Mathematics - 9260 OxfordAQA

Mensuration And Calculation

Akopọ

This is the topic where knowing which formula to recall is worth as much as using it. There is no formulae sheet in any 9260 paper: the front cover lists a calculator and mathematical instruments and nothing else. Appendix 6.1 of the specification names the formulae you must carry in your head, and several of them live here: the circumference and area of a circle, Pythagoras, the three trigonometric ratios, the sine rule, the cosine rule, the area of a triangle as half ab sin C, the area of a trapezium and the volume of a prism.

You will use standard units of measure and change freely between them, including the compound units of speed and density; apply formulae for the area of triangles, parallelograms and trapezia and for the volume of a solid with a constant cross sectional area; work with the circumference and area of a circle and with composite shapes; and use Pythagoras and the trigonometric ratios in right-angled triangles in two-dimensional figures. On the Extension Tier you add surface area and volume of spheres, pyramids, cones, composite solids and frustums, the relationships between lengths, areas and volumes in similar figures, arc lengths and sectors, trigonometry in three dimensional figures, and the sine and cosine rules.

Awọn Afojusun

  1. [Core] use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money etc); change freely between related standard units (eg time, length, area, volume/capacity, mass) and compound units (eg speed and density) (Notes: 24 and 12 hour clock for times)
  2. [Core] know and apply formulae to calculate: area of triangles, parallelograms, trapezia; volume of 3D shapes using V = Ah where A is the constant cross sectional area and h is the height/length
  3. [Core] know and use the formulae: circumference of a circle = 2πr = πd; area of a circle = πr²
  4. [Core] calculate perimeters and areas of 2D shapes, including composite shapes
  5. [Extension] surface area and volume of spheres, pyramids, cones and composite solids including composite shapes and frustums of pyramids and cones (Notes: solutions in terms of π may be asked for)
  6. [Extension] use the relationships between lengths, areas and volumes in similar figures
  7. [Extension] calculate arc lengths, angles and areas of sectors of circles
  8. [Core] know the formula for: Pythagoras' theorem, a² + b² = c², and the trigonometric ratios sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ = opposite/adjacent
  9. [Core] apply them to find lengths and angles in right-angled triangles in two-dimensional figures
  10. [Extension] including 3D figures
  11. [Extension] know and apply the sine rule, a/sin A = b/sin B = c/sin C, and cosine rule, a² = b² + c² − 2bc cos A, to find unknown lengths and angles
  12. [Extension] know and apply Area = ½ ab sin C to calculate the area, sides or angles of any triangle

Àwòrán ọpọlọ

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Ṣí àwòrán ọpọlọ nínú áàpù

Akọ̀wé Ẹ̀kọ́

Start with the single most consequential fact about this topic. There is no formulae sheet. Appendix 6.1 of the specification opens with the sentence Students are expected to know the formulae below, which will not normally be given in the exam, and it closes with Other formula will be given in the examination in the question for which they are needed. So the list divides the whole subject in two, and knowing which side a formula falls on tells you exactly what to memorise.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Mensuration And Calculation. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. How many square centimetres are there in one square metre? A. 100 B. 1000 C. 10 000 D. 1 000 000 Answer: C
  2. A right-angled triangle has a hypotenuse of 73 cm and one other side of 48 cm. What is the third side? A. 25 cm B. 55 cm C. 61 cm D. 87 cm Answer: B
  3. Two similar solids have corresponding lengths 10 cm and 12 cm. The smaller has volume 500 cm^3. What is the volume of the larger? A. 600 cm^3 B. 720 cm^3 C. 864 cm^3 D. 1000 cm^3 Answer: C
  4. Which formula will NOT be printed on a 9260 question paper when it is needed? A. The volume of a cone B. The volume of a sphere C. The area of a circle D. The curved surface area of a cone Answer: C
  5. A triangle has sides 16 cm, 9 cm and 20 cm. Which rule finds the angle opposite the 20 cm side? A. Pythagoras B. The sine rule C. The cosine rule D. Half ab sin C Answer: C

Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà

Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà

Awọn Iwe Itọsọna Ti a Gba Nimọran

OxfordAQA International GCSE Mathematics Core (9260)
OxfordAQA International GCSE Mathematics Core (9260)
Atunkọ: Student Book
Olùtẹ̀jáde: Oxford University Press
Odún: 2016
ISBN: 978-0-19-837586-9
Apejuwe: The endorsed student book for the Core Tier of the 9260 specification, written for first teaching in September 2016. 520 pages covering every Core content statement with graded practice and worked model answers.
OxfordAQA International GCSE Mathematics Extension (9260)
OxfordAQA International GCSE Mathematics Extension (9260)
Atunkọ: Student Book
Olùtẹ̀jáde: Oxford University Press
Odún: 2016
ISBN: 978-0-19-837587-6
Apejuwe: The endorsed student book for the Extension Tier. 560 pages: it carries the whole Core content plus every Extension statement, so it is the one book to own if you are entered for Papers 1E and 2E.
Alex's Adventures in Numberland
Alex's Adventures in Numberland
Atunkọ: Dispatches from the Wonderful World of Mathematics
Olùtẹ̀jáde: Bloomsbury
Odún: 2011
ISBN: 978-1-4088-0959-4
Apejuwe: Where the mathematics on this specification came from and what it is for: counting systems, the golden ratio, probability paradoxes and the people who argued about them. Read it for the reason behind the rule.

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