Year 10 March Assessment

Year 10 Revision Checklist Higher

Number Theory

Understand and apply index laws involving multiplying and dividing of terms (U235, U662)

Understand and apply index laws involving brackets and index of 0

Apply index laws of negative and fractional indices (U985, U772)

Understand what a surd is and how to write them

Simplify surds by finding a square factor (U338)

Add, subtract, multiply and divide simple expressions involving surds (U872, U499)

Rationalise the denominator of a fraction involving a single surd (U707)

Rationalise the denominator of a fraction that contains an expression involving surds (U281)

Statistics

Construct a cumulative frequency diagram from a grouped frequency table and interpret them effectively using quartiles (U182, U642)

Construct and interpret boxplots (U879)

Construct and interpret frequency polygons (U840)

Pythagoras and Trigonometry

Understand and use Pythagoras’ theorem in two dimensions (U385)

Calculate the area and perimeter of a triangle using Pythagoras’ theorem (U385)

Use Pythagoras’ theorem to solve more complex geometric problems (U385)

Calculate the length of a line segment using Pythagoras’ theorem (U385)

Solve problems using Pythagoras’ Theorem involving algebra (U385)

Understand the terms opposite, adjacent and hypotenuse in right-angled triangles

Use the sine, cosine and tangent ratios to find angles in a right-angled triangle (U605, U545)

Use sine, cosine and tangent ratios to find missing sides of a right-angled triangle (U283)

Use trigonometry to solve more complex problems in two dimensions (U967)

Use Pythagoras and right-angled trigonometry in three-dimensions (U170)

Know and use the sine rule for non-right-angled triangles (U952)

Find the area of any triangle and any regular polygon using the area formula (U592)

Sequences

Generate sequences from words, diagrams, the term to term rule, or the nth term (U213, U530)

Use and recognise squares, cubes, Fibonacci and triangular numbers (U680)

Use and find the nth term of any linear sequence (U498)

Decide if a value is in a sequence using counting on or equations methods (U530)

Find the nth term of any quadratic sequence (U206)

Identify geometric sequences and find subsequent terms (U958)

Identify and manipulate Fibonacci-type sequences (U680)

Perimeter, Area and Volume

Calculate the volume and surface area of a cuboid (U786, U929)

Convert between area and volume measures

Find the area of a triangle, parallelogram & trapezium (U945, U424, U265)

Find the area of any 2D compound shape (U970, U934)

Find the volume of composite solids made from cuboids (U786, U543, U929)

Calculate the surface area and volume of prisms (U259, U174)

Calculate the volume and surface area of cylinders (U915, U464)

Calculate the volume and surface area of pyramids (U484, U871)

Calculate the volume and surface area of spheres and cones (U523, U893, U116, U617)

Equations

Form and solve simple equations with brackets or unknown on both sides (U325, U870)

Solve equations involving fractions (U505)

Solve simultaneous equations in two-variables (U760, U757)

Relate graph to solution of simultaneous equations (U836)

Solve linear inequalities in one variable (U759, U738, U145)

Represent solutions of inequalities on a number line (U509)

Begin to solve inequalities involving three expressions

Calculations

Simplify fractions (U646)

Identify equivalent fractions (U704)

Convert between mixed numbers and improper fractions (U692)

Add and subtract fractions with the same denominators (U736)

Add and subtract fractions with different denominators, including mixed numbers (U736, U793)

Multiply and divide any fractions including mixed numbers (U475, U224, U544, U538)

Multiply, divide, add & subtract whole numbers and decimals up to 2dp (U735, U127, U293, U453, U868)

Convert between fractions, decimals, and percentages (U888)

Calculate fractions and percentages of amounts (U881, U916, U554, U349)

Increase or decrease an amount by a given percentage (U773, U671)

Perform repeated percentage change (U332)

Use multipliers for single and repeated percentage change (U671)

Understand and calculate simple interest applied repeatedly (U533)

Simplify ratios and recognise equivalent ratios (U687, U753)

Share a total amount in a given ratio (U577)

Utilise the unitary form for solving problems (U721)

Understand the relationship between variables that are in direct proportion (U721)

Describe direct proportionality using algebra (U640, U407)

Represent problems in algebraic or graphical form (U238)

Round answers to any number of decimal places or significant figures (U298, U731, U965)

Graphs

Plot and read coordinates in all 4 quadrants (U789)

Plot graphs of simple linear functions (U741)

Recognise y=mx + c as line

Find gradient of lines in form y=mx + c (U315)

Find the equation of a line given the gradient and a point (U477)

Find the equation of a line given two points on it (213)

Understand the relationship between parallel straight lines and their gradients (U377)

Understand the relationship between perpendicular straight lines and their gradients (U898)

Know some properties of quadratic functions (U667)

Plot simple quadratic and cubic graphs (U989, U980)

Plot simple reciprocal functions (U593)

Understand function notation as a way of simplifying notation

Probability

Use vocabulary and ideas of single event probability (U408, U510)

Calculate simple probabilities of equally likely outcomes (U510)

Use sample space diagrams to solve problems involving equally likely outcomes (U104)

Understand the definitions of mutually exclusive and independent (U683)

Know when to add or multiply two probabilities (U683)

Use a probability tree diagram for up to two consecutive events (U558)

Understand set notation and its relation to Venn diagrams (U296, U476, U748)

Calculate probabilities from a Venn diagram, or when expressed in set notation (U476, U748)

Understand and use frequency trees (U280)

Use conditional probability in conjunction with tree diagrams (U729)

Solve algebraic problems involving probability

Quadratics

Expand any two brackets (U768)

Factorise monic quadratic expressions (U365, U178)

Factorise non-monic quadratic expressions (U858)

Solve a quadratic equation that has already been factorised (U228)

Solve any factorisable quadratic equation using factorisation (U228, U960)

Use the quadratic formula to solve more complex quadratic equations (U665)

Complete the square on monic quadratic expressions (U397)

Solve simple quadratic equations by completing the square (U589)