Mathematics Specification A - 4MA1 PearsonEdexcel

Mensuration Of 2D Shapes

Muhtasari

Mensuration is the branch of mathematics concerned with measuring lengths, areas and volumes. In two dimensions you need to find perimeters (the distance around a shape) and areas (the space inside a shape) for triangles, rectangles, parallelograms, trapezia, circles, semicircles and compound shapes built from these.

This topic also requires you to convert fluently between metric units for both length and area. Higher-tier students extend circle work to arc lengths and sector areas. These skills appear across both papers and connect directly to 3D mensuration and trigonometry.

Malengo

  1. Convert measurements within the metric system to include linear and area units
  2. Find the perimeter of shapes made from triangles and rectangles
  3. Find the area of simple shapes using the formulae for the areas of triangles and rectangles
  4. Find the area of parallelograms and trapezia
  5. Find circumferences and areas of circles using relevant formulae; find perimeters and areas of semicircles
  6. [Higher] Find perimeters and areas of sectors of circles

Maelezo ya Somo

Every physical object has surfaces that can be measured. The glass in a window, the turf on a football pitch, the fabric in a sail: each demands a reliable way to calculate how much material is needed. Mensuration gives you those tools.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Mensuration Of 2D Shapes. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  1. The area of a triangle with base 10 cm and height 6 cm is: A) 60 cm^2 B) 30 cm^2 C) 16 cm^2 D) 36 cm^2 Answer: B
  2. How many cm^2 are in 1 m^2? A) 100 B) 1000 C) 10 000 D) 100 000 Answer: C
  3. The circumference of a circle with diameter 10 cm is: A) 10pi cm B) 25pi cm C) 100pi cm D) 5pi cm Answer: A
  4. A trapezium has parallel sides 8 cm and 12 cm with height 5 cm. Its area is: A) 40 cm^2 B) 50 cm^2 C) 60 cm^2 D) 100 cm^2 Answer: B
  5. The perimeter of a semicircle with diameter 14 cm is closest to: A) 22.0 cm B) 36.0 cm C) 44.0 cm D) 58.0 cm Answer: B

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