Unit Test (Solutions): Hide and Seek | Mathematics for Class 4 (Maths Mela: New NCERT) PDF Download

Total Marks: 20
Attempt all questions.

• Question numbers 1 to 4 carry 1 mark each.
• Question numbers 5 to 9 carry 2 marks each.
• Question numbers 10 and 11 carry 3 marks each.

Q1. Which of the following shapes can roll and also slide? (1 Mark)
(a) Cube
(b) Cone
(c) Cylinder
(d) Sphere
Ans: (c) Cylinder

A cylinder has both curved and flat faces. It can roll on its curved face and slide on its flat faces.

Q2. How many faces does a cube have that are all equal in size and shape? (1 Mark)
(a) 4
(b) 5
(c) 6
(d) 8
Ans: (c) 6

A cube has 6 square faces and all of them are equal in size and shape.

Q3. What kind of edge is formed where two flat surfaces meet in a solid shape? (1 Mark)
(a) Curved edge
(b) Sharp corner
(c) Flat edge
(d) Line edge
Ans: (d) Line edge

When two flat surfaces meet in a solid, they form a line edge.

Q4. Which solid shape has no edges, no corners, and only one curved surface? (1 Mark)
(a) Cone
(b) Sphere
(c) Cylinder
(d) Cuboid
Ans: (b) Sphere

A sphere has only one curved surface. It does not have any edge or corner.

Q5. Write two differences between a cube and a cuboid. (2 Mark)
Ans: 

• All faces of a cube are squares, but in a cuboid, faces are rectangles.
• All sides of a cube are equal in length, but in a cuboid, opposite sides are equal.

Q6. Identify the shape which has: (2 Mark)

• 1 curved surface
• 1 flat face
• 1 vertex
• 1 edge
  Name the shape and explain how it can be used to make patterns.

Ans: The shape is a cone. It has one flat circular base and one curved surface tapering to a point. When rolled in paint and pressed on paper, it forms a circle from the base and a point from the vertex.

Q7. How many edges and corners does a cylinder have? Explain why it can roll but not slide on all surfaces. (2 Mark)
Ans: A cylinder has 2 edges and no corners. It can roll on its curved surface but can slide only on its flat circular faces. The rolling or sliding depends on which surface touches the ground.

Q8. How can we decide if a shape can stack, slide, or roll? Explain with properties. (2 Mark)
Ans: A shape with flat faces can stack and slide. A shape with a curved face can roll. Some shapes can do more than one depending on which part is in contact with a surface.

Q9. A grid has 3 rows and 3 columns. An eraser is at Row 3, Column 3, and a pencil is at Row 3, Column 1. Starting from Row 1, Column 1, how many steps (up or right only, no diagonals) are needed to reach the eraser? (2 Mark)
Ans: 

• Starting point: Row 1, Column 1.
• Target: Eraser at Row 3, Column 3.
• To reach Row 3 from Row 1, move 2 steps up (Row 1 to Row 2, Row 2 to Row 3).
• To reach Column 3 from Column 1, move 2 steps right (Column 1 to Column 2, Column 2 to Column 3).
• Total steps: 2 (up) + 2 (right) = 4 steps.

Q10. Complete the table for the following solid shapes and answer the question that follows: (3 Mark)

What type of face does each shape have (flat or curved)?
Ans: 

• Cube: All flat faces
• Cylinder: Two flat, one curved
• Cone: One flat, one curved

Q11. A child makes an object using a cube, a cylinder, and a cone. (3 Mark)
(a) Which parts of this object can roll, and why?
(b) Which part will form a square when pressed on paper?
(c) Which part will leave a circular print?
Ans:
(a) The cylinder and cone can roll because they have curved surfaces.
(b) The cube will form a square when its face is pressed on paper.
(c) The cylinder’s base or cone’s base will leave a circular print.