Decimal places and significant figures, scientific notation, ordering real numbers, place value in bases 2, 4, 8 and 10, and converting units and time.
6 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 calculator shows 14 digits. The exam wants two or three. Knowing how to round — and how other number bases work — is a quick source of marks.
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.
Count after the point. Look at the next digit to round.
Count from the first non-zero digit. Keep placeholder zeros (3 417 → 3 400).
a × 10ⁿ, 1 ≤ a < 10, n an integer. Large number → positive n; small number → negative n.
Column values are powers of the base. Convert to base 10 by adding digit × column value; from base 10 by repeated division, remainders read upwards.
Face value = the digit. Place value = column worth. Value = face × place.
km → m ×1 000; m → cm ×100; m → mm ×1 000; kg → g ×1 000; L → mL ×1 000. Square/cube the factor for area/volume.
Add 12 to p.m. hours; durations = end − start.
Convert to decimals first; ascending = smallest first.
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 (18 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [9 marks]
A calculator may be used.
(a) Write each number correct to 1 significant figure: (i) 0.367 (ii) 3.94 (iii) 19.72. [3]
(b) Hence, estimate the value of 19.72 × 0.367 ÷ 3.94, showing your working. [2]
(c) Express 0.00759 and 45 300 in standard form. [2]
(d) Calculate (3 × 10⁴) × (2.5 × 10³), giving your answer in standard form. [2]
Question 2 [9 marks]
Answer all parts.
(a) Convert 110101₂ to a number in base 10, showing the value of each digit. [3]
(b) Express 38 as a number in base 2. [3]
(c) A bus leaves at 0745 and arrives at 1420. (i) Write 1420 in 12-hour time. (ii) Find the journey time in hours and minutes. [3]
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.