maths revison

Question 1

Number

Answer 1

Definition: The value of each digit in a number based on its position.
Example: In 3,472
3,472, the place value of 3 is 3 thousand, 4 is 4 hundreds, 7 is 7 tens, and 2 is 2 ones.

Question 2

rounding

Answer 2

Definition: Reducing the digits of a number while keeping its value close to the original.
Example: Rounding 4.67 to one decimal place gives 4.7

Question 3

Decimal Fractions Percentages

Answer 3

Definition: Ways of representing parts of a whole.
Example:
Fraction: 3/4
Decimal: 0.75
Percentage: 75%

Question 4

Standard Form

Answer 4

Definition: A way to express very large or small numbers using powers of 10.
Example: 500,000=5× 5
10

Question 5

Square Roots and cube roots

Answer 5

Definition: The square root is the number that, when multiplied by itself, gives the original number. The cube root is the number that, when multiplied by itself three times, gives the original number.

Question 6

simplifying expressions

Answer 6

Definition: Combining like terms to make an expression simpler.
Example: 3𝑥+2𝑥=5𝑥

Question 7

Expanding Brackets

Answer 7

Definition: Distributing a term across a set of parentheses.
Example:2(x+3)=2x+6

Question 8

Solving linear equations

Answer 8

Definition: Finding the value of the variable that makes the equation true.
Example:
2x+3=7 2x=2

Question 9

Simultaneous Equations

Answer 9

Definition: Two or more equations that are solved together to find the values of unknowns.
Example:
𝑥+𝑦=5
x−y=1
Solution: 𝑥=3, 𝑦=2

Question 10

Inequalities

Answer 10

Definition: Mathematical expressions where the two sides are not equal but are compared using <, >, ≤, or ≥.

Question 11

Ratio

Answer 11

Definition: A way to compare two quantities.
Example: The ratio of 3 red balls to 5 blue balls is written as 3:5

Question 12

proportion

Answer 12

Definition: An equation that shows two ratios are equal.
Example: If 3:4= x:12 then x =9

Question 13

trigonometry

Answer 13

the angle always goes after tan cos sin and if times you put the number Infront and if divide put number then divide and when working out and its always minus 1 then angle over angle

Question 14

mean

Answer 14

the average (sum of all values divided by the number of values).

Question 15

median

Answer 15

The middle value in an ordered data set.

Question 16

mode

Answer 16

value that appears most often

Question 17

range

Answer 17

The difference between the highest and lowest values in a data set.

Question 18

Cosine rule side

Answer 18

a =b+c -2bccos(A)
ABC are squared

Question 19

Cosine rule angle

Answer 19

B+c-a
Cos a = 2bc
ABC are squared