expand and factorise higher homework
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8/19/2019 Expand and Factorise Higher Homework
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Howden School 1
Maths GCSE Higher
Expanding and Factorising Expressions Homework
1. (a) Factorise 2 x + 6
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Answer...............................................................................(1)
(b) Expand 3(4 y + 1)
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Answer...............................................................................(1)
(c) Expand 4 x( x2
+ 5)
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Answer...............................................................................(2)
(Total 4 marks)
2. (a) Expand and simplify 4(2 x – 1) + 3( x + 6)
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Answer ………………………………..
(2)
(b) Expand x2(4 – 2 x)
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Answer ………………………………..
(2)
(Total 4 marks)
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Howden School 2
3. (a) Expand 3( y – 4)
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Answer ....................................................(1)
(b) Simplify the expression
2c + 6d + 4c – 8c
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Answer ....................................................(2)
(c) Factorise x2
+ 5 x
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Answer ....................................................(2)
(d) The triangle has angles x°, 2 x° and 84° as shown.
Find the value of x.
84°
x° 2 ° x
Not drawnaccurately
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Answer .................................................... degrees(3)
(Total 8 marks)
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Howden School 3
4. (a) (i) Multiply out s(s2
+ 6)
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Answer ..................................................................
(2)
(ii) Multiply out and simplify 4( x – 2) + 3( x + 2)
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Answer ..................................................................(2)
(iii) Multiply out and simplify (n + 3)2
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Answer ..................................................................(2)
(b) Factorise completely the following expressions
(i) 2a2 + a
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Answer ..................................................................(1)
(ii) 8 x3 y
2 – 4 xy
3
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Answer ..................................................................(2)
(Total 9 marks)
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Howden School 4
5. (a) Expand and simplify ( x – 3)(2 x + 1)
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Answer ............................................
(2)
(b) Factorise x2 – 7 x – 8
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Answer ............................................(2)
(Total 4 marks)
6. (a) Factorise 5 x2
+ 20 x
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Answer .......................................................................(1)
(b) Factorise x2 – 49
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Answer .......................................................................(1)
(c) Factorise fully (3 x + 4)2 – (2 x + 1)
2
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Answer .......................................................................(3)
(Total 5 marks)
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Howden School 5
7. (a) Simplify (2 x4 y)
3
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Answer .............................................................(2)
(b) Factorise fully 2 x2 – 50 y
2
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Answer .............................................................(3)
(Total 5 marks)