Shape and space · Ages 9–10
How quadrilaterals are related worksheet
Part of: Quadrilaterals, tiling and the eight directions
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How quadrilaterals are related worksheet
Shape and space · Ages 9–10
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.How many of the shapes in the picture are parallelograms?
Answer:
Part B: Choose, or true or false (2 marks each)
2.A square with sides of 3 cm can also be called which of these?
- A. A rhombus
- B. A triangle
- C. A pentagon
- D. A trapezium
Choose the right answer
Answer:
3.A rectangle is 14 cm long and 14 cm wide. It is a rhombus too.
True or false?
Answer:
4.A rectangle is 12 cm long and 12 cm wide. It is a rhombus too.
True or false?
Answer:
5.A square with sides of 20 cm can also be called which of these?
- A. A rhombus
- B. A triangle
- C. A trapezium
- D. A pentagon
Choose the right answer
Answer:
6.A rectangle is 11 cm long and 15 cm wide. It is a rhombus too.
True or false?
Answer:
7.A square with sides of 8 cm can also be called which of these?
- A. A rhombus
- B. A triangle
- C. A trapezium
- D. A pentagon
Choose the right answer
Answer:
8.A square with sides of 4 cm can also be called which of these?
- A. A triangle
- B. A pentagon
- C. A rhombus
- D. A trapezium
Choose the right answer
Answer:
9.A square with sides of 19 cm can also be called which of these?
- A. A triangle
- B. A pentagon
- C. A trapezium
- D. A rhombus
Choose the right answer
Answer:
10.Which shape is NOT a parallelogram?
- A
- B
- C
- D
Choose the right picture
Answer:
11.Which shape is both a rhombus and a rectangle?
- A
- B
- C
- D
Choose the right picture
Answer:
12.Which sentence is true?
- A. Every rhombus is a square
- B. Every square is a rectangle
- C. Every rectangle is a square
- D. Every parallelogram is a rectangle
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.A box of shape cards holds 6 squares, 9 rectangles (not squares), 4 rhombuses (not squares) and 9 trapeziums. How many are rectangles?
Working:
Answer:
14.Chi-keung makes 9 rectangles (not squares) and 5 squares with sticks. How many of them are rhombuses?
Working:
Answer:
15.A box of shape cards holds 8 squares, 8 rectangles (not squares), 2 rhombuses (not squares) and 8 trapeziums. How many are parallelograms?
Working:
Answer:
16.A box of shape cards holds 8 squares, 2 rectangles (not squares), 5 rhombuses (not squares) and 3 trapeziums. How many are rectangles?
Working:
Answer:
17.Ming makes 7 rectangles (not squares) and 1 squares with sticks. How many of them are rhombuses?
Working:
Answer:
18.A box of shape cards holds 8 squares, 9 rectangles (not squares), 2 rhombuses (not squares) and 8 trapeziums. How many are parallelograms?
Working:
Answer:
Show the answers and working
How quadrilaterals are related worksheet: Answers and working
Part A: Working out and filling in
1. 3
Check each shape: are both pairs of opposite sides parallel? Remember squares and rectangles count too.
Only shapes with both pairs of opposite sides parallel count: squares, rectangles and rhombuses do, trapeziums don't. 3 in all.
Part B: Choose, or true or false
2. A. A rhombus
A square's four sides are all 3 cm. Check each option: does a square fit what that shape needs?
A square's four sides are equal, so it is a rhombus too.
3. True
A rhombus needs four equal sides. Compare the length, 14 cm, with the width, 14 cm.
Only a rectangle with four equal sides (a square) is also a rhombus.
4. True
A rhombus needs four equal sides. Compare the length, 12 cm, with the width, 12 cm.
Only a rectangle with four equal sides (a square) is also a rhombus.
5. A. A rhombus
A square's four sides are all 20 cm. Check each option: does a square fit what that shape needs?
A square's four sides are equal, so it is a rhombus too.
6. False
A rhombus needs four equal sides. Compare the length, 11 cm, with the width, 15 cm.
Only a rectangle with four equal sides (a square) is also a rhombus.
7. A. A rhombus
A square's four sides are all 8 cm. Check each option: does a square fit what that shape needs?
A square's four sides are equal, so it is a rhombus too.
8. C. A rhombus
A square's four sides are all 4 cm. Check each option: does a square fit what that shape needs?
A square's four sides are equal, so it is a rhombus too.
9. D. A rhombus
A square's four sides are all 19 cm. Check each option: does a square fit what that shape needs?
A square's four sides are equal, so it is a rhombus too.
10. A
Check each shape: are both pairs of opposite sides parallel?
A trapezium has only one pair of parallel sides, so it isn't a parallelogram.
11. A
It must meet both conditions: four right angles and four equal sides.
A square has four right angles (a rectangle) and four equal sides (a rhombus).
12. B. Every square is a rectangle
For each sentence, try to find a shape that breaks it. If you can, the sentence isn't true.
A square has four right angles and parallel opposite sides, so it is always a rectangle; not the other way round.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 15 cards
A rectangle needs four right angles. Which kinds have them? Don't forget the squares.
A square has four right angles, so it is a rectangle too: 6 + 9 = 15.
14. 5 shapes
Think: does a rectangle that isn't a square have four equal sides? Does a square?
A square has four equal sides, so it is a rhombus; the other rectangles aren't: 5.
15. 18 cards
Go through each kind: are both pairs of opposite sides parallel? Take care with the trapeziums.
Squares, rectangles and rhombuses are parallelograms; trapeziums aren't: 8 + 8 + 2 = 18.
16. 10 cards
A rectangle needs four right angles. Which kinds have them? Don't forget the squares.
A square has four right angles, so it is a rectangle too: 8 + 2 = 10.
17. 1 shape
Think: does a rectangle that isn't a square have four equal sides? Does a square?
A square has four equal sides, so it is a rhombus; the other rectangles aren't: 1.
18. 19 cards
Go through each kind: are both pairs of opposite sides parallel? Take care with the trapeziums.
Squares, rectangles and rhombuses are parallelograms; trapeziums aren't: 8 + 9 + 2 = 19.
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