


Number
Algebra
Shape, Space & Measure
Answers
to Print Offs
Data Picking Game
This game requires an understanding of frequency tables
for the organisation of data as well as the various charts,
which are offered for interpretation. Level 1 shows simple
pie charts, Level 2 a selection of line graphs, histograms
and pie charts and Level 3 simple scatter charts.
Level 1
Ten students offer information about their families, pets
and favourite sports. The pie charts are identified by
shapes, which match the frequencies in the frequency chart.
Comparisons are based on ideas such as: there are three
the same; there is one very small frequency; one has zero
frequency; etc (National Curriculum Handling Data Level
4).
Level 2
The same ten students now offer information about the
CDs they own, pocket money or shoesize. The data is grouped
so histograms and line charts are offered as well as pie
charts. A match is sought between the frequency chart
and the drawings in a similar way to that of Level 1 (National
Curriculum Handling Data Level 4 to 5).
Level 3
The same ten students offer data pairs, which are shown
on scatter charts. A match is sought on the basis of:
positive correlation for data pairs which are both low
or both high; negative correlation for data pairs which
are opposites (one low when the other is high); or no
correlation for data pairs with neither of the tendencies
described above (National Curriculum Handling Data
Level 5 to 7).
Words, Words, Words Print Offs
The sheets investigate different aspects of the English
language. Level 1 explores the usage of the letters in
a piece of writing, Level 2 the number of words in samples
of sentences and Level 3 the proportion of vowels in a
mathematical vocabulary list. Each investigation has a
structure which can be extended to further work.
Level 1
A passage of text and a frequency chart are supplied and
one suitable concluding statement is given which can be
used to end the investigation (National Curriculum
Handling Data Level 3).
Level 2
Samples of newsprint from 2 papers are needed for this
Level. One comparison of style is made and more are suggested
(National Curriculum Handling Data Level 4 to 5).
Level 3
A list of words is examined for the proportion of vowels.
The data is the percentage of vowels in each word and
is grouped. A histogram is required as part of the analysis
and a suitable concluding sentence is offered (National
Curriculum Handling Data Level 5 to 6).
Fish Tank Game
Throughout the game it is assumed that catching red or
yellow fish are equally likely outcomes. This game requires
an understanding of probability and fractions. At Level
1, a number of fish are seen in a tank and the instruction
is to express the probability of catching a red fish as
a fraction. At Level 2 and 3 the required probability
is given as a fraction and fish are placed in the tank
to produce this probability.
Level 1
The number of red fish is placed as the numerator and
the total number of fish as the denominator of a fraction.
It is not necessary to write the fraction in its lowest
terms (National Curriculum Handling Data Level 5, Number
and Algebra Level 4).
Level 2
A required probability is achieved by expressing the given
fraction in various equivalent forms until it is possible
to achieve one of these by adding red or yellow fish to
the tank. No more than 3 of either type of fish can be
added to the tank. If a fish is added in error, it can
be removed. Fractions are restricted to multiples of 1/3
1/4 and 1/5 (National Curriculum Handling Data Level
5, Number and Algebra Level 5).
Level 3
This is the same game as Level 2 but a wider range of
fractions are used. Fractions are multiples of 1/6, 1/7,
1/8, 1/9. Decimals are also used, including multiples
of 0.25 and 0.1 (National Curriculum Handling Data
Level 5, Number and Algebra Level 6).
Probability Print Offs
A selection of shapes or numbers are offered and decisions
about probabilities of equally likely outcomes are required.
At Level 1 shapes are used. At Levels 2 and 3 knowledge
of factors, multiples, prime numbers, squares, cubes and
triangle are required to identify the numbers.
Level 1
The student is expected to count the shapes and write
a fraction to represent the probability of a particular
outcome (National Curriculum Handling Data Level 4
to 5).
Level 2
The student should know multiplication facts up to 10
x 10 and be able to use these to find multiples and factors
of numbers. The identification of prime numbers, square
numbers and triangle number is essential for success at
this level (National Curriculum Handling Data Level
45, Number and Algebra Level 4).
Level 3
A larger selection of numbers is given for this level.
The tasks involved are the same as those at Level 2 (National
Curriculum Handling Data Level 4 to 5, Number and Algebra
Level 4).
Train Race Game
This game can be used to extend a basic understanding
of the median, mean and range. Data about particular trains
is given from which estimates of the arrival time are
calculated. The reliability of a particular train is assessed
by the size of its range: a train is judged to be more
reliable than another if it has a smaller range.
Level 1
The departure times are on the hour and the journey times
are in whole numbers of hours (National Curriculum
Handling Data Level 4, Shape and Space Level 4).
Level 2
The departure times are on the halfhours or quarterhours
and the calculated means involve multiples of 12 minutes
(National Curriculum Handling Data Level 4, Shape and
Space Level 4 to 5).
Level 3
The departure times are written as hours and minutes.
The journey times are whole number of minutes (National
Curriculum Handling Data Level 4, Shape and Space Level
5).
School Sports Day Print Offs
Four teams take part in various field and track events.
Competitors are selected using either the median or mean
of three past performances together with the range of
these results. The reliability of a particular competitor
is assessed using the range: a competitor is judged to
be more reliable than another if s/he has a smaller range
in performance.
Level 1
The sheet has four field events with two students per
team. A choice is made between the pairs based on the
median and range of three past performances. The results
are all in metres and have no more than 2 decimal places
(National Curriculum Handling Data Level 4, Shape and
Space Level 4).
Level 2
There are three field events with two students per team.
A choice is made between the pairs based on the mean and
range of three past performances. The results are all
in seconds and have no more than 2 decimal places (National
Curriculum Handling Data Level 4, Shape and Space Level
4 to 5).
Level 3
There are three field events with two students per team.
A choice is made between the pairs based on the mean and
range of three past performances. The times are given
in minutes and seconds and an understanding of false means
would assist the calculation of mean times (National
Curriculum Handling Data Level 5, Shape and Space Level
4 to 5).
Data
Handling  National Curriculum 
Curriculum
Tier 
3 
4 
5 
6 
7 
8 
Data
Picking 

Level
1
Level 2 
Level
1
Level 2 
Level
3 
Level
3 

Words,
Words, Words 
Level
1 
Level
2 
Level
2
Level 3 
Level
3 


Fish
Tank 


Level
1
Level 2 
Level
2
Level 3 
Level
3 

Probability 

Level
1 
Level
2
Level 3 



Train
Race 

Level
1 
Level
2
Level 3 
Level
3 


School
Sports Day 


Level
1
Level 2 
Level
2
Level 3 






