Junior Cert higher Maths Paper 1. 2001
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Solutions
Question 1.
(1)£15,000. (ii) 2.5hours. (iii) Length 12.
(iv) 6. (v)
(vi){1,7}
(vii) a = 7.5, (viii) x = 2/3,x= 4. (ix)
(x) 
Question 2:
Perimeter is 172cm,Area is 1008 cm2.
(b) Volume of the cylinder is 
, radius is 
Question 3:
(a) (i)
4x(5y-x). (ii) (5x+1)(x-2) (iii)
(b)
©The
equation becomes 
Question 4
(a)
(i) 1008,
(ii) 336
(b)
Score |
<10 |
<20 |
<30 |
<60 |
<100 |
|
No of People |
5 |
17 |
32 |
46 |
50 |
The
Median is 26.The number of people who scored between 25 and 50 is about 16.the
interquartile range is about 19.
Question
5:
|
x |
-2 |
-1 |
0 |
1 |
2 |
3 |
|
3 |
3 |
3 |
3 |
3 |
3 |
3 |
|
3x |
-6 |
-3 |
0 |
3 |
6 |
9 |
|
|
-8 |
-2 |
0 |
-2 |
-8 |
-18 |
|
y |
-11 |
-2 |
3 |
4 |
1 |
-9 |
The
couples are
(-2, -11),
(-1, -2)(0,3)(1,4)(2,1)(3, -9)
f (2.5)=-2. f (x) = 0 when x = -.7, x = 2.2 The maximum
value of f (x) is 4.1
(b)
g (-4)=
- 7.g (x) = 0 when x = 3 or –3
g (4) =
-7, gog (2)= -16 therefore g (4)>gog (2)
Question
6:
(a) x =
1,y = -4.
(b)
©1/2(4x)(3x)=
121.5
Comments:This
was one of the nicer papers to be asked
in recent years ,much easier than previous years and much shorter. Something tells
me we are easing our way into the new Junior Cert syllabus which comes in in
2003 .