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2/27/2014 Direct Proportions in Numeracy Tests - graduatewings.co.uk
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Direct Proportions in Numeracy Tests
Psychological experts use number of different instruments to measure individual numerical ability including ratios, proportions, percentages, fractions or other relevant
mathematical operations. In this section we will be concerned with direct proportions which are in essence two equivalent fractions. For example if there are twice as
many boys as girls then the ratio of boys and girls is 2:1 however, if there are 10 boys and 5 girls then 10 is to 2 as 5 is to 1 and this is proportion. Note that these
concepts are not only useful for numeracy tests but are also valuable for dealing with everyday quantitative challenges. If you run a car which burns nine litters per mile
and you need to know number of litters you will need in order to drive 80 miles you can use your knowledge of such operations. Additionally, you may use this concept for
indirect measurements to solve challenges related to productivity or efficiency. If you are looking for a quick and effective advice about such mathematical functions for
psychological numeracy assessments then read the below sections which explore the basics of solving such problems in the context of psychometric testing.
Direct proportionsIn order to solve arithmetic or algebraic problems related to direct relationships between two amounts or quantities in your numeracy tests you need know how to set up a
simple equation and solve for one unknown. A good example to demonstrate this is illustrated below. If you already posses some knowledge of this topic then allow
yourself no more than 60 seconds to complete the question. You may start now.
How many more litters does fully loaded truck D burn in a day compared to partly loaded?
Did you find the question hard? Did you worked out the difference between the number of litters vehicle would use when fully and partly loaded? If not dont panic but rather
be positive; you will learn necessary knowledge and strategies which may be all what you need in order to perform to a maximum in your assessment. Note that to solve
the above question is fairly simple. You need to set up simple equation to find out how many litters of fuel fully and partly loaded truck burns in a day and then subtract
these two values; to do this follow the below steps.
Firstly, create formula with one unknown to determine how many litters does truck with part load consumes in a day. You may formulate your equation in the following way:
16 litters/100 miles = X litters/150 miles. Now, cross multiply and divide 150x16 = 100X to solve for X. In your head you could think that 150 is 1.5 times more than 100 so
you would need 1.5 times 16 litters of fuel to travel 150 miles which equals 24 litters. Now follow the same method and perform the calculation for full load and you will
find that truck D would consume 30 litters. So, fully loaded truck compared to partly loaded burns 5 litters more per day.
In the above example we have reviewed proportions with direct relationship where one quantity proportionally increases as the other. Note that it is of utmost importance
to gain understanding, logic and become thoroughly familiar with these concepts to perform well in numeracy tests.
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