Page 110 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 5.11

2. n = 55 3. 27 4. r = 7

FOR ONLINE READING ONLY
( )
5
9
( ) 1
−
5. (a) C − r 2 18 3r− y 92r (b) C2y 5 r −   1 −  r
r 5 92r r  y 
−
s
−
−
(c) ( ) 1− r 12 C y 24 3r (d) ( ) 1− r 6 C t 12 2rr
r
r
8. p = 3, q = 5, n = 6
1

9. (a) 15 C 10  5 (b) 45 (c) 17 (d) 3432−
6
 54
10. (a) 14 (b) 16−
Partial fractions
Teaching steps
1. Guide students in groups to discuss the concept of partial
fractions by relating it to arithmetic fractions and rational
expression. Ask students to discuss how to form fractions.
Encourage students to explore additional resources, such as
online tutorials or reference books.
2. Guide students to discuss the decomposition of rational
functions whose denominators consist of non-repeated linear
factors. Use Example 5.66 in the Student’s Book to assist
students in expressing the rational expression as a sum of
partial fractions.
3. Use Think-Ink-Pair-Share strategy to discuss the decomposition
of rational functions whose denominators consist of non-
repeated irreducible quadratic factors. Use Example 5.67
to assist students to write the rational expression into partial
fractions.

104
Mathematics for Advanced Secondary Schools

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