National 5 Expressions and Formulae Extended Assessment Revision

Multiplying Out Brackets and Factorising

1. Multiply out the brackets and collect like terms:

(a) )14)(3( 2 −+− xxx (b) )132)(4( 2 −++ xxx (c) )124)(3( 2 −++ xxx

(d) )14)(32( 2 −+− yyy (d) )45)(13( 2 +−+ xxx (f) )52)(23( 2 ++− xxx

2. Factorise:

(a) 1522 −+ xx (b) 62 −+ yy (c) 872 −− xx (d) 1252 2 −− pp

(e) 232 2 −+ xx (f) 62 2 −+ xx (g) 2235 qq −− (h) 21124 ss +−

(i) 5136 2 ++ mm (j) 61110 2 −− dd (k) 16189 2 −+ pp (l) 251520 aa −−

3. Factorise:

4. Write each expression in the form ( ) :2 qpx ++

 

Surds and Indices

2.

3.

2. Express in its simplest form:

(a) ( ) 328 −× kk (b) 2

123

26 xx ÷ (c) bbb 23

21

× (d) 2

5 23a

aa ×

(e) ⎟⎟⎠

⎞⎜⎜⎝

⎛+

−aaa 2

12 2 (f) ⎟

⎟⎠

⎞⎜⎜⎝

⎛−

−32

32

32

aaa (g) ⎟⎟⎠

⎞⎜⎜⎝

⎛− 22

121

aa (h) ( )221

3 −+ xxx

Algebraic Fractions

Circle : Length of an Arc and Area of a Sector

1.

2.

3.

Volume of Solids

4.

1  

2.

3.  

4.  

5.