Junior Cert higher Maths Paper 1.

 

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 1708 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

-8.55,-.45

 

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