Home / iGCSE Mathematics (0580) – C1.13 Percentages- Exam Style Questions Paper 1

iGCSE Mathematics (0580) - C1.13 Percentages- Exam Style Questions Paper 1- New Syllabus

Question

Victoria invests \(\$2000\) at a rate of \(5\%\) per year simple interest.
Calculate the value of her investment after \(4\) years.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

Topic C1.13 Percentages: Calculate with simple and compound interest (Core)
▶️ Answer/Explanation

Calculate the total interest earned over \(4\) years using the simple interest formula:
\(\text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}\)
\(\text{Interest} = 2000 \times \frac{5}{100} \times 4 = 400\).
To find the total value of the investment, add the interest to the original principal:
\(\text{Total Value} = 2000 + 400 = 2400\).
Answer: \(\$2400\)

Question

On Monday the cost of a concert ticket is $\$x$.

On Tuesday the cost of a ticket for the same concert is 20% more than the cost on Monday.

Jack buys 4 tickets on Monday and 5 tickets on Tuesday. Jack pays $\$270$ in total.

Work out the value of $x$.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

C1.13 Percentages
• C2.5 Equations
▶️ Answer/Explanation

Let’s find expressions for the ticket price on both days:
• Monday cost $= x$
• Tuesday cost $= x + 0.20x = 1.2x$ Now we create an equation based on the total amount Jack spent buying 4 Monday tickets and 5 Tuesday tickets: $$4(x) + 5(1.2x) = 270$$ $$4x + 6x = 270$$ $$10x = 270$$ $$x = \frac{270}{10} = 27$$

Answer: $x =$ 27

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