Mathematics S.S.3

Mathematics (S.S.3)

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1 / 10

If x and y are real numbers such that x^2 + y^2 = 25 and 2x + 3y = 10, what is the value of xy?

2 / 10

Simplify 15x2y3z ÷ 3x2yz-2

3 / 10

A motorist drives for m hours at 120km/hr and n hours at 18km/hr. Altogether Somina drives 78km in 5 hours. Find m and n.

4 / 10

Factorize x2 + 2a + ax + 2x.

5 / 10

Water flows through a 3cm diameter pipe at the rate of 3 metres/second. How many water flow through the pipe in one second and express the flow of water as a rate in litres/minute?

6 / 10

The lengths, in cm, of the sides of a right-angled triangle are x, (x + 2) and (x + 1) where x > 0. Find, in cm, the length of its hypotenuse.

7 / 10

A measuring cylinder of radius 3.5cm contains water to a height of 56cm. If this water is poured into a similar cylinder of radius 14cm, what will be the height of the water column?

8 / 10

A student travelled for x hours at 5km/hr and for y hours at 10km/hr. The journey was 35km altogether, which of the following equations represent the given information if the average speed for the journey was 7km/hr?

9 / 10

A rectangle has length x cm and width (x – 1) cm. If the perimeter is 16cm, find the value of x.

10 / 10

Solve the equation 2a2 – 3a – 27 = 0.

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