🎯 Exam Prep & Practice Quiz
You have covered all the E-Math content topics — now it is time to prepare for exam day. This chapter covers exam strategy, a final revision checklist, key formulae reference, and a comprehensive 40-question practice quiz covering the entire syllabus.
🎯E-Math Exam Day Strategy
Knowing the content is only half the battle — you also need a solid exam strategy. Here are proven tips from students who scored A1 in O-Level E-Math:
Paper 1: Short Answer (90 min, 80 marks)
- • Do the easy questions first (1-2 mark questions) to build confidence
- • Show ALL working — even for Paper 1. Method marks can be awarded even if final answer is wrong
- • For "show that" questions, you must derive the given answer — do not just verify it
- • Aim to finish with 15 minutes spare for checking
Paper 2: Structured Questions (90 min, 100 marks)
- • Questions are longer with multiple parts (a), (b), (c) — often (a) feeds into (b)
- • If stuck on (a), use the given answer to attempt (b) and (c) — you can still score
- • Draw diagrams for geometry and graph questions — even if not asked, they help you visualise
- • Budget ~1 minute per mark: a 5-mark question should take ~5 minutes
Calculator Tips (Paper 2 only)
- • Store intermediate answers in the calculator memory (M+) to avoid rounding errors
- • Use the Ans button instead of retyping previous results
- • Check your calculator is in DEG mode (not RAD) for trigonometry questions
- • Bring a spare calculator — batteries can die during the exam
Common Mark-Losing Mistakes
- • Forgetting units (cm, cm², cm³, degrees, $) — always include units in your final answer
- • Premature rounding — keep at least 4 decimal places in working, round only at the end
- • Not reading the question: "give your answer in terms of pi" means do NOT use 3.14159...
- • Sign errors in algebra — double-check when expanding brackets or solving equations
✅Final Revision Checklist
Use this checklist to ensure you have covered all the essential topics before the exam:
Number & Algebra
- ☐ Prime factorisation, HCF, LCM
- ☐ Standard form (A x 10ⁿ)
- ☐ Laws of indices
- ☐ Ratio, proportion, percentage
- ☐ Algebraic manipulation & factorisation
- ☐ Quadratic equations & formula
- ☐ Simultaneous equations
- ☐ Linear inequalities
Functions & Graphs
- ☐ Linear graphs (y = mx + c)
- ☐ Quadratic graphs (parabolas)
- ☐ Power and exponential graphs
- ☐ Gradient from graph / tangent
- ☐ Sets and Venn diagrams
- ☐ Matrix operations
Geometry & Trigonometry
- ☐ Angle properties (parallel lines, polygons)
- ☐ Congruence and similarity
- ☐ Circle properties and tangent theorems
- ☐ Pythagoras theorem
- ☐ Trigonometric ratios (SOH CAH TOA)
- ☐ Sine rule and cosine rule
- ☐ Bearings
Mensuration & Statistics
- ☐ Area and perimeter (all shapes)
- ☐ Volume and surface area
- ☐ Arc length and sector area
- ☐ Coordinate geometry (midpoint, distance, gradient)
- ☐ Vectors (addition, scalar multiplication)
- ☐ Mean, median, mode, standard deviation
- ☐ Cumulative frequency and box plots
- ☐ Probability (tree diagrams, complement rule)
The 80/20 Rule for E-Math Revision
Focus on the topics that carry the most marks: Algebra (20-25%), Geometry & Trigonometry (20-25%), and Statistics & Probability (15-20%) make up about 60-70% of the exam. If you are running out of revision time, prioritise these three areas. Number topics and graphs tend to carry fewer marks but are usually easier.
📋Formulae Given on the Exam Paper
These formulae are printed on the exam paper — you do NOT need to memorise them. However, you must know when and how to use each one correctly:
Quadratic Formula: For solving any quadratic equation when factorisation is not easy
Curved Surface Area of Cone: Used in mensuration questions involving cones
Volume of Cone: One-third of the cylinder with same base and height
Surface Area & Volume of Sphere: Used in sphere and hemisphere questions
Arc Length & Sector Area: For circular measure questions involving angles in radians or degrees
Sine Rule & Cosine Rule: For non-right-angled triangles — know when to use each
Standard Deviation: For calculating spread of data from frequency tables
Formulae NOT Given — You Must Memorise These!
• Pythagoras theorem: a² + b² = c²
• SOH CAH TOA (trig ratios for right-angled triangles)
• Gradient = rise/run = (y2-y1)/(x2-x1)
• Midpoint = ((x1+x2)/2, (y1+y2)/2)
• Distance between two points
• Area of triangle = 0.5 x base x height
• Probability = favourable outcomes / total outcomes
• Speed = distance/time, compound interest formula
• Laws of indices (all 7 laws)
You Have Completed the E-Math Guide!
Well done on working through all 10 chapters of the O-Level E-Math Study Guide! You have covered every topic in the SEAB Syllabus 4052, from Numbers and Algebra to Statistics and Probability. Remember: practice is key. Do at least 3 past papers under timed conditions before the exam. Review your mistakes after each paper, and focus your revision on weak areas. You are well-prepared — all the best for your O-Level E-Math exam!
🎮E-Math Practice Quiz
Test your knowledge across all topics. 40 questions covering the entire E-Math syllabus. Challenge yourself and see how well you have mastered the content!
Quick Check
O-Level E-Math Practice Quiz
What is ?
Express 0.00356 in standard form.
$5000 is invested at 4% per annum compound interest. What is the amount after 3 years?
Simplify:
Factorise:
Solve using the quadratic formula. What are the two solutions?
Solve the simultaneous equations: and
If and , find the range of .
What is the gradient of the line passing through and ?
The line is perpendicular to line . What is the gradient of ?
For the quadratic , what is the -coordinate of the turning point?
What is the sum of interior angles of a heptagon (7 sides)?
Each exterior angle of a regular polygon is 40°. How many sides does the polygon have?
Two similar triangles have corresponding sides in the ratio . If the area of the smaller triangle is 27 cm, find the area of the larger.
Triangle is enlarged by scale factor , centre . Which statement is TRUE?
In a circle, the angle at the centre is 140°. What is the angle at the circumference subtended by the same arc?
In a right-angled triangle, the opposite side is 5 cm and the hypotenuse is 13 cm. Find the adjacent side.
In triangle , angle , angle , and cm. Find .
In triangle , , , and angle . Find the area of the triangle.
is a cyclic quadrilateral. If angle , what is angle ?
A sector has radius 10 cm and angle 72°. Find the arc length.
Find the volume of a cone with radius 6 cm and height 10 cm.
The surface area of a sphere is cm. What is its radius?
Find the distance between points and .
Given vectors and , find .
Points , , and are collinear. Find .
The mean of 5 numbers is 12. A 6th number is added and the new mean is 14. What is the 6th number?
From a cumulative frequency curve of 80 values, at what cumulative frequency do you read the median?
The data set is: 3, 5, 7, 7, 8, 10, 12. What is the interquartile range?
A fair die is rolled once. Find (prime number).
A bag has 4 red and 6 blue marbles. Two marbles are drawn without replacement. Find P(both red).
Events and are independent. and . Find .
A coin is tossed 3 times. Find the probability of getting at least one head.
A map has a scale of . Two towns are 8 cm apart on the map. What is the actual distance?
Which of these is NOT a valid test for congruent triangles?
The bearing of from is 125°. What is the bearing of from ?
Simplify:
A cylinder and a cone have the same base radius and height. The volume of the cylinder is 150 cm. What is the volume of the cone?
If and is acute, find .
Using the cosine rule, find side given , , and angle .
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