AmbifulWorksheets
Practice that never repeats
CBSE · Class 5 · Mathematics

Symmetrical Designs

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.
Which capital letter has a line of symmetry going straight up and down?
  1. L
  2. G
  3. S
  4. H
2.
Which capital letter has a line of symmetry going across?
  1. Y
  2. J
  3. W
  4. X
3.
Which capital letter looks the same after a half turn?
  1. T
  2. L
  3. D
  4. H
4.
How many lines of symmetry does a parallelogram (no right angles) have?
  1. 2
  2. 1
  3. 0
  4. 4
5.
A line that folds a shape into two matching halves is a:
  1. edge
  2. line of symmetry
  3. diameter
  4. right angle
6.
Which of these letter strings looks exactly the same in a mirror stood beside it?
  1. ZUUV
  2. ATTA
  3. HUUHY
  4. JWWU
7.
Does a kite look the same after a quarter turn?
  1. Only if it is coloured
  2. Only after a one-eighth turn
  3. No
  4. Yes
8.
Which number looks the same after a half turn (turn the page upside down)?
  1. 800
  2. 863
  3. 986
  4. 300
Section B — Short answer8 × 2 = 16 marks
9.
Write the letters in WINDOW that have an up-and-down line of symmetry.
10.
How many lines of symmetry does a regular shape with 10 sides have?
11.
Which of these letters have both an up-and-down and an across line of symmetry: V, P, W, R, I, X, M?
12.
Write the first number after 785 that looks the same after a half turn.
13.
How many letters of KITE look the same after a half turn?
14.
What is the total number of lines of symmetry of a rhombus (not a square), a parallelogram (no right angles) and the plus sign +?
15.
Does UUMUU look exactly the same in a mirror stood beside it? Answer yes or no.
16.
How many letters of KITE have an across line of symmetry?
Section C — Word problems4 × 4 = 16 marks
17.
Sort these letters: I, A, B, E, U, T, O, Q. (a) Up-and-down line only. (b) Across line only. (c) Both lines. (d) No line of symmetry.
18.
For each shape, write the number of lines of symmetry and whether it looks the same after a half turn: (a) a regular octagon (b) a regular pentagon (c) an isosceles triangle.
19.
Write the name TARA in capital letters. (a) Which of its letters have an up-and-down line of symmetry? (b) Which have an across line? (c) Which look the same after a half turn?
20.
(a) Does 809 look the same after a half turn? (b) What is the next number after 809 that does? (c) Write all such numbers from 900 to 999.
AmbifulWorksheets
Practice that never repeats
CBSE · Class 5 · Mathematics

Answer key

Symmetrical Designs · AW-5M-SYD-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(d) Hfold it down the middle and the two halves match
2(d) Xfold it across the middle and the top matches the bottom
3(d) Hturn the page upside down and it reads the same
4(c) 0—
5(b) line of symmetry—
6(b) ATTAevery letter must have an up-and-down line, and the string must read the same both ways
7(c) No—
8(c) 9860, 1 and 8 stay the same; 6 and 9 swap
9W, I, Oletters with an up-and-down line: A H I M O T U V W X Y
1010a regular shape has as many lines of symmetry as sides
11I, Xonly H, I, O and X have both
12808use only 0, 1, 8, 6 and 9, with 6 and 9 swapping
131half-turn letters: H I N O S X Z; in KITE: I
1462 + 0 + 4
15Yesevery letter needs an up-and-down line, and the string must read the same both ways
163across-line letters: B C D E H I K O X
17(a) A, U, T; (b) B, E; (c) I, O; (d) Q—
18(a) 8, yes; (b) 5, no; (c) 1, no—
19(a) T, A; (b) none; (c) none—
20(a) No; (b) 818; (c) 906, 916, 9860, 1, 8 stay the same and 6, 9 swap; the number also reads backwards