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The document contains 6 word problems involving the Pythagorean theorem and geometry. The problems ask students to calculate lengths of sides of triangles and rectangles, find diagonal lengths, and determine if an object will fit inside a container using measurements of diameter, height, and length. Students are asked to show their work and round answers to 1 decimal place.

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132 views2 pages

Clip 150 A

The document contains 6 word problems involving the Pythagorean theorem and geometry. The problems ask students to calculate lengths of sides of triangles and rectangles, find diagonal lengths, and determine if an object will fit inside a container using measurements of diameter, height, and length. Students are asked to show their work and round answers to 1 decimal place.

Uploaded by

satisfyingsounds47
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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©MathsWatch Clip 150

Grade 4 questions Pythagoras’ Theorem

a
1) Find the length of side a. 12 cm
Give your answer to 1 decimal place.

14 cm

b
2) Find the length of side b. 5 cm
Give your answer to 1 decimal place.

8 cm

3) Find the length of side c.


Give your answer to 1 decimal place. 10 cm 13 cm

4) Find the length of side d. 8 cm


Give your answer to 1 decimal place. d

5 cm

5) Find the length of the diagonal of this rectangle.


Give your answer to 1 decimal place. 9 cm

16 cm
Page 150 A
©MathsWatch Clip 150
Grade 4 questions Pythagoras’ Theorem

1) Find the length of side AC. 4) Below is a picture of a doorway.


Give your answer to 1 decimal place. Find the size of the diagonal of the doorway.
Give your answer to 1 decimal place.
A

2.1m
12cm

0.8m

B 7cm C 5) In the sketch of the rectangular field, below,


James wants to walk from B to D.
A B
2) Find the length of side QR
Give your answer to 1 decimal place.
Q 4.8cm
P 60m

7.6cm C
D 50m
Which of the following routes is shorter and
by how much?
From B to C to D or straight across the field
R from B to D.
Give your answer to the nearest metre.

3) Find the length of side SU 6) Fiona keeps her pencils in a cylindrical


Give your answer to 1 decimal place. beaker as shown below.
The beaker has a diameter of 8cm and
a height of 17cm.
23cm Will a pencil of length 19cm fit in the beaker
T S without poking out of the top?
All workings must be shown.
14cm

Page 150 B

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