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SKILLS CHECK

Name :

Simplify $6 \sqrt{3} + \sqrt{12}$

Simplify $7 \sqrt{2} + \sqrt{8}$

Find the vertex of the graph of y = $x^{2} + 8 x + 14$

Find the vertex of the graph of y = $x^{2} - 2 x + 5$

$v^{2} = u^{2} + 2 a s$
$u = 4, v = 2, s = 2$ , $a = ?$

$v^{2} = u^{2} + 2 a s$
$u = 13, v = 7, s = 12$ , $a = ?$

Expand and simplify $(x + 3) (x - 1) (x - 3)$

Expand and simplify $(x + 2) (x - 3) (x + 4)$

Write down the exact value of $t a n 60 °$

Write down the exact value of $c o s 30 °$

Area = 3.5m², pressure = 60 N/m², force = ?

Force = 142.5N , pressure = 15 N/m², area = ?

$f (x) = 3 x^{3} + x^{2}$ . Find the value of $f (1)$

$f (x) = 4 x^{3} + 2 x^{2} - x - 2$ . Find the value of $f (- 5)$

The nth term of an sequence is $\frac{6 n - 7}{7 n + 5}$ . What is the $7 t h$ term?

The nth term of an sequence is $\frac{2 n + 2}{2 n^{2} + 4}$ . What is the $6 t h$ term?

Work out $(6 \times 10^{6}) \times (9.7 \times 10^{4})$

Work out $(7.2 \times 10^{10}) \div (6 \times 10^{4})$

Solve the simultaneous equations $7 x + 3 y = 1$ and $5 x + 4 y = - 3$

Solve the simultaneous equations $5 x - 2 y = 24$ and $2 x + 3 y = 2$

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ANSWER SHEET

Question 1

Simplify

6 \sqrt{3} + \sqrt{12}

8 \sqrt{3}

Question 2

Simplify

7 \sqrt{2} + \sqrt{8}

9 \sqrt{2}

Question 3

Find the vertex of the graph of y =

x^{2} + 8 x + 14

(- 4, - 2)

Question 4

Find the vertex of the graph of y =

x^{2} - 2 x + 5

(1, 4)

Question 5

v^{2} = u^{2} + 2 a s

u = 4, v = 2, s = 2

a = ?

- 3

Question 6

v^{2} = u^{2} + 2 a s

u = 13, v = 7, s = 12

a = ?

- 5

Question 7

Expand and simplify

(x + 3) (x - 1) (x - 3)

x^{3} - x^{2} - 9 x + 9

Question 8

Expand and simplify

(x + 2) (x - 3) (x + 4)

x^{3} + 3 x^{2} - 10 x - 24

Question 9

Write down the exact value of

t a n 60 °

\sqrt{3}

Question 10

Write down the exact value of

c o s 30 °

\frac{\sqrt{3}}{2}

Question 11

Area = 3.5m², pressure = 60 N/m², force = ?

f o r c e = 210 N

Question 12

Force = 142.5N , pressure = 15 N/m², area = ?

9.5 m^{2}

Question 13

f (x) = 3 x^{3} + x^{2}

. Find the value of

f (1)

4

Question 14

f (x) = 4 x^{3} + 2 x^{2} - x - 2

. Find the value of

f (- 5)

- 447

Question 15

The nth term of an sequence is

\frac{6 n - 7}{7 n + 5}

. What is the

7 t h

term?

\frac{35}{54}

Question 16

The nth term of an sequence is

\frac{2 n + 2}{2 n^{2} + 4}

. What is the

6 t h

term?

\frac{7}{38}

Question 17

Work out

(6 \times 10^{6}) \times (9.7 \times 10^{4})

5.82 \times 10^{11}

Question 18

Work out

(7.2 \times 10^{10}) \div (6 \times 10^{4})

1.2 \times 10^{6}

Question 19

Solve the simultaneous equations

7 x + 3 y = 1

and

5 x + 4 y = - 3

x = 1, y = - 2

Question 20

Solve the simultaneous equations

5 x - 2 y = 24

and

2 x + 3 y = 2

x = 4, y = - 2