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www.justmaths.co.uk ©JustMaths 2013
PYTHAGORAS’ THEOREM
Name: _______________________
Total Marks: ___________
Q. Max Actual RAG
1 3
2 4
3 3
4 4
5 3
6 3
7 3
8 3
9 3
10 4
11 4
12 3
www.justmaths.co.uk ©JustMaths 2013
Q1. ABC is a right-angled triangle. AC = 19 cm and AB = 9 cm.
Calculate the length of BC.
Q2. A rectangular field ABCD is shown.
The length of the field, AB = 160 m. The width of the field, AD = 75 m.
Calculate the length of the diagonal BD.
Give your answer to a suitable degree of accuracy.
(3 Marks)
(4 Marks)
www.justmaths.co.uk ©JustMaths 2013
Q3. The diagram shows a right-angled triangle ABC.
AB = 10 cm and AC = 15 cm. Calculate the length of BC.
Leave your answer as a square root.
Q4. The diagram shows a circle with centre O and radius 2.5 cm. TA is a
tangent to the circle, of length 6 cm.
The line from A to the centre O of the circle cuts the circumference at B.
Calculate the length of AB.
(3 Marks)
(4 Marks)
www.justmaths.co.uk ©JustMaths 2013
Q5. A support for a flagpole is attached at a height of 3m and is fixed to
the ground at a distance of 1.2 m from the base.
Calculate the length of the support (marked x on the diagram).
Q6. The sketch below shows the points P (-3, -2) and Q (5, 13).
Calculate the length of PQ.
(3 Marks)
(3 Marks)
X Q
X P
y
x
not drawn accurately
www.justmaths.co.uk ©JustMaths 2013
Q7. The diagram shows three cities. Norwich is 168 km due East of Leicester.
York is 157 km due North of Leicester. Calculate the distance between
Norwich and York.
Give your answer correct to the nearest kilometre.
Q8. A is the point with coordinates (2, 5) B is the point with coordinates (8,
13)
Calculate the length AB.
(3 Marks)
(3 Marks)
O
y
x
A(2, 5)
B(8, 13)
www.justmaths.co.uk ©JustMaths 2013
Q9. AB = 19.5 cm, AC = 19.5 cm and BC = 16.4 cm. Angle ADB = 90˚.
BDC is a straight line.
Calculate the length of AD.
Give your answer in centimetres, correct to 1 decimal place.
Q10 In triangle ABC, AC = 25 cm, BC = 7 cm and AB = 24 cm. Prove that
the triangle is right-angled. 24, 25 and 7
(3 Marks)
(4 Marks)
www.justmaths.co.uk ©JustMaths 2013
Q11. Find length AB. Give your answer correct to 3 significant figures.
Q12. The diagram represents a cuboid ABCDEFGH. AB = 5 cm. BC = 7
cm. AE = 3 cm.
Calculate the length of AG. Give your answer correct to 3 significant
figures.
(4 Marks)
(3 Marks)
