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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

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4.3 (281 Votes)
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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.