8/7/2019 CHAPTER 1n2

1/6

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 : _________________

8/7/2019 CHAPTER 1n2

2/6

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

10

A 5103

B 5104

C 5108

D 5109

8/7/2019 CHAPTER 1n2

3/6

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 :.

8/7/2019 CHAPTER 1n2

4/6

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

8/7/2019 CHAPTER 1n2

5/6

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.

8/7/2019 CHAPTER 1n2

6/6

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