Dynamic Maths

CfE 2nd Level (Triangle)

This page contains free Dynamic Worksheets that are roughly aligned with the 2nd 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 2 (see other levels of booklet here)

Free Worksheets covering entire course:

• Number Revision - mixed questions covering number skills at approximately CfE level 2

Free Worksheets covering specific topics at this level:

• Algebra-03: basic simplifying of algebra with one variable and no constants (options to choose add/take away, multiply or a mixture of both)
• Algebra-04: basic substitution into linear expressions (options to choose magnitude of substitution/coefficients/constants; and to decide whether to allow integers)
• Decimals-01: mentally add or take away 1, 0.1, 0.01
• Decimals-02: written add and take away sums
• Decimals-04: what do you add on to a decimal number to get the next whole number, or the next multiple of 0.1 or 0.01 (option to vary number of decimal places)
• Decimals-05: writing a list of number in order from smallest to biggest (option to vary number of decimal places)
• Decimals-06: completing decimal sequences up and down in tenths, hundredths and thousandths (option to vary number of decimal places and direction (up/down) of count)
• Divide-01: divide by single digit, no remainders (option to vary how many digits are in the answer; and whether to use all tables or just 2/3/4/5)
• Divide-03: divide within tables - 90 quick questions (option to choose just 2/3/4/5/10 tables, or any table) - remainders can be optionally included
• Divide-04: multiply AND divide by single digit, no remainders (option to vary how many digits are in the answer/question, and to decide whether to allow decimals in question)
• Equations-03: basic inequations with numbers only - put the signs <, > or = in the space (option to vary number of digits)
• Equations-06: pre-algebra: identifying unknown numbers in sums (option to choose which operations to allow and to vary size of numbers)
• Fractions-01: double and half (option to vary level of mathematical demand)
• Fractions-02: work out fractions of a quantity (various options to control size of numbers involved, and overall level of mathematical demand)
• Fractions-03: equivalent fractions - complete the fraction to make them equivalent (option to vary size of denominator)
• Fractions-04: reduce fraction to its simplest form (option to vary size of numbers involved)
• 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-11: given a list of fractions, identify the ones that are equivalent to a given fraction (option to vary size of denominator, and to decide whether or not to tell learners how many correct answers there are)
• Measure-01: measure lines in cm or mm (option to specify which units to use)
• Measure-02: convert from one unit to another (option to choose difficulty of multiplication/division involved; and 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. Sheets can be made to focus on just one conversion (e.g. grams/kilograms) or to mix them up in whichever combination you choose)
• Measure-04: convert from mixed measurements (e.g. 2m 5cm) to whole number measurements (e.g. 205cm) (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)
• Money-01: complete wageslips, to become familiar with words such as "gross pay", "net pay", "deductions" etc (option to decide whether totals are known, or whether some totals are given, requiring dividing to find an original number)
• Multiply-01: table squares (option to decide if square is ordered, unordered, whether 1 is included, and whether 11&12 times tables are included)
• Multiply-02: multiply within tables - 90 quick questions (option to allow any table; or to restrict questions to 2/3/4/5/10 tables - also options whether to allow 1 or 0)
• Multiply-03: multiplying and/or dividing whole numbers by 10, 100, 1000 or 10000 (no decimals in question or answer) (option to choose maximum power of 10, and to choose between multiplying, dividing or a mixture of both)
• 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-02: 50%, 25%, 20%, 75%, 10%, 1% with a calculator (option to decide exactly which of these five percentages are included and to vary which units (if any) are used)
• Percentages-04: mental percentages (option to decide which percentages are included - many options and to vary level of difficulty of the numbers involved)
• Percentages-08: practice mixed percentages annd fractions with a calculator (options to add units)
• 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 andn whether to require uniform ratio only)
• Proportion-03: proportional circles (where the numbers in each row and column increase in proportion with each other). Find the number in the missing circle (choose the "triangle" option to have scale factors as integers or basic decimals only)
• 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)
• 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)
• 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-04: Converting units of time from mixed units into whole numbers or vice versa (e.g. change 208 minutes into hours and minutes, or change 3 hours 28 minutes into minutes) (options to choose which direction to convert in, and which units are included [hours/minutes, minutes/seconds, days/hours, years/months, weeks/days])
• WholeNumbers-01: count up and/or down in 1, 10, 100, 1000 etc (option to vary increase and/or decrease)
• WholeNumbers-02: what do you "add on" to make the next multiple of 10/100/1000? (options to vary size of numbers)
• WholeNumbers-04: generate a random number from 1 to 12 digits to display via a projector for pupil(s) to read out loud (option to vary number of digits)
• WholeNumbers-05: add and take away within 100 (option to decide whether to add/take away single digit or double digit; and to determine whether or not to force the crossing of a tens boundary in every question)
• WholeNumbers-06: add and take away sums (written method (stacking sums/chimney sums)) (option to vary number of digits; and whether add/take away or a mixture)
• WholeNumbers-07: write numbers (given in word) in figures from hundreds up to trillions (option to vary length of number, and whether to include numbers such as "2½ million", "5¾ billion", "2.4 million" etc)
• WholeNumbers-08: mental add and take away sums (option to vary number of digits; and whether it is two or three numbers to be added)
• WholeNumbers-10: use the symbols <, > and = to compare two whole numbers (option to vary number of digits)
• WholeNumbers-13: count up and/or down using 2, 3 or 4 digit numbers in 1s, 2s, 3s, 4s, 5s, 10s, and 100s (option to vary increase and/or decrease)

Other Sheets

• If I know this then I also know... Pupils are given a multiplication fact (e.g. 7 × 9 = 63) and have to use it to answer related questions (e.g. 70 × 90, 630 ÷ 9). This sheet was not produced by Dynamic Worksheets originally, but has been adapted slightly by me. All I know is that the original author was called Smith. If this is your sheet, please let me know so that I can give you proper credit.