Question

andrew had a full tank of fuel at the start of the week.
by the end of the week, the fuel level on the petrol gauge had dropped as shown below.
how full was the tank of andrews car by the end of the week?
\\(\frac{4}{5}\\)
\\(\frac{3}{4}\\)
\\(\frac{1}{4}\\)
\\(\frac{1}{5}\\)

Explanation:

Count the total intervals on the gauge

The gauge is divided into equal intervals between Empty (E) and Full (F).
Counting the segments between the major tick marks:

• There is a central thick tick mark representing \(\frac{1}{2}\).
• Between E and the center tick, there are 4 equal intervals (marked by 3 smaller ticks).
• Between the center tick and F, there are 4 equal intervals (marked by 3 smaller ticks).
• This gives a total of \(4 + 4 = 8\) equal intervals across the entire gauge.

Determine the position of the red needle

The red needle points to the third tick mark to the left of F.
Counting from E (0) to F (8):

• The needle is at the 6th tick mark from E.
• This corresponds to a fraction of \(\frac{6}{8}\).

Simplify the fraction

$$ \frac{6}{8} = \frac{3}{4} $$

Answer:

• (A) \(\frac{4}{5}\)
• (B) \(\frac{3}{4}\) (Correct answer)
• (C) \(\frac{1}{4}\)
• (D) \(\frac{1}{5}\)