Higher GCSE

Predictions

Topics

Higher GCSE Topics

Practice questions for every higher GCSE topic with papers self-mark so you can track progress.

Averages from a list

Find the mean, median and mode from lists and stem and leaf diagrams

Grade
 
1
2
3
4
5
6
7
8
9

Averages from frequency tables

Find the mean, median and mode from frequency tables and line charts

Grade
 
1
2
3
4
5
6
7
8
9

Averages from grouped frequency tables

Find the mean, median and modal class from grouped frequency tables and histograms

Grade
 
1
2
3
4
5
6
7
8
9

Averages from unequal grouped frequency tables

Find the mean, median and modal class from unequal grouped frequency tables and histograms

Grade
 
1
2
3
4
5
6
7
8
9

Bar charts

Draw and interpret bar charts and line charts including multiple and composite bar charts

Grade
 
1
2
3
4
5
6
7
8
9

Birth and death rates

Grade
 
1
2
3
4
5
6
7
8
9

Box plots

Construct and interpret box plots using quartiles, median, IQR, range and outliers

Grade
 
1
2
3
4
5
6
7
8
9

Calculating outliers

Identify and construct outliers using quartiles, IQR, box plots, mean and standard deviation

Grade
 
1
2
3
4
5
6
7
8
9

Calculating skew

Calculate and interpret skew using mean, median and standard deviation from data and sums

Grade
 
1
2
3
4
5
6
7
8
9

Calculating Spearman’s rank correlation coefficient

Calculate Spearman’s rank correlation coefficient by ranking data, finding d² and interpreting results

Grade
 
1
2
3
4
5
6
7
8
9

Categorical, ordinal and bivariate data

Classify categorical, ordinal and bivariate data and suggest suitable bivariate data to collect

Grade
 
1
2
3
4
5
6
7
8
9

Census and sampling

Understand populations and sampling including census, samples, bias, sampling frames and sampling units

Grade
 
1
2
3
4
5
6
7
8
9

Chain base index numbers

Grade
 
1
2
3
4
5
6
7
8
9

Choropleth maps

Interpret choropleth maps including identifying patterns, finding values and comparing distributions

Grade
 
1
2
3
4
5
6
7
8
9

Collecting data

Choose and design suitable data collection methods including simulations, experiments, data sheets and explanatory and response variables

Grade
 
1
2
3
4
5
6
7
8
9

Comparative pie charts

Interpret and construct comparative pie charts including frequency, radius, totals and proportions

Grade
 
1
2
3
4
5
6
7
8
9

Compare data sets

Compare data using bar charts, tables, histograms and box plots with averages and spread

Grade
 
1
2
3
4
5
6
7
8
9

Compare IPR, SD and histograms

Compare data using percentiles, means, standard deviation and unequal histograms

Grade
 
1
2
3
4
5
6
7
8
9

Conditional probability

Grade
 
1
2
3
4
5
6
7
8
9

Control groups and matched pairs

Understand experimental design including control groups and matched pairs

Grade
 
1
2
3
4
5
6
7
8
9

Cumulative frequency diagrams

Draw and interpret cumulative frequency graphs to estimate values and find the median

Grade
 
1
2
3
4
5
6
7
8
9

Cumulative frequency step polygons

Draw and interpret cumulative frequency step polygons including completing tables and finding cumulative frequencies

Grade
 
1
2
3
4
5
6
7
8
9

Describing skew

Describe skewness using histograms, frequency polygons, box plots and averages

Grade
 
1
2
3
4
5
6
7
8
9

Draw and describe scatter diagrams

Complete and interpret scatter diagrams, correlation, axis labels and causation

Grade
 
1
2
3
4
5
6
7
8
9

Experimental probability

Grade
 
1
2
3
4
5
6
7
8
9

Extraneous variables

Identify and control extraneous variables to improve the validity and reliability of investigations

Grade
 
1
2
3
4
5
6
7
8
9

Frequency polygons

Draw and interpret frequency polygons including identifying identifying groups and comparing distributions

Grade
 
1
2
3
4
5
6
7
8
9

General addition law

Grade
 
1
2
3
4
5
6
7
8
9

Geometric mean

Find the geometric mean from data and from percentages

Grade
 
1
2
3
4
5
6
7
8
9

Grouping data

Create and evaluate grouped frequency tables including groups with dashes and decimal data

Grade
 
1
2
3
4
5
6
7
8
9

Histograms

Draw and interpret histograms using frequency density including completing tables and estimating frequencies

Grade
 
1
2
3
4
5
6
7
8
9

Histograms with equal class widths

Draw and interpret equal class width histograms including finding frequencies, totals and values within intervals

Grade
 
1
2
3
4
5
6
7
8
9

Independent events

Grade
 
1
2
3
4
5
6
7
8
9

Index numbers

Grade
 
1
2
3
4
5
6
7
8
9

Interpercentile and interdecile range

Find deciles, IDR and IPR from percentiles and cumulative frequency graphs

Grade
 
1
2
3
4
5
6
7
8
9

Interpreting data tables

Read and interpret data and frequency tables including matching values and finding totals

Grade
 
1
2
3
4
5
6
7
8
9

Interquartile range

Find the IQR from lists, frequency tables, stem and leaf diagrams and grouped data

Grade
 
1
2
3
4
5
6
7
8
9

Line of best fit

Draw and interpret lines of best fit, estimates, interpolation, extrapolation, gradient and y-intercept

Grade
 
1
2
3
4
5
6
7
8
9

Linear scaling and translations

Understand how scaling and translation affect the mean, median and mode and transform data to find averages

Grade
 
1
2
3
4
5
6
7
8
9

Mean seasonal variation and predicted values

Find mean seasonal variation and use trend lines to make and assess time series predictions

Grade
 
1
2
3
4
5
6
7
8
9

Misleading diagrams

Identify misleading statistics graphs and charts and explain why they misrepresent data

Grade
 
1
2
3
4
5
6
7
8
9

Moving averages

Calculate and interpret moving averages, trend lines and trends on time series graphs

Grade
 
1
2
3
4
5
6
7
8
9

Multivariate stratified sampling

Apply multivariate stratified sampling including choosing suitable strata and calculating sample sizes

Grade
 
1
2
3
4
5
6
7
8
9

Mutually exclusive and exhaustive events

Grade
 
1
2
3
4
5
6
7
8
9

Non-random sampling

Identify non-random sampling methods including quota, judgement, opportunity and cluster sampling and evaluate them

Grade
 
1
2
3
4
5
6
7
8
9

Outliers and cleaning data

Identify and handle anomalous data including correcting units and cleaning datasets

Grade
 
1
2
3
4
5
6
7
8
9

Pearson’s product moment correlation coefficient

Select and interpret PMCC, compare correlation strength and identify non-linear relationships

Grade
 
1
2
3
4
5
6
7
8
9

Percentiles and quartiles on graphs

Estimate the IQR, median and percentiles from cumulative frequency graphs and grouped tables

Grade
 
1
2
3
4
5
6
7
8
9

Peterson capture/recapture

Understand and apply capture-recapture sampling including estimating population size, assumptions and issues

Grade
 
1
2
3
4
5
6
7
8
9

Pictograms

Read and complete pictograms including whole and partial symbols, keys and identifying the highest value

Grade
 
1
2
3
4
5
6
7
8
9

Pie charts

Interpret and construct pie charts including finding frequencies and identifying the most and least popular categories

Grade
 
1
2
3
4
5
6
7
8
9

Population pyramids

Draw and interpret population pyramids including age groups, birth rates and explaining their shapes

Grade
 
1
2
3
4
5
6
7
8
9

Primary and secondary data

Identify primary and secondary data sources, compare their advantages and disadvantages and assess suitability

Grade
 
1
2
3
4
5
6
7
8
9

Probability scales

Understand probability language, scales and why events are not always equally likely

Grade
 
1
2
3
4
5
6
7
8
9

Questionnaires and interviews

Evaluate questionnaires and interviews including confidentiality, question design, bias and leading questions

Grade
 
1
2
3
4
5
6
7
8
9

Random response technique

Understand and apply the random response technique including its purpose, methods, estimation and limitations

Grade
 
1
2
3
4
5
6
7
8
9

Random sampling

Understand random sampling including selecting representative samples, identifying sampling issues and using random number generation

Grade
 
1
2
3
4
5
6
7
8
9

Range

Find the range from lists, frequency tables, stem and leaf diagrams and grouped data

Grade
 
1
2
3
4
5
6
7
8
9

Regression line

Find regression line equations, gradients and compare lines of best fit in context

Grade
 
1
2
3
4
5
6
7
8
9

Risk

Grade
 
1
2
3
4
5
6
7
8
9

RPI, CPI and GDP

Grade
 
1
2
3
4
5
6
7
8
9

Sample space diagrams

Grade
 
1
2
3
4
5
6
7
8
9

Selecting an average

Choose the best average (mean, median or mode) based on data and extreme values

Grade
 
1
2
3
4
5
6
7
8
9

Spearman’s rank correlation coefficient

Select and interpret SRCC, compare correlations and evaluate conclusions

Grade
 
1
2
3
4
5
6
7
8
9

Standard deviation

Find standard deviation from lists, calculations and frequency tables

Grade
 
1
2
3
4
5
6
7
8
9

Standardised birth and death rates

Grade
 
1
2
3
4
5
6
7
8
9

Stem and Leaf diagrams

Draw and interpret stem and leaf diagrams including decimals, back-to-back diagrams and identifying key values

Grade
 
1
2
3
4
5
6
7
8
9

Stratified sampling

Understand stratified sampling including identifying strata, evaluating the method and calculating appropriate sample sizes

Grade
 
1
2
3
4
5
6
7
8
9

Systematic sampling

Understand and apply systematic sampling including sampling intervals, selecting numbers and evaluating the method

Grade
 
1
2
3
4
5
6
7
8
9

Tally charts

Create and interpret tally charts including completing frequencies, identifying errors and organising raw data

Grade
 
1
2
3
4
5
6
7
8
9

Time series graphs

Draw and interpret time series graphs, trends, quarters and seasonal patterns

Grade
 
1
2
3
4
5
6
7
8
9

Tree diagrams for independent events

Grade
 
1
2
3
4
5
6
7
8
9

Two-way tables

Construct and interpret two-way tables including completing tables and finding missing values

Grade
 
1
2
3
4
5
6
7
8
9

Types of data

Identify qualitative, quantitative, discrete and continuous data and give suitable examples

Grade
 
1
2
3
4
5
6
7
8
9

Venn diagrams

Grade
 
1
2
3
4
5
6
7
8
9

Weighted index numbers

Grade
 
1
2
3
4
5
6
7
8
9

Weighted mean

Find weighted means from ratings, percentages, amounts, tables and combined means

Grade
 
1
2
3
4
5
6
7
8
9

Writing a hypothesis

Form and evaluate statistical hypotheses including identifying variables and deciding what data to collect

Grade
 
1
2
3
4
5
6
7
8
9