Video: GCSE Mathematics Foundation Tier Pack 3 • Paper 2 • Question 3

GCSE Mathematics Foundation Tier Pack 3 • Paper 2 • Question 3

05:24

Video Transcript

Gillian set up a bird feeder in her garden. She records the number of robins and sparrows that visit the bird feeder each day of the week. The bar chart below shows some of her findings. On Friday, seven sparrows visited the bird feeder. Part a) Display this information on the bar chart. Part b) On which day of the week did the largest number of robins visit the bird feeder?

There are also other parts which we’ll come onto a bit later. So if you look at part a, what we need to do is actually display the information which is given on the bar chart. So I’ve circled the two important bits of information, first of all on Friday. Then, it says we have seven sparrows visiting the bird feeder. Therefore, we know it’s from Friday. So I’ve drawn an arrow. This is the arrow that we need to add on to. And we can actually see there’s a gap where there should be sparrows’ information. So we know we’re in the right place.

Now, what we need to do is actually add a bar showing that there are seven sparrows. So what I’ve done is drawn a dashed line across from seven so we can see where our bar needs to go up to. So now, I’ve actually drawn the bar for seven sparrows on Friday. So I’ve drawn it. And so what I’ve done is actually completed part a cause I’ve displayed the information on the bar chart. Okay, great, let’s move on part b.

What part b asks is which day of the week has the largest number of robins visiting the bird feeder. So what I’m gonna do is go through them in turn. So first of all, we can see that actually four robins who visited the bird feeder on the Monday, two robins that visited it on Tuesday, six on Wednesday, four on Thursday, nine on Friday, 10 on Saturday, and five on Sunday.

So we can see that actually well 10 is the greatest number and also it should be the highest bar. And we can see that actually yes, it’s higher than all the other robin bars. And we can see that there were 10 robins on the Saturday. So therefore, we can say the answer to part b is Saturday. And that’s because on that day, the largest number of robins visited the bird feeders.

Okay, now, let’s move on to the next part. So we’re actually told before we do part c and d a bit of extra information. So we know that more birds visited the bird feeder on Saturday than on Monday. Part c) How many more?

A number of goldfinches also visited the bird feeder. The total number of goldfinches that visited throughout the week was the same as the total number of robins that visited throughout the week. Part d) What is the total number of robins, sparrows, and goldfinches the visited the bird feeder throughout the week?

So for part c, we’re asked to see how many more birds actually visited the bird feeder on Saturday than on Monday. And because this is birds, it means both the robins and the sparrows. So what I’ve done is actually added the number of sparrows on Monday and Saturday onto our diagram. So we’ve got two sparrows on Monday and three sparrows on Saturday because we’d already written above the bars how many robins we had on each day.

So therefore, the total number of birds on Monday is four plus two because we had four robins and two sparrows, which is gonna be equal to six. And then, on Saturday, the total number is 10 plus three. And that’s cause we had 10 robins, three sparrows which is 13.

So now, we’ve actually worked out how many birds there are on each day, both Monday and Saturday. What do we do next? Well, we want to work out how many more there are on Saturday than Monday. So what we do is we take six away from 13 and that’s because we had 13 on the Saturday and six on the Monday. So therefore, we can say that there were seven more birds on Saturday than Monday.

Okay, great, now, let’s move on to part d. Well, the key bits of information that we’re told for part d are that the total number of goldfinches is the same as the total number of robins. So therefore, what we need to do first is actually work out the total number of robins and total number of sparrows. And then, we’ll be able to use the total number of robins to tell us how many goldfinches there are. And once, we’ve done that, we’ll be able to work out the total number of birds who visited the bird feeder throughout the week.

Well, the total number of robins is gonna be four plus two plus six plus four plus nine plus 10 plus five which is equal to 40. And the total number of sparrows is gonna be two plus five plus two plus four plus seven plus three plus seven and I’ve marked those on there because that is the number of sparrows in each of the days. And when we add these together, we get 30. And we know that the number of goldfinches is gonna be 40 because we were told that it’s gonna be the same as the number of robins.

So therefore, we can say that the total number of birds is gonna be 40 because that’s the number of robins plus 30 cause that’s the number of sparrows plus 40 which is the total number of goldfinches which is gonna be equal to 110. And that’s because we got that because we have 40 plus 30 which is 70 add in another 40 it gives 110. So therefore, the total number of birds is 110.

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