Maths paper 1 revision topics

Question 1

How to convert kg to g

Answer 1

You multiply the number of kg by 1000 (×1000)

Question 2

How to convert km to m

Answer 2

You multiply the number of km by 1000 (x1000)

Question 3

How to convert grams into kg

Answer 3

You divide the number of grams by 1000 (÷1000)

Question 4

How to change metres to km

Answer 4

Divide the number of metres by 1000 (÷1000)

Question 5

How to convert metres into millimetres

Answer 5

You multiply the number of metres by 1000 (×1000)

Question 6

How to convert millilitres into litres

Answer 6

Divide the number of millilitres by 1000 (÷1000)

Question 7

How to change millimetres (mm) into metres

Answer 7

You divide the number of millimetres by 1000 (÷1000)

Question 8

How to change litres into millilitres (ml)

Answer 8

You multiply the number of litres by 1000 (×1000)

Question 9

How to change centimetres to metres

Answer 9

Divide the number of centimetres by 100 (÷100)

Question 10

How to change metres to centimetres

Answer 10

You multiply the number of metres by 100 (×100)

Question 11

How to change centimetres to millimetres

Answer 11

You multiply the number of centimetres by 10 (x10)

Question 12

100 people were asked if they prefer tea or coffee. 55 of the people were boys, the rest were girls. 21 of the girls prefer tea, 60 people prefer coffee

Complete the frequency table

Answer 12

Total boys and girls = 100
Boys= 55
100 - 55 = 45
Girls = 45
21 of the girls prefer tea
45 - 21 = 24
24 girls prefer coffee
60 - 24 = 36 36 boys prefer coffee
55 - 36 = 19 so 19 boys prefer tea

Question 13

200 people are surveyed to see if they preferred idea A or idea B. 107 of the people are women, the rest are men. 52 out of the 112 people who prefer idea B are women.

Complete the frequency tree

Answer 13

200 people in total men and women
107 women
200 - 107 = 93 so there’s 93 men in total
52 women prefer idea B
60 men prefer idea B
107 - 52 = 55 women prefer idea A
93 - 60 = 33 men prefer idea A

Question 14

B.) One of the people is selected at random write down the probablity that they prefer idea A?

C.) One of the people who prefer idea A is chosen at random write down the probability that they are a man

Answer 14

B.) 33 men prefer idea A and 55 women prefer idea A
55+33=88
All together there is a total of 200 people
Answer = 88/200

C.) 33 men prefer idea A
55 women prefer idea A
55+33=88
Therefore the probability it’s a man not a woman is 33/88

Question 15

1.) How do you find the area of a shape on a centimetre grid?
2.) How do you find the perimeter of a shape on a centimetre grid

Answer 15

1.) Add up all the whole squares you can see in the shape. If there are full squares and half squares add up all the full squares and include adding half squares
2.) Add all the lengths together you can see for example on a rectangle 2 sides are 6cm and the other 2 sides are 3cm (6+6+3+3 =18cm)

Question 16

1.) How do you work out the area of a rectangle
2.) How do you work out the perimeter of a rectangle

Answer 16

1.) To work out the area of a rectangle you do Length x Width
2.) To work out the perimeter of a rectangle you add up the length and width and then multiply the number you get by 2

Question 17

1.) How do you work out the area of a parallelogram
2.) How do you work out the perimeter of a parallelogram

Answer 17

1.) To work out the area of a parallelogram you do base × height

2.) To work out the perimeter of a parallelogram you add up the lengths of all 4 sides

Question 18

1.) How do you work out the area of a triangle
2.) How do you work out the perimeter of a triangle

Answer 18

1.) To work out the area of a triangle you work out 1/2 of the base and then × that number by the height or you can × the base by the height of a triangle and then divide the number 2

2.) To work out the perimeter of a triangle you add up all the lengths of the 3 sides together

Question 19

1.) How do you work out the area of a trapezium
2.) How do you work out the perimeter of a trapezium

Answer 19

1.) Add together the lengths of the 2 parallel sides, you then divide this number by 2 and then × this number by the height of the trapezium

2.) Adding all of the sides together

Question 20

What is the circumference of a circle and how do you work it out?

Answer 20

The circumference of a circle is the distance around the circle and is another name for the perimeter
To work out the circumference of a circle = pie symbol x the diameter

Question 21

1.) What is the diameter of a circle

2.) What is the radius of a circle

3.) What is the difference between the diameter and the radius of a circle

Answer 21

1.) The diameter of a circle is the distance from one side of a circle to the other through the centre

2.) The radius is the distance from the edge of a circle to the centre

3.) The diameter is always twice as long as the radius of a circle
If a pizza has a radius of 16cm
16 × 2 = 32
Then the diameter is 32cm

Question 22

How do you work out the area of a circle

Answer 22

To find out the area of a circle you locate the radius which is the distance from the edge of the circle to the centre. You then multiply this number by itself and then × the answer by pie on calculator

Question 23

What is the formula for pythagoras theorem

Answer 23

a² + b² = c²

Question 24

What is the sum of interior angles

Answer 24

minus the total number of sides by 2 and then × the number by 180
(n-2) ×180

Question 25

1.) How do you work out the mean of a set of numbers

Answer 25

Add up all the numbers and then divide the total by how many numbers there are

Question 26

How do you work out the median of a set of numbers

Answer 26

Place all the numbers in order from smallest to largest and then cross of the numbers left to right until you find the middle value

Question 27

How do you work out the range of a set of numbers

Answer 27

The largest number - the smallest number

Question 28

How do you work out the mode of a set of numbers

Answer 28

The most frequent number in a list that is being used the most