GCSE Mathematics and Numeracy
Mae disgrifiad y cymhwyster yn Saesneg yn unig, gan ei fod wedi ei gymryd o fanyleb Saesneg CBAC.
This double award is assessed by three written papers, one of them non-calculator, covering number, algebra, geometry and measures, statistics and probability, with Unit 1 given over to financial mathematics in real-world contexts. Literacy matters more than many expect: every paper sets questions in written context and awards two marks for communicating, organising and writing accurately, so learners must read problems closely and explain their working in words. The biggest thing Key Stage 3 should build is solving multi-step worded problems from real contexts, with every step explained and a written conclusion.
- Corff dyfarnu
- CBAC
- Lefel
- Level 1 and Level 2
- Addysgu gyntaf
- Medi 2025
- Faint o waith llythrennedd
- Canolig
- Faint o waith rhifedd
- Uchel
- Manyleb
- Agor y fanyleb
Sut mae'r cymhwyster hwn yn cael ei asesu
- Unit 1: Financial Mathematics and Other Applications of Numeracy: Written examination, Higher Tier 1 hour 45 minutes (80 marks), Foundation Tier 1 hour 30 minutes (65 marks), 30%, calculator allowed
- Unit 2: Non-calculator: Written examination, Higher Tier 1 hour 45 minutes (80 marks), Foundation Tier 1 hour 30 minutes (65 marks), 30%, calculator not allowed
- Unit 3: Calculator-allowed: Written examination, Higher Tier 2 hours (90 marks), Foundation Tier 1 hour 45 minutes (75 marks), 40%, calculator allowed
Sgiliau sy'n defnyddio Siâp a gofod
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Scale drawings, maps and bearings
Units 1 and 3 require learners to read scales, use maps, produce scale drawings with scales such as 1:500 and use three-figure bearings, and Unit 3 adds constructions and loci with ruler, protractor and compasses.
Rhifedd: Ongl, Safle, Mesur, Cyfrifiad, Siâp a gofod
Paratoi disgyblion
- Blwyddyn 7
- Pupils measure the classroom with trundle wheels and tape measures and draw an accurate floor plan on squared paper at a scale of 1 cm to 1 m.
- Blwyddyn 8
- Pupils use an Ordnance Survey map of the Cynon Valley to measure real distances with the map scale and give three-figure bearings between landmarks.
- Blwyddyn 9
- Pupils construct a scale drawing of the school field with ruler and compasses and shade the region within 20 m of a sprinkler using loci.
Dangos geiriad y fanyleb a datganiadau'r Fframwaith Llythrennedd a Rhifedd
Ble mae yn y fanyleb: Units 1 and 3, Section 3.3, page 31, and Section 3.2, page 30
“interpret and produce scale drawings; scales may be written in the form 1 cm represents 5 m, or 1:500”
Cam cynnydd 3
Rwy'n gallu defnyddio ongl fel mesur cylchdro.
Rwy'n gallu defnyddio cyfeirnodau grid i nodi lleoliad.
Rwy'n gallu darllen a dehongli graddfeydd neu raniadau ar amrywiaeth o offerynnau mesur.
Cam cynnydd 4
Rwy'n gallu mesur a lluniadu onglau.
Rwy'n gallu cymhwyso dealltwriaeth o gyfeiriannau a graddfa i ddehongli mapiau a chynlluniau, ac i greu cynlluniau a lluniadau wrth raddfa.
Rwy'n gallu defnyddio cymarebau a chyfrannau gan gynnwys graddfeydd map.
Cam cynnydd 5
Rwy'n gallu mesur a lluniadu onglau.
Rwy'n gallu cymhwyso newid cyfrannol i ddyluniadau dau ddimensiwn.
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Using formulae, including perimeter, area and volume
Learners substitute into formulae written in words or symbols, change the subject of a formula, and apply perimeter, area and volume formulae to 2-D and 3-D shapes, recalling most formulae because the Foundation formula lists give only the trapezium and prism.
Rhifedd: Siâp a gofod, Cyfathrebu â symbolau, Mesur, Cymhwysedd strategol
Paratoi disgyblion
- Blwyddyn 7
- Pupils write word formulae for real situations, such as a taxi fare, rewrite them in symbols, and use formulae to find the perimeter and area of rectangles.
- Blwyddyn 8
- Pupils find the area of composite shapes and circles on a school garden plan, showing the formula, the substitution and the units at each step.
- Blwyddyn 9
- Pupils calculate the volume and capacity of prisms and cylinders, such as a rainwater tank, and rearrange formulae to find a missing length.
Dangos geiriad y fanyleb a datganiadau'r Fframwaith Llythrennedd a Rhifedd
Ble mae yn y fanyleb: All units, Section 2.1.2, page 21, and Units 1 and 3, Section 3.6, page 36
“substitute positive and negative whole numbers, fractions and decimals into simple formulae and expressions written in words or in symbols”
Cam cynnydd 3
Rwy'n gallu mesur a chyfrifo perimedr.
Rwy'n gallu dod o hyd i arwynebedd drwy gyfrif sgwariau, gan ddatblygu i gyfrifo arwynebedd sgwariau a phetryalau drwy ddefnyddio fformiwlâu.
Rwy'n gallu defnyddio nodiant, symbolau ac unedau mesur priodol.
Cam cynnydd 4
Rwy'n gallu dangos dealltwriaeth o'r berthynas rhwng fformiwla sy'n cynrychioli mesuriad a'r unedau a ddefnyddir.
Rwy'n gallu cyfrifo arwynebedd siapiau dau ddimensiwn syml a chyfansawdd, gan gynnwys cylchoedd.
Rwy'n gallu cymhwyso'r fformiwlâu ar gyfer cyfaint prismau syml.
Cam cynnydd 5
Rwy'n gallu cyfleu fy atebion gan ddefnyddio ffurf fathemategol gywir.
Rwy'n gallu defnyddio nodiant, symbolau ac unedau mesur priodol, gan gynnwys mesurau cyfansawdd.
Rwy'n gallu adnabod, modelu a chymhwyso'r strwythurau a syniadau mathemategol wrth wraidd problemau, er mwyn eu fformiwleiddio a'u datrys.
Da gwybod
- Unit 1 allows a calculator: 'A calculator will be allowed in this paper.' (page 5).
- Unit 2 is non-calculator: 'A calculator will not be allowed in this paper.' It holds all probability and much of the geometry (pages 5 and 10).
- Unit 3 allows a calculator and holds most of the data handling and measures content (pages 5 and 10).
- Two marks on each paper, at each tier, are for 'communicating, organising and writing accurately', six marks across the qualification, 'in addition to the marks allocated to the mathematics'. One mark is for communicating and organising, one for writing accurately, and the questions are clearly indicated on the paper (page 51).
- Writing accurately means learners 'show all their working', 'use correct mathematical form in their working' and 'use appropriate terminology, units, etc.' (page 51).
- Calculators must not offer language translators or hold stored dictionaries, formulas or text, and must not be borrowed from another candidate during the examination (page 52).
- Units 1 and 3 have a formula list at the start of the paper; Unit 2 has none. The Foundation Tier lists give only the area of a trapezium and the volume of a prism, so all other formulae must be recalled (pages 52 to 55).
- Metric to imperial equivalences 'will be given to learners' (Section 3.5.7, page 35), and compasses 'will be required' for some constructions and loci in Unit 3 (Section 3.2.2, page 30).
- There is no NEA. All assessment is by written examination, tiered Higher (grades A* to D) and Foundation (grades C to G), and learners may be entered at different tiers across units (pages 6 and 59).
Cysylltiadau â chymwysterau eraill
The finance, percentage, compound measure and statistics content overlaps heavily with Business, Geography, Social Studies and The Sciences, so agreeing shared methods for percentages, graphs and units with those departments will reinforce Key Stage 3 teaching.
Ffynhonnell: WJEC GCSE Mathematics and Numeracy (Double Award) Specification, for teaching from September 2025, Version 5, September 2025.