Exam Questions — Ratio & Proportion
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2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 100 marks.}\\ &\text{To pass, a student needs at least 50% of the marks.}\\ &\text{A student scores 48 marks.}\\ &\text{Show that the student does not pass the exam.}\end{aligned}
Answer:
\begin{aligned} &50\% \times 100 = 50.\\ &48 < 50, \;\text{so the student does not pass.}\end{aligned}
Solution:
\begin{aligned} &0.5 \times 100 = 50.\\ &48 < 50.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 80 marks.}\\ &\text{To pass, a student needs at least 65% of the marks.}\\ &\text{A student scores 48 marks.}\\ &\text{Show that the student does not pass the exam.}\end{aligned}
Answer:
\begin{aligned} &65\% \times 80 = 52.\\ &48 < 52, \;\text{so the student does not pass.}\end{aligned}
Solution:
\begin{aligned} &0.65 \times 80 = 52.\\ &48 < 52.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 50 marks.}\\ &\text{To pass, a student needs at least 70% of the marks.}\\ &\text{A student scores 32 marks.}\\ &\text{Show that the student does not pass the exam.}\end{aligned}
Answer:
\begin{aligned} &70\% \times 50 = 35.\\ &32 < 35, \;\text{so the student does not pass.}\end{aligned}
Solution:
\begin{aligned} &0.7 \times 50 = 35.\\ &32 < 35.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 40 marks.}\\ &\text{To pass, a student needs at least 75% of the marks.}\\ &\text{A student scores 28 marks.}\\ &\text{Show that the student does not pass the exam.}\end{aligned}
Answer:
\begin{aligned} &75\% \times 40 = 30.\\ &28 < 30, \;\text{so the student does not pass.}\end{aligned}
Solution:
\begin{aligned} &0.75 \times 40 = 30.\\ &28 < 30.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 30 marks.}\\ &\text{To pass, a student needs at least 60% of the marks.}\\ &\text{A student scores 17 marks.}\\ &\text{Show that the student does not pass the exam.}\end{aligned}
Answer:
\begin{aligned} &60\% \times 30 = 18.\\ &17 < 18, \;\text{so the student does not pass.}\end{aligned}
Solution:
\begin{aligned} &0.6 \times 30 = 18.\\ &17 < 18.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 40 marks.}\\ &\text{To pass, a student needs at least 75% of the marks.}\\ &\text{A student scores 32 marks.}\\ &\text{Show that the student passes the exam.}\end{aligned}
Answer:
\begin{aligned} &75\% \times 40 = 30.\\ &32 > 30, \;\text{so the student passes.}\end{aligned}
Solution:
\begin{aligned} &0.75 \times 40 = 30.\\ &32 > 30.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 30 marks.}\\ &\text{To pass, a student needs at least 60% of the marks.}\\ &\text{A student scores 20 marks.}\\ &\text{Show that the student passes the exam.}\end{aligned}
Answer:
\begin{aligned} &60\% \times 30 = 18.\\ &20 > 18, \;\text{so the student passes.}\end{aligned}
Solution:
\begin{aligned} &0.6 \times 30 = 18.\\ &20 > 18.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 50 marks.}\\ &\text{To pass, a student needs at least 70% of the marks.}\\ &\text{A student scores 38 marks.}\\ &\text{Show that the student passes the exam.}\end{aligned}
Answer:
\begin{aligned} &70\% \times 50 = 35.\\ &38 > 35, \;\text{so the student passes.}\end{aligned}
Solution:
\begin{aligned} &0.7 \times 50 = 35.\\ &38 > 35.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 100 marks.}\\ &\text{To pass, a student needs at least 45% of the marks.}\\ &\text{A student scores 52 marks.}\\ &\text{Show that the student passes the exam.}\end{aligned}
Answer:
\begin{aligned} &45\% \times 100 = 45.\\ &52 > 45, \;\text{so the student passes.}\end{aligned}
Solution:
\begin{aligned} &0.45 \times 100 = 45.\\ &52 > 45.\end{aligned}
2 marks
Foundation
Edexcel
Ratio & Proportion
\begin{aligned} &\text{An exam is out of 80 marks.}\\ &\text{To pass, a student needs at least 60% of the marks.}\\ &\text{A student scores 52 marks.}\\ &\text{Show that the student passes the exam.}\end{aligned}
Answer:
\begin{aligned} &60\% \times 80 = 48.\\ &52 > 48, \;\text{so the student passes.}\end{aligned}
Solution:
\begin{aligned} &0.6 \times 80 = 48.\\ &52 > 48,\;\text{passes.}\end{aligned}