Revision/Exam Tips

 

  • Bring all of your equipment on the day of the exam – pen, pencil, ruler, rubber, sharpener, compasses, protractor, scientific calculator – you are not giving yourself the best chance of success if you don’t!
  • Answer all the questions – don’t leave any blank spaces!
  • If you finish the paper before your time is up – go over the paper again…and again…and again…until you have run out of time! This may seem boring but you will spot mistakes you made the first time around and you will maximise your mark.
  • When revising – use your notebook, workbook and textbook (and revision pack if you are in Year 9 or Year 10). The answers for the “Test Yourself” exercises are at the back of the book so you can do these and assess your own work. You can also re-do parts of exercises from the main body of the textbook (this is why we write in corrections!).

 

GET REVISING AND GOOD LUCK!

 

 

 

YEAR 8

 

TOPIC 1 NUMBER PATTERNS

 

You should I can
Be able to recognise number patterns and extend them  
Be able to find multiples of a number  
Be able to list the factors of a number  
Be able to find the highest common factor of two numbers  
Know and be able to find the prime numbers up to 100  
Be able to find the prime factors of a number  
Be able to express a number as a product of primes  
Be able to use function machines  
Know and understand square and cube numbers  
Know and be able to extend the triangular number pattern  

 

TOPIC 2

ARITHMETIC AND THE CALCULATOR

 

You should I can
Know the times tables up to 12×12  
Be able to round numbers to the nearest 10/100/1000etc  
Be able to use mental Maths to work out answers in my head  
Be able to estimate the answers to problems and can use this to check calculations  
Be able to prioritise operations (BODMAS)  
Be able to write powers using index notation  
Be able to calculate powers written in index notation  
Be able to use the bracket x² and memory keys on my calculator  
Be able to use a calculator to find the answer to a problem  

 

TOPIC 3

ALGEBRA 1

 

You should I can
Be able to write one and two step formulae that represent real life problems  
Be able to use these formulae to solve the problem by substituting values into them  
Know the rules of algebra that are understood in any language  
Be able to collect like terms to simplify  
Be able to substitute numbers into formulae  
Be able to use algebra to solve problems  
Be able to generate a sequence using words or symbolic form  

 

TOPIC 4

ANGLES

 

You should I can
Know 1° is a unit used to measure angles    
Know that the total angle about a point is equal to 360°   
Know the properties of acute, obtuse and reflex angles and special angles  
Be able to use a protractor to measure angles up to 360°   
Be able to use a protractor to draw angles up to 360°  

 

TOPIC 5

STATISTICS

 

You should I can
Understand the importance of statistics and ways in which they are used in every day life  
Be able to answer questions using information from a bar chart, pictogram or pie chart  
Be able to collect information on a tally chart  
Be able to use tallies to create a frequency table including grouped frequency  
Be able to display information from these frequency tables, including grouped frequency, on a bar chart  
Be able to display information on a pictogram  
Be able to display information on a pie chart when the total frequency is a factor of 360°  
Be able to plan and conduct a survey by collecting, displaying and interpreting data to find out information  

 

TOPIC 6

FRACTIONS

 

You should I can
Understand an use key language associated with fractions  
Recognise the importance of fractions in every day life  
Be able to write one number as a fraction of another  
Be able to find a fraction of a quantity  
Understand that fractions can be larger than 1  
Be able to change improper fractions into mixed numbers  
Be able to change mixed numbers into improper fractions  
Be able to find equivalent fractions  
Be able to simplify fractions  
Be able to add and subtract fractions by finding a common denominator  
Be able to multiply a number by a fraction  
Be able to multiply a fraction by a fraction  
Understand the meaning of unit fraction  
Be able to put fractions in order  
Understand the effect of  multiplying and dividing by a fraction greater than or less than 1   

 

TOPIC 7

ALGEBRA 2

 

You should I can
Be able to perform inverse operations  
Be able to solve equations using inverse function machines  
Be able to form equations from words  
Be able to solve equations with x on one side  
Be able to solve equations using algebra  
Be able to change the subject of a formula  

 

TOPIC 8

DECIMALS(Decimals Percentages and Fractions)

 

 

You should I can
Know and understand place value for whole numbers  
I understand decimals and the place values of numbers that appear after the decimal point.  
Be able to write numbers in words and vice versa.  
Be able to put decimals in order of size.  
Be able to add and subtract decimals.  
Be able to multiply and divide a decimal by a whole number  
Be able to multiply a decimal by a decimal  
Be able to solve problems involving decimals.  
Be able to round decimals.  
Know that all fractions are either exact or recurring when written as decimals and understand why this is.  
Be able to write fractions as decimals and percentages  
Be able to write decimals as fractions and percentages  
Be able to write percentages as fractions and decimals  
Be able to order fractions in ascending or descending order  
Be able to use decimals in context  

 

TOPIC 9

STATISTICS

 

You should I can
Be able to find the mean of a list of values and understand what it tells me  
Be able to find the median of a list of values and understand what it tells me  
Be able to find the mode of a list of values and understand what it tells me  
Be able to find the range of a list of values and understand what it tells me  

 

 

YEAR 9

 

TOPIC 1

ESTIMATING YOUR MENTAL POWERS

 

You should I can
Understand powers and roots  
Be able to use your calculator to find the square of a number  
Be able to use your calculator to find the square root of a number  
Be able to use your calculator to find a number to any power  
Be able to use your calculator to find any root of a number  
Be able to use the rules of mental maths to work out answers in your head  
Be able to round to a given number of significant figures  
Be able to estimate solutions to a problem using rounded numbers  
Be able to estimate the square root of a number  
Be able to appreciate the importance of showing method when using a calculator.  

 

TOPIC 2

ALGEBRA

 

You should I can
Be able to find rules for extending simple number patterns  
Be able to find the formula for the general term of a simple number pattern using algebra.  
Be able to find two step rules for extending patterns  
Be able to solve an equation which has an unknown on both sides of the equal sign  
Remember the rules of BODMAS when substituting values into formulae  
Know and understand what the nth term of a sequence is.  
Be able to find the formula for the nth term of a two step number sequence using algebra  
Be able to use a formula to find a particular term  
Be able to find the inverse of a formula  

 

TOPIC 3

POLYGONS

 

You should I can
Know and be able to name polygons with 3, 4 5, 6, 8 and 10 sides.  
Know that a polygon has the same number of vertices as sides.  
Understand that a diagonal joins two vertices of a shape an be able to count the number of diagonals in any polygon  
Know the difference between regular and irregular polygons.  
Be able to draw and count the lines of symmetry on a regular polygon.  
Know that a regular polygon has rotational symmetry and be able to work out the order for each polygon.  
Recognise the difference between convex and concave polygons.  
Be able to identify particular sides of a shape by using letters.  
Be able to use a compass to construct triangles and polygons.  
Understand congruence.  
Be able to draw tessellations of regular polygons.  
Know what is meant by “exterior angle” and “interior angle” in the context of polygons  
Know the interior angles of a triangle add up to 180°  
Know the interior angles of a quadrilateral add up to 360°  
Know that the exterior angles of any polygon add up to 360°  
Know that the sum of the exterior and interior angles is 180°  

 

TOPIC 4

STATISTICS

 

You should I can
Be able to use a compass to draw a circle of specific radius and diameter  
Be able to draw a pie chart and use it to analyse data when the total frequency is a factor of 360°  
Be able to find the mode from a frequency table, pie chart or bar chart  
Be able to find the median from a frequency table  
Be able to find the mean from a frequency table  
Be able to understand how questionnaires and statistical diagrams can mislead  
Be able to design a questionnaire  

 

TOPIC 5

NEGATIVE NUMBERS

You should I can
Know that the number line extends below zero to negative numbers  
Be able to put a range of directed numbers in ascending/descending order  
Be able to use “>” and “<” signs between numbers efficiently  
Be able to find the difference between two given temperatures  
Understand that position can be shown by drawing two number lines perpendicular to each other and calling the horizontal line the x axis and the vertical line the y axis  
Be able to describe positions of points within these quadrants using co-ordinates which describe how far across the horizontal and how far up/down the vertical line the point lies from the origin  
Be able to draw x and y axes with negative and positive numbers to produce four quadrants  
Be able to plot points in all four quadrants  
Be able to read a bank statement  
Understand how an overdraft works  
Be able to add and subtract directed numbers  
Be able to multiply and divide directed numbers  
Be able to use your calculator to carry out operations involving directed numbers  
Be able to substitute negative values into a given formula  

 

TOPIC 6

PERCENTAGES AND FRACTIONS

 

You should I can
Recall what the word percentage means and that the symbol % represents it  
Be able to use equivalent fractions to convert 21/30 to a percentage  
Be able to change any fraction (e.g. exam result 57/63) to a percentage  
Know that to write one quantity as a percentage of another it should first be written as either a fraction or a decimal  
Be able to find simple discounts of 50%, 25% and 10%  
Be able to find a percentage of a quantity by finding 1% first  
Be able to calculate fractions of quantities by a variety of methods  
Be able to calculate a percentage of a quantity by multiplying the equivalent fraction or decimal by the quantity  
Know and understand what VAT is  
Be able to find the VAT on an item with and without a calculator  
Know and understand simple and compound interest  
Be able to find the simple interest on a bank account  
Be able to find the compound interest on a bank account  
Understand what the term APR means  
Be able to make an informed choice when choosing a savings account  

TOPIC 7

AREA

 

You should I can
Know the difference between perimeter and area  
Be able to find the perimeter of a shape  
Be able to find or estimate the area of a shape by counting squares  
Be able to find the area of a rectangle  
Be able to draw or identify the base and corresponding perpendicular height of any triangle  
Be able to find the area of a triangle  
Be able to find the area of a parallelogram  
Be able to find the area of a trapezium  
Be able to find the area of a kite  
Be able to find the area of a rhombus  
Know the formulae required for all of the shapes listed above  
Be able to find the compound area of any shape  
Be able to convert metric units of length and area  

 

TOPIC 8

ANGLES AND BEARINGS

 

You should I can
Be able to calculate missing angles on a straight line or at a point using algebra  
Be able to calculate missing angles on a triangle using algebra  
Be able to identify corresponding, alternate and interior angles on parallel lines  
Be able to use corresponding, alternate and interior angle properties to calculate missing angles  
Be able to find missing angles on a parallelogram  
Know and understand the properties of a quadrilateral.  
Be able to identify parallel lines and know which shapes have these.  
Know the eight points of a compass  
Be able to measure or calculate a bearing between two points  
Be able to write a given scale in ration notation  
Be able to calculate a distance using a given scale  
Be able to draw an accurate diagram using bearings and scaled distances  

 

 

YEAR 10

 

TOPIC 1

PYTHAGORAS’ THEOREM

 

You should I can
Be able to identify the hypotenuse on a right angle triangle  
Know what Pythagoras’ theorem tells you about a right angled triangle  
Be able to use Pythagoras’ theorem to find the hypotenuse of a right angle triangle  
Be able to use Pythagoras’ theorem to find a shorter side of a right angle triangle  
I can use Pythagoras’ Theorem with co-ordinates to find the length of a line  

 

TOPIC 2

ALGEBRA 1

 

You should I can
Be able to substitute values into a wide variety of formulae  
Recognise how algebraic formulas can be used in every day life  
Be able to write a formula for a real life situation  
Be able to write two step formula for real life situations  
Be able to find the nth term of a linear sequence (revision)  
Be able to find the nth term for simple quadratic sequences e.g. n², 2n², n²+1  
Be able to solve equations by trial and improvement  
Be able to solve real life problems using trial and improvement  

 

TOPIC 3

LINEAR GRAPHS AND SIMULTANEOUS EQUATIONS

 

You should I can
Be able to draw a linear graph from a table of values  
Be able to relate the term linear to previous knowledge of linear equations and sequences  
Be able to draw a linear graph by using x values to find corresponding y values to complete a table  
Be able to draw a linear graph using the cover up method to complete a table  
Be able to name lines parallel to the x and y axes  
Be able to draw a line parallel to an axis given its name  
Know that the equations of linear graphs take the form y=mx + c  
Know that the value of m effects the gradientKnow that the value of c shows where the line crosses the y axis  
Recognise that parallel lines have the same gradient (m) as each other  
Be able to write down the equations of a straight line given the equation of a line parallel to it and the point where it crosses the y axis  
Show that a point lies on a line by substitution  
Be able to solve linear simultaneous equations graphically  
Be able to solve linear simultaneous equations algebraically  

 

TOPIC 4

STATISTICS

 

You should I can
Be able to draw a scatter graph for two variables  
Be able to use positive, negative or no correlation to describe the link between the two variables  
Know when/if it is appropriate it is appropriate to draw a line of best fit  
Be able to  draw a line of best fit  
Be able to use it to predict results  
Be able to draw pie charts using the fraction of total method  
Be able to use percentages with pie charts  
Be able to recognise misleading diagrams  

 

TOPIC 5

CIRCLES

 

You should I can
Know and understand the key vocabulary used for circles  
Be able to locate the “pi” key on my calculator  
Be able to find the circumference of a circle given the diameter/radius  
Be able to find the diameter/radius of a circle given the circumference  
Be able to find the area of a circle given the diameter/radius  
Be able to find the radius/diameter of a circle given the area  
Be able to find the area/perimeter of compound shapes which involve circles  
Know that a cylinder is a prism  
Be able to find the volume of a cylinder  

 

TOPIC 6

VOLUME

 

You should I can
Understand what volume is  
Be able to put containers in order of volume  
Be able to estimate the volume of containers in cm³, ml, and litres  
Be able to find the number of containers in a stack  
Be able to find the volume of simple cuboids by counting blocks  
Understand what a prism is  
Be able to find the volume of a prism  
Be able to convert between metric units of volume  
Be familiar with the term capacity  

 

TOPIC 7

NUMBER AND FINANCIAL CAPABILITY

 

 

You should I can
Be able to increase and decrease quantities by a given percentage  
Be able to find the original quantity with and without a calculator  
Know and understand the terms used in bank statements, salaries, bills etc  
Be able to use my mathematical knowledge to check or complete bank statements and bills (financial capability)  

 

TOPIC 8

RATES OF CHANGE AND PROPORTION

 

You should I can
Be able to write a ratio in figures  
Be able to simplify ratios  
Be able to share a quantity in a given ratio (two or more parts)  
Be able to use ratio with scales on a map to find distances  
Be able to write map scales as ratios  
Understand the term “direct proportion”  
Be able to change the amounts of quantities which are in a given direct proportion (e.g. for a recipe)  
Understand the term “inverse proportion”  
Be able to change the amounts of quantities which are in a given inverse proportion (e.g. no. of men to build a wall and the time taken working at the same rate)  
Know the relationship between speed, distance and time  
Know the units for speed  
Be able to use direct proportion to find distance travelled at a fixed speed as time changes and vice versa  
Be able to use inverse proportion to find time taken as speed changes over a fixed distance and vice versa  
Be able to use formulae to find speed, distance or time  
Know the relationship between mass, density and volume  
Know the units for density  
Be able to use direct proportion to find mass as volume changes and vice versa  
Be able to use formulae to find mass, density and volume  

 

TOPIC 9

ALGEBRA 2

 

You should I can
Be able to collect terms in order to simplify algebraic expressions  
Be able to multiply algebraic expressions  
Be able to square a single term expression  
Recognise the importance of order of operations when using algebra (BODMAS)  
Be able to multiply out brackets by a number and a letter  
Be able to multiply out two brackets and simplify  
Be able to square a bracket  
Be able to recognise a quadratic expression  
Be able to factorise algebraic expressions with a common factor  
Be able to solve linear equations involving brackets