Free Printable IGCSE Maths Formulae

1.

What is the formula for the area of a rectangle? Check all the correct answers

a)

b x h

b)

h x h

c)

h x b

d)

I don't know

2.

What is the area of a right-angled triangle?

a)

$\frac{b\times h}{2}$

b)

b x h x 2

c)

l x w

d)

$\frac{1}{2}\times b\times h$

3.

What is the area of a parallelogram?

a)

l x w

b)

b x h

c)

h x w

d)

?

4.

What is the area of a circle?

a)

$2\pi r$

b)

$2\pi$

c)

$\pi r^2$

d)

$\pi^2r$

5.

What is the formula for the area of sector of a circle?

a)

$\frac{\theta}{360}\times\pi$

b)

$\frac{\theta}{360}\times2\pi r$

c)

$\frac{\theta}{360}\times\pi^2r$

d)

$\frac{\theta}{360}\times\pi r^2$

6.

What is the formula for the area of a trapezium?

a)

$\frac{a+b}{2}\times h$

b)

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

c)

$\frac{2\left(a+b\right)}{h}$

d)

$\frac{\left(a+b\right)}{2}$

7.

What is the volume of a cuboid?

a)

$a\times b\times c$

b)

$l\times w\times h$

c)

$b\times w\times w$

8.

What is the formula for the volume of a prism?

a)

$CS\ \times h$

b)

$CS\ \times l$

c)

$l\times w\times h$

9.

Volume of a Pyramid

a)

$\frac{1}{2}\times CS\times l$

b)

$\frac{1}{2}\times l\times w\times h$

c)

$\frac{1}{3}\times l\times w\times h$

d)

$\frac{1}{3}\times CS\times l$

10.

Volume of a cylinder

a)

$\pi r^2$

b)

$\pi r^2h$

c)

$\pi^2hr$

d)

$\pi\times\frac{1}{2}\times r^2$

11.

Volume of a cone?

a)

$\frac{1}{2}\pi r^2$

b)

$\frac{1}{2}\pi r^2h$

c)

$\frac{1}{3}\pi r^2h$

d)

$\frac{1}{3}\pi r^2$

12.

Volume of a sphere

a)

$\frac{1}{4}\pi r^2$

b)

$\frac{1}{3}\pi r^3$

c)

$\frac{4}{3}\pi r^3$

d)

$\frac{4}{3}\pi r^2h$

13.

Surface area of a cuboid?

a)

$\left(l\times w\right)+\left(w\times h\right)+\left(l\times h\right)$

b)

$2\times\left(l\times w\right)+2\times\left(w\times h\right)+2\times\left(l\times h\right)$

c)

$b\times h$

d)

$l\times w\times h$

14.

Surface area of a cylinder?

a)

$2\pi r^2+2\pi rh$

b)

$\pi r^2+2\pi rh$

c)

$\pi r^2+\pi rh$

d)

$\frac{1}{2}\left(\pi r^2+\pi rh\right)$

15.

Surface area of a cone?

a)

$2\pi rl+\pi r^2$

b)

$\frac{1}{3}\left(\pi rl+\pi r^2\right)$

c)

$\pi rl+\pi r^2$

d)

$\pi rl+2\pi r^2$

16.

Surface area of a sphere?

a)

$\frac{4}{3}\pi r^2$

b)

$2\pi r^2$

c)

$4\pi r^3$

d)

$4\pi r^2$

17.

Interior angles in a polygon?

a)

$\left(n-2\right)\times360$

b)

$\left(n-2\right)\times180$

c)

$\left(n\right)\times180$

d)

$360$

18.

Sum of the exterior angles in a polygon?

a)

0

b)

180

c)

360

d)

720

19.

What is the quadratic formula?

a)

$\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

b)

$\frac{b\pm\sqrt{b^2-2ac}}{4a}$

c)

$\frac{-b+\sqrt{b^2-4ac}}{2a}$

d)

$\frac{-b\pm\sqrt{b^2-ac}}{a}$

20.

What is the formula for completing the square?

a)

$\left(x+\frac{b}{2}\right)^2+\left(\frac{b}{2}\right)^2+c$

b)

$\left(x+\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2+c$

c)

$\left(x+b\right)^2-\left(b\right)^2+c$

d)

$\left(x+\frac{b}{2}\right)^3-\left(\frac{b}{2}\right)^2+c$

21.

SOH stands for

a)

$\sin x=\frac{H}{O}$

b)

$\sin x=\frac{O}{H}$

22.

CAH stands for

a)

$\cos x=\frac{A}{H}$

b)

$\cos x=\frac{H}{A}$

23.

TOA stands for

a)

$\tan x=\frac{A}{O}$

b)

$\tan x=\frac{O}{A}$

24.

The Sine rule is

a)

$\sin x=\frac{O}{H}$

b)

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

c)

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

d)

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

25.

The Cosine rule is

a)

$\cos A=\frac{b^2+c^2-a^2}{2bc}$

b)

$\cos x=\frac{A}{H}$

c)

$a^2=b^2+c^2-2bc\cos A$

26.

Area of a non-right angled triangle

a)

$\frac{1}{2}\times b\times h$

b)

$\frac{1}{2}ab\sin A$

c)

$\frac{1}{2}ab\sin C$

d)

$\frac{1}{2}bc\sin B$

27.

Compound interest

a)

$FV=PV\left(1xr\right)^n$

b)

$FV=PV\times\left(1+r\right)^n$

c)

$FV=PV+\left(1\times r\right)^n$

28.

Gradient from two points

a)

$m=\frac{y_2-y_1}{x_2-x_1}$

b)

$m=\frac{run}{rise}$

c)

$x_2-x_1$

d)

$m=\frac{x_2-x_1}{y_2-y_1}$

29.

Equation of a straight line

a)

$y=cx+m$

b)

$x+y=mc$

c)

$y=mx+c$

d)

$x=ym+c$

30.

Parallel gradients are the...

a)

same

b)

different

c)

$\frac{-1}{m}$

d)

-m

31.

Perpendicular gradients are the...

a)

same

b)

different

c)

$\frac{-1}{m}$

d)

-m

32.

The length of a line is...

a)

$a^2+b^2=c^2$

b)

$\left(\frac{x}{2},\frac{y}{2}\right)$

c)

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

d)

$\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$

33.

The midpoint of a line is...

a)

$\left(\frac{x}{2},\frac{y}{2}\right)$

b)

$\left(\frac{x+y}{2},\frac{y+x}{2}\right)$

c)

$\left(\frac{x_2-x_1}{2},\frac{y_2-y_1}{2}\right)$

d)

$\left(\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}\right)$

34.

Magnitude of a vector

\left(\frac{x}{y}\right)

(Imagine the fraction line isn't there!!!)

a)

$\sqrt{x^2+y^2}$

b)

$x^2+y^2$

c)

$a^2+b^2$

d)

$\sqrt{a^2+b^2}$

35.

Frequency density =

a)

$\frac{frequency}{density}$

b)

$\frac{frequency}{class\ width}$

c)

$\frac{class\ width}{frequency}$

36.

Pythagoras' Theorem is

a)

$a^2+b^2=c^2$

b)

$a^2+b^2=c$

c)

$a+b=c$

d)

$c-a-b$

37.

Percentage change is

a)

$old\ -new\ \times100$

b)

$\left(new-old\right)\times100$

c)

$\frac{new-old}{old}\times100$

d)

$\left|\frac{new-old}{old}\right|\times100$

38.

Circumference of a circle

a)

$\pi r^2$

b)

$2\pi r^2$

c)

$2\pi r$

d)

$\pi r$

39.

Length of an arc...

a)

$360\times2\pi r$

b)

$\frac{\theta}{360}\times2\pi r$

c)

$\frac{360}{\theta}\times\pi r^2$

d)

$\frac{\theta}{360}\times\pi r^2$

40.

Direct proportion is

a)

$x\propto ky$

b)

$x\propto\frac{k}{y}$

c)

$y\propto kx$

d)

$y\propto\frac{k}{x}$

IGCSE Maths Formulae

Total questions: 40

Worksheet time: 21mins

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