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CBSE · Class 4 · Mathematics

Fun with Symmetry

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
How many lines of symmetry does a rectangle (not a square) have?
  1. 4
  2. 2
  3. 6
  4. 3
2.
Which capital letter looks the same in a mirror held beside it (a standing line of symmetry)?
  1. M
  2. N
  3. Z
  4. L
3.
Which digit looks the same in a mirror held beside it?
  1. 3
  2. 5
  3. 2
  4. 8
4.
Does the number 68 look the same when you see it in a mirror held beside it?
  1. Only if it is upside down
  2. Yes
  3. Only the first digit does
  4. No
5.
A line that folds a shape into two matching halves is a:
  1. perimeter
  2. diameter only
  3. line of symmetry
  4. right angle
6.
Can equal triangles cover the floor of a verandah with no gaps and no overlaps?
  1. Only in a round room
  2. Yes
  3. No, there will be gaps
  4. Only if they overlap
7.
Does the word TAT look exactly the same in a mirror held beside it?
  1. Only in capital letters
  2. No
  3. Only the first letter
  4. Yes
8.
A paper is folded in half twice, and 4 holes are punched through all the layers. How many holes are there when it is opened out?
  1. 16
  2. 17
  3. 20
  4. 12
Section B — Short answer8 × 2 = 16 marks
9.
How many lines of symmetry does a square handkerchief have?
10.
Which of these letters have a standing (vertical) line of symmetry? H, B, E, D, C
11.
Which digit goes in the box so that 8818☐ looks the same in a mirror held beside it?
12.
Write the word YOUTH as it looks in a mirror held beside it (letters in reverse order).
13.
Can circles tile the floor of a school courtyard without gaps? Explain.
14.
A paper is folded in half and 14 holes are punched through both layers. How many holes are there when it is opened?
15.
Does 101 look the same in a mirror held beside it?
16.
A paper is folded in half once and 7 holes are cut through all the layers. How many holes are there when it is opened?
Section C — Word problems4 × 4 = 16 marks
17.
Write how many lines of symmetry each shape has: a rectangular notebook cover, an equilateral triangle, a rectangular door.
18.
Which of these numbers look the same in a mirror held beside them: 818, 88, 181, 607? Explain the rule.
19.
Which of these words look the same in a mirror held beside them: OTTO, AHA, BOOK, CAT?
20.
A floor is to be tiled. Will circles work? Will regular hexagons work? What does “no gaps and no overlaps” mean?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 4 · Mathematics

Answer key

Fun with Symmetry · AW-4M-FWS-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(b) 2—
2(a) M—
3(d) 8only 0, 1 and 8 do
4(d) Noa mirror flips the order and each digit; it must use only 0, 1, 8 and read the same backwards
5(c) line of symmetry—
6(b) Yes—
7(d) Yesevery letter is symmetrical and the word reads the same backwards
8(a) 164 layers × 4
94—
10H—
118it must read the same backwards, so the box matches the digit before the middle
12HTUOYthese letters are symmetrical, so only the order changes
13No, circles leave gaps between them.—
1428each hole goes through both halves
15Yesonly 0, 1 and 8, and it reads the same backwards
16142 layers each get 7 holes
17a rectangular notebook cover: 2; an equilateral triangle: 3; a rectangular door: 2—
18818, 88, 181; the digits must be 0, 1 or 8 and the number must read the same backwards—
19OTTO, AHAevery letter must be symmetrical and the word must read the same backwards
20Circles: no; regular hexagons: yes. The tiles must cover the whole floor, and no tile may lie on another.—