Unit 3 Booklet
Unit 3 Booklet
Unit 3 Booklet
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SPECIMEN ASSESSMENT QUESTIONS<br />
1. Factorise fully:<br />
(a) 12x 2 y (b)<br />
4a Ð 8<br />
(c)<br />
p 3 Ð pq<br />
(d) w 2 Ð 25 (e)<br />
18xy 3 2<br />
p<br />
w Ð 5<br />
2. Simplify:<br />
(a)<br />
v 2 x<br />
36 c<br />
(b) (c) (d) (e)<br />
9 v 5 ¸<br />
2c 2 5<br />
a 3 a p<br />
+<br />
3 5t<br />
Ð<br />
t<br />
q z 2z<br />
a 2 Ð 2a Ð 3<br />
a 2 + 2a + 1<br />
x + 1<br />
2<br />
+<br />
x + 3<br />
3<br />
3. Change the subject of each formula to the letter in the bracket:<br />
a x<br />
(a) p Ð 2q = r [p] (b) aw + g = h [w] (c)<br />
x<br />
=<br />
9<br />
[x] (d) 1 / 4 (m + n) = V [m]<br />
4. Express each of these in its simplest form:<br />
(a) Ö28 (b) 3Ö12 (c)<br />
9<br />
(d) 5Ö18 Ð Ö32<br />
Ö a 4<br />
5. Rationalise the denominators and simplify:<br />
(a) 10 /Ö5 (b) Ö12 p<br />
/Ö2 (c)<br />
Öq<br />
6. Simplify, giving answers with positive indices:<br />
(a) b 5 ¸ b 3 (b) (w 3 ) Ð2 (c) a 2 x a 4 (d) p 1/2 x 3p Ð3/2 (e) v 3 (v 2 Ð v Ð3 )<br />
(f) 8x 1/2 ¸ 4x 5/2<br />
a 3 v 4<br />
7. Evaluate the following for v = 4 and w = 8:<br />
(a) 10v 1/2 (b) 2w 2/3 (c) v Ð1/2 ¸ w Ð1/3<br />
8. Write down the equation of the quadratic functions corresponding to each of the<br />
following parabolas: (each is of the form y = kx 2 or y = ±(x + a) 2 + b).<br />
(a) (b)<br />
y<br />
y<br />
(Ð2,16)<br />
(1,4)<br />
(1,-5)<br />
x<br />
x<br />
(2,-20)<br />
contÕd ...<br />
Mathematics Support Materials: Mathematics 3 (Int 2) Ð Student Materials 35
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