Comparing quantities with ratio, sharing in a given ratio, direct proportion, rates, and finding terms and rules of number sequences.
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.
Recipes, maps, currency, speed — all ratio. And every pattern in the investigation question starts with a sequence.
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.
Same units first; divide all parts by the HCF.
Add parts → one part = total ÷ parts → multiply. If given a difference between shares, one part = difference ÷ difference in parts.
y = kx. Use the unitary method (find one first).
Compare two different units. Best buy = lowest cost per unit (or most per dollar).
Divide to go to the stronger currency; multiply to go to the weaker. Check the answer is sensible.
Constant common difference d → Tₙ = dn + (T₁ − d).
If the differences change by a constant, the sequence is quadratic; extend the pattern of differences to continue it.
Substitute n = 1, 2, 3 into your rule and compare with the given terms.
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]
Jim packs cases of fruit juice. Each case contains 24 boxes in three varieties — apple, orange and pineapple — in the ratio 2 : 5 : 1.
(a) How many boxes of pineapple juice are in each case? [2]
(b) How many boxes of orange juice are in 15 cases? [3]
(c) Shop A sells 6 boxes for $20.10 and Shop B sells 10 boxes for $32.00. Which shop gives the better price per box? Show your working. [4]
Question 2 [9 marks]
The first four patterns in a sequence of tile designs use 5, 8, 11 and 14 tiles respectively.
(a) Write down the number of tiles in Pattern 5 and Pattern 6. [2]
(b) Derive an expression for the number of tiles in Pattern n. [3]
(c) Determine which pattern uses exactly 101 tiles. [2]
(d) Explain why no pattern can use exactly 100 tiles. [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.