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

Numeracy Intermediate June 2023 Unit 1 Q9

WJECIntermediateCurrent spec11 marksCompound MeasuresConstructionsDrawing & Using Graphs

9.

(a) Hesta and Walt hire a canal boat in Llangollen for their holiday.

Hesta records their distance along the canal from Llangollen between 8 a.m. and 4 p.m.
This is shown in the travel graph below.

Travel graph: distance along the canal from Llangollen (km) from 0 to 12 against time from 08:00 to 16:00. Line from 0 at 08:00 to 3 at 08:30, 4.5 at 09:00, 6 at 10:00, 9 at 11:00, level at 9 until 12:30, down to 4.5 at 14:00, level until 15:00, then down to 3 at 16:00
(i) During the day, Hesta and Walt made stops by the side of the canal.
At what time did Hesta and Walt first stop at the side of the canal? [1]
(ii) Between which two times were Hesta and Walt travelling the fastest?
Circle your answer. [1]

08:00 and 08:30     08:30 and 09:00     10:00 and 11:00

12:30 and 14:00     15:00 and 16:00

(iii) What is the total distance Hesta and Walt travelled in the boat between 8 a.m. and 4 p.m.?
Circle your answer. [1]

3 km     9 km     12 km     15 km     18 km

(b) Hesta and Walt visit Chirk Castle.
Map with a North arrow showing Llangollen, Pontcysyllte Aqueduct, Chirk Castle and nearby villages (Llantysilio, Acrefair, Froncysyllte, Glyn Ceiriog, Dolywern, Llwynmawr, Pontfadog, Bronygarth) and the A5 road. Llangollen is up and to the left of Chirk Castle
(i) Which is the best estimate for the bearing of Llangollen from Chirk Castle?
Circle your answer. [1]

060°     240°     120°     340°     300°

(ii) The direct straight-line distance between Llangollen and the Pontcysyllte Aqueduct is 5·6 km.
On the map this distance is 5·6 cm.
What is the scale of the map?
Circle your answer. [1]

1 : 10     1 : 1000     1 : 10 000     1 : 100 000     1 : 1 000 000

(c) The Pontcysyllte Aqueduct was built to carry the Llangollen canal over a valley.

The following facts about the section of the canal over the aqueduct were found on the internet.

  • It has a rectangular uniform cross-section.
  • It is 300 m in length.
  • It holds 1 500 000 litres of water.
  • It takes 2 hours to drain the water.
(i) The section of the canal over the aqueduct is to be drained.

Calculate the number of litres of water that drain from this section of the canal per minute.
You may assume that the water drains from the canal at a constant rate.
You must show all your working. [3]

(ii) Calculate the area of the canal’s uniform cross-section.
Give your answer in cm2. [3]
‹ Previous252 of 411 in Compound MeasuresNext ›