Triangle is similar to triangle .
Find .
......................................... cm
Did this page help you?
Syllabus Edition
First teaching 2021
Last exams 2024
Triangle is similar to triangle .
Find .
......................................... cm
Did this page help you?
In the diagram, AB = AC and BN = NC.
Complete the statement using a mathematical term.
Triangle ABN is ...................................... to triangle ACN
Did this page help you?
In the diagram, is parallel to .
and are straight lines.
= 8 cm, = 10 cm and = 9cm.
Calculate .
= .......................................... cm
Did this page help you?
Quadrilaterals ABCD and LMNP are mathematically similar.
Angle A = angle L
Angle B = angle M
Angle C = angle N
Angle D = angle P
Work out the length of LP.
Work out the length of BC.
Did this page help you?
and are two right-angled triangles.
Work out the length of .
Did this page help you?
and are straight lines.
and are parallel.
Calculate the length of .
Did this page help you?
ABC and EDC are straight lines.
EA is parallel to DB.
EC = 8.1 cm.
DC = 5.4 cm.
DB = 2.6 cm,
Work out the length of AE.
AC = 6.15 cm.
Work out the length of AB.
Did this page help you?
A paperweight has height 4 cm and volume 38.4 cm3.
A mathematically similar paperweight has height 7 cm.
Calculate the volume of this paperweight.
.......................................... cm3
Did this page help you?
Two mathematically similar containers have heights of 30 cm and 75 cm.
The larger container has a capacity of 5.5 litres.
Calculate the capacity of the smaller container.
Give your answer in millilitres.
............................................... ml
Did this page help you?
A model of a car has a scale 1:20.
The volume of the actual car is 12 m3.
Find the volume of the model.
Give your answer in cubic centimetres.
......................................cm3
Did this page help you?
The diagram shows two mathematically similar triangles, T and U.
Two corresponding side lengths are 3 cm and 12 cm.
The area of triangle T is 5 cm2.
Find the area of triangle U.
......................................... cm2
Did this page help you?
The diagram shows two glasses which are mathematically similar.
The larger glass has a capacity of 0.5 litres and the smaller glass has a capacity of 0.25 litres.
The height of the larger glass is 13 cm.
Calculate the height of the smaller glass.
........................................... cm
Did this page help you?
A, B, C and D are points on the circumference of the circle.
AC and BD intersect at X.
Complete the statement.
Triangle ADX is ..................................................... to triangle BCX.
The area of triangle ADX is 36 cm2 and the area of triangle BCX is 65.61 cm2.
AX = 8.6 cm and DX = 7.2 cm.
Find BX.
BX = .................................. cm
Did this page help you?
A model of a statue has a height of 4cm.
The volume of the model is 12 cm3.
The volume of the statue is 40 500 cm3.
Calculate the height of the statue.
............................................ cm
Did this page help you?
lies on a circle with diameter .
lies on and lies on such that is parallel to .
= 21 cm, = 18 cm and = 13.5 cm.
Work out the radius of the circle.
............................................ cm
Did this page help you?
The diagram shows two shapes that are mathematically similar.
The smaller shape has area 52.5 cm2 and the larger shape has area 134.4 cm2.
Calculate the value of .
................................................
Did this page help you?
The area of pentagon A is .
The area of pentagon B is .
Find the ratio perimeter of pentagon A : perimeter of pentagon B in its simplest form.
......................... : .........................
Did this page help you?
The two triangles in the diagram are similar.
There are two possible values of .
Work out each of these values.
State any assumptions you make in your working.
Did this page help you?