Free Printable F4 C3 P2 SYSTEM OF EQUATIONS

1.

Diagram 4 shows a right prism ABCDEF with square base. Given the total length of the sides of the right prism 133 cm and ED = 25 cm.

Find the volume of the right prism.

a)

$V=456\ cm^3$

b)

$V=588\ cm^3$

c)

$V=297\ cm^3$

d)

$V=542\ cm^3$

2.

Diagram 1 shows a piece of rectangular lands PQRS. En Harun rears lobster in a rectangular pond ABCD. Perimeter of the pond is 130 m. The remain land with area of 3300 m²is used to plant maize.

Find, in meter, the length of each side of the pond.

a)

AD = 30

AB = 12

b)

AD = 40

AB = 10

c)

AD = 50

AB = 15

d)

AD = 55

AB = 20

3.

Diagram 1 shows a plan of 5 terraced houses to be built on Encik Azman's land. The perimeter of the whole 5 houses is 160 meters. He allocated an area of 600 meter²

to construct a road in front of the houses and on both sides of the end lot as in Diagram 1. The width of the road is x meter. Find the length and width, in meter, of each house.

a)

L = 20

W = 5

b)

L = 30

W = 10

c)

L = 40

W = 15

d)

L = 50

W = 20

4.

Diagram 1 shows a triangle ABD. Given that AB + BD = 32 cm.

Find the value of x and of y.

a)

$X=12,\ Y=4\ ;\ X=5,\ Y=22$

b)

$X=20,\ Y=3\ ;\ X=6,\ Y=15$

c)

$X=7,\ Y=2\ ;\ X=5,\ Y=15$

d)

$X=15,\ Y=8\ ;\ X=3,\ Y=20$

5.

Diagram 5 shows a trapezium ABCD. The trapezium ABCD has a perimeter of 23 cm and the length of the diagonal AC is cm.

Find the possible values of x and y.

a)

$X=\frac{31}{5},\ Y=\frac{8}{5}\ ;\ X=5,\ Y=4$

b)

$X=\frac{21}{5},\ Y=\frac{2}{5}\ ;\ X=7,\ Y=6$

c)

$X=\frac{11}{5},\ Y=\frac{3}{5}\ ;\ X=3,\ Y=2$

d)

$X=\frac{9}{5},\ Y=\frac{1}{5}\ ;\ X=10,\ Y=6$

6.

Diagram 3 shows a rectangular plank. Pak Ali wants to cut the plank into two triangular planks. The perimeter of each triangular plank is 24 cm and the measurement of the longest side of the triangle is (x + y) cm.

Calculate the area, in cm²of the plank.

a)

$24\ cm^2$

b)

$36\ cm^2$

c)

$48\ cm^2$

d)

$54\ cm^2$

7.

Diagram 4 shows a grazing field with length 30.2 m and width 20.4 m. The unshaded area which had been grazed is a rectangular in shape. The perimeter of the grazed area is 43.2 m and the area that has not been grazed is 500 m².

Find the area of the graze field in metre.

a)

$123.6$

b)

$101.2$

c)

$95.5$

d)

$88.7$

8.

Diagram 4 shows a piece of plywood in a rectangular shape with length 5x cm and the width y cm. A carpenter wants to cut the plywood into two equal pieces of right-angled triangle. The perimeter of each triangle is 24 cm and the longest side of the triangle is (x + y) cm.

Calculate the area, in cm², of the board.

a)

$\frac{192}{25}$

b)

$\frac{153}{25}$

c)

$\frac{192}{23}$

d)

$\frac{154}{18}$

9.

Solve the simultaneous equations. Give the answers correct to four significant figures.

a)

$Y=2.465,\ X=5.870\ ;\ Y=-0.1386,\ X=0.2456$

b)

$Y=5.430,\ X=7.162\ ;\ Y=-0.1343,\ X=0.2450$

c)

$Y=3.840,\ X=6.261\ ;\ Y=-0.1736,\ X=0.2396$

d)

$Y=7.631,\ X=5.893\ ;\ Y=-0.1092,\ X=0.3274$

F4 C3 P2 SYSTEM OF EQUATIONS

Total questions: 9

Worksheet time: 2hrs 15mins

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