How Paper 02 is built, how its 100 marks are split between conceptual knowledge, algorithmic knowledge and reasoning, how to set out working, and a self-marked mini mock across three sections.
5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.
Six questions, 100 marks, half of your final grade. The skill is not just knowing the mathematics — it is setting it out so every mark can be awarded.
Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.
Copy these into your notebook in your own words — that is how they stick.
2 h 40 min; 6 compulsory questions; 100 marks; 50% of the grade.
I: 2 × 15 (algebra, sequences & series); II: 1 × 20 (coord. geometry, vectors & trig); III: 2 × 15 (calculus); IV: 1 × 20 (probability & statistics).
CK 16, AK 54, R 30.
Calculate; show that; hence; justify; sketch; draw.
M method; A accuracy; B independent; R reason.
Formula → substitution → result → words.
≈ 1.6 minutes per mark.
Printed in the paper: series, circle, vectors, trigonometry, statistics.
8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.
Write full answers, then reveal the mark scheme and tick the points you earned (42 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [15 marks]
A calculator may be used. All working must be shown.
(a) Solve 2^(2x) − 5(2ˣ) + 4 = 0. [4]
(b) Solve log₂(x + 3) + log₂(x − 1) = 5, stating clearly why one root is rejected. [5]
(c) An arithmetic progression has first term 7 and common difference 5. Find the sum of its first 20 terms. [3]
(d) Find the sum to infinity of the geometric series 12 + 4 + 4/3 + … [3]
Question 2 [15 marks]
A calculator may be used. All working must be shown.
(a) Differentiate y = x² sin 3x with respect to x. [3]
(b) Find the coordinates of the stationary points of y = x³ − 12x + 5 and determine their nature. [6]
(c) Evaluate ∫₁² (6x² − 4x + 1) dx. [3]
(d) A particle has velocity v = 3t² − 6t m/s and s = 0 when t = 0. Find the displacement when the particle is at rest (t > 0). [3]
Question 3 [12 marks]
A calculator may be used. All working must be shown.
(a) Events A and B have P(A) = 0.5, P(B) = 0.3 and P(A ∩ B) = 0.1. Find P(A ∪ B) and P(A | B), and state with a reason whether A and B are independent. [6]
(b) The data 4, 7, 9, 10, 15 have mean 9. Calculate the variance and the standard deviation. [6]
Everything in this lesson is based on these parts of the CXC syllabus and papers.