Edexcel IGCSE Maths
Topic questions Geometry and measures Measuring lengths & angles, bearings
26 questions · 105 marks · about 2 hours
The diagram shows a 6-sided polygon.
Measure the length of the side AB Give the units of your answer.
Measure the size of the angle marked x
Write down the mathematical name of a 6-sided polygon.
The diagram shows a number line.
Write down the number marked with the arrow.
On the number line below, mark with an arrow (
) the number 265
Also involves Angle facts
The diagram shows the positions of two villages, A and B
The bearing of B from A is 073
Work out the bearing of A from B
The diagram shows a regular octagon.
Write down the number of lines of symmetry of a regular octagon.
Here is a shape.
On the shape, mark with a letter R a right angle.
On the shape, mark with a letter O an obtuse angle.
Find, by measuring, the size of the angle marked x
Also involves Sine and cosine rules
The diagram shows the positions of three villages, A, B and C
The bearing of B from A is 054° The bearing of C from B is 132°
Melur walks from A to B She then walks from B to C and from C to A
Melur walks at an average speed of 6 km/h
Work out the total time Melur takes. Give your answer in hours and minutes.
The scale drawing shows the positions of two airports P and Q
Find, by measuring, the bearing of P from Q
A small plane flies directly from P to Q The plane takes 2 hours to fly from P to Q
Work out the average speed of the plane. Give your answer in km / h
The accurate scale drawing shows the positions of two lighthouses, S and T
Find, by measuring, the bearing of lighthouse T from lighthouse S
A boat is on a bearing of 084
from S The boat is 13 km from T
On the diagram, mark with a cross (X) the position of the boat. Label the cross B
Here is a number scale.
Here is a different number scale.
Write down the number shown marked by the arrow.
In the space below, draw a line of length 6.5 cm
The diagram shows the straight lines QP and QR
Measure the size of angle PQR
Here is a polygon.
Write down the mathematical name of this polygon.
Here is a scale.
On the scale, mark with an arrow (↑) the number 360
Here is a clock face.
Write down the time shown on the clock face.
Complete the following sentence by writing a suitable metric unit on the dotted line.
Write down the number marked with the arrow on the scale above.
Mark with an arrow (
) the number 0.04 on the scale below.
Write the number 5.68 correct to one decimal place.
Also involves Parallel and perpendicular lines
The diagram shows a 5‑sided polygon.
Measure the length of the side AB Give the units of your answer.
Measure the size of the angle marked x
On the diagram, mark with arrows (
) a pair of parallel sides.
Write down the mathematical name of a 5‑sided polygon.
The accurate scale drawing shows the position of a college C and a train station S
Find the bearing of S from C
For Charles, 1 step = 0.44 m
Work out the number of steps Charles walks as he goes in a straight line from the college to the train station. Give your answer correct to the nearest whole number of steps.
Also involves Converting between units · Ratio
The scale diagram shows the position on a map of a house, A
House C is on a bearing of 110° from A The distance from A to C is 700 m
Mark the position of C on the diagram with a cross (
) Label your cross C
Write the scale of the map in the form 1:n
The accurate scale diagram shows the map of an island drawn on a centimetre grid.
The position of Aaron’s house is A. The position of Bharat’s house is B.
Write down the coordinates of A.
By measurement, find the bearing of A from B.
Measure the length of the line AB. Give your answer in centimetres correct to one decimal place.
Aaron cycled along a straight path from his house to Bharat’s house. The scale of the map is 1 cm represents 5 km.
Work out the distance, in kilometres, that Aaron cycled.
Aaron left his house at 10 45 am and arrived at Bharat’s house at 1 05 pm.
How long did Aaron’s cycle ride take him? Give your answer in hours and minutes.
Also involves The four operations
Amir is going on holiday.
He weighs his suitcase on the weighing scales at the airport. The reading on the scale gives the weight of Amir’s suitcase.
An excess luggage charge has to be paid when the weight of a suitcase is greater than 25 kg. This charge is 7.45 euros for each kilogram over the 25 kg limit.
Work out the excess luggage charge that Amir has to pay.
Here is a quadrilateral.
What is the mathematical name of this quadrilateral?
Measure the size of the angle marked x.
On the quadrilateral, mark with arrows (
) a pair of parallel lines.
The quadrilateral has four angles.
How many of these angles are right angles?
Also involves Angle facts
The diagram shows the positions of three ships, A, B and C.
Ship B is due north of ship A.
The bearing of ship C from ship A is 120
Calculate the bearing of ship C from ship B. Give your answer correct to the nearest degree.
Also involves Angle facts
The diagram shows the positions of three villages, R, T and W.
Work out the bearing of village W from village R.
Work out the bearing of village R from village T.
Here is a polygon with five sides.
Write down the mathematical name of a polygon with five sides.
Measure the size of the angle marked x.
Two sides of the polygon are parallel.
On the polygon, mark with arrows (>>) this pair of parallel lines.
Here are two triangles.
Triangle A
Triangle B
Are triangle A and triangle B similar triangles? You must give a reason for your answer.
Also involves Converting between units
Complete the following sentences by writing a sensible metric unit on each of the dotted lines.
The distance from Cairo to Nairobi is 5211........
The weight of an egg is 20........
The area of the floor of a classroom is 260........
Cara has a bottle of juice. There is 1 litre of juice in the bottle.
Cara makes some drinks. She uses exactly 30 millilitres of this juice to make each drink.
Cara makes as many drinks as possible.
How many drinks does Cara make?
The accurate scale drawing shows the positions of two mobile phone masts, A and B.
The scale is 1 cm to 2.5 km.
Find the bearing of A from B.
Work out the actual distance, in km, between A and B.
A third mobile phone mast, C, is put up. C will be on a bearing of 115° from A. C will be 20 km from B.
Find the position of C.
Also involves Rounding
The scale drawing shows the positions of a ship, S, and a port, P.
Find the bearing of S from P.
The ship S now sails directly towards port P. The ship sails at an average speed of 24 km/h.
Work out how long it takes the ship to get to P. Give your answer correct to the nearest hour.
Also involves Pythagoras' theorem
A boat sails from point X to point Y and then to point Z.
Y is on a bearing of 280° from X. Z is on a bearing of 220° from Y.
The distance from X to Y is 3.5 km. The distance from Y to Z is 6 km.
Work out the bearing of Z from X. Give your answer correct to 1 decimal place.
The accurate scale drawing shows the positions of two ships, L and M.
Find the bearing of ship M from ship L.
The scale of the drawing is 1 cm to 5 km.
Ship P is 40 km from L and on a bearing of 240° from M.
On the diagram, mark with a cross (×) the position of ship P.
Joseph buys some heating oil. He puts it in his oil tank.
The scales show the numbers of litres of oil in the tank immediately before and immediately after Joseph puts the oil in the tank.
The oil Joseph buys costs 0.40 euros per litre.
Work out the total cost of the oil that Joseph buys.
Memes
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
Mum 💖
did you do your maths homework sweetie?? 🥰
yes I solved for x
proud of you!!!
📱 Screen time this week · TikTok6h 7m
Maths starter pack