4024 Maths Revision 2

Evaluate $0.7-0.1\times3$  

(a)  

Ali and Ben share $30 such that

Ali's share : Ben's share = 3 : 2

Calculate Ali's share

(a)  

Exactly 9 litres of liquid filled 60 identical bottles.

How many litres filled 40 of these bottles?

(a)  

Exactly 9 litres of liquid filled 60 identical bottles.

How many of these bottles are filled using 750 ml of liquid?

(a)  

It is given that  $f\left(x\right)=\frac{3+x}{2}$  .
Find  $f\left(-3\right)$  

(a)  

It is given that  $f\left(x\right)=\frac{3+x}{2}$  .
Find  $f^{-1}\left(x\right)$  

•  $2x+3$  

•  $x-3$  

•  $x-\frac{3}{2}$  

•  $2x-3$  

Calculate  $\left(7\times10^{-3}\right)\times\left(3\times10^9\right)$  

giving your answer in standard form

•  $21\times10^6$  

•  $2.1\times10^7$  

•  $2.1\times10^{-7}$  

•  $21\times10^{-6}$  

 $2\left(4-x\right)<x-10$  

Solve the inequality

•  $x>6$  

•  $x<6$  

•  $2<x$  

•  $2>x$  

 $3n>-17$  

Find the smallest integer n such that

(a)  

Each interior angle of a regular polygon is p times each exterior angle. Find an expression, in terms of p, for an exterior angle.

• $\left(p-2\right)180$

• $\frac{360}{p}$

• $\frac{180}{p+1}$