Question
Phil sat a test and a test. In th test he out of 40. In the Ge o he scored 39 out of 60. In which test did he do better? Answer You must show your working. square Show your working .
Answer
4
(319 Votes)
Emilia
Master · Tutor for 5 years
Answer
For the History test, (28 / 40)*100% = 70%.For the Geography test, (39 / 60)*100% = 65%.Even though Phil has scored more in the Geography test, when we consider the total marks out of which the tests were scored, we get their relative performance as percentages.Therefore, Phil did better in the History Test.
Explanation
The solution to this question involves simple mathematical calculations mostly relying on arithmetic operations. As the scores in both tests were obtained out of different totals, we use percentages to compare Phil's marks. Percentage is a mathematical term used to define a particular proportion in general that could point quite often but not all the time, to parts of any given hundred. In this contexts this means comparing both scores corresponding to the total marks. They're calculated by expressing the obtain score over the maximum possible score, then multiplying the value obtained by 100. (obtained score / Maximum Possible Score)*100For the History test:Score: 28 out of 40. So, the corresponding percentage would be calculated as (28 / 40) *100.For the Geography test: Score: 39 out of 60. So, the percentage corresponding to the geography test is computed using the formula (39 / 60) *100.By comparing these two percentages, we can draw a conclusion. This involves comparing percentages i.e., basic comparision operation.