These resources are designed to get students to understand properly the topic they are working on. The sets of worksheets include a lot of repetition and are useful for teaching a topic or revision . Some of my resources are at a very basic level and are written for older teenagers and adults. If you like my style please send me suggestions of topics that you would like to see a resource created for.
These resources are designed to get students to understand properly the topic they are working on. The sets of worksheets include a lot of repetition and are useful for teaching a topic or revision . Some of my resources are at a very basic level and are written for older teenagers and adults. If you like my style please send me suggestions of topics that you would like to see a resource created for.
Ten worksheets GCSE / iGCSE / Basic A-level standard
Domain and Range
Inverse functions
Combined functions
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Two worksheets that show how to factorise expressions using the ‘difference of two squares’ formula. The answers are included.
The first worksheet covers the basics for GCSE level and the second extends the ideas for the most able GCSE students and for AS level learners.
Useful questions for this often overlooked topic.
The error referred to in the review has been rectified.
DfE reference for GCSE 9-1 A4
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Use inverse operations for adding, subtracting, multiplying and dividing to solve simple equations involving only one operation. These equations are mostly straightforward enough to be solved using common sense.
This lesson is intended to start to lay the foundations for the idea of ‘doing the same to both sides’ that is the method used to solve more complicated equations.
Practise mental arithmetic with whole numbers and decimals.
The answers are included
GCSE 9-1 references A17, A1, A3, N3
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Enhance understanding of area and volume factors by using these worksheets to calculate the surface area and volume of shapes before and after enlargement.
Revise volume and area formulas at the same time. Calculate the area and volume factors by using the scale factor and see how the answer relates to the answers achieved from using formulas.
Also calculate scale, area and volume factors given one of the three factors using roots and powers.
GCSE 9-1 reference G19, G16, R2, N6
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Five colourful posters showing basic fraction vocabulary and diagrams. Half, quarter third, fifth etc. Numerator and denominator. 3/8+5/8 makes 8/8 which is one whole unit.
Print out and laminate for display or as revision card. The pages can also be used on a whiteboard for discussion.
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This set of arithmetic worksheets is written and illustrated for adults and older teenagers who want to improve their basic arithmetic skills but it is also suitable for younger age groups. It is ideal for helping people to practise their times tables.
These SKILLSHEETS show students the basic principles behind multiplication and division and the connections between them. The book is structured to ensure progression from the idea of counting objects in groups to memorising multiplication facts and using formal and informal methods with understanding to solve problems.
Each times table has its own page.
There are plenty of examples of how to use tricks and patterns to work out complicated multiplications mentally. Estimation skills are also covered. The word problem sheets throughout the book assess students’ ability to apply their skills to real situations. Knowing when to multiply or divide is as important as knowing how to.
The worksheets on multiplication and division by 10, 100, and 1000 focus on shifting digits’ place value to take students away from the “add a zero to times by ten” idea which causes problems once decimals are involved.
Each worksheet comes in three versions. Monochrome, colour or on-screen completion ( answers need to be checked by a tutor )
Please review this resource and visit my TES shop and website to see similar products.
AVAILABLE CHEAPER at my Skillsheets website.
This set of arithmetic worksheets is written and illustrated for adults and older teenagers who want to improve their very basic arithmetic skills but it is also suitable for younger age groups.
These SKILLSHEETS are intended to provide practice in basic counting and arithmetic skills. The concepts of addition and subtraction are introduced in a variety of ways using different vocabulary. The first section concentrates on the addition and subtraction of numbers up to ten. Learners are encouraged to see connections between the number bonds.
e.g. 5 + 4 = 9 and 9 - 5 = 4 so that they begin to recall the facts more easily.
4 + 5 = 9 9 - 4 = 5
The later worksheets move students gently on to simple calculations involving numbers up to 100. There is a systematic approach to adding and subtracting 2 digit numbers using constant reinforcement of place value. The main emphasis is on mental calculations though some calculations have been set out vertically to prepare students for more formal methods later. The work is continued to harder examples involving borrowing and carrying in “Arithmetic” SKILLSHEETS.
Each worksheet comes in three versions. Monochrome, colour or on-screen completion ( answers need to be checked by a tutor )
Available cheaper at my Skillsheets website.
A colourful powerpoint and three worksheets to introduce or revise how to calculate the volume of a cuboid or cube using the formula. It begins with examples showing how centimetre cubes fit into larger boxes to explain where the formula comes from. There are practical examples plus extension activities for working out missing dimensions of sides and cubing numbers to find the volume of cubes. Enlarging shapes and converting cubic units are also mentioned.
The three worksheets cover three different levels of difficulty and have problems similar to those in the powerpoint.
GCSE 9-1 references G16, G14, G12, N2, N6
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Powerpoint with accompanying worksheet to teach students how to make any number 100 times larger or smaller by moving the decimal point.
There is a variety of questions to use the skills in both real life practical situations and abstract calculations. The word problems include currency conversions, measurements and money.
This resource is a follow on to ‘Multiplying and Dividing Decimals by 10’.
The word problem slides could be extracted and used as revision during subsequent lessons.
DfE reference for GCSE 9-1 N2
Please review this resource.
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These 8 worksheets were created to provide useful basic exercises on differentiating and integrating x^n for the first year of A level differentiation. Work through the basic results for x to the power n for positive and negative integers and fractions then apply them to functions that need to be simplified or rewritten before they can be differentiated or integrated.
These sheets are useful for revision or reinforcement. The answers are provided.
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8 worksheets designed to improve understanding of this tricky topic for GCSE and A-level students. The graphs are quadratic graphs and approximate solutions are to be found by reading off values or finding points of intersection with appropriate straight lines. For the last pair of worksheets students have to determine which straight line to draw. The worksheets are effectively four pairs of sheets with each pair covering a particular idea.
Some of the questions ask students to verify the answers by solving the equations using factorisation or the quadratic equation formula.
The answers are all provided.
GCSE 9-1 DfE reference A18, A19 find approximate solutions using a graph. Solve quadratic equations
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10 worksheets with mixed word problems on a variety of real life problems involving measurement and money calculations that require basic addition, subtraction, multiplication or division to find the answers.
Adding up prices of bike equipment using a calculator
Keeping a running total of amounts raised for charity using a scale. Sponsorship amounts
Reading a mileage bar chart for a cycling holiday
Using fractions to mark out a cycle trail and a walk
Word problems about water usage when washing cars, watering the garden from a water butt, having baths and using a water meter.
Illustrated with adult characters and includes the answers.
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11 worksheets with mixed word problems on a variety of real life problems involving measurement and money calculations that require basic addition, subtraction, multiplication or division to find the answers.
Swimming - using prices of lessons and sessions. Pool measurements. Reading a table about swimming awards. Calculating the number of lengths needed to gain swimming certificates.
Using a simple bus timetable and details of library opening times.
Asthma care - reading and completing a line graph about peak flow data then drawing a full graph from raw data.
Illustrated with adult characters and includes the answers.
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This colourful powerpoint uses animations and photographs to introduce or revise the vocabulary needed for working with circles e.g. radius, diameter, circumference, centre, circular, semicircle. There is also an accompanying worksheet. Slides require students to draw circles with given dimensions and perform calculations based on circles fitting inside other shapes and vice versa.
The images and animations can also be used to revise area calculations, metric unit conversions, symmetry ( using photographs of car badges for instance ) and locus work. The hardest problem requires a knowledge of Pythagoras to solve it. The slides have notes and suggestions accompanying them.
See my other resource ‘Circles - vocabulary’ which follows on from this one to introduce chords, sectors, segments, arcs and tangents.
DfE references for GCSE 9-1 G9, G1
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Six worksheets with mixed word problems on a variety of real life problems involving money calculations. Calculate and use prices per kilo, plan the costs of food bought for a barbecue, work out hourly wages, plan how to eat the right number of fruit portions every day, hiring bicycles and costing an office party Christmas lunch.
Illustrated with adult characters. Written model answers are included.
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Seven worksheets with mixed word problems on a variety of real life problems involving using and organising data, calculating areas ,volumes and distances, money and percentages. Calculations involving a cylindrical bottle, designing and paying for a sports court, read a paragraph of dinosaur facts and use the numbers, look at the costs of childhood vaccinations, study and understand the nutritional informatin on a crisp packet, analyse footballers’ birth dates and word puzzles.
Illustrated with adult characters. Written model answers are included.
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This collection of five worksheets ( complete with answers and working out ) covers the basics of multiplying out triple brackets then moves on to using the results in different situations. Students are eased into the topic with a little revision of the multiplying out that they will already have mastered then there is plenty of practise with progressively harder examples of multiplying out triple brackets including those with repeated factors.
The extension sheets include proofs and finding the difference between two expressions ( a challenge in itself to remember to do x³ +3 x² + 3x + 1 )- ( x³ - 3x² + x - 1 ) carefully ! ). Geometric problems involving cube diagrams to illustrate the expansion of ( a + b )³ will provide useful extension work for the brightest GCSE students. Evaluate 1.1³ to show how powers of numbers can be found using expansions.
The sheets could be used independently by your brightest y9s and above as they include instructions.
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Three pairs of worksheets with answers that are designed to help students understand the use of the mean as an average when data is added or removed from the calculation.
e.g. the mean weight of 5 people is 70 kg. Another person joins the group and the mean is now 71kg. How much did the sixth person weigh.
A lot of students find it hard to see that if you know the mean of a set of numbers and how many numbers there are then you can find the TOTAL of all the numbers. These questions will make them think about how they can use this idea.
GCSE DfE references S4, N2
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