Dynamic Maths

CfE 4th Level (Octagon)

This page contains free Dynamic Worksheets that are roughly aligned with the 4th level of the numeracy and mathematics Experiences and Outcomes of the Scottish Curriculum for Excellence. If you want resources for other levels of course, go to our Free Resources homepage.

Free Resources:

• Question and Answer Key Facts booklet: Booklet 4 (see other levels of booklet here)

Free Worksheets covering entire course:

• Number revision - mixed questions covering number skills at approximately CfE level 4

Free Worksheets covering specific topics at this level:

• Algebra-01: simplifying a linear expression (option to decide how many different letters to allow (up to 3), whether to allow negatives or not, and whether to include constants)
• Algebra-02: simplifying an algebraic expression involving multiplying (options to vary level of difficulty)
• Algebra-04: basic substitution into linear expressions (options to choose magnitude of substitution/coefficients/constants; and to decide whether to allow integers)
• 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)
• Coordinates-01a: midpoint of two coordinates without a diagram (option to decide whether to allow negatives, halves or decimals)
• Decimals-03: multiply and divide by powers of 10 (option to multiply, divide or both; and to vary size of numbers in question)
• Decimals-07: multiplying two decimals without a calculator using a method of choice (option to vary how many decimal places each number might have)
• Decimals-08: multiplying and dividing decimal numbers by multiples of powers of 10 (option to choose which of three types of question to have: multiply decimals by multiples of positive powers of 10 (e.g. 4.2 × 3000), multiply decimals by multiples of negative powers of 10 (e.g. 5000 × 0.08), divide decimals by multiples of negative powers of 10 (e.g. 620 ÷ 200) )
• Decimals-09: multiplying and dividing decimals by multiples of powers of 10
• 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)
• 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)
• Fractions-05: equivalent fractions, decimals and percentages - complete the table with the equivalences (option to allow percentages to have 1dp or not; and to vary which column is hidden)
• Fractions-06: add and take away fractions and/or mixed numbers (option to vary size of denominator, to allow mixed numbers, and to choose operation)
• Fractions-07: multiply and divide fractions and/or mixed numbers (option to vary size of denominator, to allow mixed numbers, and to choose operation)
• Fractions-08: changing topheavy fractions to a mixed number (option to vary size of numbers involved and various other options)
• Fractions-09: changing mixed numbers to topheavy fractions (option to vary size of numbers involved)
• Fractions-10: mixed add, take away, multiply and divide (option to vary size of denominator)
• Fractions-12: changing mixed numbers to topheavy fractions AND topheavy fractions to mixed numbers - a mixture of Fractions-08 and Fractions-09 (option to vary size of numbers involved)
• Indices-01a: change numbers from standard form into normal form (option to decide whether indices are positive, negative or both; and to vary length of number)
• Indices-01b: change numbers from normal form into standard form (option to decide whether indices are positive, negative or both; and to vary length of number)
• Integers-03: mixed: all four operations with two integers (option to vary size of numbers allowed in questions)
• Integers-04: mixed: all four operations with up to three integers (option to vary size of numbers allowed in questions and to decide whether to include questions that require a knowledge of BODMAS)
• Measure-03: convert from mixed measurements to decimal measurements (option to choose exactly which unit conversions you want to include: choose from m-cm, mm-cm, m-km, m-mm, g-kg, kg-t, ml-l, l-cm³, cm²-mm², m²-cm². Also option to choose which columns are visible/hidden)
• Measure-05: tolerance - identify maximum/minimum values (option to choose exactly which units to include, whether to allow decimal values, and whether to allow tolerances expressed as percentages)
• Measure-06: tolerance - identify which out of a list of values are within the given range (option to choose exactly which units to include, whether to allow decimal values, and whether to allow tolerances expressed as percentages) Note - the mistake with answers not being completely correct should now have been corrected (May 2022). If answers still appear to be coming up wrongly, please contact Dynamic Maths.
• Money-02: calculate tax and/or National Insurance when given salary, tax rates and personal allowance (options to decide whether to use standard UK tax rates or random ones; whether to include National Insurance, and whether to allow monthly figures to be used as well as annual)
• Money-03: complete more complicated wageslips, including potential calculation of overtime, commission, tax, National Insurance and pension as well as gross pay and net pay (option to decide whether to calculate (as opposed to just being given) each of overtime, commission, tax, National Insurance and pension)
• Multiply-04: written multiply sums (options to determine how many digits in each factor, which tables to include, whether to allow one or both factors to be decimals)
• 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-04: mental percentages (option to decide which percentages are included - many options)
• Percentages-05: change test marks to percentages (option to vary denominator; and to choose only percentages that can be easily converted mentally)
• Percentages-07: mental percentages (options to vary difficulty of multiplication/division, and to choose whether to focus on multiples of 10%, multiples of 1% or both)
• 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)
• Rounding-03: rounding whole numbers and decimals to a given number of significant figures (option to vary length of original number, and how many significant figures may be required)
• Statistics-03: Mean, median, mode and range (option to vary the size of data sets)
• 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.
• StraightLine-02: drawing a straight line using a table of values
• 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 2·08 hours into hours and minutes, or change 2 hours 5 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])
• Time-06: Changing hours (as a decimal) into hours, minutes and seconds (options to choose which direction to convert in and how many decimal places)