The pie chart shows how Jack spent his time one evening - OCR - GCSE Maths - Question 10 - 2019 - Paper 1

To verify Jack's claim, we need to calculate the fraction of time spent on Gaming in comparison to the total time represented by the diagram.

First, we calculate the portion of time for Gaming:

$\text{Gaming} = \frac{150}{360} = \frac{5}{12}$

Now we compare this with ( \frac{1}{3} ):

To check:

• Convert ( \frac{1}{3} ) to a denominator of 12:

$\frac{1}{3} = \frac{4}{12}$

Since ( \frac{5}{12} > \frac{4}{12} ), Jack's assertion that he spent ( \frac{1}{3} ) of his time on Gaming is incorrect.

The pie chart's total time is 5 hours. The Reading segment occupies 30° of the pie chart.

To find the time spent reading:

1. Calculate the fraction of the total time for Reading:

   $\text{Time for Reading} = \frac{30}{360} \times 5 \, \text{hours} = \frac{1}{12} \times 5 = \frac{5}{12} \, \text{hours}$

2. Convert ( \frac{5}{12} ) hours to minutes:

   $\frac{5}{12} \times 60 = 25 \, \text{minutes}$

Thus, Jack spent 0 hours and 25 minutes reading.