Q1. easy
How many sides does a triangle have?
- A 3
- B 4
- C 5
- D 6
Answer: A — 3
A triangle has 3 sides and 3 corners. 'Tri' means three.
➗ Mathematics · Topic 10 of 10
Shapes, Patterns & Data — Mathematics Questions with Answers
60 practice questions on Shapes, Patterns & Data, each with the correct answer and a clear explanation of why it is right. Read through them as revision notes, or take this topic as an interactive quiz to test yourself.
Key concepts in this topic
Easy questions (5)
Q2. easy
How many sides does a square have?
- A 4
- B 3
- C 5
- D 6
Answer: A — 4
A square has 4 equal sides and 4 corners.
Q3. easy
How many corners does a square have?
- A 4
- B 3
- C 2
- D 6
Answer: A — 4
A square has 4 corners (also called vertices).
Q4. easy
How many sides does a rectangle have?
- A 4
- B 3
- C 5
- D 2
Answer: A — 4
A rectangle has 4 sides - two long and two short - and 4 corners.
Q5. easy
How many sides does a circle have?
- A 0 (it is a curved shape)
- B 1
- C 3
- D 4
Answer: A — 0 (it is a curved shape)
A circle has no straight sides and no corners - it is a round, curved shape.
Medium questions (28)
Q6. medium
Which shape is round with no corners?
- A Circle
- B Square
- C Triangle
- D Rectangle
Answer: A — Circle
A circle is round and has no corners or straight sides.
Q7. medium
A shape with 4 equal sides is a:
- A Square
- B Rectangle
- C Triangle
- D Circle
Answer: A — Square
A square has 4 sides that are all the same length.
Q8. medium
A shape with 4 sides where two are long and two are short is a:
- A Rectangle
- B Square
- C Triangle
- D Circle
Answer: A — Rectangle
A rectangle has two long sides and two short sides.
Q9. medium
How many corners does a triangle have?
- A 3
- B 4
- C 0
- D 6
Answer: A — 3
A triangle has 3 corners, one at each point.
Q12. medium
Which of these is a 3D (solid) shape?
- A Cube
- B Square
- C Circle
- D Triangle
Answer: A — Cube
A cube is a solid (3D) shape, like a dice. Square, circle and triangle are flat (2D) shapes.
Q18. medium
How many corners does a rectangle have?
- A 4
- B 3
- C 2
- D 0
Answer: A — 4
A rectangle has 4 corners.
Q19. medium
What comes next in the pattern? Circle, Square, Circle, Square, ___
- A Circle
- B Square
- C Triangle
- D Rectangle
Answer: A — Circle
The pattern repeats Circle, Square. After Square comes Circle again.
Q20. medium
What comes next in the number pattern? 2, 4, 6, 8, ___
- A 10
- B 9
- C 12
- D 7
Answer: A — 10
The pattern adds 2 each time: 2, 4, 6, 8, 10.
Q21. medium
What comes next? 5, 10, 15, 20, ___
- A 25
- B 21
- C 30
- D 22
Answer: A — 25
The pattern adds 5 each time: 5, 10, 15, 20, 25.
Q23. medium
What comes next? A, B, C, D, ___
- A E
- B F
- C A
- D Z
Answer: A — E
The pattern follows the alphabet in order: A, B, C, D, E.
Q25. medium
Which shape has 3 sides and 3 corners?
- A Triangle
- B Square
- C Circle
- D Rectangle
Answer: A — Triangle
A triangle has 3 sides and 3 corners.
Q29. medium
The amount of space inside a flat shape is called its:
- A Area
- B Perimeter
- C Corner
- D Side
Answer: A — Area
The area is the space covered inside a flat shape. It is measured in square units.
Q30. medium
Which of these objects is round like a circle?
- A A coin
- B A book
- C A door
- D A matchbox
Answer: A — A coin
A coin is round like a circle. A book, door and matchbox are rectangle shapes.
Q31. medium
Which of these objects is shaped like a rectangle?
- A A door
- B A ball
- C A wheel
- D A plate
Answer: A — A door
A door is shaped like a rectangle. A ball, wheel and plate are round.
Q35. medium
A tally mark of |||| (four lines) with a line across means:
- A 5
- B 4
- C 10
- D 1
Answer: A — 5
Four lines with one crossing them stands for 5 in a tally chart. It makes counting in fives easy.
Q37. medium
Which shape can roll?
- A A ball (sphere)
- B A cube
- C A cuboid
- D A square
Answer: A — A ball (sphere)
A ball (sphere) can roll because it is round. Cubes and cuboids have flat faces and do not roll.
Q38. medium
What comes next in the pattern? △ ○ △ ○ △ ___
- A ○
- B △
- C □
- D ◇
Answer: A — ○
The pattern repeats triangle, circle. After a triangle comes a circle (○).
Q40. medium
How many faces does a cube have?
- A 6
- B 4
- C 8
- D 2
Answer: A — 6
A cube has 6 square faces, like a dice.
Q42. medium
Which shape is like the face of a clock?
- A Circle
- B Square
- C Triangle
- D Rectangle
Answer: A — Circle
The face of a clock is round, so it is a circle.
Q44. medium
What comes next in the pattern? 1, 3, 5, 7, ___
- A 9
- B 8
- C 10
- D 6
Answer: A — 9
These are odd numbers, adding 2 each time: 1, 3, 5, 7, 9.
Q46. medium
Which of these shapes has the most sides?
- A Hexagon (6 sides)
- B Triangle (3)
- C Square (4)
- D Pentagon (5)
Answer: A — Hexagon (6 sides)
A hexagon has 6 sides, which is more than a triangle (3), square (4) or pentagon (5).
Q48. medium
Which shape is used for a road sign that is a triangle warning?
- A Triangle
- B Circle
- C Square
- D Star
Answer: A — Triangle
Warning road signs are often triangle-shaped.
Q50. medium
How many sides does a square have that are equal?
- A All 4 sides are equal
- B Only 2
- C Only 3
- D None
Answer: A — All 4 sides are equal
In a square, all 4 sides are the same length. This is what makes it different from a rectangle.
Q52. medium
Which shape has no straight sides at all?
- A Circle
- B Square
- C Triangle
- D Rectangle
Answer: A — Circle
A circle is made of one smooth curve and has no straight sides.
Q54. medium
Which solid shape has a pointed top and a round base?
- A Cone
- B Cube
- C Sphere
- D Cuboid
Answer: A — Cone
A cone has a round base and comes to a point at the top, like a party hat or an ice-cream cone.
Q56. medium
Which of these is a pattern that repeats?
- A Red, Blue, Red, Blue, Red, Blue
- B Red, Blue, Green, Yellow, Pink
- C 1, 5, 2, 9, 3
- D A, X, M, P
Answer: A — Red, Blue, Red, Blue, Red, Blue
Red, Blue keeps repeating, so it is a repeating pattern. The others do not repeat in a regular way.
Q58. medium
How many corners does a circle have?
- A 0 (none)
- B 1
- C 2
- D 4
Answer: A — 0 (none)
A circle has no corners - it is a smooth round shape.
Q60. medium
What comes next in the pattern? 3, 6, 9, 12, ___
- A 15
- B 13
- C 14
- D 18
Answer: A — 15
The pattern adds 3 each time: 3, 6, 9, 12, 15 (the 3 times table).
Hard questions (27)
Q10. hard
How many sides does a pentagon have?
- A 5
- B 4
- C 6
- D 3
Answer: A — 5
A pentagon has 5 sides. 'Penta' means five.
Q11. hard
How many sides does a hexagon have?
- A 6
- B 5
- C 8
- D 4
Answer: A — 6
A hexagon has 6 sides. 'Hexa' means six.
Q13. hard
A dice (like in Ludo) is shaped like a:
- A Cube
- B Sphere
- C Cone
- D Cylinder
Answer: A — Cube
A dice is a cube - a solid shape with 6 square faces.
Q14. hard
A ball is shaped like a:
- A Sphere
- B Cube
- C Cone
- D Cuboid
Answer: A — Sphere
A ball is a sphere - a perfectly round solid shape.
Q15. hard
An ice-cream cone is shaped like a:
- A Cone
- B Sphere
- C Cube
- D Cylinder
Answer: A — Cone
An ice-cream cone is a cone - round at the bottom and pointed at the top.
Q16. hard
A tin of food or a pipe is shaped like a:
- A Cylinder
- B Cube
- C Sphere
- D Cone
Answer: A — Cylinder
A tin or pipe is a cylinder - round with two flat circle ends.
Q17. hard
A brick or a matchbox is shaped like a:
- A Cuboid
- B Cube
- C Sphere
- D Cone
Answer: A — Cuboid
A brick or matchbox is a cuboid - a box shape with 6 rectangular faces.
Q22. hard
What comes next? 1, 2, 4, 8, ___
- A 16
- B 10
- C 12
- D 9
Answer: A — 16
Each number is doubled: 1, 2, 4, 8, 16 (8 × 2 = 16).
Q24. hard
What comes next? 20, 18, 16, 14, ___
- A 12
- B 13
- C 15
- D 10
Answer: A — 12
The pattern goes down by 2 each time: 20, 18, 16, 14, 12.
Q26. hard
The distance all around a shape is called its:
- A Perimeter
- B Area
- C Corner
- D Side
Answer: A — Perimeter
The perimeter is the total length of all the sides of a shape - the distance around it.
Q27. hard
A square has all sides of 5 cm. What is its perimeter?
- A 20 cm
- B 10 cm
- C 25 cm
- D 5 cm
Answer: A — 20 cm
Perimeter = add all 4 sides = 5 + 5 + 5 + 5 = 20 cm.
Q28. hard
A rectangle has sides 6 cm, 4 cm, 6 cm and 4 cm. What is its perimeter?
- A 20 cm
- B 24 cm
- C 10 cm
- D 16 cm
Answer: A — 20 cm
Perimeter = 6 + 4 + 6 + 4 = 20 cm.
Q32. hard
In a bar chart, 5 children like apples and 3 like bananas. How many more like apples?
- A 2
- B 8
- C 5
- D 3
Answer: A — 2
5 - 3 = 2 more children like apples.
Q33. hard
A tally chart shows: Red = 4, Blue = 6, Green = 2. Which colour is most liked?
- A Blue
- B Red
- C Green
- D All equal
Answer: A — Blue
Blue has the highest number (6), so it is the most liked colour.
Q34. hard
A chart shows fruits sold: Apple = 10, Mango = 15, Banana = 5. How many fruits were sold in all?
- A 30
- B 25
- C 20
- D 35
Answer: A — 30
Total = 10 + 15 + 5 = 30 fruits.
Q36. hard
A pictograph shows 1 star = 2 books. If a shelf has 3 stars, how many books?
- A 6
- B 3
- C 2
- D 5
Answer: A — 6
3 stars × 2 books each = 6 books.
Q39. hard
What comes next? 10, 20, 30, 40, ___
- A 50
- B 45
- C 60
- D 41
Answer: A — 50
The pattern adds 10 each time: 10, 20, 30, 40, 50.
Q41. hard
How many corners (vertices) does a cube have?
- A 8
- B 6
- C 4
- D 12
Answer: A — 8
A cube has 8 corners (vertices).
Q43. hard
A triangle has sides 3 cm, 4 cm and 5 cm. What is its perimeter?
- A 12 cm
- B 9 cm
- C 10 cm
- D 60 cm
Answer: A — 12 cm
Perimeter = 3 + 4 + 5 = 12 cm.
Q45. hard
A pictograph shows 1 picture = 5 pens. If there are 4 pictures, how many pens?
- A 20
- B 9
- C 5
- D 45
Answer: A — 20
4 pictures × 5 pens each = 20 pens.
Q47. hard
In a data table: Monday = 2 books, Tuesday = 4, Wednesday = 6. On which day were most books read?
- A Wednesday
- B Monday
- C Tuesday
- D All same
Answer: A — Wednesday
Wednesday has the highest number (6 books), so most books were read on Wednesday.
Q49. hard
What comes next? 100, 90, 80, 70, ___
- A 60
- B 65
- C 75
- D 50
Answer: A — 60
The pattern goes down by 10 each time: 100, 90, 80, 70, 60.
Q51. hard
A tally chart shows Cats = |||| , Dogs = ||| . How many pets in all? (each | is 1)
- A 7
- B 8
- C 4
- D 3
Answer: A — 7
Cats = 4, Dogs = 3. Total = 4 + 3 = 7 pets.
Q53. hard
What comes next in the growing pattern? 1, 4, 9, 16, ___
- A 25
- B 20
- C 24
- D 18
Answer: A — 25
These are square numbers: 1×1, 2×2, 3×3, 4×4, 5×5 = 1, 4, 9, 16, 25.
Q55. hard
A bar graph shows Class A = 20 students and Class B = 25 students. How many students in both classes?
- A 45
- B 5
- C 40
- D 50
Answer: A — 45
Total = 20 + 25 = 45 students.
Q57. hard
A rectangle's long side is 8 cm and short side is 3 cm. What is its perimeter?
- A 22 cm
- B 11 cm
- C 24 cm
- D 16 cm
Answer: A — 22 cm
Perimeter = 8 + 3 + 8 + 3 = 22 cm (add all four sides).
Q59. hard
Which overall statement about shapes, patterns and data is CORRECT?
- A Flat (2D) shapes have sides and corners, solid (3D) shapes have faces and can roll or stack; patterns repeat or grow in a rule; and charts help us read and compare data
- B All shapes have 4 sides
- C A circle has 4 corners
- D Patterns never follow a rule
Answer: A — Flat (2D) shapes have sides and corners, solid (3D) shapes have faces and can roll or stack; patterns repeat or grow in a rule; and charts help us read and compare data
This sums up the topic: 2D shapes (circle, triangle, square, rectangle) have sides and corners; 3D shapes (cube, sphere, cone, cylinder, cuboid) have faces; patterns follow a rule of repeating or growing; and bar charts, tally marks and pictographs help us organise and compare information.