Geometry
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Properties of 2D shapes (polygons, circles)
SubtopicProperties of 2D shapes (polygons, circles) under Geometry for Grade 4 IGCSE.
Preview questions (no answers)
- 1.
Sarah draws a shape with equal sides and right angles. What is the name of this polygon?
A.Rectangle
B.Pentagon
C.Square
D.Triangle
- 2.
Which of these labels the line segment passing through the center of the circle from one side to the other?
A.Radius
B.Diameter
C.Chord
D.Arc
- 3.
What shape is formed by the boundary of the figure shown?
A.Square
B.Circle
C.Pentagon
D.Octagon
- 4.
Which word describes the perimeter of a circle?
A.Area
B.Diameter
C.Circumference
D.Radius
- 5.
A circle is drawn inside a square so that it touches all four sides. If the distance from the center of the circle to its edge is cm, what is the length of one side of the square?
A.cm
B.cm
C.cm
D.cm
- 6.
Look at the kite shown. How many pairs of equal adjacent sides does it have?
A.1
B.2
C.3
D.4
- 7.
Which of the following describes the shape shown?
A.Regular Hexagon
B.Irregular Hexagon
C.Regular Pentagon
D.Irregular Pentagon
- 8.
A circle is perfectly contained inside a square such that it touches all four sides. If the area of the square is square cm, what is the radius of the circle?
A.cm
B.cm
C.cm
D.cm
- 9.
An equilateral triangle and a square share a common side. If the perimeter of the square is cm, what is the perimeter of the entire composite shape (the outer boundary)?
A.cm
B.cm
C.cm
D.cm
- 10.
A kite has two pairs of equal adjacent sides. If one angle between unequal sides is and the opposite angle is , and a third angle is , what is the measure of the fourth angle?
A.B.C.D.
Download the worksheet for Geometry - Properties of 2D shapes (polygons, circles) to practice offline. It includes additional chapter-level practice questions.
Identifying and naming 3D shapes and their nets
SubtopicIdentifying and naming 3D shapes and their nets under Geometry for Grade 4 IGCSE.
Preview questions (no answers)
- 1.
Which 3D shape is formed when the following net is folded?
A.Square-based pyramid
B.Cube
C.Triangular prism
D.Cone
- 2.
A net with 6 identical squares will fold into which shape?
A.Cuboid
B.Pyramid
C.Cube
D.Prism
- 3.
How many faces does a cuboid have?
A.B.C.D. - 4.
Which of these 3D shapes has 0 vertices and 0 edges?
A.Cylinder
B.Cone
C.Sphere
D.Cube
- 5.
A net is a 2D pattern that can be folded to make a 3D shape. Sarah has the net shown in the diagram. Which 3D shape will this net form when it is folded?
A.Square-based pyramid
B.Cube
C.Triangular prism
D.Triangular-based pyramid
- 6.
A shape has 8 vertices and all its faces are rectangles. What is it?
A.Cube
B.Cuboid
C.Triangular Prism
D.Square-based Pyramid
- 7.
Which 3D shape is formed by two identical circular bases and a curved surface?
A.Sphere
B.Cylinder
C.Cone
D.Prism
- 8.
If you combine two identical square-based pyramids by gluing their square bases together perfectly, how many faces will the new 3D shape have?
A.B.C.D. - 9.
A mystery shape has vertices and edges. Its net would look like a single rectangle if you could unroll its curved surface completely, but it has no flat faces. What is this shape?
A.Sphere
B.Cylinder
C.Cone
D.Torus
- 10.
Which of these 3D shapes has the same number of vertices as a square-based pyramid?
A.A triangular-based pyramid
B.A triangular prism
C.A cube
D.A pentagonal-based pyramid
Download the worksheet for Geometry - Identifying and naming 3D shapes and their nets to practice offline. It includes additional chapter-level practice questions.
Classifying angles (acute, obtuse, right, reflex)
SubtopicClassifying angles (acute, obtuse, right, reflex) under Geometry for Grade 4 IGCSE.
Preview questions (no answers)
- 1.
How many right angles are in a square?
A.1
B.2
C.3
D.4
- 2.
What type of angle is exactly ?
A.Right angle
B.Acute angle
C.Straight angle
D.Obtuse angle
- 3.
Which angle measurement represents a reflex angle?
A.B.C.D. - 4.
Identify the type of the largest angle in this triangle.
A.Acute
B.Right
C.Obtuse
D.Reflex
- 5.
A robot turns to the right, then another to the right. What type of total angle has it turned through from its starting direction?
A.Acute
B.Obtuse
C.Reflex
D.Straight
- 6.
Identify the type of angle in the polygon shown.
A.Acute
B.Obtuse
C.Right
D.Reflex
- 7.
If you turn clockwise from North to South-West, what type of angle have you turned through?
A.Acute
B.Obtuse
C.Right
D.Reflex
- 8.
A gate is swung open to an angle of from its closed position. What type of angle has the gate moved through?
A.Acute
B.Right
C.Obtuse
D.Reflex
- 9.
A pair of scissors is opened so that the angle between the blades is . How would you describe this angle?
A.Acute
B.Right
C.Obtuse
D.Reflex
- 10.
A carpenter cuts a piece of wood. The exterior angle of the cut is measured as . Which category does this angle fall into?
A.Acute
B.Obtuse
C.Reflex
D.Right
Download the worksheet for Geometry - Classifying angles (acute, obtuse, right, reflex) to practice offline. It includes additional chapter-level practice questions.
Measuring and drawing angles with a protractor
SubtopicMeasuring and drawing angles with a protractor under Geometry for Grade 4 IGCSE.
Preview questions (no answers)
- 1.
If you add a angle and a angle, what kind of angle do they form together?
A.Acute
B.Right
C.Obtuse
D.Reflex
- 2.
Which angle is smaller than a right angle?
A.B.C.D. - 3.
An angle measures . Is this angle acute or obtuse?
A.Acute
B.Obtuse
C.Neither
D.Both
- 4.
When using a protractor, what part of the tool should be placed exactly on the vertex of the angle?
A.The outer edge
B.The mark
C.The center point (crosshair)
D.The mark
- 5.
Two angles are complementary (they sum to ). If one is , what is the other?
A.B.C.D. - 6.
What is the angle in the diagram?
A.B.C.D. - 7.
If an isosceles triangle has two angles of each, what is the third angle?
A.B.C.D. - 8.
A student is asked to draw a reflex angle of . Since their protractor only goes up to , they decide to draw an angle and then look at the 'outside' part. What size obtuse or acute angle should they draw to leave on the outside?
A.B.C.D. - 9.
An equilateral triangle has all angles equal. If you place a protractor on one vertex, what measurement will the second side align with on a scale starting at ?
A.B.C.D. - 10.
A kite's frame has two sticks that cross. If the top angle between the sticks is measured as , and the sticks are perpendicular to a crossbar, what would be the sum of the two adjacent angles created where the sticks meet?
A.B.C.D.
Download the worksheet for Geometry - Measuring and drawing angles with a protractor to practice offline. It includes additional chapter-level practice questions.
Lines of symmetry and reflection
SubtopicLines of symmetry and reflection under Geometry for Grade 4 IGCSE.
Preview questions (no answers)
- 1.
If you fold a paper along its line of symmetry, what happens to the two halves?
A.They overlap perfectly
B.They are different sizes
C.One half is bigger
D.They don't touch
- 2.
Which digit shown in the diagram has exactly one line of symmetry?
A.B.C.D. - 3.
Look at the butterfly shape. Which line represents its main line of symmetry?
A.Vertical line through the middle
B.Horizontal line across the wings
C.Diagonal line
D.There is no symmetry
- 4.
How many lines of symmetry does the regular pentagon have?
A.B.C.D. - 5.
If a shape is reflected across a vertical line, which property of the points remains the same?
A.The x-coordinate
B.The y-coordinate
C.The distance from the origin
D.The orientation
- 6.
A right-angled isosceles triangle is shown. How many lines of symmetry does it have?
A.B.C.D. - 7.
How many lines of symmetry does the parallelogram shown have?
A.B.C.D. - 8.
A mirror is placed along the line . A point is located at . After reflection across the mirror, point moves to . What is the distance between the original point and its reflected image ?
A.units
B.units
C.units
D.units
- 9.
An L-shaped block is placed on a grid with corners at , , , , , and . If this shape is reflected across the -axis (the line ), what will be the -coordinate of the image of the point ?
A.B.C.D. - 10.
A folding paper exercise asks a student to find all lines of symmetry for a regular pentagon. If the student draws lines from each vertex to the midpoint of the opposite side, how many lines of symmetry will they find?
A.B.C.D.
Download the worksheet for Geometry - Lines of symmetry and reflection to practice offline. It includes additional chapter-level practice questions.