Basic Pure Maths Questions

Simplify

 $\sqrt{112}$  

•  $4\sqrt{7}$  

•  $56\sqrt{2}$  

•  $12$  

•  $28\sqrt{4}$  

Evaluate

 $x^0$  

• 0

• 1

• -1

• 0.5

Factorise 

 $2x^2-x-3$  

• (x + 1)(2x - 3)

• (x - 1)(2x + 3)

• (2x + 1)(x - 3)

• (x + 1)(2x + 3)

Solve the inequality

 $2x-5>3x-4$  

•  $\times<-1$  

•  $x>-9$  

•  $-x>-9$  

•  $x>9$  

Rationalise the denominator of

 $\frac{6}{\sqrt{2}}$  

•  $\frac{6\sqrt{2}}{2}$  

•  $3\sqrt{2}$  

•  $4\sqrt{2}$  

•  $3$  

How many roots does the graph of

 $x^2-4x+2$  have?

• 0

• 1

• 2

• 3

Evaluate

 $\left(\frac{64}{27}\right)^{-\frac{1}{3}}$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

•  $1\frac{1}{3}$  

•  $\frac{9}{16}$  

If  $4^{\left(3y-6\right)}=8^y$ , find the value of y.

• 4

•  $\frac{12}{7}$  

• 6

•  $\frac{6}{5}$  

 $Write\ 2x^2+8x-4$  in the form  $a\left(x+b\right)^2+c$  

• a= 2 , b = 4, c = -6

• a = 1, b = 2, c = -6

• a = 0, b = 2, c = -6

• a =1, b = -2, c = 6

A line passes through the points A(10, 3) and B(2, 7). Find the midpoint of AB

• (6, 5)

• (4, 2)

• (6, -5)

• (10, 5)