is a triangle.
Work out the area of triangle .
Give your answer correct to 3 significant figures.
Work out the length of the side .
Give your answer correct to 3 significant figures.
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is a triangle.
Work out the area of triangle .
Give your answer correct to 3 significant figures.
Work out the length of the side .
Give your answer correct to 3 significant figures.
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Calculate the length of .
Give your answer correct to 3 significant figures.
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The diagram shows parallelogram .
Work out the area of the parallelogram.
Give your answer correct to 3 significant figures.
.......................
Work out the length of the diagonal of the parallelogram.
Give your answer correct to 3 significant figures.
.....................
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The diagram shows triangle .
Calculate the length of .
Give your answer correct to 3 significant figures.
.........................
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A triangle has sides of length 8 cm, 10 cm and 14 cm.
Work out the size of the largest angle of the triangle.
Give your answer correct to 1 decimal place.
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Here is a triangle.
Circle the correct equation.
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Here is a triangle.
Leah tries to use the sine rule to work out the size of angle .
Here are the first two lines of her working.
What error has she made in this working?
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Work out the size of angle .
...............................degrees
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A ship sails from to and then from to .
is 12 miles from , on a bearing of 080°
is 28 miles from , on a bearing of 155°
Work out the direct distance from to .
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and are triangles.
The area of is 80.5 cm2
Work out the area of .
Give your answer to 3 significant figures.
...............................cm2
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Liz and Tia are walking towards a shop along different straight paths.
The diagram shows their positions at 2 pm
Assume they walk at the same speed.
Who will arrive at the shop first?
You must show your working.
In fact, Liz walks at a faster speed than Tia.
How does this affect the answer to part (a)?
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Here is a triangle.
Work out the length
.................cm
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In the triangle, angle is obtuse.
Work out the size of angle .
...................degrees
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The diagram shows a triangular field PQR which is used to grow organic carrots.
PQ = 100 m, PR = 80 m and angle RPQ = 30°.
In recent years, an average of 2.5 kg of carrots has been harvested from each square metre of the field.
Use this information to work out the total mass of carrots that might have been harvested from the field in 2019.
......................................................kg
Why might the answer to partbe unreliable?
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ABC and ACD are triangles.
Show that AC = 13.0 cm, correct to 3 significant figures.
Calculate BC.
..................... cm
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Calculate length DF in this triangle.
..................................................... cm
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Calculate angle ACB in this triangle.
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T is a radar tower.
A and B are two aircraft.
At 3pm
Calculate the distance that was between aircraft A and aircraft B at 3pm.
....................................................... km
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Work out the length of .
Give your answer correct to 3 significant figures.
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is a triangle.
Calculate the area of triangle .
Give your answer correct to significant figures.
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The diagram shows triangle .
Calculate the length of .
Give your answer correct to 3 significant figures.
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is a triangle.
is a point on .
Angle = 45°
Angle = 80°
= 7.4cm
= 5.8 cm
Work out the length of .
Give your answer correct to 3 significant figures.
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is a triangle.
= 8.4m
Angle = 40°
The area of the triangle = 100 m2.
Work out the length of .
Give your answer correct to 3 significant figures.
You must show all your working.
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In triangle ,
= 8.7 cm
= 5.2 cm
Angle = 32°
Assuming that angle is an acute angle,
calculate the area of triangle .
Give your answer correct to 3 significant figures.
If you did not know that angle is an acute angle, what effect would this have on your calculation of the area of triangle ?
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The diagram shows the triangle .
Angle
The area of triangle
Show that
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is an isosceles triangle.
Work out the area of the triangle.
Give your answer correct to 3 significant figures.
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Here is a triangle
The length and the angles and are each given correct to 2 significant figures.
Calculate the upper bound for the length .
Give your answer correct to one decimal place.
Show your working clearly.
....................................................... cm
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Here is a quadrilateral .
Angle is acute.
Work out the size of angle .
Give your answer correct to decimal place.
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A shape is made by joining triangle to a semicircle with diameter .
Work out the total area of the shape.
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Here is a triangular sail.
Vicky needs to buy waterproofing liquid for the sail.
She will put 3 coats of liquid on each side of the sail.
A litre of liquid covers 8.5 square metres of sail.
How many 1-litre bottles of liquid does Vicky need?
Another sail is joined to the first sail as shown.
is an acute angle.
Work out the size of angle .
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The diagram shows triangle ABC with D on AC and E on AB.
DE is a straight line.
AD = 28 m, AE = 41 m, DE = 22 m and BC = 64 m.
Calculate the length CD.
....................................................... m
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The diagram shows some land in the shape of a quadrilateral, ABCD.
AB = 3km, AD = 5km, CD = 12km and angle BAC = 30°.
The land is sold for £10 million per square kilometre.
Calculate the total cost of the land.
£ .............................................. million
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The area of triangle is m2.
Calculate the value of .
Give your answer correct to significant figures.
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and are triangles.
The area of triangle is 56 m2
Work out the length of
Give your answer correct to 1 decimal place.
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is a parallelogram.
= 9 cm
= 11 cm
Angle = 100°
Calculate the area of the parallelogram.
Give your answer correct to 3 significant figures.
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is an acute-angled triangle.
= 7cm
= 8cm
The area of triangle is 18 cm2.
Work out the size of angle .
Give your answer correct to 3 significant figures.
You must show all your working.
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is an acute angled triangle.
The area of triangle is 19 cm2.
Work out the size of angle .
Give your answer correct to 3 significant figures.
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is a triangle.
is a point on .
Work out the area of triangle .
Give your answer correct to 3 significant figures.
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The diagram shows triangle
Given that angle is obtuse, work out the area of triangle .
Give your answer correct to 3 significant figures.
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The diagram shows triangle
correct to one decimal place
correct to the nearest whole number
correct to the nearest whole number
Calculate the upper bound for the value of
Show your working clearly.
Give your answer correct to 3 significant figures.
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is a quadrilateral where and are points on a circle.
Angle
Angle
Work out the perimeter of quadrilateral .
Give your answer correct to one decimal place.
....................................................... cm
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Here is a triangle .
The perimeter of the triangle is .
Given that
find the value of .
Show your working clearly.
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The diagram shows a regular octagon
Each side of the octagon has length
Find the area of the shaded region
Give your answer correct to the nearest
.............................................
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The diagram shows a logo.
and are congruent triangles.
is a sector of a circle, centre .
Show that the area of the logo is 510 cm2 to 2 significant figures.
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