Math Problems

1. (i) find the total of shaded square in the column 18th (ii) find the column kth such that it hav 6 shaded square consecutive

1

2

3

4

2

3

4

1

2

3

4

1

2

3

4

1

2. A factory has male n female workers of ratio 3:5. some female workers but no male workers are resigned. 5 more workers are employed. The ratio now is 4:3 when the number of female workers is 15. Find the possible values of the number of female workers F-M : 15-20  male = 3k 15-18  Female = 25 or 30

3. If 3 < or = x < or = 6 and -5 < or =y < or = 2 Find the smallest value of y/x if y/x is an integer 4. Given datz DE parallel to BC n AB is paralled to EF AD=2 DB=5 DE=3

(i) (ii)

area of ADE : area of EFC area of DEFB : area of EFC

Solution: AD: AB = 2/7 = 3/BC AD : EF = 2/5 = 3/FC  FC= (3x5)/2=7.5 S ADE= 1/2 x h1 x 3 S EFC= 1/2 x h2 x 7.5  S ADE: S EFC = (2 x 3): (5 x 7.5) = 6 : 37.5 S DEFB = 3 x h2 S EFC = 1/2 x h2 x 7.5  S DEFB : S EFC = 3 : ( 0.5 x 7.5) = 3 : 3.75

5. The area of square increase by 44% Find the percentage increased by the length of 1 side of the square 44%  1.44 a2  1.2a  20% 6. The diagram shows the graph of y = (-x+1) (x+4) (i) write the coordinated of C (ii) Find the equation of axis of symmetry of parabol

C

A

B

C lie in 0y  x=0  y= 4 C(0;4) Y = (-x+1)(x+4) = -x2 - 4x + x + 4 = -x2 – 3x + 4 = - (x2+3x- 4) = 7. the diagram shows the line A parallel to axis Oy. The line B parallel to axis Ox. The line B n C passing through

point of coordinates (0;4). The area of the rectangle is 16 cm2 . write down the equation of line A,B,C

y

The line A

The line B

4

4

The line C x