CHAPTER 1n2
Transcript of CHAPTER 1n2
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CHAPTER 1 : STANDARD FORM
EXERCISE 2
1. Round off each of the following numbers to 3 significant figures.
(a) 2963 = __________________
(b) 51852 = __________________
2. Round off 71.65 to
(a) 3 Significant figures = __________________
(b) 1 Significant figures = __________________
3. Round off 0.06053 to
(a) 3 Significant figures = __________________
(b) 2 Significant figures = __________________
(c) 1 Significant figures = __________________
4. Express each of the following numbers in standard form
(a) 48000 = ___________________
(b) 9200.05 = ___________________
(c) 0.026 = ___________________
(d) 0.00000038 = ___________________
5. Convert the following numbers in standard form to a single number.
(a) 2.19103 = ___________________
(b) 8.2104 = ___________________
6. Evaluate each of the following and express your answers in standard
form.
(a) 16000000 + 2500000 = ____________________
(b) 0.69 + 10.451 = ____________________
7. Evaluate each of the following and express your answers in standard
form.
(a) 920000 87000 = ____________________
(b) 0.043 0.00095 = ____________________
8. Evaluate each of the following and express your answers in standard
form.
(a) 4.8 700 = ____________________
(b) 0.0029 0.065 = ____________________
9. Evaluate each of the following and express your answers in standard
form.
(a) 48.6 0.03 = ____________________
(b) 0.000096 0.04 = ____________________
10. Given that the mass of a carbon atom and an oxygen atom are
21023 g and 2.7 1023 g respectively, one molecule of carbon dioxide
gas consist of one carbon atom and two oxygen atoms. Calculate the
mass in gram, of one molecule
of carbon dioxide gas.
Answer : _________________
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CHAPTER 1 : STANDARD FORM
DIAGNOSTIC TEST
1. Round off 0.0487 correct to two significant
figures.
A 0.04
B 0.05
C 0.048
D 0.049
2. 2.7 105 + 77000 =
A 1.04 105
B 1.04 109
C 3.47 105
D 3.47 109
3. The area of a rectangular plot of land is 9.2
km2. Its width is 2300 m. Find the length,
in m, of the plot of land.
A 4 103
B 4 104
C 6.9 103
D 6.9 104
4. Express 0.0000405 in standard form.
A 4.05 10-5
B 4.05 105
C 405 10-7
D 405 107
5.
A 2 32103
B 2 32104
C 58103
D 58104
6. 534107 3 7 108 =
A 1
64108
B 1 64107
C 4 97 108
D 4 97107
7. Round off 0.07207 correct to three
significant figures.
A 0.07
B 0.072C 0.0720
D 0.0721
8. Round off 80725 correct to three significant
figures.
A 80700
B 80720
C 80730
D 80800
9. Express 9.9263106 as a single number.
A 0.009263
B 0.0009263
C 0.00009263
D 0.000009263
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A 5103
B 5104
C 5108
D 5109
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CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS
EXERCISE 1 :
Expand :
1. (x - 8) (x + 3) Answer :
2. (x + 3) (x 3) Answer :
3. m(x + y) (x + y) Answer :
4. (2x 1) (x + 3) Answer :
5. 4( x2 2 ) x( 5x + 1 ) Answer :
6.2x( x 3 ) + 4x( x 6 ) Answer :
7. (x 8 )( 2x + 5 ) Answer :
8. ( 3u 2s )( u s ) Answer :
9. x( 5 x ) 4x2 Answer :
10. 9 ( u 3)( u + 2 ) Answer :
EXERCISE 2
Expand :
1.(2p q)2
p(p q) Answer :.
2. (p q)2 (p2 q2) Answer :.
3. (3f + g)(2f g) g2 Answer :.
4. (6h + k)(k 3h) + (h2 k2) Answer :.
5. 2x(x 1) + (2x + 1)2 Answer :.
6. p( p 4q ) ( 2p q )2 Answer :.
7. ( x 5 )2 ( x + 3 )2 Answer :.
8. ( 3x 1 )2 5( x + 1 ) Answer :.
9. ( a + 4 )2 64a Answer :.
10. ( k 2m )2 ( m2 4k2 ) Answer :.
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CHAPTER 2 : QUADRATIC
EXPRESSIONS AND EQUATIONS
DIAGNOSTIC TEST
1. (2p + q) ( q 2p) =A. 4p2 q2
B. q2 4p2
C. 4p2 4pq q2
D. 4p2 4pq + q2
2. (3m n) (2m n) =
A. 6m2 mn + n2
B. 6m2 7mn n2
C. 6m2 7mn + n2
D. 6m2 5mn + n2
3. (x + 5y) 2 5xy =
A. x2 + 25y2
B. x2 + 5xy + 25y2
C. x2 5xy + 25y2
D. x2 10xy + 25y2
4. (x + y) 2 + (x2 y2) =
A. 2x2 + 2xy
B. 2x2 2xy
C. 2x2 + 2xy 2y2
D. 2x2 2xy + 2y2
5. ( 3h 5 )( 2h + 4 ) =
A 6h2
+ 2h + 20B 6h2 + 2h 20
C 6h2 +12h 20
D 6h2 10h + 20
6. m( m 2 ) 2m( m + 3 ) =
A m2 8m
B m2 + 8m
C -m2 + 4m
D m2 6m
7. ( 3p m )( p 4m ) =
A 3p2 + 4m2
B 3p2 + 11mp 4m2
C 3p2 13mp 4m2
D 3p2 + 12mp + 4m2
8. ( p + q ) 2 ( 2p2 q2 ) =
A p2 + 2q2
B p2 + 2pq
C p2
D p2 + 2pq + 2q2
9. ( f 2 )( f + 1 ) + ( 2f 3 ) =
A f22 2f
B f2
+ f 1C f2 + f 5
D f2 5
10. 3x( x 2y ) ( 2x y ) 2 =
A 3x2 + 10x + y2
B x2 2xy y2
C x2 10xy y2
D x2 + 2xy + y2
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CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS
EXERCISE 1
1. Factorise completely p2 - 2p
2. Factorise completely 4 x2 81
3. Factorise completely r2 4r 12.
4. Solve the quadratic equation k( k 12 ) + 20 = 0
5. Express the area of the triangle in terms of x.
( 4x +1 ) cm
6x cm
EXERCISE 2
1. Solve the quadratic equation 3b ( 2b + 1 ) = 4 2b
2. Factorise completely 6 - 17 x - 14 x2
3. Solve the equation 15
322
=
w
w
4. Solve the value of m for ( )( )
3
22
+=+
m
mm
5. Johan is 3 years older than his sister Aishah and the product of
their age is 18. Find the age of Johan.
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CHAPTER 2 : QUADRATIC EXPRESSIONS AND
EQUATIONS
DIAGNOSTIC TEST
1. Solve the 03
2=
yy
2. Solve the quadratic equation31
62
2
+= yy
3. Solve the equation3
1
3
322
=
y
y
4. Solve the quadratic equation 52
11 22
+=
xxx
5. The diagram shows a right-angled triangle ABC. A(a) Form an equation in terms of x using Teorem Phytogoras andshow that x2 6x = 0.
(b) Hence, find the length of AC.
A 2x cm C
9 cm
( x+ 9 ) cm
B