Further Mathematics Past Questions

Two forces, each of magnitude 16N, are inclined to each  other at an angle of 60º, find in Newton the magnitude resultant of the forces

A particle is projected vertically upward from a height 45 metres above the ground with a velocity of 40m/s. How long does it takes to hit the ground?

Calculate correct to one decimal place, the angle between 5i + 12j and -2i + 3J

A lift moving with a uniform acceleration of 5 ms\(^{-2}\) carries a body of mass p kg. If the reaction on the floor is 480N, find the value of p [take g =10ms\(^{-1}\)]

If a = \(\left| \begin{array}{cc} 3 \\ 2 \end{array} \right|\) and b = \(\left| \begin{array}{cc} -3 \\ 5\end{array} \right|\). Find the vector c such that 4a + 3c = b

The mean and median of integers x,y, z, and t are 5 and z, respectively. If x< y< z< t and y = 4. Find (x + t)

Find in surd form, the value of cos165°.

The parallelogram PQRS has vertices P( -2, 3), Q(1, 4), R(2, 6) and S(-1, 5). Find the coordinates of the point of intersection of the diagonals.

A and B are two independent events such that P(A) = \(\frac{2}{5}\) and P(A∩B) = \(\frac{1}{15}\)  find P(B)

Find the coordinates of the centre of the circle 4x\(^2\) + 4y\(^2\) − 5x + 3y −2 = 0

Given that \(\left| 
\begin{array}{cc}
2 & -3 \\
1 & 4
\end{array} 
\right|
\left| 
\begin{array}{c}
6 \\
p
\end{array} 
\right|
= 
\left| 
\begin{array}{c}
3 \\
-26
\end{array} 
\right|\)  Find p

A force of 32N is applied to an object of mass mkg, which is at rest on a smooth horizontal surface. If the acceleration produced is 8ms\(^{-2}\), find the value of m

find the least value of the function f(x)= 3x\(^2\) + 18x + 32

Find the coordinate of the point on the curve y = x\(^2\) + 4x - 2, where the gradient is zero

A force of 32 newtons is applied to an object of mass m kg, which is at rest on a smooth horizontal surface. if acceleration produced is 8ms\(^{-2}\), find the value of m

The equation of the line of best fit for variable x and y is y = 19.33 + 0.42x, where x is the independent variable. Find y when x =15

In a firing contest, the probabilities that Kojo and Kwame hit the target are \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively. What is the probability that none of them will hit the target?

A particle of mass 2.5kg is moving at a speed of 12 ms\(^{-1}\). If a force of magnitude 10N acts against it, find how long it takes to come to rest.

Simplify 8\(^n\) x 2\(^{2n}\) + 4\(^{3n}\)