133.2 (d) 1332 (e) 13320

38.

Find the square of 3
2

. 2
3

leave your answer in index form.


(a
.
)

3
4

x 2
6

(b) 6
5

(c) 5
5

(d) 4
2

(e) 3
6

39.

Write 0.00042 in standard form


(a) 42 (b) 4.2 x 10
2

(c
.
) 4.2 x 10
-
4

(d) 4.2 x 10
4


(e) 42 x 10
-
4

40.

Simplify 10b


(
-
3b + 2b)


(a)
11b (b
.
) 9b (c) 15b (d) 32b (e) 23b

5

5

10


SECTION B


THEORY QUESTIONS

Answer any four questions in this section


1a.

Simplify

2
7


-
1/3




64


b.

Write the following to 3

significant figure


(i) 675061

(ii) 0.000058667


2ai.

Define set

ii.

List 3

types of sets you know and explain them.


b.


From a sample of 70 young people who listened to Music, 42 listened to cassette
player, 42 to records and 40 to live music. 8 students listened to cassette

only, 10 to
records only, 20 to records and cassettes and 8 to music from from all three sources.
Find the number of students who listened to live music only.


3a.

If U = 1,2,3,4,5,6,7,8,9,10 and A = 2,4,6,8 B= 1,2,5,9 , C = 2,3,9,10


Find C’u

(A n B)


b.

Evaluate


0.6752 x 0.821


2



0.00665


4a.

If A = 1, 3 , B = 4, 5 , C = 1, 5, 6 . Find

(i) A u B (ii) B n C (iii) A u B n C


b.

Solve the following


(i
) x
2

+ 10x + 25 = 0 (ii) x
2



5x + 6

= 0


5a.

Evaluate

with the use of table


36.12 x 750.9



113.2 x 92.5


bi.

Factorize x
2

+ 3x + 2

bii
.

Solve for x, if 81
1
-
x

= 27
x
-
3


C(i).
Form the quadratic equation
whose roots are 2 and 3

(i)

Find the equation whose roots are 1/3 and 1/5











MIND BUILDERS HIGH SCHOOL

1
S
T
TERM
SUMMATIVE TEST


(2010/2011 SESSION)



CLASS:
S. S. S. 2



SUBJECT:
MATHEMATICS


NAME:
-------------------------------------------
----------------------------
TIME:
2HOURS



SECTION A


1.

A money lender
collectsS
200 sim
ple interest on a capital after
2years at 5%. Calculate the capital

invested (a) s 1,000.00 (b
.
) s2,000.00 (c) s3,000.00 (d) s4,000.00

2. Ladi

sold a car for #84,000.00 at a loss of 4%. How much did Ladi buy the car?. (a) #80,500.00 (b)
#80,640.00 (c) #87,360.00 (d
.
) #87,500.00

3. Correct 0.04945 to two significant figures (a) 0.040 (b) 0.049 (c
.
) 0.050 (d) 0.049

4. The total surface area of the

walls of a room, 7m long, 5m wide and xm high is 96m
2
. Find the value
of x (a) 2/3 (b) 2 (c
.
) 4 (d) 8

5. Simplify (0.3 x 10
5
) ÷ (0.4 x 10
7
), leaving your answer in the standard form (a) 7.5 x 10
-
4



(b
.
) 7.5 x 10
-
3

(c) 7.5 x 10
-
2

(d) 7.5 x 10
-
1

6. A trader bought 100 tubers of yam at 5 for #350.00. She sold them in sets of 4 for #290.00. Find her
gain percent (a) 3.6% (b) 3.5% (c) 3.4% (d) 2.5%

7. Express the square root of 0.000144 in standard form (a) 1.2 x 10
-
4

(b) 1.2 x10
-
3

(c) 1.2 x 10
-
2

(d) 1.2
x 10
-
1

8. The nth term of a sequence is represented by 3 x2
(2
-
n)
. Write down the first three terms of the
sequence (a) 3/2, 3, 6 (b) 6,3,3/2 (c) 3/2, 3 ,1/3 (d) 2/3 , 3, 8/3

9. A trader makes a loss of 15% when selling an article. Find the ratio, s
elling price: cost price(a) 3:20
(b) 3:17 (c) 17:20 (d) 20:23

10. A boy estimated his transport fare for a journey as #190 instead of #200. Find the percentage error in
this estimate (a) 95% (b) 47.5% (c) 5.26% (d) 5%

11. Factorise 16x
2
y


24x
3
y
3

(a) 8x
2
y(
2


3xy
2
) (b) 4x
2
(4y


6xy
3
) (c) 2xy(8x


12x
2
y
2
) (d) 8(2x
2
y


3x
3
y
3
)

12. Calculate the length of the diagonal of a square whose area is pcm
2

(a) p (b) 2 p (c) p 2
(d) 2p

13. If 3log a


6log a = log 64 what
is a? (a) 4 (b) 6 (c.) 8 (d) 16

14. If 5 times a certain integer is subtracted from twice the square of the integer, the result is 63. Find
the integer. (a) 21 (b) 9 (c.) 7 (d) 4

15. Calculate the surface area of a hollow cylinder which is closed at one e
nd, if the base radius is 3.5cm
and the height 8cm (Take ∏ 22/7) (a) 126.5cm
2

(b) 165cm
2

(c) 176cm
2

(d.) 214.5cm
2
.

16. 1/3 of 4/5 of a certain number is 3. Find the number correct to 3 significant figures.


(a) 3.75 (b) 3.80 (c.) 11.25 (d)11.3

17.

Lena bought 400 Alpha Company shares at #1.50 each and sold them at #2.05 each. What was her
gain? (a) #0.55 (b.) 220.00 (c) #200.00 (d) #420.00

18. In an A.P., the first term is 2, and the sum of the 1
st

and 6
th

terms is 16 ½. What is the 4
th

term?


(
a) 12 (b.) 9 ½ (c)8 (d) 7

19. A trader sold a pair of shoes for C 2,800.00 making a loss of 20% on his cost price. Find his loss as
a percentage of his selling price (a) 16 2/3% (b) 20% (c.) 25% (d) 75%

20. The first term of a G.P is 6. If its common rati
o is 2, find the 6
th

term (a) 60 (b) 72 (c) 96 (d.) 192

21.

The nth term of a sequence is represented by 3 x 2
(2
-

n)
. Write down the first three terms of the
sequence. (a) 3/2, 3, 6 (b.) 6, 3, 3/2 (c) 3/2, 3, 1/3 (d) 3/2, 0, 6

22.
Find the missing number
in the addition of the following numbers, in base seven.


4 3 2 1


1 2 3 4


















1 2

3

4

1


(a)

3453 (b) 5556 (c) 6016 (d.) 3453

23. Given that log
4

x =
-
3 find x. (a) 1/81 (b.) 1/64 (c) 64 (d) 81

24.
Find the value of x such that the expression 1/x + 4/3x


5/6x + 1 equals zero (a) 1/6

(b) ¼ (c.)
-
3/2
(d)
-
7/6


25. Find, correct to two decimal places, the mean of 9,13,16,17,19,23,24 (a) 23.00 (b
.
) 17.29 (c) 16.50
(d) 16.33

26. Given that x + y = 7 and 3x


y = 5, evaluate y/2


3 (a.)
-
1 (b) 1 (c) 3 (d) 4


27.A ladder, 6cm long, leans a
gainst a vertical wall at an angle 53
0

to the horizontal. How high up the
wall does the ladder reach? (a) 3.611m (b) 4.521m (c.) 4.792m (d) 7.962

28. Express 0.0462 in standard form (a) 0.462 x 10
-
4

(b) 0.462 x 10
-
2

(c) 4.62 x 10
-
4

(d.) 4.62 x 10
-
2

29. If
N varies directly as M and N =

8 when M = 20, find M when N = 7 (a) 13 (b) 15 (c.) 17½ (d) 18½

30. If the simple interest on #2,000 after 9 months is #60, at what rate per annum is the interest
charged?. (a) 2¼% (b.) 4% (c) 5% (d) 6%

31. A man bought a
television set on hire purchase for #25,000 out of which he paid #10,000.If
he is
allowed to pay the balance in eight equal installments, find the value of each installment. (a) #1250 (b)
#1578 (c.) #1875 (d) #3125

32. p and q
are two positive numbers suc
h that p>2q. When one of the following statements in not true?
(a)

p <
-
2q (b)


p >
-
2q (c)

q < 2q (d) q< 1/2p.

33
. If (2x + 3)
3

= 125, find the value of x (a.) 1 (b) 2 (c) 3 (d) 4


34. Find the product of
0.0409 and 0.0021 leaving your answer in the
standard form. (a) 8.6 x 10
-
6

(b.)
8.6 x 10
-
5

(c) 8.6 x 10
-
4

(d) 8.6 x 10
5

35. If the second and fourth terms of a G.P are 8 and 32 respectively, what is the sum of the first four
terms? (a) 28 (b) 40 (c) 48 (d.) 60

36. A right circular cylinder closed at
both ends has height 10cm and radius 6cm. Fi
nd the total surface
area. (a) 48∏cm
2

(b) 78∏cm
2

(c) 120∏cm
2

(d.) 192∏cm
2

37. A headmaster contributes 7% of his income into a fund and his wife contributes 4% of her income.
If the husband earns #5,500 per annum

(p.a)

and the wife earns #4,000 (p.a), find the sum of their
contribution to the fund. (a) #1.045 (b) #605 (c.) 545 (d) 490

38. Simplify (16/81)
1/4

(a) 8/27 (b) 1/3 (c) 4/9 (d.) 2/3

39.

In the diagram, PQ//RS, find x
0

+ y
0



X
0




P Q






R y
0

S

(a)

360
0

(b) 300
0

(c) 270
0

(d.) 180
0

40.
The interior angles of a pentagon are (2x +5)
0
, (x + 20)
0
, x
0
, (3x


20)
0
, and (x + 15)
0
.
Find the
value of x. (a) 800 (b) 700 (c.) 65 (d) 40






THEORY


ANSWER

NO 1 AND

ANY

TWO

QUESTIONS IN ALL
.


(1a.) solve the equations



2x


y = 10 ..................................(i)


3x + y
2

= 22.................................(ii)



b. copy and complete the following table of values for the relation y = 2x2


3x
-
10.


X

-
3

-
2

-
1

0

1

2

3

4

5

Y

17



-
10



-
1


25


(b) using a scale of 2cm for 5units on the y
-
axis and 1cm for 1unit on the x
-
axis, draw the graph of the
relation y = 2x
2



3x


10 = 0

(c) from your graph, find the (i) roots of the equation 2x2


3x


10 = 0


(ii) value of x for which y is the minimum


(iii)roots of the equation 2x2


3x


6 = 0


(iv)roots of th
e equation 2x2
-
5x


13 = 0


d.

: 3


Using the conjugate of 3 + 2 to rationalize


2a.
A man underestimated his expenses by 6.5%, but actually spent
#400.00 . What was his estimate?

b. Correct the following to 2 significant figures


(i) 0.0000086439 (ii) 426009

c. Simplify 17. 36 x 4.65


3
a. Evaluate by using logarithm tables 16.82 x 0.00635 correct to three significant figures
.




0.0482
2

b


Using logarithm table, evalua
te 3
1.376 correct to three significant figure.



5 0.007

4
ai.

The
14
th

term of an A.P is 96 while 25
th

term is 173. Find the

(a)

19
th

term

(b)

Sum of 13
th

and 56
th

terms

(c)

Product of 6
th

and 13
th

terms

aii. Find the sum of the first 25 terms of the sequence 11,15,19, 23, 27.....


3bi.
The 3
rd

and 9
th

terms of

a G.P are 54 and 39,366 respectively. Find the

(a)

6
th


(b)

Sum of the 4
th

and 7
th

terms

(c)

Product of 2
nd

and 5
th

terms

Bii The sum of infinity of geometric progression is 18. If the first term is 1/3, find the common
ratio.


















MIND BUILDERS HIGH SCHOOL

1
S
T
TERM
SUMMATIVE TEST


(2010/2011 SESSION)



CLASS:
S. S. S. 2



SUBJECT
:

FURTHER

MATHEMATICS


NAME:
------------
----------------------------------------------------------
TIME:

2HOURS



SECTION A





1. A circle has been defined as the
-------------

of points equidistant from a fixed point. (a
.
)
Locus (b) diameter (c) radius (d) Tangent

2. If we have to find the equation of the circle the radius and
-------

must be given. (a)
diameter (b) base (c
.
) center (d) height .

3. A parabola is a locus of points, equidistant from a given point called
---------------

(a)
symmetry (b) origin (c) latus

(d
.
) focus

4. Parabola takes its origin from a given line called (a
.
) the directrix (b) the focus (c) the
vertex (d) the origin

5. Find the focus and directrix of the parabola y
2

= 16x (a) (0,4) & 4 (b) (4,0) &
-
4 (c)
(4,4) &
-
3 (d) (3,4) & +3

6.The equa
tion of the tangent to y
2

= 4ax at the point (x
1
, y
1
) is (a) y
1
y
2

= 2(x
1

+ x
2
) (b)
y
1
y
2

= 2a(x
1

+ x
2
) (c) y = 3a(x + x
1
) (d) yy
1

= 2a(x + x
1
)

7. If U = ( all the letters of the alphabet)


A = (f, a , k, e)


B = (s, p, e, a, k)



Find AnB

(a)

(
a,p,k) (b) (h,y,e) (c.) a, e,k) (d) (f,i,g)


8. Log
10
6 is equal to (a.) 0 (b) 1 (c) 2 (d) 3


9. Simplify 3
¼

x 3
¼

x 3
¼

(a) 3 1/8 (b) 3
3/4

(c) 3 (d) 81

10. The rule of combination of any two elements of a given no
-
empty set is (a) closure (b.
) a
binary operation (c) associative (d) distributive

11. If two sets do not have any thing in common, that set is called (a) power set (b)
intersection (c.) disjoint sets (d) union sets.

12. A null set is denoted by (a) o (b) α (c) Ω (d.) ø

13. Find the c
ardinality of this set A= (a,m,b,d,h) (a) 2 (b)3 (c) 1 (d.) 5

14.The equation of a circle centre (a,b), radius r is (a.)x
2

+ y
2

= r
2

(b) x + y = r
2

(c) x
2

+ y
= r

(d) x
2

+ y
2

= r.

15. Find the radius of a circle whose equation is x
2

+ y
2



6x + 4y


3 = 0 (a) 2
2

(b)3
2

(c.) 4
2

(d) 5
2

16. In general equation of the circle x and y are in (a) first degree (b) second degree (c) third
degree (d) fourth degree

17. Simplify (x
-
1
)
-
2

(a) x
-
3

(b) x
3

(c) x
-
2

(d) x
2


18. Find n if 2
n

= 128 (a) 5

(b) 4 (c) 6 (d) 7

19. In y
2

= 24x, the value of a here in comprising with y
2

= 4ax is (a.) 8 (b) 6 (c) 4 (d) 2

20. Evaluate Log
25

(1/5) = x (a) 9 (b) 8 (c)
-
1/2 (d)
-
8

21.The power set of X is usually denoted as (a) xp (b.) P(X) (c) p(s) (d) sp

22.
A s
ubset of the co
-
domain, which is a collection of all the images of the elements of the
domain is called
--------------
(a.) range (b) domain (c)image (d) co
-
domain

23.A function is a mapping whose co
-
domain is the set of …………(a) domain (b) alphabets

(c.) n
umbers (d) range.

24. If different elements in the domain X have different images in the co
-
domain Y. Thus f: X
Y is

(a.) one
-
one (b) two
-
two (c) four
-
four (d) onto
.

25.
If every element of the co
-
domain is an image of at least one element in t
he domain.
Thus f: X Y is (a) one
-
one (b) two
-
two (c.) onto (d) range

26.
Let there be two sets A and B such that xεA and yεB. The element y in B is called
---------

(a) range (b.) image (c) domain (d) function

27.
Consider

the function f: 2x

+ 3 on the set A =

-
2, 1, 3 . Find its inverse function (a.)
-
1, 5, 9 (b) 3,
-
4, 4 (c)
-
9,
-
6,
-
4 (d)
-
5, 7,
-
9

28. Evaluate
7
p
4

(a) 480 (b) 48 (c) 438 (d.) 840

29. For 4
th

term of a G.P the term is given as (a) ar
2

(b.) ar
3

(c) ar
4

(d) ar
5
.

30
.
This formula is use in finding the sum of G.P Sn = a(1
-

r
n
) / 1


r if r is
-------
(a.) less
than 1 (b) greater than 1 (c) equal to 1 (d) equal to 1.

31. Simplify log
4
9 + log
4

21


log
4

7 (a) 4log
4
4 (b) 5log
3
4 (c.) 3 log
4
3 (d) 2log
3
4

32.
A school Princi
pal and his wife, as well as three other tutors are to be seated in a row so
that the principal and wife are next to each other. Find the total number of ways this can be
done (a) 11 ways (b.) 12ways (c) 13 ways (d) 14 ways.

33.

Find the number of
permutations of the letters of the word KANO (a) 20 (b) 21 (c) 23
(d.) 24

34.
If U = (1,2,3,4,5,6,7,8,9,10)


X = (1,2,4,6,7,8,9)


Y

= (1,2,3,4,7,9)


Z = (2,3,4,7,9)

What is XnYnZ (a) 2 (b.) 2,4,7,9 (c) 3,4,5 (d) 1,3,5

35.

Find th
e common difference in this linear sequence 7, 11, 15, 19, … (a) 3 (b.) 4 (c) 5 (d)
6

36. The product of the root of this quadratic equation 2x2 + 3x


1 = 0 is (a)
-
3/2 (b) 3/2
(c.)
-
1/2 (d) ½

37.

Find the modulus of the resultant of the velocities 8ms
-
1

a
nd 6ms
-
1

inclined at an angle of
60
0

38. Find the median of 104, 107, 110, 103, 118, 100. (a) 103 (b) 104 (c.) 105.5 (d) 11
0

39. Show that x + 1 is a factor of f(x) 2x
3

+ 3x
2



5x


6 (a.) 0 (b) 1 (c) 2 (d) 3

40.
Express 3 2
-

3 i
n the form m , where m and n are whole numbers.



3


2
-

2 n

(a.)


6

(b) 4 (c) 5 (d) 6



4

6 4 5






THEORY


ANSWER ANY FOUR

QUESTIONS IN THIS SECTION

1a. Find

the equation of the parabola whose vertex is the origin and whose focus is point
F(5,0)


(1b) sketch the four cases of the parabola

2a (i) Find the equation of the circle (3,
-
2), radius 2 units


(ii) Find the general equation of a circle centre (1,4),

radius 3 units.

b. Find the centre and radius of a circle whose equation is x
2

+ y
2

-

6x + 4y
-
3 = 0

3a.The operation * on the set R of real numbers is defined by:


X * y = 3x + 2y
-
1 x,y εr

Determine:

(i)

2 * 3 (b)
-
4 * 5 (c) 1/3 *1/2 (d)
3 *
-
1

3b. Given that U = ( all the letters of the alphabet)


X = (a,e,i,o,u)


Y = (e,b,c,d,f,h)

Find
: (i) X U Y (ii) X n Y (iii) X n Y’ (iv) (X n Y)’


4a. Find the range of f: x x
2



1 if the doma
in is (
-
2,
-
1, 0, 1, 2 )

4b. If f: x 3/3


2x
, and x = 1½, find f
-
1
(x)


5a
.

In how many ways can four boys can be chosen from six?

4b
. In how many ways can three equal prizes be given to five boys?

5c.
In

how many ways can three people be seated on eight seats in a row?








6
.




0 3



1 2




1


1




Fig.1





Ojo Kofi




Okon




Tobi Abdul


Fig. 2





-
2 4




-
1 1



0



1 0


2

Fig.3


Each of the above diagrams illustrates a mappi
ng from the set A to the set B. Which of
these does not defined a function? Give one reason.
























































MIND BUILDERS HIGH SCHOOL

1
S
T
TERM
SUMMATIVE TEST


(2010/2011 SESSION)



CLASS:
S. S. S. 2


SUBJECT:
PHYSICS


NAME:
----------------
------------------------------------------------------

TIME: 2HOURS



SECTION A


(1)

A ball is thrown vertically upwards from the ground with an initial velocity of 50ms
-
1
. What is the
total time spent by the ball in the air? (g = 10ms
-
2
).

(a)

2.5s (b) 5.0s

(c.) 10.0s (d) 15.0s


(2)

A body accelerates uniformly from rest at the rate of

3ms
-
2

for 8 seconds. Calculate the distance
covered by the body during the acceleration.

(a)

12m (b) 24m (c) 48m (d.) 96m


(3)

Two objects, one having three times the mass of the other, are dropped at the same time from a tall
building. When they are above the g
round the two objects will have the same.

(a)

Momentum (b) Kinetic energy (c) Potential energ
y (d) Acceleration



(4)


When an object is thrown upwards, it experiences a
---------------

or a negative acceleration owning
to the gravitational attraction of the earth
?



(5)


Which of the following is not a vector quantity?

(a)

Momentum (b) Force (c) Velocity (d
.) Temperature


(6)


An example of a scalar quantity is

(a)

Velocity (b.) Weight (c) Electric Charge (d) Accelerat
ion due to gravity


(7)


An aircraft travelled from Calabar

to Kano as follows: it flew first to Ilorin covering a distance of
300km, 30
0
West of North, and then flew 400km, 60
0

East of North to Kano. What is the resultant
displacement?

(a)

567km (b) 410km

(c) 594km (d.) 500km


(8)


A man walks 8km north and then 5km in

a direction 60
0

east of north. Find the distance from his
starting point. (a) 11.36k
m (b) 12.36km (c) 13.00km (d.) 15.36km

(Hint : The cosine rule is applicable)


(9)


The slope of a straight line displacement
-
time graph indicates. (a) distance travelled (b.
) uniform
velocity (c) uniform acceleration (d) acceleration
at an instant


(10)

A man will exert the greatest pressure on a bench when he (a) lies flat on his back (b) lies flats on
his belly. (c) stands on both fee
t (d
.) stands on the toes of one foot.


(11)

W
hat type of motion does the skin of a talking drum perform when it is being struck with the drum
stick? (a.) random (b) rotational(c) vibratory (d) translation
al




(12)

Which of the following colours of surface will radiate heat energy best? (a) red (b) whit
e

(c.) black
(d) yellow


(13)

A particle starts from rest and moves with a constant acceleration of 0.5ms
-
2
.Calculate the time
taken by the particle to cover a distance of 25m. (a) 2.5s (b) 7.1s
(c.) 10.0s (d) 50.0s




(14)

The resultant of two forces F
1

and F
2

will be greatest when the angle between F
1

and F
2

is (a.) 0
0

(b) 90
0

(c) 45
0

(d) 180
0


(15)

Which of the following is not correct about projectile? (a) The motion along the horizontal is
constant. (b) The motion along the vertical varies. (c) It has a vertical downward acceleration. (d.)
The motion carries out one independent motion



(16)

Which of

the following statements about range, time of flight and maximum height of projectile is
correct? (a) Range depends on the angle of projection only. (b) Time of flight is shorter the higher
the velocity of projection (c) Maximum height is the minimum vert
ical distance reached. (d.) Range
is the maximum horizontal distan
ce traversed by projectile.


(17)

A tennis ball is projected with a velocity of 3ms
-
1

at an angle of 30
0

to the horizontal; calculate the
time of flight in seconds. (Take g= 9.8ms
-
2
) (a) 5.2 (b
)

2.6 (c.) 0.3 (d) 0.15



(18)

An aneroid barometer can easily be used as (a) hydrometer (b.) altimeter (c) thermometer (d)
hygrometer



(19)

A hydraulic press works on the principle of transmission of (a) force (b) energ
y (c) volum
e (d.)
pressure


(20)

A man will exert the greatest pressure on a bench when he(a) lies flats on his back (b) lies flat on
his belly (c) stands on both feet (d.) stands on the toes of one foot.




(21)
Which of the following statements about range,
time of flight and maximum height of projectile is
correct? (a) Range depends on the angle of projection only. (b) Time of flight is shorter the higher
the velocity of projection (c) Maximum height is the minimum vertical distance reached. (d.) Range
is th
e maximum horizontal distanc
e traversed by projectile.

(22)

A tennis ball is projected with a velocity of 3ms
-
1

at an angle of 30
0

to the horizontal, calculate the
time of flight in seconds. (Take g= 9.8ms
-
2
) (a) 5.2 (b)

2.6 (c.) 0.3 (d) 0.15

(23)

A stone is t
hrown vertically upwards with speed u, at what time will the stone return to the
starting point. (a) u/g (b.) 2u/g (c) u
2
/g (d) 2u
2
/g

(24)

What is the SI unit of moment? (a) kg (b.) Nm (c)Nm
-
1

(d) Jm
.


10

50 75








50g w

(25)

With reference to the diagram above, find the value of W. (a.) 80g
(b) 50
g (c) 40g (d) 20g.

(26)

The pressure at a point in a liquid depends on (a) density of the liquid (b) density and depth of
the liquid only (c) area and density of liquid (d.) the depth of liquid only (e) are of liquid only.

(27)

An aneroid barometer can easily be u
sed as (a) hydrometer (b.) altimeter (c) thermometer

(d)
hygrometer.

(28)

A hydraulic press works on the principle of transmission of (a) force (b) energy (c) volu
me (d.)
pressure
.

(29)

When a body is performing simple harmonic motion, its acceleration (a) is con
stant (b.) varies
with displacement from equilibrium positions (c) is zero (d) moves irregular
ly with time
.

(30)

The acceleration of a body undergoing a uniform circular motion is given by (a) w
2
x (b) wxr
(c) wr
2

(d) w/r

(31)

When a simple harmonic motion is affec
ted by severe air resist
ance. The motion is said to be
(a.) damped (b) forced motion (c) natural moti
on (d) sinusoidal
.

(32)

The unit of impulse of a force is (a) N (b.) Ns (c) Ns
-
1

(d) Nm
.

(33)

For elastic collision (a) energy is doubled and momentum is halved (b) energy is conserved (c)
momentum is conserved (d.) kinetic energy and momentum are conse
rved
.

(34)

The properties of a body to remain at rest or to continue to move in a straight line, is
known as
(a) fo
rce (b) impulse c.) inertia (d
) velocity.

(35)

A resultant force of 15.00N acts on a body for 4s mass 4kg. Calculate the change in momentum
of the body within this period. (a.) 60Ns (b) 11
Ns (c) 3.5Ns (d) 0.3Ns
.

(36)

A body of mass 40kg is given an

acceleration of 10ms
-
2

on a horizontal ground for which μ =
0.5. Calculate the force required to accelerate the body (take g = 10ms
-
2
) (a) 200N (b)
300N (c)
400N (d.) 600N
.


(37)
An engineer wants to fix a steel washer on to a steel rod. The rod is just too big to fit into the
hole of the
steel rod

washer


How can the engineer fit the washer onto the rod?

(a)
cool the washer and put it over the rod


(b)
cool the washer and rod to the same temperature and push them together

(c)
heat the rod and

then place it in the hole

(d.)
heat the washer and place it over the rod
.

(38)
A man will exert the greatest pressure on a bench when he(a) l
ies flats on his back (b) lies flat on
his belly (c) stands on both feet (d.) stands on the toes of one foot.

(39)
The motion of a body is simple harmonic if the (a) acceleration is always directed toward a fixed
point (b) path of motion is a straight line.(c.)

acceleration is directed towards a fixed and
proportional to its distance from the point(d) acceleration is proportional to the square of the
distance from a fixed point.


(40)
The bent tube used in transferring liquid from one vessel to another is referred t
o as (a) manometer
(b) barometer (c.) siphon(d) syringe







THEORY


ANSWER ANY FOUR

QUESTIONS IN ALL

(1)

a. Define

pressure and state three different instruments used in measuring atmosphere
pressure.

b. A tube whose area of cross
-
section is 5m
2

is loaded with sha
t till its total weight is 32N.
To what depth will it sink in water and what is the density of a liquid to

which it sinks to a
depth of 7.5m? (g = 10m/s
2
)


(2) a. Derive the third equation of motion



b. A motorist, travelling at 120km/hr sees a broken down truck at the middle of the road
and immediately applies his brakes and

comes to a stop with uniform retardation in 20s. What
distance does the car travel after the brakes were applied?


(3)a. Differentiate between vector and scalar quantity


b.
Define (a) distance (b) displacement

(i)
Write 5
differences between distance and displacement

(ii)

What is the distance between point A(9,6) and point B(5,3)


(C)
A motorist, travelling at 120km/hr sees a broken down truck at the middle of the road and

immediately applies his brakes and com
es to a stop with uniform retardation in 20s. What distance does
the car travel after the brakes were applied?

(4a).
Define projectile and give 5 e
xamples of projectiles in every
day life.

b.

A stone is projected upwards at an angle of 30
0

to the horizontal fr
om the top of a tower of
height 100m and it hits the ground at a point Q. If the initial velocity of projection is
100ms
-
1
, calculate the (a) maximum height of the stone above the ground. (b) Time takes to
reach this height,(c) Time of flight.(d) Horizonta
l distance from the foot of the tower to the
point Q.( Neglect air resistance and take g as 10ms
-
2
)

c.

Define pressure and state three different instruments used in measuring atmospheric
pressure.

d.

A tube whose area of cross
-
section is 5m
2

is loaded with shart

till its total weight is 32N.
To what depth will it sink in water and what is the density of a liquid to which it sinks to a
depth of 7.5m? ( g = 10m/s
2
)

5a.

Define the moment of a force

5bi.

(a)
Explain the principle of conservation of linear momentum

5bii.
A machine gun with a mass, 5kg fires a 30g bullet at a speed of 200m/s. What is the recoil
velocity of the machine?

c.


(i
) List and explain types of collisions that we have

(ii
)

Explains

the applications of the laws of momentum


(6a
)
Explain the following (i) simple harmonic motion (ii
) frequency (iii) velocity (iv)
amplitude

6b.

A student found out from a simple pendulum experiment that 20 oscillations were completed in 38
seconds. What is the period of the oscillation of the pendulum
?

6c.

Explain the following (i) Force vibration (ii) resonance.

6d.

When taking a penalty kick, a footballer applies a force of 30N for a period of 0.05secs. If the mass
of the ball is 0..75, calculate the speed with which the ball moves off.

.