Video: GCSE Mathematics Foundation Tier Pack 5 • Paper 2 • Question 6

GCSE Mathematics Foundation Tier Pack 5 • Paper 2 • Question 6

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Video Transcript

The pictogram shows the number of pizzas that were delivered by Matt on Monday and Tuesday. The data from Wednesday, Thursday, and Friday is missing. Use the following information to complete the pictogram. Matt delivered the same number of pizzas on Tuesday and Wednesday. He delivered a total of 80 pizzas on Monday, Tuesday, and Wednesday. He delivered 16 pizzas on Thursday. And he delivered 34 pizzas on Friday.

So the first piece of information that we can actually use to complete the pictogram is the fact that Matt delivered the same number of pizzas on Tuesday and Wednesday. Well, if we look at Tuesday, we can see if there are three and a half complete pictures of our pizza. So therefore, we’re gonna copy this into Wednesday. And we can do this because we know that he delivered the same number of pizzas on both days.

Now, we think, “well, actually this is really useful information at the bottom” because we’re told how many pizzas he delivers on Thursday and how many he delivers on Friday. So can’t we just add these into our pictogram? Well, the answer is no because we actually haven’t got a key. So we don’t know how much each of our pizza pictures is actually worth.

So therefore, the next step is to actually work out what our key is going to be. And we can do that using the information that we’re told, which is he delivered a total of 80 pizzas on Monday, Tuesday, and Wednesday. So in that case, what we need to do is actually add up how many complete pictures we have on Monday, Tuesday, and Wednesday and then divide 80 by this number to tell us how much each of the completed pizzas is worth.

So as you see here, I’ve actually labelled each day. So we’ve got three on Monday, three and a half on Tuesday, and three and a half on Wednesday. So what we’re gonna do is add these up. So we got three plus three plus three which is a nine; that’s all the whole pictures added together. Then, we’ve got a half plus a half which is one. So therefore, we’ve got 10 pictures of pizzas in total.

Okay, great, so we now we’ve got 10 and we know that this equals 80. So we’re gonna do 80 divided by 10 to give us the key that we need. Well, 80 divided by 10 is equal to eight. So therefore, we can say that one complete pizza picture is worth eight pizzas that he has delivered. And we can now put this into our key.

So now, we can actually go on and draw the information in for Thursday and Friday. We’re gonna start with Thursday. Well, it says that he delivered 16 pizzas on Thursday. So what we’re gonna do is divide 16 by eight because we know that one picture is worth eight pizzas. And the result of this of is two. So therefore, we know that actually there is gonna be two pictures of complete pizzas on Thursday.

So now, we’re gonna move onto Friday. At Friday, it says that he delivered 34 pizzas. Well, this time, if we divide 34 by eight, we’re gonna get the result of four, but with a remainder of two. And we know that because four multiplied by eight is 32 and then there’s two left over to get to 34. So because of this, we know that we need four complete circles, but then we also need two pizzas.

And how we’re going to represent that? Well, if we look at our little pictures, we can see that actually there’s eight sections. So each one of those sections is worth one pizza that he’s delivered. So therefore, we can say that two pizzas is gonna be worth two sections, which is a quarter of the picture.

And we can actually check to see if this is right. Because is a quarter of eight two? Well, yes, if you divide eight by four, you get the result two. So therefore, we can actually write this in for Friday. So we’re gonna have four and a quarter pictures in the Friday space.

So therefore, we’ve actually completed the pictogram by using the information that we’ve been given.