national 5 expressions and formulae extended assessment...
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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 ++
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Surds and Indices
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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
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Volume of Solids
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