2010amathsprelimp1solution
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2010AMathsPrelimP1SolutionTRANSCRIPT
Tanjong Katong Secondary School A Maths Sec 4 Prelims 2010 Paper 1 Solution
No. Solutions1.
Ans:
2a.When and
When and
b. …………….(I) …….(II)
Solving Simultaneously,
3a.
3b Let one of the roots be and the other .sum of roots =
1
Tanjong Katong Secondary School A Maths Sec 4 Prelims 2010 Paper 1 Solution
No. Solutions4a.
, when
Gradient of normal = 3,
Eqn of normal:
b.
=
5. , where .
or
or
or (na)
6a.When ,
6b.
Let
2
Tanjong Katong Secondary School A Maths Sec 4 Prelims 2010 Paper 1 Solution
No. Solutions or
The other solution is 7a.
Sub ,
Comparing coeff of ,
Sub ,
7b.dx
= dx
=
= 0.599
8a.
when
cm/s
8b.
3
Tanjong Katong Secondary School A Maths Sec 4 Prelims 2010 Paper 1 Solution
No. Solutions
= 628.3 cm3/s
9a.when initial population
9b.when ,
When ,
= 2457expected no. of snails after 7 yrs = 2460
9c.
no. of years needed = 9 years10a. Let
-------(I)
-------(II)(I) + (II):
sub ,
=
4
Tanjong Katong Secondary School A Maths Sec 4 Prelims 2010 Paper 1 Solution
No. Solutions10b.
2 real and distinct rootsthe number of real roots of the equation = 2
11a.
11b.
Coordinates of stationary pt:
Nature of point: min. turning point
c.
Range of x:
12a. Amplitude = 3
Period =
5
1
Tanjong Katong Secondary School A Maths Sec 4 Prelims 2010 Paper 1 Solution
No. Solutionsb.c.
c.Graph of
d.
No. of solutions = 6
13a.3rd term =
or (rej)13b.
(b)
General term =
=
Let
When , Coeff. Of
= 21840Let
When , Coeff. Of
= 3640
Coeff. Of in
6
5
2
2
4
1
5
45
6
y
x
1)(f xy
6
51
xy
Tanjong Katong Secondary School A Maths Sec 4 Prelims 2010 Paper 1 Solution
No. Solutions= 21840(3) + 3640(–1)= 61880
7