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National 5 Applications of Mathematics

Finance, Geometry, Measurement, Numeracy, Statistics, Graphical Data & Probability

Course Overview

The course is based on:

Finance, Geometry, Graphical Data & Probability, Measurement, Numeracy, Statistics.
An external SQA exam is sat at the end of the course, with calculator and non-calculator papers.

Scholar Check List Nat 5 Apps Past Papers QS Nat 5 Applications of Maths

National 4 Applications National 5 Maths Higher Applications

Alphabetical Listing of Topics

Area & Volume Basic Statistics Box Plots / Other Statistics Bills, Loans & Interest Calculations & Rounding Container Packing Foreign Exchange Fractions, Percentages, Ratio Gradients Income Line of Best Fit Navigation Probability Pythagoras Statistical Diagrams Time Tolerance / Measurement
Finance

Key Subskills

Analysing and interpreting factors affecting income.
Analysing a financial position using budget information.
Determining the best deal, given three pieces of information.
Converting between several currencies.
Investigating the impact of interest rates on savings and borrowing.

Banking & Finance

Banking and Finance Links By the rule of 3 Profit and Loss Percentage profit and loss Back Percentage VAT Appreciation Depreciation

Income

Payslips Net Pay Overtime Superannuation Income tax National Insurance

Bills & Loans

Utility Bills Loans Hire Purchase Insurance Simple Interest Compound Interest

Foreign Exchange

Foreign Exchange Unitary Conversions
Geometry

Key Subskills

Investigating a situation involving gradient.
Solving a problem involving a composite shape which includes part of a circle.
Solving a problem involving the volume of a composite solid.
Using Pythagoras’ theorem within a two-stage calculation.

Gradients

The straight line Gradients

Area & Volume

Area of a parallelogram Area of a rhombus Area of composite shapes Surface area Volume of cubes and cuboids Volume of prism Volume of a sphere Volume of a cone Volume of a pyramid Scaled area Scaled volume

Pythagoras

The theorem of Pythagoras Finding the hypotenuse Finding a short side Hidden Pythagoras
Numeracy

Key Subskills

Perform calculations including multiplication and division.
Round answers to the nearest significant figure or two decimal places.
Interpret results of measurements involving time, length, weight, volume and temperature.
Find simple percentages and fractions of shapes and quantities.
Calculate rate (e.g. miles per hour, texts per month).
Calculate ratio and direct proportion.
Use measuring instruments with straightforward scales.
Read scales to the nearest marked, unnumbered division with a functional degree of accuracy.

Calculations & Rounding

Adding Subtracting Multiplying Dividing Multiply decimals Dividing decimals Adding and subtracting negative numbers Multiplying integers Dividing integers BODMAS Rounding Rounding decimals Significant figures Scientific Notation (Standard Form)

Fractions, Percentages, Ratio

Fractions of amounts VAT Basic percentages Converting between fractions, decimals and percentages Using 1% and 10% Percentage increase and decrease Percentage of a total Use a ratio Proportion Direct proportion The rule of 3

Using Measures

Using a ruler Using a thermometer Using scales Using a measuring jug Length conversions Mass conversions Volume conversions Unitary conversions
Statistics & Probability

Key Subskills

Comparing data sets using statistics.
Forming a linear model from a given set of data.

Basic Statistics

Mean Median Mode Range

Other Statistics

5 figure summary Box plot Inter quartile range SIQR (Semi Inter Quartile Range) Standard Deviation

Statistical Diagrams

Bar Charts Line Graphs Pie Charts Frequency tables Grouped frequency tables Stem and leaf diagram Box plot

Best Fitting Line

Scatter diagrams Line of best fit

Interactive Aides

BoxPlots Line of Best Fit Standard Deviation

Probability

Probability Mutually Exclusive Events Addition Law Multiplication Law Tree Diagrams Two Way Tables
Measurement

Key Subskills

Constructing a scale drawing, including choosing a scale.
Planning a navigation course.
Carrying out efficient container packing.
Using precedence tables to plan tasks.
Solving a problem involving time management.
Considering the effects of tolerance.

Tolerance

Tolerance
Compass points Bearings Map scales Example scale drawing

Container Packing

Container Packing Decreasing First Fit Algorithm Best Fit Algorithm

Time

Time units 12 and 24 hour clock Calculating time differences Distance, Speed & Time Precedence Tables
Course Overview (SQA Outcomes)

Finance (MF)

Statistics (S)

Geometry (GM 2)

Measurement (GM 1)

Numeracy (N 1)

Graphical Data & Probability (N 2)

Useful Links
Maths.scot

Free Maths resources for Scottish Secondary students

Free Nat 5 Apps

national5maths.co.uk - Free N5 Applications of Maths

Clelland Maths

An excellent app. National 5, Higher, Advanced Higher.

Books

A selection of resources available at Amazon