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CBSE · Class 5 · Mathematics

Shapes and Patterns

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.
A triangle has sides of 8 cm, 8 cm and 8 cm. What kind of triangle is it?
  1. Equilateral
  2. Isosceles
  3. Scalene
  4. Rhombus
2.
How many sides do 2 octagons and 1 hexagon have in all?
  1. 22
  2. 16
  3. 3
  4. 30
3.
A quadrilateral has all four sides equal, but its angles are not right angles. What is it?
  1. Square
  2. Kite
  3. Rhombus
  4. Rectangle
4.
Each side of a regular shape is 9 cm, and all its sides add up to 45 cm. What is the shape?
  1. Pentagon
  2. Hexagon
  3. Square
  4. Triangle
5.
A triangle with all three sides equal is:
  1. a kite
  2. isosceles only
  3. scalene
  4. equilateral
6.
A 5 × 5 × 5 cube made of small cubes is painted on the outside. How many small cubes have no face painted?
  1. 27
  2. 8
  3. 36
  4. 54
7.
A weaving strip follows the pattern over, over, under, under, over, over, under, under, … Is the 37th step over or under?
  1. Under
  2. Both
  3. Neither
  4. Over
8.
A block is built from small cubes: 4 long, 2 wide and 2 high. How many small cubes are used?
  1. 16
  2. 8
  3. 24
  4. 20
Section B — Short answer8 × 2 = 16 marks
9.
Is a triangle with sides 7 cm, 7 cm and 7 cm equilateral, isosceles or scalene?
10.
How many corners do 5 hexagons have in all?
11.
Each side of a regular pentagon is 15 cm. What is the total length of all its sides?
12.
Name the quadrilateral: it has four sides of 3 cm, but no right angles.
13.
A 4 × 4 × 4 cube is painted red on the outside and cut into small cubes. How many small cubes have exactly two red faces?
14.
A triangular prism has 5 faces and 6 corners. For these solids, faces + corners − edges = 2. How many edges does it have?
15.
Tiles are laid in the repeating colour pattern yellow, green, red, blue, yellow, green, red, blue, … What colour is tile number 40?
16.
A shape is made of 6 equal triangles. Another is made of 8 of the same triangles. How many triangles do both use together, and how many more does the bigger one use?
Section C — Word problems4 × 4 = 16 marks
17.
A big 6 × 6 × 6 cube made of small cubes is painted on all its faces. (a) How many small cubes are there? (b) How many have no face painted? (c) How many have exactly 1 face painted? (d) How many have 3 faces painted?
18.
Sort these triangles as equilateral, isosceles or scalene: (a) 9 cm, 14 cm, 10 cm; (b) 7 cm, 7 cm, 7 cm; (c) 10 cm, 18 cm, 10 cm.
19.
Which of these regular shapes can tile a floor with no gaps: square, hexagon, triangle? For each one that cannot, say what goes wrong.
20.
Asha cuts 2 equilateral triangles and 2 squares, all with sides of 10 cm. (a) How many sides are there in all? (b) What is the total length of the triangles’ sides? (c) Of the squares’ sides?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 5 · Mathematics

Answer key

Shapes and Patterns · AW-5M-SNP-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(a) Equilateralequilateral: 3 equal sides; isosceles: 2; scalene: none
2(a) 222 × 8 + 1 × 6
3(c) Rhombus—
4(a) Pentagon45 ÷ 9 = 5 sides
5(d) equilateral—
6(a) 27a 3 × 3 × 3 block inside
7(d) Overthe pattern repeats every 4 steps; 37 ÷ 4 leaves 1
8(a) 164 × 2 = 8 in each layer; 2 layers
9Equilateral—
1030each hexagon has 6 corners
1175 cm5 equal sides: 5 × 15
12Rhombus—
13242 on each of 12 edges
1495 + 6 − 2
15Blue40 ÷ 4 leaves 0
1614; 2—
17(a) 216; (b) 64; (c) 96; (d) 8the corners have 3, the edges have 2, the face middles have 1; 64 inside have none
18(a) scalene; (b) equilateral; (c) isosceles—
19square: yes; hexagon: yes; triangle: yesregular triangles, squares and hexagons fit together at every corner
20(a) 14; (b) 60 cm; (c) 80 cm2 × 3 + 2 × 4