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Numeracy Foundation November 2016 Unit 1 Q1

WJECFoundationCurrent spec10 marks2D Area & PerimeterDrawing & Using Graphs

1. A landscape gardener designs gardens.
He uses a coordinate grid to show the position of plants and trees.
He has started to create a plan for one of his customers.
The table below shows some of the items that are to be put into the garden.

Table of pictures: Wooden table & chairs, Fountain, Flowering shrub, Large tree, Winter tree, Flowering tree
Coordinate grid, x and y from −5 to 5, with pictures of the garden items placed at grid points; the fountain is in the first quadrant
(a) What are the coordinates of the fountain?
Circle your answer. [1]

(4, 3)    (3, 3)    (3, –3)    (3, 4)    (4, –3)

(b) The gardener is going to place
  • the wooden table and chairs at A (–1, 2)
  • a flowering shrub at B (1, 0).
Plot the positions of points A and B on the grid above. [2]
(c) The lawn in the garden is rectangular.
It has length 4·5 metres and width 3 metres.
(i) What units should be used for the area of the lawn?
Circle your answer. [1]

m    cm    m2    m3    yards

(ii) What is the area of the lawn? [2]
(d)

The gardener has a stack of bricks to build a barbeque.
The stack is 154 cm tall.

Each layer of bricks has the pattern shown below.

One layer of bricks drawn in 3D: a square slab made of 8 rectangular bricks in a pinwheel pattern, thickness 7 cm

The thickness of one layer of bricks is 7 cm.
How many bricks are there in the stack altogether? [4]

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