← GCSE Mathematics

R7-R8 Ratio, fractions and linear functions

Currently Secure · last touched 2026-10-22

Both items had the same number of blue parts before and after, so one part stayed the same; a version where blue's parts change is untested.

Every change

WhenChangeEvidenceSession
2026-10-22Secure → Secure22 Oct, non-calc, mixed set, unaided: red:blue 3:4 with 12 red, blue added to make 3:7 -> 12/3 = 4, 4x4 = 16, 4x7 = 28, 28-16 = 12 added. Right, four lines before the answer, no prompt for the one-part line, 13 min. First item where blue's parts change; the loose end is closed.session 130
2026-10-20Secure → Secure20 Oct, non-calc: changing ratio 3:5 with 15 red to 4:5 right (20) with both lines after the one-part line was asked for; fresh 2:3 with 12 red to 5:3 alone: 12/2 = 6, 5*6 = 30, 30-12 = 18 added, 1/1 unaided with working.session 120
2026-10-16Secure → Secure16 Oct, non-calc, typed. Changing ratio 4:5 with 20 blue, scaffolded one step per message: one part = 4 right; red answered 5 (parts count) then 16 after a prompt; 6:5 gave 24 then 8 added, right. Fresh 3:7 with 21 yellow unaided: 9 right, answer only, lines only after two prompts. The 14 Oct item (0/4) now done with support; nothing yet alone.session 111
2026-10-14Secure → Securepaper #9 Q6: 0/4, loss=knowledge — wrote 'for every 4 red there are 5 blue' in 1 min, no parts, no method; not returned to with 15 min unusedsession 104
2026-10-02Secure → SecureMixed set Q5 unaided, non-calc: red:blue 2:7, fraction blue → '7/9' correct first time (answer only).session 65
2026-09-28Secure → Secure28 Sep, non-calc: share 3:7, Ben's fraction → 7/10 ✓ unaided, 6 days after last ask.session 49
2026-09-22Secure → Secureaudit: bar re-confirmed in session 38 (22 Sep) — b = a × 2.5 and y = (x/4) × 3, both unaided and correct; completes the letter-in-terms-of-letter direction, the last untested part of this ref. Resolves secure_seen_not_moved flag.standalone
2026-09-22Secure → Secure22 Sep, non-calc, unaided: a:b = 2:5 → b = a × 2.5; y:x = 3:4 → y = (x/4) × 3. Ratio-to-function direction (letter in terms of letter) now evidenced twice in one sitting, both correct. Notation informal but acceptable.session 38
2026-09-21Secure → Secureaudit: bar met in session 34 — ratio-to-fraction retested: 2:7 → 7/9 and a:b=2:5 → a=2/7, both correct unaided, non-calculator; ratio-to-function direction (b in terms of a) not reached.standalone
2026-09-21Secure → Secure21 Sep practice, non-calc: 2:7 → 7/9 ✓; a:b = 2:5 → a is 2/7 of total ✓. Writing b in terms of a not reached (session stopped).session 34
2026-09-15Secure → Secureaudit: bar met in session 24 — 3:5 → 3/8 unaided, non-calculator, four weeks after last retest; spacing loose end closed, confirmed secure.standalone
2026-09-15Secure → Secure15 Sep starter, non-calc: red:blue 3:5, fraction red → 3/8 unaided, four weeks after the 18 Aug retest. The spacing loose end is closed.session 24

In papers

AttemptPaperQMarksNote
Exam practice — week 42 · maths, lit, cs — GCSE Mathematics sectionexam-skills #960/40. Wrote 'for every 4 red there are 5 blue' in 1 min — a restatement of the final ratio, no method, no parts. Not a non-attempt but a first line only; not returned to with 15 min unused. loss=knowledge (changing ratio: no method to start).