Video: GCSE Mathematics Foundation Tier Pack 1 • Paper 2 • Question 5

GCSE Mathematics Foundation Tier Pack 1 • Paper 2 • Question 5

03:39

Video Transcript

Kat is buying a new car. The car costs 3999 pounds. Kat pays an initial deposit of 243 pounds. She will pay the remaining amount over the course of a year in equal monthly payments. How much money does Kat pay for the car each month?

So when we take a look at this kind of question, there’s actually a lot of information. So we need to make sure that we’re pulling out the key information and working out in stages. So first of all, we know that the car costs 3999 pounds. And what we also know is that Kat pays an initial deposit of 243 pounds.

So therefore, with these two bits of information, what we can actually do is work out the amount left to pay because the way we’re gonna work this out is actually 3999 because as we said that was the total car cost minus the deposit, so minus 243. I’ve actually set up in the columns cause we said that we can actually use column subtraction.

Do you remember when you do set up like this using column subtraction, you have to make sure that we actually have the place values in the correct place, so for instance, the units aligned, the hundreds aligned, et cetera.

So we do nine take away three, which gives us six. The next we’re gonna do well it’s 90 take away 40. But we just look at the digits, it’s nine take away four, which gives us five or 50. Great, then nine take away two which is equal to seven. Well, then, we actually don’t have any thousands in our deposit. So it would be like a zero. So three take away zero, which will just be three. So therefore, we’ve got 3756 pounds left to pay.

So great, that’s step one of the problem solved. Now, let’s move on to the next stage. Well, to enable us to answer the next stage, we’re gonna look at these two key bits of information. It says she will pay the remaining amount over the course of a year in equal monthly payments.

So therefore, with this information, we can actually say that we know the number of payments because there are 12 months in a year. And it says that it’s actually gonna be paid off over the course of a year in equal monthly payments. So therefore, the number of payments is gonna be equal to 12.

So great, we now know the number of payments. So what we need to do now is actually work out how much she’s gonna pay each month. So to actually calculate the amount per month, we can say that it’s 3756 divided by 12. And the reason we can say that is because it says in the question they are equal monthly payments. So every payment is going to be the same.

So I’ve actually set this up using short division or the bus stop method. So 12s into three don’t go. So we put a zero. And therefore, we carry forward the three. And then, we do 12s into 37. So therefore, we can say well, 12s into 37 go three times because 12 by three equals 36 with one remainder. And then, we see the number of 12 is going into 15 because we’ve got our remainder one and then our five. Well, we know that 12 goes into 15 once with a remainder of three. So then, finally, we’ve got to carry the three. So we have 36. And 12 is going into 36 three times as we already talked about. So we got 313.

So therefore, we can say that if Kat buys a new car and it costs 3999 pounds, she pays an initial deposit of 243 pounds, and then pays the remaining amount over the course of a year in equal monthly payments, her monthly payments are going to be 313 pounds per month.

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