At QTS Maths Tutor we receive a great amount of feedback from people who have taken their professional numeracy skills test. In particular, we hear about questions students have found difficult or questions that appear to be new. Using this information we have created the most up to date questions to give you the edge in the real thing. We change the numbers but the type of question is very close to those that appear in the real exam.

### Perimeter of two football pitches (Received 21/8/17)

Mental Arithmetic Question

Two football pitches of length 90 m and width 40 m lie side by side with an 6 m gap between the pitches. What is the perimeter of both pitches including the 6m gap?

Solutions:

To solve this we first have to visualize the scenario described in the question:

The two pitches together including the 6 m gap gives a total length of 186 m and the height would still be 40.

We then need to do the following calculation:

$40 + 186 + 40 + 186 = 452$

This gives the total perimeter of 452 m

### Area of two football pitches (Received 21/8/17)

Question

Two football pitches of length 90 m and width 40 m lie side by side with an 6 m gap between the pitches. What is the total area of both football pitches including the gap?

Solution

To solve this we first have to visualise the scenario described in the question:

The two pitches together including the 6 m gap gives a total length of 186 m and the height would still be 40. To calculate the area of a rectangle we need to multiply the length by the width.

So we calculate:

$186 \times 40 = 7440 m^{2}$

This gives the total area to be 7440 m2