Fourth Year 6 Hour Test
Surds and Irrational Numbers
1
Simplify
96
2
2
Simplify
3 3−2 2− 3− 2
3
Expand and simplify
2 5−1 2+
4
2
5
3
Rationalise the denominator
2
2
3
5
Rationalise the denominator
3
1+ 3
6
Simplify
3
2
7
− (1 + 2)2
3
4
What is the difference in length between the hypotenuses of two
right-angled triangles, one of which has short sides of 6cm and 4cm,
and the other, which is twice as big?
4