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WEEK 1.  Add, subtract, multiply and divide

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WEEK 1.  Add, subtract, multiply and divide

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WEEK 6. Time tables (trains, buses, etc)

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WEEK 6. Time tables (trains, buses, etc)

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WEEK 9. Extracting information from tables

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WEEK 9. Extracting information from tables

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WEEK 1. Add, subtract, multiply and divide

# data[].attributes.subject
WEEK 1. Add, subtract, multiply and divide

# data[].attributes.headline
WEEK 6. Time tables (trains, buses, etc)

# data[].attributes.subject
WEEK 6. Time tables (trains, buses, etc)

# data[].attributes.headline
WEEK 9. Extracting information from tables

# data[].attributes.subject
WEEK 9. Extracting information from tables

# data[].attributes.headline
WEEK 1. Add, subtract, multiply and divide

# data[].attributes.subject
WEEK 1. Add, subtract, multiply and divide

# data[].attributes.headline
WEEK 6. Time tables (trains, buses, etc)

# data[].attributes.subject
WEEK 6. Time tables (trains, buses, etc)

# data[].attributes.headline
WEEK 1. Add, subtract, multiply and divide

# data[].attributes.subject
WEEK 1. Add, subtract, multiply and divide

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Functional Skills Past Papers | Pass Functional Skills

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2. apply the four operations, including formal written methods, to integers (and simple fractions (proper and improper) ( adding integers , adding fractions , subtracting fractions , multiplying fractions and dividing fractions ), and mixed numbers (adding - all both positive subtracting integers , multiplying integers , dividing integers ), decimals ( adding decimals , subtracting decimals , multiplying decimals and dividing decimals ) and ; understand and use place value (e.g. when working with very large or very small numbers, and when calculating with decimals)

8. calculate exactly with fractions, and multiples of π; simplify surd expressions involving squares (e.g. 12 = 4× 3 = 4 × 3 = 2 3 ) and rationalise denominators

Fractions, decimals and percentages

11.identify and work with fractions in ratio problems

12.interpret fractions and percentages as operators.

13.use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate

15.round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures ); use inequality notation to specify simple error intervals due to truncation or rounding

Notation, vocabulary and manipulation

 3y in place of y + y + y and 3 × y

 coefficients written as fractions rather than as decimals

4. simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:

 factorising quadratic expressions of the form x^ 2 + bx + c, including the difference of two squares; factorising quadratic expressions of the form

 simplifying expressions involving sums, products and powers, including the laws of indices

5. understand and use standard mathematical formulae; rearrange formulae to change the subject

8. work with coordinates in all four quadrants

10.identify and interpret gradients and intercepts of linear functions graphically and algebraically

12.recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y =

1 x with x ≠ 0, exponential functions = x y k for positive values of k, and the trigonometric functions (with arguments in degrees) y x = sin , y x = cos and y x = tan for angles of any size

13.sketch translations and reflections of a given function

16.recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point.

Solving equations and inequalities

17.solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation); find approximate solutions using a graph

19.solve two simultaneous equations in two variables (linear/linear or linear/quadratic) algebraically; find approximate solutions using a graph

20.find approximate solutions to equations numerically using iteration

23.generate terms of a sequence from either a term-to-term or a position-to-term rule

25.deduce expressions to calculate the n th term of linear and quadratic sequences.

Ratio, proportion and rates of change

2. use scale factors, scale diagrams and maps

3. express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1

4. use ratio notation, including reduction to simplest form

6. express a multiplicative relationship between two quantities as a ratio or a fraction

7. understand and use proportion as equality of ratios

8. relate ratios to fractions and to linear functions

9. define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal, and interpret these multiplicatively; express one quantity as a percentage of another; compare two quantities using percentages; work with percentages greater than 100%; solve problems involving percentage change, including percentage increase/decrease and original value problems, and simple interest including in financial mathematics

10.solve problems involving direct and inverse proportion, including graphical and algebraic representations

11.use compound units such as speed, rates of pay, unit pricing, density and pressure

12.compare lengths, areas and volumes using ratio notation; make links to similarity (including trigonometric ratios) and scale factors

14.interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion

16.set up, solve and interpret the answers in growth and decay problems, including compound interest and work with general iterative processes.

Properties and constructions

for labelling and referring to the sides and angles of triangles; draw diagrams from written description

2. use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line

5. use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)

8. describe the changes and invariance achieved by combinations of rotations, reflections and translations

9. identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment

10.apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results

11.solve geometrical problems on coordinate axes

12.identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres

13.construct and interpret plans and elevations of 3D shapes.

Mensuration and calculation

14.use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.)

15.measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearings

16.know and apply formulae to calculate: area of triangles, parallelograms, trapezia; volume of cuboids and other right prisms (including cylinders)

17.know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr 2 ; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids

18.calculate arc lengths, angles and areas of sectors of circles

19.apply the concepts of congruence and similarity, including the relationships between lengths, areas and volumes in similar figures

20.know the formulae for: Pythagoras' theorem, a 2 + b2 = c 2 , and the trigonometric ratios, sinθ = opposite hypotenuse , cosθ = adjacent hypotenuse and tanθ = opposite adjacent ; apply them to find angles and lengths in right-angled triangles and, where possible, general triangles in two and three dimensional figures

21.know the exact values of sinθ and cosθ for θ = 00 , 300 , 450 , 600 and 900 ; know the exact value of tanθ for θ = 00 , 300 , 450 and 600

24.describe translations as 2D vectors

1. record describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees

2. apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments

3. relate relative expected frequencies to theoretical probability, using appropriate language and the 0 - 1 probability scale

5. understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size

6. enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams

7. construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities

1. infer properties of populations or distributions from a sample, whilst knowing the

know their appropriate use

4. interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:

 appropriate graphical representation involving discrete, continuous and grouped data, including box plots

5. apply statistics to describe a population

P rogress Checks (some of the questions are form MathsWatch)

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2. apply the four operations, including formal written methods, to integers (and simple fractions (proper and improper) ( adding integers , adding fractions , subtracting fractions , multiplying fractions and dividing fractions ), and mixed numbers (adding - all both positive subtracting integers , multiplying integers , dividing integers ), decimals ( adding decimals , subtracting decimals , multiplying decimals and dividing decimals ) and ; understand and use place value (e.g.

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Free Functional Skills Maths Online 10-Minute Tests

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These free online CGP 10-Minute Tests are superb for Functional Skills Maths practice on the go! All the answers are explained at the end of each test.

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IXL offers online maths practice covering reception through year 13 maths and everything in between. Students will enjoy learning with IXL's fun and interactive questions, including graphing, drag-and-drop, select-and-edit and more.

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Functional Skills Maths (Levels 1 and 2) - England - BBC Bitesize

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Using numbers, carrying out calculations and interpreting results. Learning resources for students of Functional Skills in England.

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Unit 08 - Fractions and percentages of amounts KO