4024 Maths Revision 10

Which of these is the formula for the area of a circle?

• $A\ =\ \pi r^2$

• $A=2\pi r$

• $A=\pi d$

• $A=\frac{1}{2}\pi d^2$

The formula  $A=2\pi rh$  gives you:

• the volume of a sphere

• the curved surface area of a cylinder

• the volume of a cylinder

• the area of a circle

The formula

Area = base x perpendicular height

gives the area of a ....

• trapezium

• kite

• triangle

• parallelogram

The formula for the area of a triangle is:

• $A\ =\ \frac{1}{2}bh$

• $A\ =\ \frac{1}{2}\left(a+b\right)h$

• $A\ =\ \frac{a+b}{2}\times h$

• $A=\frac{1}{2}\pi r^2$

Two versions of the formula for the area of a trapezium are:

• $A\ =\ \frac{1}{2}bh$

• $A\ =\ \frac{1}{2}\left(a+b\right)h$

• $A\ =\ \frac{a+b}{2}\times h$

• $A=\frac{1}{2}\pi r^2$

When using the quadratic formula to solve

 $2x^2-3x+4=0$  

•  $a=2,\ b=3,\ c=4$  

•  $a=-2,\ b=-3,\ c=4$  

•  $a=2,\ b=-3,\ c=-4$  

•  $a=2,\ b=-3,\ c=4$  

The cosine rule is:

• 
  $\frac{a}{\cos\ A}=\ \frac{b}{\cos B}=\frac{c}{\cos\ C}$
  

• $a^2=b^2+c^2-2bc\cos A$

• $a^2=b^2-c^2+2ab\cos C$

• $\cos A=\frac{b}{c}$

One version of the sine rule is:

• $a^2=b^2+c^2-2bc\sin A$

• $\frac{a}{\sin A}=\ \frac{b}{\sin B}=\ \frac{c}{\sin C}$

• $\sin A=\frac{b}{c}$

• $\frac{a}{\sin A}=\ \frac{\sin B}{b}$

SohCahToa can be used for...

• any triangle

• any triangle where you know two of the sides

• any right-angled triangle

• only when you know the hypotenuse and one other side

Which of these is Pythagoras' Theorem?

• $a^2=\left(b+c\right)^2$

• $a^2=b^2+c^2$

• $a=b+c$

• $a^2=bc^2$