This video demonstrates essential GCSE maths problem-solving techniques including converting mixed fractions to improper fractions, solving algebraic equations using the bus stop method, finding angles using straight line and triangle properties, calculating area and pressure relationships, interpreting box plots to compare data distributions, solving circle geometry problems with arc lengths, and using vectors with ratios. The key strategies involve breaking down complex problems into manageable steps, applying appropriate formulas, and carefully reading questions to identify what is being asked.
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GCSE Maths Higher Predicted Paper 1 | 14th May 2026 | Quick WalkthroughAdded:
The GCSE maths paper one is in less than 5 days, so now is the perfect time to be watching this video. I'm not going to waste your time. Let's get right into it.
Let's simply write out these mixed fractions as improper fractions and then add them.
Then convert it back into a mixed number.
Use our KFC method.
Simplify to make it a little bit easier.
We can multiply both of them by 100 and use bus stop.
Then make it such that there's 3x in both and subtract.
>> [music] >> And then solve for x.
We can create an equation to represent this.
We can say the total is equal to 4x + 2x + 6x, which is equal to 13x.
Then the number of yellow counters, 6x, is equal to number of blue, 3x + 39.
Then we can just solve.
Let's just put everything in.
And then we can write out the numbers that aren't covered here, [music] which are odd numbers less than 13.
Which are 3, 9, 13, 21.
2/5 of the pots are unused, so we can just calculate that.
And then small to medium to large can just be written as 1 to 3 to 12.
If we write one medium to four large with three mediums, then we'll get 3 to 12.
So then unused small pots are 1 over 16 * 160, which is just 10.
And then we should read the question carefully because they asked us for the percentage in terms of his total pots, which is 2.5%.
So we're looking for CAB, which is at the top here.
This angle AED is equal to 180 - 122, which is 58.
That's because angles on a straight line add up to 180°.
And then we can figure out ADE, which is also equal to 59, which is at the bottom right there, because corresponding angles are equal.
So now CAB is equal to 180 - 58 - 59 because angles in a triangle add up to 180 degrees.
Which is 63 degrees.
>> [snorts] >> Let's find out the area of this area on the bottom here.
First.
We know that the volume is 24 and that volume is just [music] the area times the height. So, we can just do 24 divided by 4 to get 6 as the area.
And then, pressure equals force over area as it says in the top right.
So, force equals pressure times area.
Then, we can just do 60 * [music] 6 or 360.
To find the mean weight, we can just >> [music] >> find the total weight of boxes, subtract, and then divide.
Now, this is a fractional index just like I've taught before.
We'll cube root it and then take it to the fourth power.
So, with this graph, we can find a few important details such as the median and such.
>> Now we've got our box, so we can do our whiskers with 0 and 112.
Excuse my box plot. I'm a little bit lazy to use a ruler.
Okay, let's compare our distributions.
So, the delays on Thursday were longer on average because the median was greater.
And the spread of delays on Thursday is wider the interquartile range is larger.
They say on Friday there were more delays between 24 and 48 than between 0 and 10.
Is that true? No, that's not true because we know that in between each of these sections there's 25% of the values.
Let's move everything to one side and solve.
This length here [music] is 10 pi.
And let's just call this theta. So, we know that theta over 360 times the circumference is equal to 10 pi.
And so, we can solve for [music] theta like that.
Now, let's find our area.
Let's write our proportions out.
Now we have them separately, we can combine them.
Sub in our numbers like usual.
Then, let's find the inverse g.
I'll just write down g again down here.
Um rearranging This rule requires some careful rearrangements.
And some careful multiplication.
If they're perpendicular, you know that's the negative reciprocal.
We can draw a tree for this if you'd like.
>> Since we already removed the red marble, there'll be one less red marble.
And then the total will be reduced by one, too.
If the surface area is 25 pi, that must be equal to 4 pi r squared.
So, we can use that to get our radius.
And then we can just put it back into our equation.
Now, we just rationalize our denominator here by flipping around the sign on the denominator.
Okay.
So, let's >> [snorts] >> complete our square.
I like to take out the minus first.
But, you can do whatever you like.
These kind of questions often take quite a while to crunch down the numbers.
But, now it's finally time to put the negative sign back in.
So, our turning point must be minus 2 13.
Oh, no, vectors question.
Let's write our ratios down on the diagram first.
Oh, I hate these questions.
So, now since we don't OC, we just know that OP is some multiple of that.
We can also write OP in a different way.
Perhaps, O to A plus some multiple of A to D.
>> And so now we know that these two must be the same thing.
And so can also get K.
So now that we've got K as 2/5, we know that OP is 2/5 of OC.
And so our ratio is OP to PC, which means that PC is 3/5 of OC.
Which would mean that OP to PC is 2/5 to 3/5 or simply 2 to 3.
And so I was hoping to not see a vectors question, but you can't improve on something you don't practice.
>> [snorts] >> Now, I hope this video helps you, but the practice does not stop there.
You need to go out and practice yourself. That's the best way to go through this.
So, good luck, Radiance Squad.
>> [snorts]
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