Shape and space · Ages 6–7

Mirror pictures worksheet

Part of: Solids, flat shapes and position

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Shape and space · Ages 6–7

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

1.Finish this picture so that it is symmetric about the dashed line. How many squares must be shaded on the other side?
Answer:
2.This picture is finished so that it is symmetric about the dashed line. How many squares are shaded in the whole picture then?
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3.This picture is finished so that it is symmetric about the dashed line. Then how many shaded squares touch the dashed line, on both sides together?
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4.Fold along the dashed line: the shaded squares on the two sides match exactly.
True or false?
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5.The picture above is finished so that it is symmetric about the dashed line. Which one is done right?
- A
- B
- C
- D
Choose the right picture
Answer:
6.This is a symmetric picture. What kind of line is its line of symmetry?
- A. An upright line (top to bottom)
- B. A slanting line
- C. It has none
- D. A flat line (left to right)
Choose the right answer
Answer:

7.May folds a sheet of paper in half and cuts 7 holes in it, none on the fold. How many holes are there when it is opened out?
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8.Ka-yan builds a pattern of blocks that is symmetric left and right. 2 blocks sit on the line of symmetry and 3 are to its left. How many blocks are in the whole pattern?
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9.May colours 2 squares red and 2 squares blue to the left of a dashed line, then mirrors the picture across the line. How many squares are blue in the whole picture?
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10.A butterfly's wings are symmetric, left and right, with 16 spots on the two wings together. How many spots are on the left wing?
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11.A butterfly's wings are symmetric, left and right, with 6 spots on the two wings together. How many spots are on the left wing?
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12.Tsz-ching folds a sheet of paper in half and cuts 8 holes in it, none on the fold. How many holes are there when it is opened out?
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Show the answers and working

Mirror pictures worksheet: Answers and working

1. 5 squares
In a mirror, every shaded square gets a partner on the other side. Count the shaded squares on this side first.
Each shaded square is mirrored across: 5 on this side means 5 on the other.
2. 12 squares
First count the shaded squares on this side. Once it's finished, how many will the other side have?
6 on this side and 6 mirrored on the other: 6 + 6 = 12.
3. 2 squares
First count the shaded squares on this side that touch the line. Mirrored, do they still touch it?
1 shaded squares touch the line on this side; mirrored, they still touch it, so 1 on the other side too: 2 in all.

4. True
Check square by square: for each shaded one, is the square just as far on the other side of the line shaded too?
Check square by square: every shaded square needs a shaded partner just as far from the line on the other side.
5. C
Check each one: a square touching the line must touch it on the other side too, and a far one lands just as far.
A square against the line stays against it, and one further away lands just as far away: the right one matches exactly when folded on the line.
6. D. A flat line (left to right)
Try an upright line and a flat line through the middle, and imagine folding along each.
Try an upright line and a flat line through the middle, folding on each: the one where the sides match is the line of symmetry.

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

7. 14 holes
Folded, how many layers does each cut go through? Opened out, how many holes does each cut make?
Each cut goes through both layers, so each hole opens out as two, one each side of the fold: 7 + 7 = 14.
8. 8 blocks
3 blocks on the left: how many does the mirror put on the right? Do the 2 on the line count twice?
3 on the left and 3 mirrored on the right; the 2 on the line count once: 3 + 3 + 2 = 8.
9. 4 squares
Mirroring doesn't change colours. Look only at blue: 2 on the left, so how many on the right?
Mirroring keeps the colours: 2 blue on the left and 2 on the right, 2 + 2 = 4. The red ones don't count.
10. 8 spots
Symmetric means both wings have the same number of spots. Which number added to itself makes 16?
Symmetric, so both sides have the same: 8 + 8 = 16, so the left wing has 8.
11. 3 spots
Symmetric means both wings have the same number of spots. Which number added to itself makes 6?
Symmetric, so both sides have the same: 3 + 3 = 6, so the left wing has 3.
12. 16 holes
Folded, how many layers does each cut go through? Opened out, how many holes does each cut make?
Each cut goes through both layers, so each hole opens out as two, one each side of the fold: 8 + 8 = 16.

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