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National 4 Mathematics

This page contains free Dynamic Worksheets relating to the National 4 Mathematics course. If you want resources for other levels of course, go to our Free Resources homepage.

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Free Dynamic Worksheets covering entire course:

Free Solver Spreadsheets (easy ways for teachers to check answers to questions):

Free Dynamic Worksheets covering specific topics at this level:

Outcome Topic(s) Worksheet(s)
Non-calculator skills All non-calculator skills
  • Practice National 4 Added Value Unit paper 1 - automatically generate as many practice papers for the Added Value Unit paper 1 (non-calculator) as you need
  • Nat4-noncalc: mixed non-calculator practice questions suitable for preparing for paper 1 of Intermediate 1, or for general revision
  • Divide-02: divide by single digit, remainder left at end, pupil has to give remainder as either decimal or fraction (both are given on answer sheet) (option vary whether answer can have at most 1, 3 or infinite decimal places; and how many decimal places answers are displayed to)
  • Fractions-02: work out fractions of a quantity (various options to control size of numbers involved, and overall level of mathematical demand)
  • Integers-01: adding and taking away integers (option to choose add, take away, mixed; and to vary size of numbers)
  • Integers-02: multiplying and dividing integers within tables (option to choose multiply, divide and mixed)
  • Integers-03: mixed: all four operations with integers (option to vary size of numbers allowed in questions)
  • Percentages-04: mental percentages (option to decide which percentages are included - many options)
  • Rounding-01: rounding to the nearest 10, 100, 1000 etc (option to vary length of original number)
  • Rounding-02: rounding decimals to a given number of decimal places (option to vary length of original decimal, and how many significant figures may be required)
Numeracy Unit - all Assessment Standards Percentages, fractions, ratio with a calculator. Choosing the operation in word questions.
  • Percentages-03: whole number percentages with a calculator (e.g. 23% of £576) (option to decide whether fractions of one percent (e.g. 2.4%, 17.2%) are allowed)
  • Percentages-05: change test marks to percentages (option to vary denominator; and to choose only percentages that can be easily converted mentally)
  • Percentages-08: practice mixed percentages annd fractions with a calculator (options to add units)
  • Proportion-01: simplify a ratio (option to decide the difficulty of simplification, whether to allow ratios that are already in their simplest form, and whether to allow three-part ratios)
  • Proportion-02: given a ratio and one quantity, calculate the values of the other quantity (or quantities) to preserve the ratio (option to decide the scale factor, whether to allow ratios that are already in their simplest form, and whether to allow three-part ratios)
  • Time-01: Time intervals (options to choose levels of mathematical complexity)
  • Time-02: Change 12 hour time to 24 hour time and vice versa (options to choose whether to change 12 hour time to 24 hout time, vice versa, or a mixture)
  • Time-03: Speed-Distance-Time table (options to choose whether to find speed, distance, time or a mixture)
  • Time-05: Time as a decimal (e.g. change 2·8 hours into hours and minutes, or change 2 hours 48 minutes into hours) (options to choose which direction to convert in, how many decimal places, and which units are included [hours/minutes, minutes/seconds, days/hours, years/months, weeks/days])
All Units - reasoning skills (#2.1, #2.2) Choosing a strategy; explaining a solution No content yet
Expressions and Formula Unit: Assessment Standard 1.1 Algebraic Formulae, Brackets, Factorising, Creating a Formula, Gradient
  • Algebra-05: multiply brackets and simplify (options to choose one bracket or two, and to limit requirements of integers)
  • Algebra-06: factorising using a numerical common factor (options to choose whether first coefficient is also Highest Common Factor, what proportion of questions have constants in, and to limit size of numbers)
Expressions and Formula Unit: Assessment Standard 1.2 Perimeter, Area, Volume, Rotational Symmetry No content yet
Expressions and Formula Unit: Assessment Standard 1.3 Pie Charts, Mean/Median/Mode/Range, Frequency Tables
  • Statistics-03: Mean, median, mode and range (option to vary the size of data sets)
  • Statistics-04: Mean from a data set (option to vary size of data sets, magnitudes of numbers involved, and whether or not to allow negative numbers)
  • Statistics-05: Median from a data set (option to decide whether or not data is already ordered)
  • Statistics-06: There is a data set of between 3 and 8 numbers. One number is hidden. The mean is known. What is the missing number? Designed to be projected onto a SmartBoard rather than printed.
Relationships Unit: Assessment Standard 1.1 Straight lines, Linear equations, Changing the Subject
  • Equations-02: basic two-step equations or inequations with letters only on left-hand side (option to choose equations, inequations or a mixture - and to vary size of numbers and whether integer solutions are allowed)
  • Equations-04: basic one-step equations and inequations involving multiplying (option to vary size of numbers involved; to choose equations, inequations or a mixture; and to allow fractional answers)
  • Equations-05: basic one-step equations involving dividing; also an option to allow two-step equations with multiplying as well (option to vary size of numbers involved; to choose equations, inequations or a mixture; and to allow fractional answers [only relevant in equations involving multiplying])
  • Equations-07: basic NON CALCULATOR two-step equations or inequations with letters only on left-hand side and rational answers (option to choose equations, inequations or a mixture - and to vary size of numbers and whether negative solutions are allowed)
  • Equations-08: equations with letters on both sides (option to choose equations, inequations or a mixture - and to vary whether answers can be negative and/or rational)
  • StraightLine-02: drawing a straight line using a table of values
Relationships Unit: Assessment Standard 1.2 Pythagoras, Angles, Scale Drawing
Relationships Unit: Assessment Standard 1.3 Trigonometry No content yet
Relationships Unit: Assessment Standard 1.4 Scatter Graphs No content yet