Everything

Question 1

What is the rule for multiplication with the same exponent

Answer 1

The exponent stays the same but you still multiply the bases

Question 2

What is the rule for multiplication with the same base but different exponents

Answer 2

You keep the base the same and add the exponents

Question 3

What does it mean to express a product of its prime factors

Answer 3

Find the multiplicities (shared prime factors) and multiply them together

Question 4

How do you find the highest common factor between two numbers

Answer 4

See which prime factors are in common and multiply them by each other

Question 5

How do you find the lowest common multiple between two numbers

Answer 5

Find all the prime factors and multiply them together (only do the multiplicities once each)

Question 6

A hexagon has 6 sides, what is the interior angle of each one

Answer 6

120 as a hexagon’s total interior sum is 720

Question 7

What is the name for a triangle with no equal sides/ angles

Answer 7

Scalene

Question 8

What are corresponding angles

Answer 8

Angles that are in the same position at each intersection, like the shape F. They are also equal

Question 9

What is the transversal

Answer 9

A line that crosses between two or more lines

Question 10

What are alternate angles

Answer 10

Angles on opposite sides of the transversal, like the shape Z, or backwards. They are also equal

Question 11

What are co interior angles

Answer 11

They are angles on the same side of the transversal and make a C shape. They add up to 180 (supplementary- only when two angles add to 180)

Question 12

What are vertically opposite angles

Answer 12

Two lines cross to make an X and they are opposite each other with equal angles.

Question 13

What are sample diagrams

Answer 13

They are a grid with all different outcomes filled in to make a pattern.

Question 14

A T-shirt costs £25 and it is reduced by 23% in à sale. How much does it cost now?

Answer 14

100% (og price) - 23% (theoretical price) = 77%=0.77
25x 0.77=19.25
Answer= 19.25

Question 15

Area of a trapezium

Answer 15

(a+b)h / 2. A and b are the parallel sides and h is the perpendicular (90 degrees) height

Question 16

What is anything to the power of 0

Answer 16

1

Question 17

What is mutually exclusive

Answer 17

There is no overlap in the events

Question 18

What are exhaustive events

Answer 18

Probabilities add up to make 1 (100%)

Question 19

what is the gradient formula

Answer 19

y/ x

Question 20

What is c in a line formulation

Answer 20

The y intercept

Question 21

What is the line formula on a graph

Answer 21

Y=mx + c

Question 22

What are the convsersions from area to volume

Answer 22

1cm2- 100mm
1m2-1000cm
1cm3-1000mm
1m3-1000000cm

Question 23

How do you know if a line in a graph is up or downhill

Answer 23

Uphill- y=x
Downhill- y=-x/ -y = x

Question 24

How to find the nth term

Answer 24

cd x n +0th term
(cd is the common difference between the numbers)

Question 25

How to find the midpoint of a line in a graph

Answer 25

Find the average of the x and y coordinates and put them in a bracket together

Question 26

How do graphs show how quick a cup is being filled up

Answer 26

If it is a straight line, the cup is vertically straight. If the cup is steep then flat, the bottom of the cup was narrower then got wider and vice versa

Question 27

Kim and Chris share £600 in the ratio 4;11, how much does Chris get?

Answer 27

4+11=15 15 so 600 divided by 15 is 40 so 1 is equal to 40. Chris is 4 so 40 x 4 is 160. The answer is £160

Question 28

A hat was reduced by 20% and the original price was £12. How much is it now?

Answer 28

(Finding a new price: multiply the decimal that the new price is worth and multiply it by the original value) 100% - 20%= 80% =0.8 0.8 x 12 =9.6 Answer: £9.60

Question 29

Grace invest £500 in an account which pays 2% interest a year. How much interest will she earn in 5 years?

Answer 29

(How to find interest: turn the percentage into a decimal and multiply it by the money they took out) 2%=0.02 (to turn it into a decimal) 0.02 x 500 =10 ( this is one year of interest) 10 x 5 =50 (as it was 5 years)

Question 30

What is the formula for percentage change

Answer 30

Change/ original x 100

Question 31

A car decreases in value by 40% to £7200. Find what it was worth before the fall

Answer 31

(How to find the original price: divide the new price by the decimal it is worth now) 1 - 0.4 =0.6 7200/ 0.6 =12,000 Answer: £12,000

Question 32

How much is one tonne

Answer 32

1000 kg

Question 33

How much is 1cm3

Answer 33

1ml

Question 34

How much inches/ cm is 1 foot

Answer 34

12 inches or 30.48 cm

Question 35

How much cm is one inch

Answer 35

2.54

Question 36

How much feet and cm is one yard

Answer 36

3 feet

Question 37

How much pints and litres in a gallon

Answer 37

8 pints or 4.5 litres

Question 38

How much pounds (lbs) in a stone

Answer 38

14

Question 39

How much ounces in a pound

Answer 39

16

Question 40

How much lbs in a kg

Answer 40

2.2

Question 41

How much pints in a litre

Answer 41

1.75

Question 42

How much km in a mile

Answer 42

1.6 (5miles in 8km)

Question 43

What is the mass triangle

Answer 43

Mass at the top then density and volume multiplied by each other at the end

Question 44

What is the distance triangle

Answer 44

Distance at the top then speed and time multiplied by each other at the end

Question 45

What is density measured in

Answer 45

g/ cm3

Question 46

What is line symmetry

Answer 46

Where you draw mirror lines across a shape and both sides will fold exactly together

Question 47

What is rotational symmetry

Answer 47

The numbers of time where you can rotate the shape into different positions to make it look the same. If it has only 1 position ( the original) it is called ‘order 1’ or ‘no rotational symmetry’

Question 48

How to do inverse proportion division in ratios

Answer 48

Simplify it to one person then divide the time on how much people there are.

Question 49

How to know which product is the best buy

Answer 49

Divide the grams it is worth by the cost in pennies to get the grams per penny and the highest volume of grams is cheapest, as you are getting more grams for cheaper