IGCSE - Revision

Multiple Choice

Make x as the subject of the formula.

• 17 ÷ ( 16d - c )

• ( 17 ÷ 16d ) + c

• 17 ÷ 16d + c

• 17 ÷ 16d² + c²

Multiple Choice

p is inversely proportional to q. Given that p = 15 for a particular value of q. Write down the value of p when the value of q is doubled.

• 7.5 or equivalent

• 8.5 or equivalent

• 6.5 or equivalent

• 9.5 or equivalent

Multiple Choice

ABC is an isosceles triangle. Find three possible values of x.

• 280°, 295°, 310°

• 275°, 300°, 320°

• 250°, 295°, 310°

• 280°, 295°, 320°

Multiple Choice

Solve for x. 

• 3
• 5
• 6
• 8

Multiple Choice

Find $$\frac{dy}{dx}$$  for  $$y=\left(x+5\right)\left(2x-1\right)$$  .

• $$9-4x$$  

• $$4x+9$$  

• $$4x-9$$  

• $$-4x-9$$  

Multiple Choice

Which of the following inequalities matches the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Multiple Choice

Find the vertex of the quadratic:
y = -2x² + 4x + 3

• (0, 3)
• (-1, 5)
• (1, 5)
• (1, -5)

Multiple Choice

Factorise $$16x^5-81xy^2$$ completely

• $$x\left(4x^2+9y\right)\left(4x^2-9y\right)$$

• $$xy\left(4x^2+9\right)\left(2x+3\right)\left(2x-3\right)$$

• $$\left(4x^2+9y\right)\left(4x^2-9y\right)$$

• $$\left(2x+3\right)^2\left(2x-3\right)^2$$

Multiple Choice

Simplify $$\frac{24zt^3}{x^2}\div\frac{8xt}{z}$$

• $$\frac{3z^2t^2}{x^3}$$

• $$\frac{3t^2}{x}$$

• $$\frac{3zt^2}{x}$$

• $$\frac{3t^2}{x^2}$$

Multiple Choice

Write as a single fraction in its lowest terms, $$\frac{\left(3x+4\right)}{x^2+x-6}-\frac{1}{x+3}$$

• $$\frac{2}{x-2}$$

• $$\frac{\left(2x+6\right)}{\left(x+3\right)\left(x-2\right)}$$

• $$\frac{\left(3x+3\right)}{\left(x+3\right)\left(x-2\right)}$$

• $$\frac{\left(2x+2\right)}{\left(x+3\right)\left(x-2\right)}$$

Multiple Choice

$$h\left(x\right)=x^2+2$$  
$$g\left(x\right)=3x-1$$  
Find  $$h\left(g\left(-3\right)\right)$$  

• -98

• 102

• 32

• -22