Shape and space · Ages 9–10

The rhombus worksheet

Part of: Quadrilaterals, tiling and the eight directions

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Shape and space · Ages 9–10

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

6.Which shape is a rhombus?
- A
- B
- C
- D
Choose the right picture
Answer:
7.The picture shows rhombus ABCD. Which side is parallel to AB?
- A. AC
- B. DC
- C. AD
- D. BC
Choose the right answer
Answer:
8.A four-sided shape has sides of 3, 4, 3 and 3 cm in turn. It could be a rhombus.
True or false?
Answer:
9.A four-sided shape has sides of 7, 11, 7 and 7 cm in turn. It could be a rhombus.
True or false?
Answer:
10.Four straws each 24 cm long are joined end to end into a four-sided shape. What shape must it be?
- A. A rectangle
- B. A square
- C. A trapezium
- D. A rhombus
Choose the right answer
Answer:
11.Four straws each 17 cm long are joined end to end into a four-sided shape. What shape must it be?
- A. A square
- B. A rhombus
- C. A rectangle
- D. A trapezium
Choose the right answer
Answer:
12.Four straws each 11 cm long are joined end to end into a four-sided shape. What shape must it be?
- A. A rectangle
- B. A trapezium
- C. A square
- D. A rhombus
Choose the right answer
Answer:

13.May bends a 96 cm wire into a rhombus, using it all. How long is each side, in cm?
Working:
Answer:
14.A rhombus-shaped flower bed has sides of 9 m. How many metres of fence go all round it?
Working:
Answer:
15.A rhombus kite's frame has sides of 30 cm. How many cm of bamboo do the frames of 7 such kites need?
Working:
Answer:
16.A rhombus kite's frame has sides of 15 cm. How many cm of bamboo do the frames of 7 such kites need?
Working:
Answer:
17.A rhombus-shaped flower bed has sides of 8 m. How many metres of fence go all round it?
Working:
Answer:
18.Tsz-ching bends a 36 cm wire into a rhombus, using it all. How long is each side, in cm?
Working:
Answer:

Show the answers and working

The rhombus worksheet: Answers and working

1. 64 cm
All four sides of a rhombus are 16 cm. The perimeter is the four sides added up.
A rhombus has four equal sides: 16 × 4 = 64.
2. 68 cm
All four sides of a rhombus are 17 cm. The perimeter is the four sides added up.
A rhombus has four equal sides: 17 × 4 = 68.
3. 12 cm
All four sides of a rhombus are 3 cm. The perimeter is the four sides added up.
A rhombus has four equal sides: 3 × 4 = 12.
4. 15 cm
A rhombus's four sides are equal, so share the 60 cm perimeter equally among them.
The four sides are equal: 60 ÷ 4 = 15.
5. 12 cm
A rhombus's four sides are equal, so share the 48 cm perimeter equally among them.
The four sides are equal: 48 ÷ 4 = 12.

6. A
Look at each shape in turn: are all four sides the same length?
A rhombus has four equal sides and both pairs of opposite sides parallel.
7. B. DC
A side that meets AB can't be parallel to it. See which sides share a corner with AB.
A rhombus's opposite sides are parallel: the side opposite AB is DC.
8. False
Compare the four sides one by one: what must a rhombus's sides be like?
A rhombus's four sides are always equal, so all four must be 3 cm.
9. False
Compare the four sides one by one: what must a rhombus's sides be like?
A rhombus's four sides are always equal, so all four must be 7 cm.
10. D. A rhombus
All four straws are the same length. What does that tell you about the shape? Must its angles be right angles?
A four-sided shape with four equal sides is a rhombus (a square is one kind).
11. B. A rhombus
All four straws are the same length. What does that tell you about the shape? Must its angles be right angles?
A four-sided shape with four equal sides is a rhombus (a square is one kind).
12. D. A rhombus
All four straws are the same length. What does that tell you about the shape? Must its angles be right angles?
A four-sided shape with four equal sides is a rhombus (a square is one kind).

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

13. 24 cm
All the wire is used, so its length is the rhombus's perimeter, and the four sides are equal.
The wire is the perimeter and the four sides are equal: 96 ÷ 4 = 24.
14. 36 m
The fence goes all the way round, so it is the perimeter. All four sides are 9 m.
A rhombus's four sides are equal: 9 × 4 = 36.
15. 840 cm
First work out one kite's frame: four sides of 30 cm.
Then think how many cm 7 kites need.
30 × 4 cm a kite, so 7 kites need 30 × 4 × 7 = 840 cm.
16. 420 cm
First work out one kite's frame: four sides of 15 cm.
Then think how many cm 7 kites need.
15 × 4 cm a kite, so 7 kites need 15 × 4 × 7 = 420 cm.
17. 32 m
The fence goes all the way round, so it is the perimeter. All four sides are 8 m.
A rhombus's four sides are equal: 8 × 4 = 32.
18. 9 cm
All the wire is used, so its length is the rhombus's perimeter, and the four sides are equal.
The wire is the perimeter and the four sides are equal: 36 ÷ 4 = 9.

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