Geometry
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Point, Line, Line Segment, and Ray
SubtopicPoint, Line, Line Segment, and Ray under Geometry for Grade 4 ICSE.
Preview questions (no answers)
- 1.
Which geometric figure represents the edge of a ruler?
A.Point
B.Ray
C.Line segment
D.Curve
- 2.
What is the name of the point where two rays meet to form an angle?
A.Vertex
B.Edge
C.Center
D.Endpoint
- 3.
Two lines that meet at a common point are called:
A.Parallel lines
B.Intersecting lines
C.Vertical lines
D.Horizontal lines
- 4.
Which of these cannot be measured?
A.Line segment
B.Ray
C.Side of a square
D.Edge of a book
- 5.
Which of these geometric figures has a definite length but no breadth?
A.Point
B.Ray
C.Line segment
D.Rectangle
- 6.
What is the common endpoint of two rays forming an angle called?
A.Vertex
B.Intersection
C.Center
D.Midpoint
- 7.
Three or more points that lie on the same straight line are called:
A.Parallel points
B.Collinear points
C.Intersecting points
D.Concurrent points
- 8.
A drawing shows a line segment . If you extend it indefinitely in only the direction of , which geometric figure is formed?
A.Line Segment
B.Ray
C.Line
D.Ray
- 9.
Two lines are drawn on a flat sheet of paper. If they intersect at a location called , what is the geometric name for ?
A.The Intersection Line
B.The Ray
C.The Point of Intersection
D.The Segment
- 10.
A rope is stretched tight between two poles, and . If the rope is meters long, and we ignore its thickness, which geometric property distinguishes it from a ray starting at ?
A.It has no starting point
B.It has a definite length and two endpoints
C.It extends forever in one direction
D.It has no thickness
Download the worksheet for Geometry - Point, Line, Line Segment, and Ray to practice offline. It includes additional chapter-level practice questions.
Preview questions (no answers)
- 1.
Identify the angle type shown where the measurement is .
A.Acute
B.Obtuse
C.Straight
D.Complete
- 2.
The angle formed by the letter 'L' is usually a/an:
A.Acute angle
B.Obtuse angle
C.Right angle
D.Straight angle
- 3.
If an angle measures , what type of angle is it?
A.Acute
B.Obtuse
C.Right
D.Straight
- 4.
How many right angles are there in a square?
A.1
B.2
C.3
D.4
- 5.
Look at the open scissors. The angle formed by the blades is . What type of angle is it?
A.Acute
B.Right
C.Obtuse
D.Straight
- 6.
If an angle is halved and the result is , what was the original angle type?
A.Acute
B.Right
C.Obtuse
D.Straight
- 7.
Which of these degrees represents a reflex angle?
A.B.C.D. - 8.
A clock shows the time exactly as 4:00 PM. If the minute hand is at 12 and the hour hand is at 4, calculate the smaller angle formed between the two hands and identify its type.
A., Acute angle
B., Obtuse angle
C., Right angle
D., Obtuse angle
- 9.
A laptop screen is opened from a closed position. If it is opened past a right angle to get a better viewing angle, what is the total angle the screen makes with the keyboard?
A.Obtuse angle,
B.Acute angle,
C.Obtuse angle,
D.Right angle,
- 10.
A yoga instructor asks students to move their arm from a resting position (side of the body) to a position straight up above their head. By how many degrees did the arm rotate, and what type of angle does this path represent?
A.Straight angle,
B.Right angle,
C.Complete angle,
D.Obtuse angle,
Download the worksheet for Geometry - Types of Angles to practice offline. It includes additional chapter-level practice questions.
Introduction to Circles
SubtopicIntroduction to Circles under Geometry for Grade 4 ICSE.
Preview questions (no answers)
- 1.
Two circles having the same center but different radii are called:
A.Similar circles
B.Concentric circles
C.Twin circles
D.Equal circles
- 2.
If the diameter of a circle is cm, what is its radius?
A.cm
B.cm
C.cm
D.cm
- 3.
Any part of the circumference of a circle is called an:
A.Arc
B.Inner circle
C.Diameter
D.Radius
- 4.
Which instrument is used to draw a perfect circle?
A.Ruler
B.Protractor
C.Compass
D.Set square
- 5.
If a circle has a radius of cm, what is the length of the longest possible line segment that can be drawn inside it?
A.cm
B.cm
C.cm
D.cm
- 6.
What is the relation between the lengths of all radii of the same circle?
A.They are all different
B.They are all equal
C.Only two are equal
D.They are half of each other
- 7.
A circle is drawn with a radius of cm. If a chord is drawn cm away from the center, the chord lies:
A.Inside the circle
B.On the circle
C.Outside the circle
D.Through the center
- 8.
A designer wants to place a circular sticker on a rectangular laptop lid. The lid is wide and tall. What is the radius of the largest circular sticker that can fit entirely on the lid without hanging over the edges?
A.B.C.D. - 9.
A circular wire of radius is cut and straightened. Then, it is bent into the shape of a large semi-circle (including the straight base). If we only consider the straight part of this semi-circle to be the diameter of the original circle, how many such diameters can be cut from the straightened wire? (Ignore the curved part for the result, just divide original circumference by the diameter and find the whole number).
A.B.C.D. - 10.
A compass is set to a width of to draw a circle. If the needle of the compass is fixed at point and the pencil draws a curve from point to point such that , , and are in a straight line, what is the length of the segment ?
A.B.C.D.
Download the worksheet for Geometry - Introduction to Circles to practice offline. It includes additional chapter-level practice questions.
Symmetry and Patterns
SubtopicSymmetry and Patterns under Geometry for Grade 4 ICSE.
Preview questions (no answers)
- 1.
The figure shown below is a rectangle. How many lines of symmetry does a rectangle have?
A.1
B.2
C.3
D.4
- 2.
What is the order of the next block in this pattern: 2, 4, 8, 16, ___?
A.18
B.24
C.32
D.64
- 3.
Which of the following numbers is symmetrical along a horizontal line?
A.3
B.7
C.4
D.2
- 4.
Complete the pattern: Up arrow, Right arrow, Down arrow, Left arrow, ___
A.Down arrow
B.Left arrow
C.Up arrow
D.Right arrow
- 5.
A pattern is formed by adding 7 to the previous number. If the first number is 12, what is the 5th number?
A.33
B.40
C.47
D.54
- 6.
Observe the rotation of the 'L' shape. If it rotates clockwise each time, what is the 4th position?
A.Facing Up
B.Facing Left
C.Facing Down
D.Facing Right
- 7.
Which of the following shapes has exactly 2 lines of symmetry?
A.Square
B.Equilateral Triangle
C.Rectangle (non-square)
D.Circle
- 8.
If a shape has rotational symmetry of order , what is the smallest angle (greater than ) it can be rotated by to look exactly the same as its original position?
A.B.C.D. - 9.
A pattern is made by overlapping two identical circles such that the center of each circle lies on the circumference of the other. How many lines of symmetry does the resulting overlapping region (the 'vesica piscis') have?
A.B.C.D.Infinite
- 10.
A rectangle has a length of cm and a width of cm. How many lines of symmetry can be drawn that divide this rectangle into two identical smaller rectangles?
A.B.C.D.
Download the worksheet for Geometry - Symmetry and Patterns to practice offline. It includes additional chapter-level practice questions.
Preview questions (no answers)
- 1.
Which solid has a net consisting of four equilateral triangles?
A.Cube
B.Square Pyramid
C.Triangular Pyramid
D.Triangular Prism
- 2.
In the net of a cylinder, what does the width of the rectangle represent?
A.The radius of the circle
B.The height of the cylinder
C.The diameter of the circle
D.The center of the circle
- 3.
What shape is the base of the pyramid shown in this net?
A.Triangle
B.Square
C.Hexagon
D.Pentagon
- 4.
Which of these 3D shapes has no flat faces and therefore no traditional 'flat' net?
A.Cube
B.Cylinder
C.Sphere
D.Cone
- 5.
Identify the shape from its net: it has 2 hexagonal bases and 6 rectangular faces.
A.Hexagonal Pyramid
B.Hexagonal Prism
C.Octagonal Prism
D.Pentagonal Prism
- 6.
How many vertices will the 3D shape formed by this net have?
A.4
B.6
C.8
D.12
- 7.
If you fold this net, which two faces will be opposite to each other?
A.1 and 3
B.2 and 4
C.1 and 6
D.3 and 5
- 8.
Which of these 3D shapes can be formed if you fold the net consisting of two identical squares and four identical rectangles as shown?
A.Square Pyramid
B.Cube
C.Square Prism (Cuboid)
D.Triangular Prism
- 9.
A net of a hexagonal pyramid is shown. How many triangular faces must be folded to meet at the single vertex of the pyramid?
A.B.C.D. - 10.
Study the net of the 3D shape. If all the edges of the triangular faces and the square base are cm, what is the total length of all the outer boundary lines of the net?
A.cm
B.cm
C.cm
D.cm
Download the worksheet for Geometry - Nets of 3D shapes to practice offline. It includes additional chapter-level practice questions.