Grades 6, 7 and 8 | Math | Middle School

Back to Math: Middle School: Grades 6, 7 and 8

Math: Middle School: Grades 6, 7 and 8 Quiz - Shapes - Pythagoras 2 (Questions)

This Math quiz is called 'Shapes - Pythagoras 2' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us

Pythagoras Theorem is about a property of all triangles with a right-angle. If a triangle has one angle which is a right-angle (i.e. 90^o) then there is a special relationship between the lengths of its three sides. Test your skills by playing this quiz. (The diagrams are not drawn to scale)

What is the length of the hypotenuse (A) in the triangle below?

[ ]	16 cm
[ ]	20 cm
[ ]	24 cm
[ ]	28 cm

What is the length of the hypotenuse (A) in the triangle below?

[ ]	17.9 cm
[ ]	24.1 cm
[ ]	30.4 cm
[ ]	36.8 cm

What is the length of the hypotenuse (A) in the triangle below?

[ ]	30.3 cm
[ ]	32.1 cm
[ ]	33.9 cm
[ ]	36.7 cm

What is the length of the hypotenuse (A) in the triangle below?

[ ]	6.54 cm
[ ]	8.49 cm
[ ]	10.22 cm
[ ]	12.44 cm

What is the length of the hypotenuse (A) in the triangle below?

[ ]	6.54 cm
[ ]	8.49 cm
[ ]	10.22 cm
[ ]	12.44 cm

What is the length of the hypotenuse (A) in the triangle below?

[ ]	11.5 cm
[ ]	13.4 cm
[ ]	15.3 cm
[ ]	17.8cm

What is the length of the side (A) in the triangle below?

[ ]	4.7 cm
[ ]	5.7 cm
[ ]	6.7 cm
[ ]	7.7 cm

What is the length of the side (A) in the triangle below?

[ ]	9.8 cm
[ ]	10.9 cm
[ ]	12.6 cm
[ ]	13.4 cm

The diagram below shows a ladder leaning against a vertical house wall. How far up the wall does the ladder reach?

[ ]	4.4 m
[ ]	4.8 m
[ ]	5.2 m
[ ]	5.6 m

10.

What is the diagonal of the rectangular swimming pool in the picture below?

[ ]	10.98 m
[ ]	11.05 m
[ ]	11.18 m
[ ]	11.76 m

Math: Middle School: Grades 6, 7 and 8 Quiz - Shapes - Pythagoras 2 (Answers)

What is the length of the hypotenuse (A) in the triangle below?

[ ]	16 cm
[x]	20 cm
[ ]	24 cm
[ ]	28 cm

What is the length of the hypotenuse (A) in the triangle below?

[x]	17.9 cm
[ ]	24.1 cm
[ ]	30.4 cm
[ ]	36.8 cm

The answer is given here to 3 significant figures

What is the length of the hypotenuse (A) in the triangle below?

[ ]	30.3 cm
[ ]	32.1 cm
[x]	33.9 cm
[ ]	36.7 cm

What is the length of the hypotenuse (A) in the triangle below?

[ ]	6.54 cm
[x]	8.49 cm
[ ]	10.22 cm
[ ]	12.44 cm

What is the length of the hypotenuse (A) in the triangle below?

[ ]	6.54 cm
[x]	8.49 cm
[ ]	10.22 cm
[ ]	12.44 cm

Well done if you spotted it is the same triangle as in question 4 but presented at a different rotation!

What is the length of the hypotenuse (A) in the triangle below?

[ ]	11.5 cm
[x]	13.4 cm
[ ]	15.3 cm
[ ]	17.8cm

What is the length of the side (A) in the triangle below?

[ ]	4.7 cm
[ ]	5.7 cm
[x]	6.7 cm
[ ]	7.7 cm

What is the length of the side (A) in the triangle below?

[ ]	9.8 cm
[ ]	10.9 cm
[x]	12.6 cm
[ ]	13.4 cm

The diagram below shows a ladder leaning against a vertical house wall. How far up the wall does the ladder reach?

[ ]	4.4 m
[ ]	4.8 m
[ ]	5.2 m
[x]	5.6 m

10.

What is the diagonal of the rectangular swimming pool in the picture below?

[ ]	10.98 m
[ ]	11.05 m
[x]	11.18 m
[ ]	11.76 m

Think of the diagonal as the hypotenuse of a right angled triangle