Year 5 Maths Problems
The Beatles
|
Year |
Number of number one hit singles |
Weeks at the top of charts |
|
1963 |
4 |
18 |
|
1964 |
3 |
11 |
|
1965 |
3 |
11 |
|
1966 |
2 |
6 |
|
1967 |
2 |
10 |
|
1968 |
2 |
4 |
|
1969 |
2 |
9 |
Rolling Stones
|
Year |
Number of number one hit singles |
Number of top ten hits |
|
1963 |
0 |
0 |
|
1964 |
2 |
3 |
|
1965 |
3 |
4 |
|
1966 |
1 |
2 |
|
1967 |
1 |
2 |
|
1968 |
1 |
1 |
|
1969 |
1 |
1 |
Find the mode, median and mean averages for each column. When you have finished find the range for each column.
The Beatles
This table shows how many songs the Beatles featured on their albums.
|
Album title |
Number of songs featured |
|
Please Please Me |
14 |
|
With The Beatles |
14 |
|
A Hard Day’s Night |
13 |
|
Beatles ForSale |
12 |
|
Help |
14 |
|
Rubber Soul |
14 |
|
Revolver |
14 |
|
Sgt. Pepper’s Lonely Hearts Club Band |
13 |
|
Magical Mystery Tour |
11 |
|
The White Album |
30 |
|
Yellow Submarine |
15 |
|
Abbey Road |
17 |
|
Let it Be |
12 |
Find the mode, median and mean average number of songs included on a Beatles album.
Remember: The mode is the most common number. The median is the middle number when the numbers are placed in order of size. The mean is the total divided by the number of items in the set.
World Cup Football Maths – Mode, Mean and Median
|
Name |
Age |
Club |
Caps |
Position |
|
David James |
39 |
50 |
GK |
|
|
Robert Green |
30 |
West Ham |
10 |
GK |
|
Joe Hart |
23 |
Manchester City |
3 |
GK |
|
John Terry |
29 |
60 |
DF |
|
|
Jamie Carragher |
32 |
Liverpool |
36 |
DF |
|
Ashley Cole |
29 |
Chelsea |
78 |
DF |
|
Ledley King |
29 |
Tottenham Hotspur |
20 |
DF |
|
Glen Johnson |
25 |
Liverpool |
22 |
DF |
|
Matthew Upson |
31 |
West Ham |
19 |
DF |
|
Stephen Warnock |
26 |
Aston Villa |
1 |
DF |
|
Michael Dawson |
26 |
Tottenham Hotspur |
0 |
DF |
|
Gareth Barry |
29 |
36 |
MF |
|
|
Shaun Wright-Phillips |
26 |
31 |
MF |
|
|
Joe Cole |
28 |
Chelsea |
54 |
MF |
|
Michael Carrick |
28 23
|
Manchester United |
22 |
MF |
|
Aaron Lennon |
23 |
Tottenham Hotspur |
17 |
MF |
|
James Milner |
24 |
Aston Villa |
8 |
MF |
|
Frank Lampard |
31 |
Chelsea |
78 |
MF |
|
Steven Gerrard |
30 |
Liverpool |
80 |
MF |
|
Peter Crouch |
29 |
38 |
FW |
|
|
Jermain Defoe |
27 |
39 |
FW |
|
|
Emile Heskey |
32 |
58 |
FW |
|
|
Wayne Rooney |
24 |
Manchester United |
60 |
FW |
Mode -the number which occurs most often.
Median -the middle number. First list the set of numbers in size order. Then count in from both sides until you find the middle number in the set.
Mean -the average calculated by adding all the numbers together and then dividing the total by the number of numbers in the set
1. Work out the modal age of the England team.
2. Work out the median age of the England team.
3. Work out the mean age of the England team.
4. Work out the average number of caps won by the England team by finding the mean, mode and median. Which average is a better reflection of the data?
FOOTBALL WORD PROBLEMS
Use this league table to answer the following questions.
|
Pos |
Team |
P |
W |
D |
L |
F |
A |
GD |
Pts |
|
1 |
31 |
21 |
4 |
6 |
73 |
33 |
+40 |
67 |
|
|
2 |
Man Utd |
30 |
21 |
3 |
6 |
70 |
24 |
+46 |
66 |
|
3 |
29 |
20 |
4 |
5 |
69 |
27 |
+42 |
64 |
|
|
4 |
30 |
16 |
7 |
7 |
55 |
29 |
+26 |
55 |
|
|
5 |
30 |
15 |
6 |
9 |
49 |
30 |
+19 |
|
|
|
6 |
28 |
13 |
11 |
4 |
53 |
36 |
+17 |
50 |
|
|
7 |
29 |
13 |
11 |
5 |
41 |
24 |
+17 |
50 |
|
|
8 |
30 |
12 |
9 |
9 |
48 |
42 |
+6 |
45 |
|
|
9 |
30 |
12 |
8 |
10 |
31 |
34 |
-3 |
44 |
|
|
10 |
29 |
10 |
8 |
11 |
32 |
32 |
0 |
38 |
|
|
11 |
30 |
8 |
12 |
10 |
29 |
35 |
-6 |
36 |
|
|
12 |
30 |
8 |
10 |
12 |
40 |
46 |
|
34 |
|
|
13 |
29 |
9 |
7 |
13 |
31 |
48 |
|
34 |
|
|
14 |
31 |
8 |
8 |
15 |
36 |
56 |
-20 |
|
|
|
15 |
31 |
8 |
7 |
16 |
29 |
59 |
-30 |
31 |
|
|
16 |
30 |
7 |
7 |
16 |
25 |
49 |
-24 |
28 |
|
|
17 |
30 |
6 |
9 |
15 |
37 |
51 |
-14 |
27 |
|
|
18 |
31 |
6 |
6 |
19 |
31 |
64 |
-33 |
|
|
|
19 |
30 |
5 |
9 |
16 |
29 |
64 |
-35 |
24 |
|
|
20 |
30 |
6 |
4 |
20 |
28 |
53 |
-25 |
22 |
Remember teams get 3 points for a win, 1 point for a draw and 0 points for a loss.
P = Games played F = Goals scored
W = Games won A = Goals let in
D = Games drawn GD = Goal Difference
L = Games lost (Goals scored minus goals let in)
Pts. = Points
- 1. How many games have Man Utd, Arsenal and West Ham played in total?
- How many more goals have Sunderland scored thanWigan?
- How many games have Arsenal, Stoke and Fulham won?
- If Tottenham lost 21 points, how many points would they have?
- IfChelseawin their next game 5-0, how many goals will they have scored?
- IfBlackburnwere given an extra 19 points, how many points would they have?
- IfPortsmouthwin their next 5 games, how many points will they have?
- How many games have Man City not lost?
- How many games have Everton not won?
- Who is going to win the league?
Extension
11. How many points have Bolton got?
- How many points have Liverpoolgot?
- How many points have Burnleygot?
Word Problems
Remember to underline the important bits first and to decide what operation to do!
- The post office is selling eggs for £ 1.50 each or £4.00 for 3. Which is better value and why?
- 100g of chocolate is needed to make 1 small egg. A large egg needs 2 times this amount. How much chocolate is needed for 2 large and 2 small eggs?
- A packet of mini eggs contains 22 eggs. There are 44 children in Y5. How many packets should Mrs Rodger buy so that each child gets 3 eggs each?
- How much would these eggs be with 50% off?
Mars: £ 4.80 Nemo: £2.60 Ferrero: £ 6. 50
Now make up some problems for your friends to solve!!
