A comparative investigation was undertaken to determine the head loss coefficients for horizontally mounted and vertically mounted orifices using a Fluid mechanics and Heat transfer trainer developed in Nigeria. Experiments were carried out observing the procedure and the discharge of the flow of water was collected to obtain the volumetric flow rate and also read off the right and left limb of the horizontal and vertical manometers at different set points. The experimental measurements were subjected to further study to determine the head loss using equation with addition of pump to the system. A graph of head loss against the kinetic head of water was plotted and the gradient of the graph yield the head loss coefficient (k). It was observed that there was no significant difference between the head loss coefficient for horizontal and vertical orifices. Hypothesis test was done to test the accuracy, precision and the statistical reliability of the head loss coefficient for the horizontal and vertical orifices, however better result was recorded in the horizontal orifice by statistical analysis. This report provides conclusion and recommendation to the challenges experienced.