Shape and space · Ages 7–8

Horizontal and vertical lines, and rays worksheet

Part of: Solids, angles and quadrilaterals

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Shape and space · Ages 7–8

Numsprite
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Name:Date:Score:／40

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

1.How many rays are in the picture?
Answer:
2.How many of them in the picture are horizontal (lines, rays and segments all count)?
Answer:
3.The picture has lines, rays and line segments.
Fill in each blank
Answer:

9.A window frame is divided by wooden bars into 3 rows of 5 small panes. Counting the outer frame, how many horizontal bars are there?
Working:
Answer:
10.A bookcase has 3 horizontal shelves, 1 vertical side board on each side, and 2 more vertical dividers in between. How many vertical boards are there altogether?
Working:
Answer:
11.Tsz-hin stands on a hilltop at night and shines a torch at the sky. The beam starts at the torch and goes on into the distance. What is the beam most like?
- A. A curve
- B. A ray
- C. A line segment
- D. A line
Choose the right answer
Working:
Answer:
12.A straight road has 4 bus stops, and the stretch between two neighbouring stops is a line segment. How many such segments are there?
Working:
Answer:
13.A window frame is divided by wooden bars into 2 rows of 2 small panes. Counting the outer frame, how many horizontal bars are there?
Working:
Answer:
14.A bookcase has 5 horizontal shelves, 1 vertical side board on each side, and 2 more vertical dividers in between. How many vertical boards are there altogether?
Working:
Answer:

Show the answers and working

Horizontal and vertical lines, and rays worksheet: Answers and working

1. 2
A ray has one end point and an arrow at the other end. Check both ends of each one.
A ray has one end point and an arrow at the other end: count them, 2 in all.
2. 3
A horizontal line runs left to right, level like the ground. Check the direction of each one.
Horizontal ones go left to right, level like the ground: 3 of them.
3. 1, 3, 2
Count the end points on each one: none makes a line, one a ray, two a segment.
Count end points: 0 is a line (1), 1 a ray (3), 2 a segment (2).

4. C. A line
Count the end points (dots): lines, rays and segments each have a different number.
Count the end points (dots): 0 is a line, 1 a ray, 2 a segment.
5. D. Neither
Look at which way it goes: level left to right, straight up and down, or slanting?
Level left to right is horizontal, straight up and down is vertical, and slanting is neither.
6. True
Only the dots are end points, not the arrows. Count the dots and compare with 2.
An end point is where it stops, drawn as a dot; an arrow means it goes on, and is not an end point.
7. True
Only the dots are end points, not the arrows. Count the dots and compare with 1.
An end point is where it stops, drawn as a dot; an arrow means it goes on, and is not an end point.
8. False
Only the dots are end points, not the arrows. Count the dots and compare with 0.
An end point is where it stops, drawn as a dot; an arrow means it goes on, and is not an end point.

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

9. 4 bars
Draw it: how many bars run across between 3 rows? Don't forget the frame along the top and bottom.
Horizontal bars run between the 3 rows and along the top and bottom: 3 + 1 = 4. The vertical bars number 5 + 1 = 6.
10. 4 boards
Vertical boards go up and down. Leave out the flat shelves and count only the upright boards at the sides and in between.
Vertical boards go up and down: 2 at the sides and 2 in between, 4 in all; the 3 shelves are horizontal and don't count.
11. B. A ray
Does the beam have a starting point? Does it ever stop at the other end? Think which kind of line is like that.
The beam has one starting point, the torch, and goes on one way: one end point and endless one way is a ray.
12. 3 segments
Each segment joins two neighbouring stops. Try 2 stops, then 3, and see the pattern.
Each segment's two end points are neighbouring stops: 4 stops have 3 stretches between them.
13. 3 bars
Draw it: how many bars run across between 2 rows? Don't forget the frame along the top and bottom.
Horizontal bars run between the 2 rows and along the top and bottom: 2 + 1 = 3. The vertical bars number 2 + 1 = 3.
14. 4 boards
Vertical boards go up and down. Leave out the flat shelves and count only the upright boards at the sides and in between.
Vertical boards go up and down: 2 at the sides and 2 in between, 4 in all; the 5 shelves are horizontal and don't count.

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