Free Printable MA1022 Week 12

1.

Select the correct rearrange of Pythagoras' theorem to find the length of side b on the above triangle:

a)

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

b)

$b=\sqrt{c^2-a^2}$

c)

$b=c-a$

d)

$b=\sqrt{c^2}-\sqrt{a^2}$

2.

For a line with a gradient of 1 $\left(m=1\right)$ , and a y-intercept of 2, what is the x-intercept? (Hint: sketch the line)

(a)

3.

Find the missing length for the right-angled triangle above, which has a hypotenuse of 15 and one side length of 12.

(a)

4.

For a TV with a diagonal measurement of 100cm, if the base is 80cm long, what is the height of the TV?

(a)

5.

True/False: A triangle with side lengths of 4, 5 and 6 is a right-angled triangle?

a)

True

b)

False

6.

Pythagoras' theorem holds for what type of triangles?

a)

All triangles

b)

Right-angled triangles

c)

Equilateral triangles

7.

What is the midpoint between the two points $\left(-2,4\right)$ and $\left(4,-2\right)$ ?

a)

$\left(1,1\right)$

b)

$\left(6,6\right)$

c)

$\left(2,2\right)$

8.

Find the gradient of the line in the figure. The line has a y-intercept of 4 and an x-intercept of 3.

a)

$\frac{4}{3}$

b)

$-\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

9.

Find the gradient of the line that passes through the points $\left(2,-2\right)$ and $\left(-1,4\right)$

(a)

10.

For a line that goes through the points $\left(2,4\right)$ and $\left(-4,8\right)$ , which of the following represents how to calculate the gradient:

a)

$m=\frac{8-4}{-4-2}$

b)

$m=\frac{-4-2}{8-4}$

c)

$m=\frac{8-\left(-4\right)}{4-2}$

d)

$m=\frac{8-2}{-4-4}$

MA1022 Week 12

Total questions: 10

Worksheet time: 50mins

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