Your progress
Ticks are kept only in this browser: clearing your browsing data or changing device loses them. · ·

Numeracy Intermediate June 2024 Unit 1 Q6

WJECIntermediateCurrent spec9 marks2D Area & PerimeterPercentagesScatter Diagrams & Correlation

6. Some houses in a village have new driveways laid by DriveDown.
The scatter diagram shows the area and cost of each driveway.

Scatter diagram: area of driveway (m²) from 20 to 30 against cost (£) from 1500 to 2100, with eight points rising from about (1600, 22.8) to about (2040, 29.4), including two points at area 28 m² with costs 1940 and 2010
(a)
(i) Two of these houses have the same area of driveway.
Calculate the difference in the cost of the new driveway for these two houses. [2]
(ii) Another house in the village has a driveway of area 25 m2.
Estimate the cost of having a new driveway laid by DriveDown for this house. [1]
(b) The measurements of Gwenda’s driveway are shown below.
Driveway shape: left side 10 m, top 2 m, right side 7 m going down from the top, then a sloping edge out to the bottom; bottom 6 m. Top and bottom are parallel, with right angles at the top two corners and the bottom left corner

Diagram not drawn to scale

Consider the exact area of Gwenda’s driveway.
Calculate an estimate of how much it would cost Gwenda to have a new driveway laid by DriveDown.
You must show all your working. [4]

(c) Tanya’s driveway covers an area of 23 m2.
She decides to have her driveway repaired instead of having a new driveway.

Tanya thinks the repair will cost her 40% of the estimated cost of having a new driveway laid by DriveDown.
She has budgeted £575 for the repair of her driveway.
Will Tanya’s budget cover the cost of repairing her driveway?

Yes ☐     No ☐

You must show all your working and give a reason for your answer. [2]

From the formula list: Area of trapezium \(= \dfrac{1}{2}(a+b)h\)

‹ Previous201 of 439 in 2D Area & PerimeterNext ›