level 4
KS3 Revision work Level 4 1.
Number grids Here are the rules for a number grid. This number is the sum of the numbers in the middle row.
12
10
2
20
This number is the product of the numbers in the middle row.
Use the rules to write the missing numbers in these number grids.
12
4
7
9
10
24
3 marks
Hertfordshire La Schools
1
2.
Multiple and factor (a)
A three-digit number is a multiple of 4 What could the number be? Give an example.
.................... Now give a different example.
.................... 1 mark
(b)
A two-digit number is a factor of 100 What could the number be? Give an example.
.................... 1 mark
Now give a different example.
.................... 1 mark
Hertfordshire La Schools
2
3.
Party Leena buys balloons, hats and masks for a party. Write the missing numbers in the table.
Cost of each (£)
Number bought
Total cost (£)
Packets of balloons
4.95
5
.................
Hats
3.20
.................
41.60
Masks
.................
10
19.50 Total:................. 2 marks
4.
Getting There Look at this number chain.
3
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+ 4
7
×
2
14
3
(a)
Fill in the missing numbers in the circles below.
16
+ 48
×
13.5 1 mark
÷
13.5
50 1 mark
(b)
Fill in the missing numbers in the arrows below.
180
+
2700 1 mark
180
×
2700 1 mark
Hertfordshire La Schools
4
5.
Patterns on a grid I put square tiles on a large grid so that the tiles touch at the corners. The diagram shows part of my diagonal pattern. y 7
7 6
6 5
5 4
4 3
3 2
2 1
1 0 0
(a)
1
2
3
4
5
6
7
x
The bottom right-hand corner of tile 2 is marked with a Write the coordinates of this point. (
,
) 1 mark
(b)
Tile 4 touches two other tiles. Write the coordinates of the points where tile 4 touches two other tiles. (
,
)
(
,
) 1 mark
(c)
Write the coordinates of the points where tile 17 touches two other tiles. (
,
)
(
,
) 1 mark
Hertfordshire La Schools
5
(d)
I have 30 tiles to make a pattern on a grid. The pattern is a series of squares. y 7 6 5 4 3 2 1 0 0
1
2
3
4
5
6
7
x
I have used some of the 30 tiles to make my pattern. Do I have enough tiles left to make the next square, of side length 4? Show working to explain your answer.
2 marks
Hertfordshire La Schools
6
6.
Using rules (a)
These rules show how to get from one number to the next in these sequences. Use the rules to write the next two numbers in each sequence. Rule:
Add 8
4
12
................
................ 1 mark
Rule:
Multiply by 3
4
12
................
................ 1 mark
Rule:
Divide by 4 then add 11
4
12
................
................ 1 mark
Hertfordshire La Schools
7
(b)
A sequence of numbers starts like this: 30
22
18
Could the rule be Subtract 8? Yes
No
Explain your answer.
1 mark
7.
Calculations (a)
Write what the missing numbers could be in the empty boxes.
+
–
10
=
24 1 mark
3
×
×
=
30 1 mark
(b)
Find the answer.
48 4 = 1 mark
Hertfordshire La Schools
8
(c)
Find the answers.
524 – 249 = 1 mark
46 × 8 = 1 mark
144 9 = 1 mark
8.
Names These are the names of the twelve people who work for a company.
(a)
Ali
Claire
Kiki
Suki
Brian
Claire
Lucy
Tom
Claire
James
Ryan
Tom
What name is the mode?
............................... 1 mark
Hertfordshire La Schools
9
(b)
One person leaves the company. A different person joins the company. Now the name that is the mode is Tom. Write the missing names in the sentences below.
The name of the person who leaves is...............................
The name of the person who joins is............................... 1 mark
9.
a and b Look at this equation. 4+a=b
Write a pair of numbers for a and b to make the equation true.
a = ...............................
b = ............................... 1 mark
Now write a different pair of numbers for a and b to make the equation true.
a = ...............................
b = ............................... 1 mark
Hertfordshire La Schools
10
10.
What numbers? (a)
I think of a number. I call my number n
n
Then I add 5 to my number.
n+5
The answer is 8
n+5=8
What was my number?
n = ................ 1 mark
(b)
Solve this equation to find the value of m
m–2=8
m =................
1 mark
Hertfordshire La Schools
11
11.
Recycling rubbish The pie charts show what percentage of household rubbish is recycled in different countries. Key % of rubbish recycled % of rubbish not recycled
(a)
England
Germany
Norway
Spain
In England, about what percentage of rubbish is recycled? .................... % 1 mark
Hertfordshire La Schools
12
(b)
England wants to recycle 30% of rubbish by the year 2010. Which countries already recycle more than 30% of their rubbish? ................................................................... 1 mark
12.
Spinners On each spinner write five numbers to make the statements correct. It is certain that you will get a number less than 6
1 mark
It is more likely that you will get an even number than an odd number.
1 mark
Hertfordshire La Schools
13
It is impossible that you will get a multiple of 3
1 mark
13.
Survey Carlos and Mary each did a survey. (a)
Carlos asked people:
‘Have you ever been to North America?’
The percentage bar chart shows his results.
No
0%
20%
40%
Yes 60%
80%
100%
40 people said No. How many people said Yes?
............................... people 1 mark
Hertfordshire La Schools
14
(b)
‘Would you like to go to South America?’
Mary asked 10 people:
5 of the 10 people said ‘No’.
Results:
4 of the 10 people said ‘Don’t know’. 1 of the 10 people said ‘Yes’. Complete the percentage bar chart to show these results.
0%
20%
40%
60%
80%
100% 2 marks
14.
Coordinates Look at the graph.
y 8 7 A
6 5 4 3
C
2
B (2, 2)
1 0 0
Hertfordshire La Schools
1
2
3
4
5
6
7
8 x
15
(a)
Write down the coordinates of points A and C.
A is (
,
) 1 mark
C is (
,
) 1 mark
(b)
Point D can be marked so that ABCD is a rectangle. Mark point D accurately on the graph. 1 mark
Hertfordshire La Schools
16
15.
Babies The lengths of babies are measured at different ages. The graph shows the longest and shortest a baby boy is likely to be. longest baby boy
80 76 72
shortest baby boy
68
Length (cm)
64 60 56 52 48 44 0 0
(a)
4
8
12
16
20 24 28 Age (weeks)
32
36
40
44
48
Write the missing numbers below. A baby boy is 8 weeks old. The longest he is likely to be is about ......................... cm. 1 mark
The shortest he is likely to be is about ....................... cm. 1 mark
Hertfordshire La Schools
17
(b)
A 34 week old baby boy is 72 cm long. Put a cross on the graph to show this information. 1 mark
16.
Patterns I have a square grid and two rectangles.
grid
two rectangles
I make a pattern with the grid and the two rectangles:
The pattern has no lines of symmetry.
(a)
Put both rectangles on the grid to make a pattern with only one line of symmetry. You must shade the rectangles.
1 mark
Hertfordshire La Schools
18
(b)
Put both rectangles on the grid to make a pattern with rotation symmetry of order 2 You must shade the rectangles.
1 mark
Hertfordshire La Schools
19
17.
Fraction wall Look at the fraction diagram.
1 1 2
1 2
1 3 1 6
1 3 1 6
1 3
1 6
1 6
1 6
1 6
Write the missing numbers in the boxes below.
1
= 6
1 mark
1 = 2
6
1 mark
4 = 3
6
1 mark
Hertfordshire La Schools
20
Hertfordshire La Schools
21
18.
Jo places equilateral triangles in straight lines to make this sequence.
shape number 1
Hertfordshire La Schools
shape number 2
shape number 3
shape number 4
22
(a)
Which word below describes shape number 3? Put a ring round it. parallelogram
rhombus
pentagon
trapezium 1 mark
Hertfordshire La Schools
23
(b)
Look at the table below. Shape number
Perimeter
1
3cm
2
4cm
3
5cm
4
6cm
Jo makes shape number 15 What is the perimeter of shape number 15? ....................... cm 1 mark
Hertfordshire La Schools
24
19.
Grid shapes The diagram shows some shapes on a 10 by 6 square grid.
C A B
E D
Hertfordshire La Schools
25
(a)
Which two shapes have the same area as shape A?
............................... 1 mark
Hertfordshire La Schools
26
(b)
Which two shapes have the same perimeter as shape A?
............................... 1 mark
Hertfordshire La Schools
27
(c)
How many of shape C would you need to cover a 10 by 6 square grid?
............................... 1 mark
Hertfordshire La Schools
28
20.
Matchboxes The diagram shows a matchbox. Its length is 5.3 cm. Its width is 3.6 cm. Its height is 1.5 cm.
1.5 cm Not drawn accurately 3.6 cm 5.3 cm
Hertfordshire La Schools
29
(a)
I join two matchboxes in different ways. Fill in the missing values.
length =
cm 1 mark
width =
cm 1 mark
height =
cm
1 mark
Hertfordshire La Schools
30
(b)
I start joining matchboxes like this:
How many matchboxes will be in the pile when its height is 12 cm?
............................... 1 mark
21.
Measuring Steve needs to put 1 litre of water in a bucket. He has a 500 ml jug.
Hertfordshire La Schools
31
Explain how he can measure 1 litre of water.
1 mark
Hertfordshire La Schools
32
Number grids Here are the rules for a number grid. This number is the sum of the numbers in the middle row.
12
10
2
20
This number is the product of the numbers in the middle row.
Use the rules to write the missing numbers in these number grids.
12
4
7
9
10
24
3 marks
Hertfordshire La Schools
1
2.
Multiple and factor (a)
A three-digit number is a multiple of 4 What could the number be? Give an example.
.................... Now give a different example.
.................... 1 mark
(b)
A two-digit number is a factor of 100 What could the number be? Give an example.
.................... 1 mark
Now give a different example.
.................... 1 mark
Hertfordshire La Schools
2
3.
Party Leena buys balloons, hats and masks for a party. Write the missing numbers in the table.
Cost of each (£)
Number bought
Total cost (£)
Packets of balloons
4.95
5
.................
Hats
3.20
.................
41.60
Masks
.................
10
19.50 Total:................. 2 marks
4.
Getting There Look at this number chain.
3
Hertfordshire La Schools
+ 4
7
×
2
14
3
(a)
Fill in the missing numbers in the circles below.
16
+ 48
×
13.5 1 mark
÷
13.5
50 1 mark
(b)
Fill in the missing numbers in the arrows below.
180
+
2700 1 mark
180
×
2700 1 mark
Hertfordshire La Schools
4
5.
Patterns on a grid I put square tiles on a large grid so that the tiles touch at the corners. The diagram shows part of my diagonal pattern. y 7
7 6
6 5
5 4
4 3
3 2
2 1
1 0 0
(a)
1
2
3
4
5
6
7
x
The bottom right-hand corner of tile 2 is marked with a Write the coordinates of this point. (
,
) 1 mark
(b)
Tile 4 touches two other tiles. Write the coordinates of the points where tile 4 touches two other tiles. (
,
)
(
,
) 1 mark
(c)
Write the coordinates of the points where tile 17 touches two other tiles. (
,
)
(
,
) 1 mark
Hertfordshire La Schools
5
(d)
I have 30 tiles to make a pattern on a grid. The pattern is a series of squares. y 7 6 5 4 3 2 1 0 0
1
2
3
4
5
6
7
x
I have used some of the 30 tiles to make my pattern. Do I have enough tiles left to make the next square, of side length 4? Show working to explain your answer.
2 marks
Hertfordshire La Schools
6
6.
Using rules (a)
These rules show how to get from one number to the next in these sequences. Use the rules to write the next two numbers in each sequence. Rule:
Add 8
4
12
................
................ 1 mark
Rule:
Multiply by 3
4
12
................
................ 1 mark
Rule:
Divide by 4 then add 11
4
12
................
................ 1 mark
Hertfordshire La Schools
7
(b)
A sequence of numbers starts like this: 30
22
18
Could the rule be Subtract 8? Yes
No
Explain your answer.
1 mark
7.
Calculations (a)
Write what the missing numbers could be in the empty boxes.
+
–
10
=
24 1 mark
3
×
×
=
30 1 mark
(b)
Find the answer.
48 4 = 1 mark
Hertfordshire La Schools
8
(c)
Find the answers.
524 – 249 = 1 mark
46 × 8 = 1 mark
144 9 = 1 mark
8.
Names These are the names of the twelve people who work for a company.
(a)
Ali
Claire
Kiki
Suki
Brian
Claire
Lucy
Tom
Claire
James
Ryan
Tom
What name is the mode?
............................... 1 mark
Hertfordshire La Schools
9
(b)
One person leaves the company. A different person joins the company. Now the name that is the mode is Tom. Write the missing names in the sentences below.
The name of the person who leaves is...............................
The name of the person who joins is............................... 1 mark
9.
a and b Look at this equation. 4+a=b
Write a pair of numbers for a and b to make the equation true.
a = ...............................
b = ............................... 1 mark
Now write a different pair of numbers for a and b to make the equation true.
a = ...............................
b = ............................... 1 mark
Hertfordshire La Schools
10
10.
What numbers? (a)
I think of a number. I call my number n
n
Then I add 5 to my number.
n+5
The answer is 8
n+5=8
What was my number?
n = ................ 1 mark
(b)
Solve this equation to find the value of m
m–2=8
m =................
1 mark
Hertfordshire La Schools
11
11.
Recycling rubbish The pie charts show what percentage of household rubbish is recycled in different countries. Key % of rubbish recycled % of rubbish not recycled
(a)
England
Germany
Norway
Spain
In England, about what percentage of rubbish is recycled? .................... % 1 mark
Hertfordshire La Schools
12
(b)
England wants to recycle 30% of rubbish by the year 2010. Which countries already recycle more than 30% of their rubbish? ................................................................... 1 mark
12.
Spinners On each spinner write five numbers to make the statements correct. It is certain that you will get a number less than 6
1 mark
It is more likely that you will get an even number than an odd number.
1 mark
Hertfordshire La Schools
13
It is impossible that you will get a multiple of 3
1 mark
13.
Survey Carlos and Mary each did a survey. (a)
Carlos asked people:
‘Have you ever been to North America?’
The percentage bar chart shows his results.
No
0%
20%
40%
Yes 60%
80%
100%
40 people said No. How many people said Yes?
............................... people 1 mark
Hertfordshire La Schools
14
(b)
‘Would you like to go to South America?’
Mary asked 10 people:
5 of the 10 people said ‘No’.
Results:
4 of the 10 people said ‘Don’t know’. 1 of the 10 people said ‘Yes’. Complete the percentage bar chart to show these results.
0%
20%
40%
60%
80%
100% 2 marks
14.
Coordinates Look at the graph.
y 8 7 A
6 5 4 3
C
2
B (2, 2)
1 0 0
Hertfordshire La Schools
1
2
3
4
5
6
7
8 x
15
(a)
Write down the coordinates of points A and C.
A is (
,
) 1 mark
C is (
,
) 1 mark
(b)
Point D can be marked so that ABCD is a rectangle. Mark point D accurately on the graph. 1 mark
Hertfordshire La Schools
16
15.
Babies The lengths of babies are measured at different ages. The graph shows the longest and shortest a baby boy is likely to be. longest baby boy
80 76 72
shortest baby boy
68
Length (cm)
64 60 56 52 48 44 0 0
(a)
4
8
12
16
20 24 28 Age (weeks)
32
36
40
44
48
Write the missing numbers below. A baby boy is 8 weeks old. The longest he is likely to be is about ......................... cm. 1 mark
The shortest he is likely to be is about ....................... cm. 1 mark
Hertfordshire La Schools
17
(b)
A 34 week old baby boy is 72 cm long. Put a cross on the graph to show this information. 1 mark
16.
Patterns I have a square grid and two rectangles.
grid
two rectangles
I make a pattern with the grid and the two rectangles:
The pattern has no lines of symmetry.
(a)
Put both rectangles on the grid to make a pattern with only one line of symmetry. You must shade the rectangles.
1 mark
Hertfordshire La Schools
18
(b)
Put both rectangles on the grid to make a pattern with rotation symmetry of order 2 You must shade the rectangles.
1 mark
Hertfordshire La Schools
19
17.
Fraction wall Look at the fraction diagram.
1 1 2
1 2
1 3 1 6
1 3 1 6
1 3
1 6
1 6
1 6
1 6
Write the missing numbers in the boxes below.
1
= 6
1 mark
1 = 2
6
1 mark
4 = 3
6
1 mark
Hertfordshire La Schools
20
Hertfordshire La Schools
21
18.
Jo places equilateral triangles in straight lines to make this sequence.
shape number 1
Hertfordshire La Schools
shape number 2
shape number 3
shape number 4
22
(a)
Which word below describes shape number 3? Put a ring round it. parallelogram
rhombus
pentagon
trapezium 1 mark
Hertfordshire La Schools
23
(b)
Look at the table below. Shape number
Perimeter
1
3cm
2
4cm
3
5cm
4
6cm
Jo makes shape number 15 What is the perimeter of shape number 15? ....................... cm 1 mark
Hertfordshire La Schools
24
19.
Grid shapes The diagram shows some shapes on a 10 by 6 square grid.
C A B
E D
Hertfordshire La Schools
25
(a)
Which two shapes have the same area as shape A?
............................... 1 mark
Hertfordshire La Schools
26
(b)
Which two shapes have the same perimeter as shape A?
............................... 1 mark
Hertfordshire La Schools
27
(c)
How many of shape C would you need to cover a 10 by 6 square grid?
............................... 1 mark
Hertfordshire La Schools
28
20.
Matchboxes The diagram shows a matchbox. Its length is 5.3 cm. Its width is 3.6 cm. Its height is 1.5 cm.
1.5 cm Not drawn accurately 3.6 cm 5.3 cm
Hertfordshire La Schools
29
(a)
I join two matchboxes in different ways. Fill in the missing values.
length =
cm 1 mark
width =
cm 1 mark
height =
cm
1 mark
Hertfordshire La Schools
30
(b)
I start joining matchboxes like this:
How many matchboxes will be in the pile when its height is 12 cm?
............................... 1 mark
21.
Measuring Steve needs to put 1 litre of water in a bucket. He has a 500 ml jug.
Hertfordshire La Schools
31
Explain how he can measure 1 litre of water.
1 mark
Hertfordshire La Schools
32
