Shape and space · Ages 7–8

Line segments and quadrilaterals 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.There are 5 points on the line. How many segments have two of them as endpoints?
Answer:
2.There are 4 points on the line. How many segments have two of them as endpoints?
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3.There are 3 points on the line. How many segments have two of them as endpoints?
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4.3 points lie on a line, each 9 cm from the next. How long is the longest segment?
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5.4 points lie on a line, each 7 cm from the next. How long is the longest segment?
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6.3 points lie on a line, each 6 cm from the next. How long is the longest segment?
Answer:

13.Tsz-ching ties 4 knots along a stretched string. How many segments have two of the knots as endpoints?
Working:
Answer:
14.Tsz-ching goes from home (A) to the park (B), and there are three routes (see the picture). Which is the shortest?
- A. All the same
- B. Route 1
- C. Route 3
- D. Route 2
Choose the right answer
Working:
Answer:
15.Ka-yan makes quadrilaterals from straws, 4 straws each. With 40 straws, at most how many can Ka-yan make?
Working:
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16.Ka-yee ties 4 knots along a stretched string. How many segments have two of the knots as endpoints?
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17.Chi-keung makes quadrilaterals from straws, 4 straws each. With 14 straws, at most how many can Chi-keung make?
Working:
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18.Ka-lok goes from home (A) to the park (B), and there are three routes (see the picture). Which is the shortest?
- A. All the same
- B. Route 1
- C. Route 3
- D. Route 2
Choose the right answer
Working:
Answer:

Show the answers and working

Line segments and quadrilaterals worksheet: Answers and working

1. 10 segments
Start at the leftmost point and count how many points to its right it can join; do the same for each point and add.
Count to the right from each point and add: 10 in all.
2. 6 segments
Start at the leftmost point and count how many points to its right it can join; do the same for each point and add.
Count to the right from each point and add: 6 in all.
3. 3 segments
Start at the leftmost point and count how many points to its right it can join; do the same for each point and add.
Count to the right from each point and add: 3 in all.
4. 18 cm
The longest segment runs from the first point to the last. How many gaps are there between 3 points?
The longest runs from the first point to the last, across 2 gaps: 18 cm.
5. 21 cm
The longest segment runs from the first point to the last. How many gaps are there between 4 points?
The longest runs from the first point to the last, across 3 gaps: 21 cm.
6. 12 cm
The longest segment runs from the first point to the last. How many gaps are there between 3 points?
The longest runs from the first point to the last, across 2 gaps: 12 cm.

7. B
Count the straight sides of each shape. A quadrilateral has exactly 4.
A quadrilateral has 4 straight sides and 4 angles.
8. True
How many sides does one quadrilateral have? Multiply by 5, then compare with 20.
Each has 4 sides, so 5 have 20.
9. C. Route 2
Between two points, what kind of path is shortest? Look for the route that doesn't bend.
Between two points, the straight segment is shortest.
10. False
How many sides does one quadrilateral have? Multiply by 5, then compare with 15.
Each has 4 sides, so 5 have 20.
11. False
How many sides does one quadrilateral have? Multiply by 4, then compare with 20.
Each has 4 sides, so 4 have 16.
12. B. CD
The opposite side shares no end point with AB. Go round A, B, C, D and find the side that touches neither A nor B.
Going round A, B, C, D, the side sharing no endpoint with AB is CD.

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

13. 6 segments
Start at the first knot and count how many knots after it it can join; do the same for each knot and add.
Count onward from each knot in turn and add: 6.
14. B. Route 1
Between two points, what kind of path is shortest? Look for the route that doesn't bend.
Between two points the segment is shortest: take the straight route.
15. 10 quadrilaterals
Each quadrilateral needs 4 straws. How many fours are in 40? Any left that don't make 4 can't be used.
A quadrilateral has 4 sides: 40 in fours makes at most 10.
16. 6 segments
Start at the first knot and count how many knots after it it can join; do the same for each knot and add.
Count onward from each knot in turn and add: 6.
17. 3 quadrilaterals
Each quadrilateral needs 4 straws. How many fours are in 14? Any left that don't make 4 can't be used.
A quadrilateral has 4 sides: 14 in fours makes at most 3.
18. C. Route 3
Between two points, what kind of path is shortest? Look for the route that doesn't bend.
Between two points the segment is shortest: take the straight route.

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