Main Course for Intermediate Students 
Number & Algebra  Diagnostic Test  

Diagnostic Test Answers  

NA1  2a  Calculate Highest Common Factors & Least Common Multiples  

NA2  2a 3a  Know What a Prime Number is & Write Whole Numbers as the Product of Primes  

NA3  3a  Calculate with Negative Numbers with & without a Calculator using + ÷  

NA4  5a 5g  Substitute Numbers into a Formula  

NA5  2b 5d 3a  Know & Use the Index Laws (for Numbers and Letters)  

NA6  3h  Round to a Given Number of Significant Figures  

NA7  2b 3h 3m 3r  Write Numbers in Standard Index Form & Understand the Calculator Display  

NA8  3f 2f  i) Simplify Ratio ii) Divide a Quantity in a Given Ratio  

NA9  3d  Calculate with Fractions with & without a calculator using + ÷  

NA12  3e 3j 3k 3t  Solve Simple % Problems and Compound Interest Problems  

NA13  3e 3j 3s  Solve Reverse Percentage Problems  

NA14  3l 5h  Solve Direct Proportion Problems  

NA16  5b  Expand Brackets i) Single ii) Double  

NA17  5b  Factorise Expressions i) Linear ii) Quadratic  

NA19  5e  Set Up Simple Equations (Linear)  

NA20  5e 5f  Solve Simple Equations (Linear) i) Basic ii) with Brackets iii) 'Over One' Equations  

NA21  5g  Change the Subject of a Formula i) Basic ii) where the Power of the Subject Appears & Equations iii) where the Subject occurs Twice  

NA22  5j  Solve Simple Linear Inequalities  

NA23  5j  Solve Several Linear Inequalities in Two Variables & find the Solution Set  

NA24  6a  Continue Common Sequences  

NA25  5m  Solve Problems using Trial & Improvement Methods  

NA26  5k  Solve Quadratic Equations by Factorisation  

NA28  5h 5i  Solve Simultaneous Linear Equations  

NA30  6a  Describe The nth term of a Sequence  

NA31  6b  Understand the Straight Line Equation y = mx + c  

NA32  6c  Know when Lines are Parallel  

NA33  6d  Understand i) a DistanceTime Graph ii) a VelocityTime Graph  

NA34  6e 6f  Plot Quadratics & Cubics  

NA35  3a 6f  Understand the Word Reciprocal, Plot the Reciprocal Function and Recognise the Shape of the Graph of the Reciprocal Function  

Your Turn & Acid Test Answers  

Shape & Space  Diagnostic Test  

Diagnostic Test Answers  

SS1  2f 3e  Calculate lengths using Pythagoras' theorem  

SS2  2g  Calculate lengths & angles using trigonometry for right angled triangles  

SS6  2g 4a  Draw/Sketch/Interpret a Diagram using Bearings  

SS7  2i  Calculate the Surface Area of Prisms & Cylinders  

SS8  2i 4d  Calculate the Volume of Prisms & Cylinders  

SS9  2h  Know basic Circle Properties Know & Use the Circle Theorems
The Circle Properties are:
i) that tangent and radii are perpendicular
ii) tangents from an external point are equal in length
iii) the perpendicular from the centre to a chord, bisects the chord
The Circle Theorems are:
i) angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference
ii) the angle subtended at the circumference by a semicircle is a right angle
iii) angles in the same segment are equal
iv) opposite angles of a cyclic quadrilateral sum to 180 degrees  

SS12  4c  Draw Basic Constructions
i) equilateral triangle
ii) perpendicular bisector
iii) the perpendicular from a point to a line
iv) the angle bisector 


SS13  6h  Construct Basic Loci
i) The fixed distance from a single point : Circle
ii) The equidistance from two lines (or nearer to one line than another): Perpendicular Bisector
iii) The equidistance from two points (or nearer one point than another): Angle Bisector
iv) The fixed distance from a line: Race Track 


SS14  3a 3b  Describe the Transformations; Reflections/Rotations/Translations Notes: Rotation from any point & calculate the angle of rotation. Translation as a vector.  

SS15  3c 3b  Describe & construct Enlargements of objects using positive & fractional scale factors  

SS16  2g  Calculate lengths in similar triangles  

SS18  3d  Decide if a Formula is a Perimeter, Area or Volume by considering Dimensions  

SS19  4a  Calculate Compound Measures like Speed & Density  

SS20  4d  Convert between Volume Measures including cm3 and m3  

Your Turn & Acid Test Answers  

Handling Data  Diagnostic Test  

Diagnostic Test Answers  

HD1  5f 4i  Recognise Positive, Negative & Zero Correlation using lines of best fit. Note also covered in this section is drawing lines of best fit.  

HD2  4b 4h  i) Estimate Probability using Relative Frequency ii) Use Tree Diagrams  

HD3  2c 2d  Describe Random, Stratified Sampling, Bias & Primary & Secondary Data Tested via: i) Identify possible sources of Bias ii) Describe the difference between Primary & Secondary Data  

HD4  4e  Basic Statistical Calculations Mean/Median/Mode/Range/Quartiles Tested via: i) Calculate the Mean for large data sets with Grouped Data ii) Calculate the Median/Mode/Range for ungrouped data in a table iii) Calculate Quartiles for ungrouped data. (Tabulated or not).  

HD5  4f  Calculate Moving Averages  

HD6  4a  Produce Cumulative Frequency Tables & Diagrams  

HD7  4a  Interpret or Draw Box Plots  

Your Turn & Acid Test Answers  
