Y8 Cycle 2 Maths

Question 1

Brackets

Answer 1

Symbols used in pairs to group things together

Question 2

Expand

Answer 2

Multiplying to remove brackets

Question 3

How do you expand a single bracket?

Answer 3

To expand a single bracket, use the grid method and multiply all the terms

Question 4

How do you factorise multiple terms into a single bracket?

Answer 4

To factorise multiple terms into a single bracket, use the grid method, putting the highest common factor outside of the grid

Question 5

Less

Answer 5

A smaller amount

Question 6

Greater

Answer 6

A bigger amount

Question 7

Sequence

Answer 7

A list of numbers or objects in a special order

Question 8

What is a term to term rule for a sequence?

Answer 8

A term to term rule explains how you go from one number to the next number in a sequence, e.g. add 3.

Question 9

Difference

Answer 9

The result of subtracting one number from another

Question 10

Express

Answer 10

To write or say something in a certain way

Question 11

How do you express a number as a fraction of another number?

Answer 11

To express a number as a fraction of another number, divide it
by the other number.

Question 12

How do you express a number as a percentage of another?

Answer 12

To express a number as a percentage of another, first express it as a fraction, then convert the fraction into a percentage

Question 13

Increase

Answer 13

Make something bigger

Question 14

Decrease

Answer 14

Make something smaller

Question 15

Estimate

Answer 15

To find a value that is close enough to the right answer.

Question 16

Term

Answer 16

In algebra, a term is either a single number or variable, or numbers and variables multiplied together

Question 17

What is the nth term?

Answer 17

The nth term is a formula which allows us to find the value of any term in a sequence (e.g. if the nth term is 2n + 1, then the 10th term is 2 x 10 + 1)

Question 18

How do you find the nth term in a sequence?

Answer 18

Nth term = difference(n) + adjustment

Find the difference between the terms,
write out that times table, and then find the adjustment (which is how much is added or subtracted from the first term in the sequence)

e.g. nth term of 3,5,7,9 is 2n + 1

Question 19

Expression

Answer 19

In algebra, an expression is multiple terms grouped together with operators (such as + or x)

Question 20

Inequality

Answer 20

An inequality compares two values, showing if one is less than, or greater than, the other

Question 21

How do you solve an inequality?

Answer 21

Solving an inequality is like solving an equation. You can add, subtract, multiply, or divide on both sides until the variable is on its own.

Use a multiplication grid to expand double brackets, then collect like terms

Question 22

Solve

Answer 22

To find a value (or values) we can put in place of a variable that makes an equation true

Question 23

How do you solve an equation?

Answer 23

To solve an equation I want to find the value of x by using inverse operations on both sides of the equals sign

To solve an equation involving brackets, it can help to first expand the brackets, then solve as usual.

Question 24

Variable

Answer 24

A symbol for a value we don’t know yet. It is usually a letter like x or y

Question 25

Index

Answer 25

The index of a number tells us how many times to use it in a multiplication

Question 26

Multiplier

Answer 26

The number that you are multiplying by

Question 27

How do you increase or decrease an amount by a percentage?

Answer 27

To increase or decrease an amount by a percentage, you need to multiply by a decimal: the multiplier For an increase of 25%, the multiplier is 1.25 For a decrease of 15%, the multiplier is 0.85

Question 28

Standard Form

Answer 28

Standard form is a special way of writing numbers: a number between 1 and 10, multiplied by a power of 10

Question 29

How can you tell if a number is written in standard form?

Answer 29

A number is written in standard form if it is expressed as a number between 1 and 10, multiplied by a power of 10. * E.g. 4.7 x 10:3 is in standard form, but 350 x 10:6 is not (:3 and :6 are meant to be superscript

Question 30

How do you multiply, divide, add and subtract numbers in standard form?

Answer 30

To multiply and divide numbers in standard form group the ‘numbers’ and the powers of 10, then follow laws of indices and check the answer is still in standard form. To add or subtract numbers in standard form, convert them out of standard form, add/subtract, then convert back into standard form

Question 31

Significant Figures

Answer 31

The digits that are meaningful in a number. They are used to express it to the right degree of accuracy

Question 32

Reciprocal

Answer 32

The reciprocal of a number is 1 divided by it

Question 33

How do you multiply or divide the same number/term raised to different powers?

Answer 33

To multiply the same number/term raised to different powers, you can add the powers. E.g. 23 x 24 = 27 * To divide the same number/term raised to different powers, you can subtract the powers. E.g. a5 ÷ a2 = a3 (the 5, 2 and 3 are meant to be superscript!)