Math and Arithmetic

243

9 - 1 = 8...

To reach your 13th birthday in 2017 - you would have had to be born in 2004.

An angle that has undergone a half turn measures 180 degrees. In terms of geometric representation, this can be visualized as a straight line, where the two rays of the angle point in opposite directions. This configuration divides the plane into two equal halves.

The formula used to convert tons to metric tons

1 t * 1 metrictons

1.1023 t = 0.90718474 metrictons

OBTUSE /

Less 90 degrees ; ACUTE

90 degrees ; RIGHT ANGLE

Obtuse greater than 90 degrees but less than 180 degrees

180 degrees arc swept by a point on a straight line

REFLEX ; greater than 180 degrees but less than 360 degrees. ( The 'outside' of an acute or obtuse angle)/

NO!!!

To compare decimals

10.63 & 10.7

Bring both numbers to the same number of decimal places. Two in this case, by inserting a suffix '0'.

Hence

10.63 & 10.70

Drop the Decimal point

1063 & 1070

Drop the prefix '10'

63 & 70

You should recognise that 63 < 70 Hence it follows that 10.63 < 10.7

'8' is in the TENS xolumn , so it would be Eighty.

NB 784

7; hundred as it is the Hundreds column

8 ; as above

4 ; is in the UNITS column

Just add 25 to both sides of the inequality - that way, you will isolate the "x", i.e., solve for "x".

YES!!!!

NB -3.888.... ( recurring to infinity) is also rational.

All numbers are rational except those decimals that recur to infinity AND the decimal digits are NOT in any regular order. .

Example of a rational decimals 0.123123123.... Digits are in a regular order.

Examplkes if irrational numbers.

'pi' = 3.141592....

'e'= 2.71828....,

sqrt( prime numbers).

sqrt(2) = 1.414213562.....

NB An irrational number means it cannot be converted to a ratio/fraction.

'64'

1, 8. 27 . x . 125 . 216.

1^(3) , 2^(3) , 3^(3) , 4(3) , 5(3) , 6^(3) , .... n^(3) .

The dividend is the number being divided. In a fraction, the top number is the dividend and the bottom number is the divisor.

Fraction 3 9/10

Decimal ; 3.9

100

NO!!!!

To compare decimals

6.08 & 6.80

First drop the decimal point

608 & 680 You should be able to recognise that 608 < 680. Hence it follows that 6.08 < 6.80

Let the squares be 'x' & 'y'

Hence

x^(2) - y^(2) = 7

Factor

( x - y)( x + y) = 7

Since '7' is a prime number, we need two number that add to '7' and subtract to '1'.

They are 3, & 4

Hence

(4 - 3) ( 4 + 3) =

1(7) = 7

Algebraically, this is written as

a^(2) + b^(2) = h^(2) (The Pythagorean eq'n).

Perimeter is NOT squared.

Squaring calculated the area inside the perimeter.

The perimeter is the addition of the lines that form the edge/perimeter.

For the general straight line eq'n ; y = mx + c

'm' is the slope

'c' is the y-intercept.

For a pair of point on a graph ( x1,y1,) & ( x2,y2)

Then

m = {y1 - y2) / ( x1 -x2)

Note the 'y' co-ords go on the top , and the 'x' co-ods go on the botton.

Note also The position of first term '1' and the second '2' term. Otherwise you will have a wrongly calculated slope/gradient.

Wrong!!!!

Any number ends in '0' is divisible by '10'

Any number ending in '5', or '0' is divisible by '5'.

e.g.

1,000,000 ( one million) is divisible by both '5' & '10 / The respective answers are '- 200,000' and ,100,000;.

A number such as ' 1,000,001'. is NEITHER divisible by '5' NOR '10'.

Since 15324 is an even number ( ends in 0,2,4,6,8) it will divide by '2'

Hence

2. 15324

2)7662 Similarly

3)3831 Since 3831 is an ODD number we try '3' ; the next prime number.

1277 is a prime number.

Hence factors of 15324 are 2,2,3,1277

This question is rather poorly described. It could mean ;-

#1 ; (120/24) x 5

or

#2 ; 120/(24 x5)

Because the answers are different.

#1 ; (120/24) X 5 = 5 x 5 = 25

#2 ; 120/(24x 5) = 120/120 = 1

So you need to be a clearer in your question.

To simplify 76/100, you would first find the greatest common factor (GCF) of the numerator (76) and the denominator (100), which is 4. Dividing both numbers by 4 gives you 19/25. Therefore, the simplest form of 76/100 is 19/25.

Yes; but it's probably not hard in the way most people think.

A Level Maths is a big step up from GCSE because it focuses much more on problem-solving than memorising methods. Topics like calculus, trigonometry, logarithms, mechanics, and statistics all build on each other, so if you fall behind in one area, later topics become much tougher.

That said, thousands of students achieve high grades every year because consistent practice matters far more than natural talent. Maths also remains the most popular A-Level subject in the UK, which shows that while it's challenging, it's also highly valued by students and universities.

What helped me most was:

Practising past papers every week.

Reviewing mistakes instead of just checking answers.

Learning the why behind each method.

Following a structured revision plan rather than revising random topics.

If you're studying independently, resources like Exam.Tips, PMT, and official exam board materials are all useful for building a more organised revision routine.

So yes, A Level Maths is difficult—but it's absolutely manageable with consistent practice and the right approach.

48 x 10 = 480