Free Printable F2 C2 Factorisation and Algebraic Fractions

1.

Based on the diagram above, write the area of:

Berdasarkan rajah di atas, tulis luas bagi:

Area of A = _____ units²

Area of B = _____ units²

Area of C = _____ units²

Area of D = _____ units²

(a)

2.

Expand/ kembangkan $5x\left(3-2xy\right)$ .

a)

$8x-7x^2y$

b)

$15x-10x^2y$

c)

$15x-2xy$

d)

$8x-10x^2y$

3.

Mark '✓' for the correct for the following expansion.
Tandakan ‘✓’ bagi betul untuk kembangan berikut.

a)

$7m\left(p-3mn\right)\ =\ 7m-21mn$

b)

$\left(k+3\right)\left(5k-6\right)=5k^2+9k-18$

c)

$\left(4x+3\right)^2=16x^2+12x+9$

d)

$\left(2p-3\right)^2=4p^2-12p+9$

4.

Simplify $(f+2h)^2–3(2f–3h)^2=$

a)

$13f^2-32fh+31h^2$

b)

$-11f^2+40fh-23h^2$

c)

$-13f^2+20fh-23h^2$

d)

$11f^2+20fh-23h^2$

5.

Factorise completely the $15mn^2\ –\ 40n^3p$ .
Can choice 2 answers.

a)

$5n^2\left(m\ –\ 8np\right)$

b)

$-5n^2\left(-m+8np\right)$

c)

$5n\left(3mn\ –\ 8n^2p\right)$

d)

$15n^2\left(m\ –\ 3np\right)$

6.

What value should be in each box if you need to factorize
$x^2-8x+16$ ?

a)

$p=x^2,\ q=+8x,\ r=+16$

b)

$p=x^2,\ q=+16,\ r=+8x$

c)

$p=x^2,\ q=+16,\ r=-8x$

d)

$p=x^2,\ q=-8x,\ r=+16$

7.

Factorise: $4xw\ +\ 12xz\ -\ 3wy-\ 9yz$

a)

$\left(4x+3y\right)\left(w-3z\right)$

b)

$\left(4x+3y\right)\left(w+3z\right)$

c)

$\left(4x-3y\right)\left(w+3z\right)$

d)

$\left(4x-3y\right)\left(w-3z\right)$

8.

Simplify $\frac{2p+4}{p^2-4}$

a)

$\frac{2}{p-2}$

b)

$\frac{p}{p-2}$

c)

$\frac{2}{2-p}$

d)

$\frac{p}{p-2}$

9.

Express $\frac{3s^2-5}{s}-\frac{2s+9}{7}$ as a single fraction in its simplest form

a)

$\frac{19s^2-9s-35}{7s}$

b)

$\frac{19s^2-9s-35}{s}$

c)

$\frac{3s^2-2s-14}{s}$

d)

$\frac{3s^2-2s+4}{s}$

10.

Express $\frac{2h+3k}{15hk}\div\frac{6h+4k}{25k^2}$ as a single fraction in its simplest form.

a)

$\frac{5k}{6h}$

b)

$\frac{5\left(2h\ +\ 3k\right)}{6\left(3h\ +\ 2k\right)}$

c)

$\frac{5k\left(2h\ +\ 3k\right)}{2h\left(3h\ +\ 2k\right)}$

d)

$\frac{5k\left(2h\ +\ 3k\right)}{6h\left(3h\ +\ 2k\right)}$

F2 C2 Factorisation and Algebraic Fractions

Total questions: 10

Worksheet time: 6mins

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