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Numeracy Foundation June 2019 Unit 1 Q1

WJECFoundationCurrent spec7 marks2D Area & PerimeterConstructionsPlans, Elevations & Nets

1. Elwyn wants to put a shed in his garden.

(a) The diagram below shows a plan of his garden.
The scale is 1 cm represents 1 m.
It shows the position of the house, the hedge and the flower bed.
Plan of the garden on a centimetre grid: the house along the left side (4 squares wide, 9 squares tall), the flower bed along the top right (8 squares long, 1 square deep, starting 2 squares from the house) and the hedge along the bottom (10 squares long, 1 square deep, next to the house)

Scale: 1 cm represents 1 m

The base of Elwyn’s shed is rectangular. It is 4 m long and 3 m wide.

He wants the shed to be:

  • at least 3 m from the house,
  • at least 1 m from the hedge,
  • exactly 2 m from the flower bed.

Draw a possible position for the shed on the diagram. [3]

(b) Elwyn wants to cover the base of the shed with carpet tiles.
The carpet tiles cost £15 for each 1 m2.
Calculate the total cost of the carpet tiles. [3]
(c) This is a picture of Elwyn’s hedge.
Picture of a hedge trimmed into a long box shape with rectangular faces

Which of the words below best describes the shape of the hedge?
Circle your answer. [1]

sphere    cylinder    cone    cube    cuboid

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