GCSE 2018/2019 GRADING CRITERIA - SchoolExams.co.uk
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Dear Students
For your GCSE mathematics exam, you will have to remember lots of
formulae. You will have covered these in class and will have used them
GCSE 2018/2019
over and over again to solve problems.
Make sure you have learnt these all thoroughly as you will need the
correct formulae in order to answer the questions fully.
GRADING CRITERIA
Here you will find a list of the ones you need for the foundation papers
and the higher papers. Any that are not listed will be given to you in
the exam next to the question.
Good luck and all the very best
From the maths team.
11Grade Criteria
Knowledge, Skills and Understanding in the subject of Maths
New Number Algebra Shape, Space & Data Handling Ratio & Proportion
GCSE Measure
Learners must excel in all Interpreting areas under a Learners must excel in all Learners must excel in all Learners must excel in all
criteria below. curve in context. criteria below. criteria below. criteria below.
Understanding rates of
change.
9 Find the inverse function.
Composite functions.
Expand the product of
more than two binomials.
Learners must excel in all Complete a given Know the exact values of Calculate conditional Learners must excel in all
criteria below. transformation of a graph. some trigonometric ratios. probabilities, through criteria below.
Venn diagrams.
Plotting graphs of circles. Plot the graph of the
8 sine, cosine and tangent
functions.
Geometric proofs (vectors).
Upper and lower bounds. Simplifying algebraic- Solve more complex vector Draw a histogram with Learners must excel in all
fractions. problems. unequal class widths. criteria below.
Performing complex
calculations with surds. Adding, subtracting, Use the sine and cosine
multiplying and dividing rules to solve problems.
algebraic fractions.
7 Find the area of a triangle
Understand simple using 1/2absinC.
geometric progressions
including surds.
Find the nth term of a
quadratic sequence.
Convert recurring decimals Plot the graph of an Enlarge a shape by a Draw and interpret from Direct and inverse
to fractions. exponential function. negative scale factor. a cumulative frequency proportion involving
graph. squares, square roots and
Simplifying surds. Change the subject of a Solve problems involving
cubes.
complex formula. Pythagoras’ Theorem and Calculate the upper and
Trigonometry in 30. lower quartiles.
6 Solving quadratic
equations using the Find missing volumes and Calculate the interquartile
quadratic formula, or areas using the properties range.
completing the square. of similar shapes.
Draw a box plot to
Use the circle theorems to represent a set of data.
find missing angles.
Stratified sampling.
66New Number Algebra Shape, Space & Data Handling Ratio & Proportion
GCSE Measure
Understand negative and Factorise quadratic Use basic trigonometry Solve complex probability Direct and inverse
fractional indices. expressions. to find missing lengths questions using tree proportion.
and angles in right angled diagrams.
Perform calculations using Simplify expressions
triangles.
numbers in standard form. involving the index laws. Frequency trees.
Calculate the volume of
Plot graphs of quadratic,
spheres and cones.
cubic and reciprocal
functions. Calculate the surface area
of spheres and cones.
Solve simultaneous
equations (both linear). Draw a given vector.
Solve quadratic equations Perform vector addition
by factorising. and subtraction.
5
Find missing lengths when
given similar shapes.
Calculate the length of an
arc.
Calculate the area of a
sector.
Enlarge a shape by a
fractional scale factor.
Use Pythagoras’ Theorem
to find missing lengths in a
right angled triangle.
Understand recurring Identify the equation of a Calculate the area and Find the mean, median, Simple growth and decay.
decimals. parallel or perpendicular circumference of a circle. mode and range from a
line. frequency table containing
Estimate square and cube Calculate the volume of
grouped data.
roots. Change the subject of cubes, cuboids, prisms and
basic formulae. pyramids.
Convert between standard
form and ordinary Plot inequalities in two Calculate the surface area
numbers. variables and locate the of cubes, cuboids, prisms
region that satisfies the set and pyramids.
Calculate the percentage
of inequalities.
change. Calculate compound
measures including
density and speed.
Calculate the area and
perimeter of compound
shapes.
Calculate the sum of the
4 interior angles of any n
sided polygon.
Find the size of an exterior
angle of an n sided
polygon.
Describe a single
transformation.
Draw the loci of a set of
rules.
Use the formula to
work out the area of a
trapezium.
77New Number Algebra Shape, Space & Data Handling Ratio & Proportion
GCSE Measure
Round to a given number Expand a double set of Use the formulae to Draw a scattegraph Use the equivalence of
of significant figures. brackets. work out the-area of and identify the type of fractions, decimals and
2D shapes including correlation. percentages to compare
Multiply and divide Factorise out a single term.
rectangles, tr’iangles, and proportions.
negative numbers. Estimate values using
Substitute positive and parallelograms.
a line of best fit on a Scale drawings.
Write a number as a negative values into
Solve geometric_ problems scattergraph.
product of its prime expressions.
involving parallel lines.
factors. Accurately draw pie charts.
Solve equations involving
Enlarge 2D shapes by
Identify the HCF and brackets. Know that the sum of
a positive integer scale
LCM of two numbers probabilities of mutually
Solve equations with factor.
using prime factor exclusive events is 1.
unknowns on both sides.
decomposition. Perform constructions
Find the mean, median,
3 Understand how to
Use y=mx+c to plot a linear including angle and
mode and range from a
function. perpendicular bisectors.
square, cube, square root frequency table containing
and cube root a number. Find the nth term of a Accurately construct discrete data.
given sequence. triangles.
Divide numbers using Draw a frequency polygon.
short and long division. Identify the order of
rotational symmetry for a
Understanding the laws of
given shape.
indices.
Multiply decimals using a
written method.
Estimate calculations using
rounding.
Adding and subtracting
mixed numbers.
Multiplying and dividing
mixed numbers.
Increase/decrease a
number by a civen
percentage.
Recognise and describe Expand a single term over Reflect shapes along a Describe probability using Share a quantity into a
number patterns. a bracket. diagonal mirror line. fractions, decimals and given ratio.
percentages.
Order fractions using a Substitute values into an Translate a shape. Comparing ratios.
common denominator. expression. Write a good
Rotate a shape.
questionnaire.
Reduce a fraction to its Create formulae.
Estimate length, mass or
simplest fonn. Understand what bias
Plot a linear function using capacity of a particular
means.
Convert between fractions, a table of values. object.
decimals and percentages. Understand the difference
Understand how to find Find_the area and
between experimental and
2 Find the HCF and LCM of the gradient and intercept perimeter of simple 20
theoretical probability.
two numbers. Of a function. shapes.
Interpret graphs and
Adding and subtracting Draw a graph to represent Find missing angles
diagrams including simple
negative numbers. a situation in context. using angles along a
pie charts.
straight line, around a
Multiply decimals by an Write down integers that
point, in a triangle or in a Calculate the mean and
integer. satisfy a given inequality.
quadrilateral. median of a simple set of
Convert between mixed Plot an inequality on a data.
Accurately draw angles
and improper fractions. number line.
using a protractor.
Adding and subtracting
Draw accurate plans and
fractions.
elevations of a given 3D
Multiplying and dividing shape.
fractions.
Recognise congruent
Calculate the percentage shapes.
of an amount.
Convert between metric
units of measure.
Reading from a bus/train
timetable.
88New Number Algebra Shape, Space & Data Handling Ratio & Proportion
GCSE Measure
Order numbers including Understand function Identify the number of Know the difference Simplify a given ratio.
negatives. machines. lines of symmetry of a between discrete and
given shape. continuous data.
Use place value to make Solve one and two step
approximations. equations. Identify nets of 30 shapes. Classify objects using a
Venn diagram.
Recognise equivalent Plot coordinates in all four Reflect shapes across
fractions. quadrants. horizontal or vertical lines. Draw and interpret from
dual and compound bar
Round to a given number Draw and interpret from a Tell the time.
charts.
of decimal places. distance time graph.
Change between a 12 and
Draw and interpret from a
Recognise multiples and Find the term to term rule 24 hour clock.
line graph.
factors. of a given sequence.
Measure objects in metric
Understand the use of
1 Identify prime numbers. units.
the mode and range to
Find a fraction of an Select the most describe a set of data.
amount. appropriate metric units to
use to measure an object.
Read and interpret scales.
Count sets of objects. Recognise sequences Describe the properties of Understand the data Understand simple ratios.
including even and odd 2D and 3D shapes. handling cycle.
Understand the place
numbers.
value of each digit. Use Mathematical names Record data in a tally
Understand basic algebraic for common 2D and 3D chart.
Order positive integers up
convention. shapes.
to 100. Draw and interpret from
Simplify expression by Identify the number of pictograms.
Recognise negative
collecting like terms. faces, vertices and edges
numbers in context (i.e. Draw and interpret from
of a 3D shape.
0 temperature). Plot coordinates in the first bar charts.
quadrant. Recognise acute, right,
Understand halves and Read information from a
obtuse, straight line and
quarters of numbers. table.
reflex angles.
Use words to describe
probability.
Add and subtract numbers
using the column method.
Multiply 2 digit by 2 digit
numbers.
Round to the nearest 10,
100, 1000.
Use BIDMAS to perform
calculations.
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