Distance, speed and time; average speed; limits of accuracy; maps, scale factors and scale drawings including area scale.
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.
A 5:30 a.m. flight, a map of Tobago, a measurement “to the nearest cm” — three real-world skills in one lesson.
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.
D = S × T; S = D ÷ T; T = D ÷ S. Keep units consistent (km with km/h, m with m/s).
km/h → m/s: ÷ 3.6. m/s → km/h: × 3.6.
Total distance ÷ total time — not the mean of the speeds.
Decimal hours → minutes: × 60 (1.25 h = 1 h 15 min).
Nearest unit: ± half the unit. Lower limit ≤ x < upper limit.
Max area = max × max; min area = min × min. Quotients: max ÷ min for the maximum.
1 : n means 1 cm on paper = n cm in real life. 100 000 cm = 1 km.
Square the linear factor (k²); cube it for volumes (k³).
3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Mathematics Arcade.
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 (17 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [8 marks]
A bus leaves Town A at 0730 and travels 90 km to Town B in 1 hour 30 minutes. It then travels 60 km to Town C at an average speed of 40 km/h.
(a) Calculate the average speed of the bus from A to B. [2]
(b) How long does the bus take to travel from B to C? [2]
(c) At what time does the bus arrive at C? [1]
(d) Calculate the average speed for the whole journey from A to C. [3]
Question 2 [9 marks]
A map is drawn to a scale of 1 : 25 000.
(a) How many kilometres does 1 cm on the map represent? [2]
(b) The distance between two towns on the map is 6.4 cm. Calculate the actual distance. [2]
(c) A lake has an actual area of 0.5 km². Calculate its area on the map in cm². [3]
(d) The distance 6.4 cm was measured to the nearest 0.1 cm. State the lower and upper limits of the actual distance. [2]
Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.