Question
The scale of a map is 1 :500 000 .
(a) The actual distance between two towns is 172 km.
Calculate the distance, in centimetres, between the towns on the map.
Answer/Explanation
Ans: 34.4
(b) The area of a lake on the map is 12 cm2.
Calculate the actual area of the lake in km2.
Answer/Explanation
Ans: 300
Question
The scale of a map is 1 : 10 000000.
On the map, the area of Slovakia is 4.9cm2.
Calculate the actual area of Slovakia.
Give your answer in square kilometers.
km2 [3]
Answer/Explanation
Ans:
14 49 000
Question
(a) Convert 144km/h into metres per second.
(b) A train of length 120m is travelling at 144km/h.
It passes under a bridge of width 20m.
Find the time taken for the whole train to pass under the bridge.
Give your answer in seconds.
Answer/Explanation
Ans:
(a) 40
(b) 3.5
Question
The length, pcm, of a car is 440cm, correct to the nearest 10cm.
Complete the statement about p.
Answer/Explanation
Ans:
435, 445 cao
Question
A metal pole is 500 cm long, correct to the nearest centimetre.
The pole is cut into rods each of length 5.8cm, correct to the nearest millimetre.
Calculate the largest number of rods that the pole can be cut into.
Answer/Explanation
Ans:
87 cao nfww
Question
A model of a car has a scale 1 : 20.
The volume of the actual car is 12m3.
Find the volume of the model.
Give your answer in cubic centimeters.
cm3 [3]
Answer/Explanation
Ans:
19 1500
Question
The diagram shows an open rectangular box ABCDEFGH.
AB = 18.6 cm, BC = 9cm and CG = 14.5cm.
A straight stick AGM rests against A and G and extends outside the box to M.
(a) Calculate the angle between the stick and the base of the box.
(b) AM = 30 cm.
Show that GM = 4.8cm, correct to 1 decimal place.
Answer/Explanation
35.1 or 35.05 to 35.06
\(30-\sqrt{18.6^{2}+9^{2}+14.5^{2}}
30-\frac{14.5}{sin(their(a))}\)
or
\(30-\frac{18.6^{2}+9^{2}}{cos(their(a))}\)
Question
The scale on a map is 1: 20 000.
(a) Calculate the actual distance between two points which are 2.7 cm apart on the map.
Give your answer in kilometers.
(b) A field has an area of 64 400\(m^2\) .
Calculate the area of the field on the map in \((cm)^2\) .
Answer/Explanation
(a) 1cm on map= 20000 actual distance
2.7 cm on the map= 2.7 . 20000cm of actual distance
= 5.4 \(\times 10^4\)
= 0.54 km
(b) Given area= 64 400\(m^2\)
1.61