Question
1 Work out: (a) 32% of ¥80 __ D (b) 12.5% of 600 m ...................................................................... __ D __ In a school, 57 pupils out of 128 in Year 9 reach level 5 in their Science examination. Express this amount of pupils as a percentage to 1 d.p. __ 3 A computer costs f900 plus VAT, where VAT is charged at 17(1)/(2)% Find the total cost of the computer. __ 4 Three students took a History test. (a) Amar got seven -eighths of the questions right. What was his percentage score? __ 0/0 (b) and a percentage score of 65% What was the maximum possible mark on the test? __ (c) Was this a higher or a lower mark than Amar? Show your working. __ Percentages D D D
Answer
4.3
(281 Votes)
Nigel
Master · Tutor for 5 years
Answer
1a)
1b)
2)
3)
4a)
4b)
4c) Amar scored higher than Frank as Amar has a overall score of 70 which is higher than Frank's 68.
Explanation
## Part 1a:To find
of £80, multiply 80 by 0.32 (which is the decimal form of
).###
## Part 1b: To find
of 600m, multiply 600m by 0.125 (which is the decimal form of
).###
## Part 2:To express the proportion of pupils as a percentage, you need to divide the number of successful students (57) by the total number of students (128) and then multiply by 100.###
## Part 3: The VAT should be incorporated into the cost. First, find the VAT amount by multiplying
by
(the decimal representation of
) and add the tariff to the cost. ###
###
## Part 4a: To find Amar's score as a percentage, multiply the fraction
by 100%.###
## Part 4b: Since
represents 52 marks, we can represent the maximum possible score as
. To find the complete score, calculate the value of
using simple cross multiplication.###
###
## Part 4c:Lastly, find three-eighth of the total marks to compare it with Frank's score. If
equals to Amar's score as a percentage then, find the scores corresponding to
from the total marks calculated before.(It's persuaded because the maximum marks are yet to be identified.)###
Then manually Austin's total score with Frank's total score(68).# Calculations:## Step1:
## Step2:
## Step3:
## Step4:
## Step5:
## Step6:
## Step7:
Then manually: Amar's scores are just slightly above Frank's since 70>68.