# Video: GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 9

GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 9

02:20

### Video Transcript

The heights of five mountains are shown in the table. Part a) Write down the mountains in order of height, from shortest to tallest. Lauren says, “Ben Nevis is at least two times as tall as Pen-y-ghent.” Part b) Show that Lauren is incorrect.

In order to order the mountains from shortest to tallest, we firstly need to find the smallest number in the table. The smallest number is 694. Therefore, the shortest mountain is Pen-y-ghent. The next smallest number in the table is 918. Therefore, the next shortest mountain is Tryfan, at 918 meters.

The only other number under 1000 in the table is 978. Therefore, the next shortest mountain is Scaffel Pike. 1085 is smaller than 1345. Therefore, the next shortest mountain is Snowdon. Finally, the largest number in the table is 1345. Therefore, the tallest mountain is Ben Nevis.

The five mountains in order of height from shortest to tallest are Pen-y-ghent, Tryfan, Scaffel Pike, Snowdon, and Ben Nevis.

In the second part of our question, Lauren said that Ben Nevis is at least two times as tall as Pen-y-ghent. Pen-y-ghent was 694 meters tall. This means we need to multiply this number by two 694 multiplied by two is 1388. Ben Nevis is 1345 meters tall and 1345 is less than 1388.

This means that Lauren is incorrect. Ben Nevis is less than two times as tall as Pen-y-ghent.