Answers - Pearson Global Schools
Answers - Pearson Global Schools
Answers - Pearson Global Schools
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Mathematics B<br />
Exercise 133* (Revision)<br />
1 a x 5 4 y 5 4, y 5 x 2 b x 5 2 y 5 9, y 5 2x 1 1<br />
2 22 → 24 it is a function {range 24, 22, 4}<br />
21 → 22<br />
20 → 24<br />
21 → 22<br />
22 → 24<br />
3 Many possible answers<br />
4 tetrahedron → 4, cube → 6, octahedron → 8, triangular prism → 5,<br />
dodecahedron → 12, it is a function, each value of x has a unique value of y,<br />
this is always true<br />
5 a not function<br />
b function, each value of x has a unique value of y<br />
6 a 64 b 63 c 0<br />
7 a 3, 22 b 8, 27<br />
8 a 4 2 2x b 7 2 2x<br />
<br />
<br />
<br />
<br />
<br />
9 a x 5<br />
4_<br />
3 b x 5 22 c x , 2 2_<br />
5 d 23 , x , 3<br />
10 a f(x) > 3 b g(x) > 0 c h(x) ∈ > 0 d f(x) ∈ <br />
1<br />
11 a (i)<br />
_______<br />
1<br />
(x 2 8) 3 (ii)<br />
______<br />
x 3 2 8 <br />
b (i) x 5 8 (ii) x 5 3 √ __<br />
8 <br />
x 2 8<br />
c<br />
_______<br />
65 2 8x <br />
12 a p 21 (x) 5<br />
1__<br />
2 ( 1 2<br />
x__<br />
4 ) b q 21 3<br />
(x) 5 4 2<br />
_____<br />
2 2 x <br />
c r 21 (x) 5<br />
1__<br />
2 (x2 1 3)<br />
<br />
<br />
d s 21 (x) 5 __<br />
√ x 1 2<br />
13 a x b p(x) is the inverse of q(x), p(x) 5 q 21 (x)<br />
c √ __ 7 <br />
Exercise 134<br />
1 100° 2 30° 3 45° 4 10°<br />
5 280° 6 140° 7 60° 8 60°<br />
9 ADB and BCA are angles in the same segment<br />
10 ABC 1 ADC 5 180°<br />
Exercise 134*<br />
1 140° 2 60° 3 110° 4 54°<br />
5 76° 6 22° 7 3x 8 Correct proof<br />
9 BEC 5 CDB (angles in the same segment), so CEA 5 BDA<br />
10 Correct proof<br />
Exercise 135<br />
1 70° 2 30° 3 80°<br />
4 30° 5 100°<br />
6 a 90° b 60° c 60° d 60°<br />
7 a NTM 5 NPT (Alternate segment)<br />
b PLT 5 NTM (Corresponding angles)<br />
8 a
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