Shape and space · Ages 7–8

Squares and rectangles worksheet

Part of: Solids, angles and quadrilaterals

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Shape and space · Ages 7–8

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.In rectangle ABCD, AB is 5 cm and BC is 7 cm. How long is CD?
Answer:
2.In rectangle ABCD, AB is 11 cm and BC is 3 cm. How long is CD?
Answer:
3.In rectangle ABCD, AB is 12 cm and BC is 2 cm. How long is CD?
Answer:
4.A rectangle's neighbouring sides are 12 cm and 6 cm. How long are its four sides added together?
Answer:
5.A rectangle's neighbouring sides are 16 cm and 13 cm. How long are its four sides added together?
Answer:
6.A rectangle's neighbouring sides are 7 cm and 2 cm. How long are its four sides added together?
Answer:

7.Which of these is a rectangle?
- A
- B
- C
- D
Choose the right picture
Answer:
8.A four-sided shape has four right angles, and two neighbouring sides of 7 cm and 7 cm. It is a square.
True or false?
Answer:
9.The blue dots on the squared paper are three corners of a rectangle. Which point is the fourth corner?
- A. C
- B. B
- C. D
- D. A
Choose the right answer
Answer:
10.A four-sided shape has four right angles, and two neighbouring sides of 4 cm and 5 cm. It is a square.
True or false?
Answer:
11.A four-sided shape has four right angles, and two neighbouring sides of 10 cm and 10 cm. It is a square.
True or false?
Answer:
12.A four-sided shape has four right angles, and two neighbouring sides of 8 cm and 11 cm. It is a square.
True or false?
Answer:

13.Ka-lok makes a square of matches, 3 matches to a side. How many matches does it take?
Working:
Answer:
14.A rectangular table is 110 cm long and 60 cm wide. Ka-yee runs tape all the way round its edge. How many centimetres of tape is that?
Working:
Answer:
15.Tsz-ching bends wire into a square with 14 cm sides. How many centimetres of wire does it take?
Working:
Answer:
16.Ming bends wire into a square with 18 cm sides. How many centimetres of wire does it take?
Working:
Answer:
17.Chi-keung makes a square of matches, 6 matches to a side. How many matches does it take?
Working:
Answer:
18.A rectangular table is 110 cm long and 70 cm wide. Ka-yan runs tape all the way round its edge. How many centimetres of tape is that?
Working:
Answer:

Show the answers and working

Squares and rectangles worksheet: Answers and working

1. 5 cm
Which side is CD opposite? A rectangle's opposite sides are equal.
CD is opposite AB, and a rectangle's opposite sides are equal: 5 cm.
2. 11 cm
Which side is CD opposite? A rectangle's opposite sides are equal.
CD is opposite AB, and a rectangle's opposite sides are equal: 11 cm.
3. 12 cm
Which side is CD opposite? A rectangle's opposite sides are equal.
CD is opposite AB, and a rectangle's opposite sides are equal: 12 cm.
4. 36 cm
A rectangle's opposite sides are equal, so there are two sides of 12 cm and two of 6 cm.
Opposite sides are equal: 12 + 6 + 12 + 6 = 36.
5. 58 cm
A rectangle's opposite sides are equal, so there are two sides of 16 cm and two of 13 cm.
Opposite sides are equal: 16 + 13 + 16 + 13 = 58.
6. 18 cm
A rectangle's opposite sides are equal, so there are two sides of 7 cm and two of 2 cm.
Opposite sides are equal: 7 + 2 + 7 + 2 = 18.

7. D
A rectangle has 4 right angles and equal opposite sides. Check the angles of each shape.
A rectangle has 4 right angles and equal opposite sides.
8. True
With four right angles it is a rectangle. What else must be true for a square? Compare 7 and 7.
Four right angles make a rectangle; it is a square only if its sides are all equal too.
9. C. D
A rectangle's opposite sides match and its corners are right angles. Count squares to see where the fourth corner must go.
The fourth corner lines up with two of the blue dots: count squares so opposite sides match.
10. False
With four right angles it is a rectangle. What else must be true for a square? Compare 4 and 5.
Four right angles make a rectangle; it is a square only if its sides are all equal too.
11. True
With four right angles it is a rectangle. What else must be true for a square? Compare 10 and 10.
Four right angles make a rectangle; it is a square only if its sides are all equal too.
12. False
With four right angles it is a rectangle. What else must be true for a square? Compare 8 and 11.
Four right angles make a rectangle; it is a square only if its sides are all equal too.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 12 matches
A square has 4 equal sides, each using 3 matches.
A square has 4 equal sides: 4 lots of 3 is 12.
14. 340 cm
Going all the way round means adding all four sides: two of 110 cm and two of 60 cm.
Opposite sides are equal: 110 + 60 + 110 + 60 = 340.
15. 56 cm
A square's four sides are all equal: 14 cm each.
A square's four sides are equal: 14 + 14 + 14 + 14 = 56.
16. 72 cm
A square's four sides are all equal: 18 cm each.
A square's four sides are equal: 18 + 18 + 18 + 18 = 72.
17. 24 matches
A square has 4 equal sides, each using 6 matches.
A square has 4 equal sides: 4 lots of 6 is 24.
18. 360 cm
Going all the way round means adding all four sides: two of 110 cm and two of 70 cm.
Opposite sides are equal: 110 + 70 + 110 + 70 = 360.

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