Given that 3x + y = 6 and 2x + y = 5, determine the value of y

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A disc has a diameter of 21 centimetres. What is the distance around the disc?

(Take ∏ = 3.14)

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A regular polygon has the following properties 

- Four equal sides

- Diagonals that are not equal

- Two pairs of parallel sides

Name the polygon with the properties above

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A road measuring 400km was drawn to the scale of 1:10000000. Determine the drawing length of the road in centimetres.

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A teacher drew a straight line whose equation is:

2y = x + 1. 

Determine the value of x when y = 2

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Determine the value of:

-32 x (+24) ÷ (-9) - (-12) + (-15) 

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A tank has an inlet tap and a discharge tap. The inlet tap takes 40 minutes to fill the tank while the discharge tap takes one hour to empty the tank. If the tank was empty and the two taps were opened at the same time

1. What fraction of the tank had water after 10 minutes?
2. How long did it take for the tank to be half full?

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During a public participation gathering, there were 4x women, 8y men and 160 youths. The number of men was 120 less than that of women. In total, 600 people attended the meeting

1. Find the values of x and y
2. How many men attended the meeting

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