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Thursday, January 1, 2026

Geometry: Shapes & Angles,polygons) GL ASSESSMENT QUESTIONS 11 plus exam part -5

Part 2: 100+ Practice Questions (GL Assessment Style)

Section 1: 2D Shapes & Polygons (30 Questions)

What is the name of a triangle with all sides different lengths?
A) Equilateral B) Isosceles C) Scalene D) Right-angled
How many lines of symmetry does a regular hexagon have?
A) 3 B) 4 C) 6 D) 8
A quadrilateral has exactly one pair of parallel sides. What is it called?
A) Parallelogram B) Rhombus C) Trapezium D) Kite
What is the sum of interior angles in a pentagon?
A) 360° B) 540° C) 720° D) 900°
A regular polygon has interior angles of 150°. How many sides does it have?
A) 8 B) 10 C) 12 D) 15
Which quadrilateral always has diagonals that bisect each other at right angles?
A) Rectangle B) Rhombus C) Parallelogram D) Trapezium
What is the size of each exterior angle of a regular nonagon?
A) 30° B) 40° C) 45° D) 50°
True or False: A square is a special type of rhombus.
An isosceles triangle has a vertex angle of 80°. What is the size of each base angle?
A) 40° B) 50° C) 60° D) 70°
How many diagonals does an octagon have?
A) 16 B) 20 C) 24 D) 28
Which shape has rotational symmetry of order 2 but only one line of symmetry?
A) Square B) Rectangle C) Rhombus D) Parallelogram
What type of triangle has angles 45°, 45°, and 90°?
A) Scalene right-angled B) Isosceles right-angled C) Equilateral D) Obtuse
The interior angles of a quadrilateral are in the ratio 1:2:3:4. What is the size of the largest angle?
A) 72° B) 96° C) 120° D) 144°
A regular polygon has an exterior angle of 24°. How many sides does it have?
A) 12 B) 15 C) 18 D) 20
Which statement is true for all parallelograms?
A) All angles are 90° B) All sides are equal C) Opposite sides are equal D) Diagonals are equal
What is the order of rotational symmetry of an equilateral triangle?
A) 1 B) 2 C) 3 D) 4
A heptagon has how many sides?
A) 5 B) 6 C) 7 D) 8
Three angles in a quadrilateral are 85°, 95°, and 110°. What is the fourth angle?
A) 60° B) 70° C) 80° D) 90°
True or False: Every rectangle is a parallelogram.
A kite has one angle of 120° and another of 50°. What could the other two angles be?
A) 120° and 50° B) 120° and 70° C) 95° and 95° D) 85° and 85°
What is the sum of exterior angles of any polygon?
A) 90° × n B) 180° C) 360° D) 540°
A polygon has 10 sides. What is the sum of its interior angles?
A) 1080° B) 1260° C) 1440° D) 1620°
Which shape has exactly two lines of symmetry?
A) Square B) Rectangle C) Rhombus D) Kite
An equilateral triangle has perimeter 24cm. What is its area?
A) 16√3 cm² B) 24 cm² C) 16 cm² D) 27.7 cm²
True or False: A trapezium can have two right angles.
What is the specific name for a quadrilateral with all sides equal and all angles 90°?
A regular polygon has interior angles of 162°. How many sides does it have?
The diagonals of which quadrilateral are always equal in length?
A) Rhombus B) Square C) Rectangle D) Both B and C
What is the size of one interior angle of a regular dodecagon (12 sides)?
A triangle has sides of 6cm, 8cm, and 10cm. What type of triangle is it?

Section 2: 3D Shapes (20 Questions)

How many faces does a triangular prism have?
A) 4 B) 5 C) 6 D) 8
A cube has:
A) 6 faces, 8 edges, 12 vertices
B) 6 faces, 12 edges, 8 vertices
C) 8 faces, 12 edges, 6 vertices
D) 12 faces, 8 edges, 6 vertices
What is the name of a 3D shape with 2 circular faces and 1 curved surface?
A) Cone B) Cylinder C) Sphere D) Prism
How many vertices does a square-based pyramid have?
A) 4 B) 5 C) 6 D) 8
A tetrahedron has how many triangular faces?
A) 3 B) 4 C) 5 D) 6
Which net will make a cube?
[Diagram showing different arrangements of 6 squares]
A cuboid has dimensions 5cm × 4cm × 3cm. What is its volume?
A) 12 cm³ B) 48 cm³ C) 60 cm³ D) 120 cm³
How many edges does a hexagonal prism have?
A) 12 B) 15 C) 18 D) 24
What shape are the faces of a dodecahedron?
A) Squares B) Pentagons C) Hexagons D) Triangles
True or False: A cone has 2 faces and 1 edge.
If you slice a cube parallel to one face, what shape is the cross-section?
A) Triangle B) Square C) Rectangle D) Hexagon
How many more edges does a cube have than a tetrahedron?
A) 4 B) 6 C) 8 D) 12
A cylinder has radius 7cm and height 10cm. What is its volume? (Use π = 22/7)
A) 1540 cm³ B) 154 cm³ C) 440 cm³ D) 15400 cm³
What is the surface area of a cube with side 5cm?
A) 25 cm² B) 100 cm² C) 125 cm² D) 150 cm²
Which shape has Euler's formula F + V = E + 2?
A) All polyhedra B) Only prisms C) Only pyramids D) Only cubes
How many rectangular faces does a triangular prism have?
What is the name of a prism with a pentagon as its cross-section?
A cube has volume 64 cm³. What is the length of one edge?
A) 2cm B) 4cm C) 8cm D) 16cm
True or False: A sphere has faces, edges, and vertices.
Which 3D shape has exactly one vertex?
A) Cube B) Cylinder C) Cone D) Sphere

Section 3: Angles & Angle Rules (30 Questions)

What type of angle is 125°?
A) Acute B) Obtuse C) Reflex D) Right
Angles on a straight line add up to:
A) 90° B) 180° C) 270° D) 360°
Two angles are supplementary. One is 75°. What is the other?
A) 15° B) 105° C) 115° D) 285°
In a triangle, angles are 2x, 3x, and 4x. What is the value of x?
A) 10° B) 20° C) 30° D) 40°
Vertically opposite angles are always:
A) Supplementary B) Complementary C) Equal D) Different
Find angle a in this triangle with angles 40° and 60°:
A) 60° B) 70° C) 80° D) 90°
Angles around a point add up to:
A) 90° B) 180° C) 270° D) 360°
In a right-angled triangle, the two acute angles are:
A) Supplementary B) Complementary C) Equal D) Both 45°
One angle of an isosceles triangle is 100°. What are the other two angles?
A) 40° each B) 50° each C) 80° each D) 90° and 10°
Two parallel lines are crossed by a transversal. Corresponding angles are:
A) Equal B) Supplementary C) Complementary D) None of these
Calculate the reflex angle if the acute angle is 35°:
A) 35° B) 145° C) 215° D) 325°
In quadrilateral PQRS, angle P = 80°, Q = 100°, R = 120°. Find angle S:
A) 40° B) 50° C) 60° D) 70°
Angles x and 3x are on a straight line. What is x?
A) 30° B) 45° C) 60° D) 90°
True or False: An obtuse angle is between 90° and 180°.
One angle of a parallelogram is 70°. What are the other angles?
A) 70°, 110°, 110° B) 70°, 70°, 110° C) 70°, 120°, 110° D) 70°, 100°, 100°
Find the missing angle in this triangle: 35°, 45°, ?
A) 80° B) 90° C) 100° D) 110°
Two angles are complementary. Their difference is 20°. What is the larger angle?
A) 35° B) 45° C) 55° D) 65°
In a regular pentagon, what is each interior angle?
A) 72° B) 108° C) 120° D) 135°
Angles a, b, c are around a point. If a = 110°, b = 95°, find c:
A) 115° B) 125° C) 135° D) 155°
Alternate angles formed by parallel lines are:
A) Equal B) Supplementary C) Complementary D) Vertically opposite
A triangle cannot have:
A) Two acute angles B) Two obtuse angles C) One right angle D) Three acute angles
Calculate the third angle in a triangle with angles 55° and 65°:
A) 50° B) 60° C) 70° D) 80°
True or False: A quadrilateral can have all four angles obtuse.
The exterior angle of a triangle equals:
A) Sum of two interior angles B) Sum of all interior angles C) Sum of two opposite interior angles D) 180° minus one interior angle
Find angle x if angles are 2x, 3x, and 5x in a triangle:
A) 18° B) 30° C) 36° D) 45°
Co-interior angles between parallel lines sum to:
A) 90° B) 180° C) 270° D) 360°
One angle of a rhombus is 50°. What is the adjacent angle?
A) 40° B) 50° C) 130° D) 140°
How many degrees are there in a full turn?
A) 90° B) 180° C) 270° D) 360°
The supplement of 45° is:
A) 45° B) 90° C) 135° D) 180°
In a trapezium with one pair of parallel sides, two angles on the same side are:
A) Equal B) Supplementary C) Complementary D) Vertically opposite

Section 4: Symmetry & Coordinates (20 Questions)

What is the order of rotational symmetry of a square?
A) 1 B) 2 C) 3 D) 4
Point A has coordinates (3, 4). What are the coordinates of its reflection in the y-axis?
A) (-3, 4) B) (3, -4) C) (-3, -4) D) (4, 3)
Which shape has infinite lines of symmetry?
A) Square B) Circle C) Equilateral triangle D) Regular hexagon
The point (0, 0) is called:
A) Origin B) Axis C) Vertex D) Midpoint
What is the line symmetry of the letter H?
A) 1 B) 2 C) 3 D) 4
Rotate point (2, 3) 90° clockwise about the origin. What are the new coordinates?
A) (3, -2) B) (-3, 2) C) (3, 2) D) (-2, 3)
Which quadrilateral has no lines of symmetry?
A) Square B) Rectangle C) Parallelogram (general) D) Rhombus
Point P is (5, 2). Point Q is (9, 2). What is the length PQ?
A) 2 B) 4 C) 6 D) 8
True or False: A scalene triangle has no rotational symmetry.
Midpoint of (2, 4) and (6, 8) is:
A) (3, 4) B) (4, 6) C) (4, 4) D) (6, 4)
Which shape has rotational symmetry order 3?
A) Square B) Equilateral triangle C) Rectangle D) Regular pentagon
Point in Quadrant III has coordinates:
A) (+, +) B) (-, +) C) (-, -) D) (+, -)
How many lines of symmetry does a regular octagon have?
A) 4 B) 6 C) 8 D) 10
Reflect point (4, -1) in the x-axis:
A) (4, 1) B) (-4, 1) C) (-4, -1) D) (4, -1)
Which letter has rotational symmetry order 2?
A) A B) H C) N D) S
Distance between (1, 1) and (4, 5) is:
A) 3 B) 4 C) 5 D) 6
True or False: A kite always has exactly one line of symmetry.
What is the order of rotational symmetry of the letter Z?
A) 0 B) 1 C) 2 D) 4
Point R is 3 units right and 2 units down from point (1, 5). What are its coordinates?
A) (4, 3) B) (4, 7) C) (-2, 3) D) (-2, 7)
Which transformation changes (x, y) to (x, -y)?
A) Reflection in x-axis B) Reflection in y-axis C) 90° rotation D) Translation

Part 3: 10 Previous Year GL Assessment Questions

Question 1: The diagram shows two parallel lines crossed by a transversal. One angle is marked 65°. What is the size of angle x?
[Diagram showing parallel lines with 65° angle and angle x marked as corresponding]
A) 65° B) 115° C) 125° D) 180°

Question 2: Which 3D shape has exactly 5 faces, 8 edges, and 5 vertices?
A) Cube B) Cuboid C) Square-based pyramid D) Triangular prism

Question 3: A regular polygon has interior angles of 135°. How many sides does it have?
A) 6 B) 8 C) 10 D) 12

Question 4: *Point P has coordinates (3, -2). In which quadrant is it located?*
A) Quadrant I B) Quadrant II C) Quadrant III D) Quadrant IV

Question 5: The net of a 3D shape is shown. When folded, which shape does it make?
[Net showing 6 squares in a cross shape]
A) Cube B) Cuboid C) Square-based pyramid D) Tetrahedron

Question 6: In an isosceles triangle, the vertex angle is 40°. What is the size of each base angle?
A) 40° B) 60° C) 70° D) 80°

Question 7: Which quadrilateral always has diagonals that are equal in length?
A) Rhombus B) Kite C) Parallelogram D) Rectangle

Question 8: Angles around a point are 85°, 95°, 120°, and x. What is the value of x?
A) 50° B) 60° C) 70° D) 80°

Question 9: How many lines of symmetry does a regular pentagon have?
A) 3 B) 4 C) 5 D) 6

Question 10: A cube has volume 125 cm³. What is the surface area of one face?
A) 5 cm² B) 25 cm² C) 100 cm² D) 150 cm²

Part 4: Answer Key & Detailed Solutions

Section 1 Solutions:

C) Scalene
C) 6
C) Trapezium
B) 540° ((5-2)×180 = 3×180)
C) 12 (Interior 150°, exterior = 30°, sides = 360÷30 = 12)
B) Rhombus
B) 40° (360÷9 = 40°)
True (A square has all properties of a rhombus plus right angles)
B) 50° ((180-80)÷2 = 50°)
B) 20 (n(n-3)/2 = 8×5/2 = 20)
B) Rectangle
B) Isosceles right-angled
D) 144° (1+2+3+4=10 parts, 360÷10=36 per part, largest=4×36=144°)
B) 15 (360÷24 = 15)
C) Opposite sides are equal
C) 3
C) 7
B) 70° (360-(85+95+110)=70°)
True
C) 95° and 95° (Sum of angles=360, remaining sum=190°, in kite two angles are equal)
C) 360°
C) 1440° ((10-2)×180=8×180)
C) Rhombus
D) 27.7 cm² (side=8cm, area=(√3/4)×64=16√3≈27.7)
True
Square
20 (Interior=162°, exterior=18°, sides=360÷18=20)
D) Both B and C
150° ((12-2)×180÷12=10×180÷12=150)
Right-angled (6²+8²=10²)

Section 2 Solutions:

B) 5
B) 6 faces, 12 edges, 8 vertices
B) Cylinder
B) 5
B) 4
[The "T" shape net cannot make a cube; cross shape can]
C) 60 cm³ (5×4×3)
C) 18
B) Pentagons
True (1 circular face, 1 curved face, 1 circular edge)
B) Square
B) 6 (Cube:12 edges, Tetrahedron:6 edges, difference=6)
A) 1540 cm³ (πr²h=(22/7)×49×10=1540)
D) 150 cm² (6×5²=6×25)
A) All polyhedra
3
Pentagonal prism
B) 4cm (∛64=4)
False (Sphere has none)
C) Cone

Section 3 Solutions:

B) Obtuse
B) 180°
B) 105° (180-75)
B) 20° (2x+3x+4x=180, 9x=180, x=20)
C) Equal
C) 80° (180-(40+60)=80)
D) 360°
B) Complementary (sum to 90°)
A) 40° each (180-100=80, 80÷2=40)
A) Equal
D) 325° (360-35)
C) 60° (360-(80+100+120)=60)
B) 45° (x+3x=180, 4x=180, x=45)
True
A) 70°, 110°, 110° (Adjacent angles supplementary)
C) 100° (180-(35+45)=100)
C) 55° (x+y=90, x-y=20, solving: 2x=110, x=55)
B) 108° ((5-2)×180÷5=3×180÷5=108)
D) 155° (360-(110+95)=155)
A) Equal
B) Two obtuse angles (sum would exceed 180°)
B) 60° (180-(55+65)=60)
False (Sum would exceed 360°)
C) Sum of two opposite interior angles
A) 18° (2x+3x+5x=180, 10x=180, x=18)
B) 180°
C) 130° (Adjacent angles supplementary in rhombus)
D) 360°
C) 135° (180-45)
B) Supplementary

Section 4 Solutions:

D) 4
A) (-3, 4)
B) Circle
A) Origin
B) 2 (horizontal and vertical)
A) (3, -2)
C) Parallelogram (general)
B) 4 (9-5=4)
True
B) (4, 6) ((2+6)/2=4, (4+8)/2=6)
B) Equilateral triangle
C) (-, -)
C) 8
A) (4, 1)
C) N (also H, I, O, S, X, Z)
C) 5 (√[(4-1)²+(5-1)²]=√[9+16]=√25=5)
False (A kite can have 2 lines if it's a rhombus)
C) 2 (rotational symmetry of 180°)
A) (4, 3) (1+3=4, 5-2=3)
A) Reflection in x-axis

10 GL Assessment Questions Solutions:

A) 65° (Corresponding angles are equal with parallel lines)
C) Square-based pyramid (5 faces: 1 square + 4 triangles, 8 edges, 5 vertices)
B) 8 (Interior=135°, exterior=45°, sides=360÷45=8)
D) Quadrant IV (x positive, y negative)
A) Cube (The cross-shaped net of 6 squares folds to make a cube)
C) 70° ((180-40)÷2=140÷2=70)
D) Rectangle (Both square and rectangle have equal diagonals)
B) 60° (360-(85+95+120)=60)
C) 5 (Regular pentagon has 5 lines of symmetry)
B) 25 cm² (Side = ∛125=5cm, face area=5×5=25 cm²)

Part 5: Key Revision Tips

Memorize these formulas:
- Sum of interior angles = (n-2) × 180°
- Each interior angle (regular) = (n-2) × 180° ÷ n
- Sum of exterior angles = 360° (always!)
- Each exterior angle (regular) = 360° ÷ n
Angle rules to know by heart:
- Straight line = 180°
- Point = 360°
- Triangle = 180°
- Quadrilateral = 360°
Symmetry facts:
- Square: 4 lines, order 4
- Rectangle: 2 lines, order 2
- Rhombus: 2 lines, order 2
- Equilateral triangle: 3 lines, order 3
- Regular pentagon: 5 lines, order 5
3D shapes vocabulary:
- Face: Flat surface
- Edge: Where two faces meet
- Vertex: Corner point
- Euler's Formula: F + V = E + 2
Practice with nets: Visualize how 2D nets fold into 3D shapes.
Coordinate rules:
- Reflection in x-axis: (x, y) → (x, -y)
- Reflection in y-axis: (x, y) → (-x, y)
- Rotation 90° clockwise: (x, y) → (y, -x)

Remember: Draw diagrams whenever possible. Label angles clearly. Check your answers by making sure angle sums are correct. Practice identifying shapes from different orientations.

Geometry: Shapes & Angles,polygons) GL ASSESSMENT QUESTIONS 11 plus exam part -4

Part 2: 100+ Practice Questions (GL Assessment Style)

Section 1: 2D Shapes & Polygons (30 Questions)

What is the name of a triangle with all sides different lengths?
A) Equilateral B) Isosceles C) Scalene D) Right-angled
How many lines of symmetry does a regular hexagon have?
A) 3 B) 4 C) 6 D) 8
A quadrilateral has exactly one pair of parallel sides. What is it called?
A) Parallelogram B) Rhombus C) Trapezium D) Kite
What is the sum of interior angles in a pentagon?
A) 360° B) 540° C) 720° D) 900°
A regular polygon has interior angles of 150°. How many sides does it have?
A) 8 B) 10 C) 12 D) 15
Which quadrilateral always has diagonals that bisect each other at right angles?
A) Rectangle B) Rhombus C) Parallelogram D) Trapezium
What is the size of each exterior angle of a regular nonagon?
A) 30° B) 40° C) 45° D) 50°
True or False: A square is a special type of rhombus.
An isosceles triangle has a vertex angle of 80°. What is the size of each base angle?
A) 40° B) 50° C) 60° D) 70°
How many diagonals does an octagon have?
A) 16 B) 20 C) 24 D) 28
Which shape has rotational symmetry of order 2 but only one line of symmetry?
A) Square B) Rectangle C) Rhombus D) Parallelogram
What type of triangle has angles 45°, 45°, and 90°?
A) Scalene right-angled B) Isosceles right-angled C) Equilateral D) Obtuse
The interior angles of a quadrilateral are in the ratio 1:2:3:4. What is the size of the largest angle?
A) 72° B) 96° C) 120° D) 144°
A regular polygon has an exterior angle of 24°. How many sides does it have?
A) 12 B) 15 C) 18 D) 20
Which statement is true for all parallelograms?
A) All angles are 90° B) All sides are equal C) Opposite sides are equal D) Diagonals are equal
What is the order of rotational symmetry of an equilateral triangle?
A) 1 B) 2 C) 3 D) 4
A heptagon has how many sides?
A) 5 B) 6 C) 7 D) 8
Three angles in a quadrilateral are 85°, 95°, and 110°. What is the fourth angle?
A) 60° B) 70° C) 80° D) 90°
True or False: Every rectangle is a parallelogram.
A kite has one angle of 120° and another of 50°. What could the other two angles be?
A) 120° and 50° B) 120° and 70° C) 95° and 95° D) 85° and 85°
What is the sum of exterior angles of any polygon?
A) 90° × n B) 180° C) 360° D) 540°
A polygon has 10 sides. What is the sum of its interior angles?
A) 1080° B) 1260° C) 1440° D) 1620°
Which shape has exactly two lines of symmetry?
A) Square B) Rectangle C) Rhombus D) Kite
An equilateral triangle has perimeter 24cm. What is its area?
A) 16√3 cm² B) 24 cm² C) 16 cm² D) 27.7 cm²
True or False: A trapezium can have two right angles.
What is the specific name for a quadrilateral with all sides equal and all angles 90°?
A regular polygon has interior angles of 162°. How many sides does it have?
The diagonals of which quadrilateral are always equal in length?
A) Rhombus B) Square C) Rectangle D) Both B and C
What is the size of one interior angle of a regular dodecagon (12 sides)?
A triangle has sides of 6cm, 8cm, and 10cm. What type of triangle is it?

Section 2: 3D Shapes (20 Questions)

How many faces does a triangular prism have?
A) 4 B) 5 C) 6 D) 8
A cube has:
A) 6 faces, 8 edges, 12 vertices
B) 6 faces, 12 edges, 8 vertices
C) 8 faces, 12 edges, 6 vertices
D) 12 faces, 8 edges, 6 vertices
What is the name of a 3D shape with 2 circular faces and 1 curved surface?
A) Cone B) Cylinder C) Sphere D) Prism
How many vertices does a square-based pyramid have?
A) 4 B) 5 C) 6 D) 8
A tetrahedron has how many triangular faces?
A) 3 B) 4 C) 5 D) 6
Which net will make a cube?
[Diagram showing different arrangements of 6 squares]
A cuboid has dimensions 5cm × 4cm × 3cm. What is its volume?
A) 12 cm³ B) 48 cm³ C) 60 cm³ D) 120 cm³
How many edges does a hexagonal prism have?
A) 12 B) 15 C) 18 D) 24
What shape are the faces of a dodecahedron?
A) Squares B) Pentagons C) Hexagons D) Triangles
True or False: A cone has 2 faces and 1 edge.
If you slice a cube parallel to one face, what shape is the cross-section?
A) Triangle B) Square C) Rectangle D) Hexagon
How many more edges does a cube have than a tetrahedron?
A) 4 B) 6 C) 8 D) 12
A cylinder has radius 7cm and height 10cm. What is its volume? (Use π = 22/7)
A) 1540 cm³ B) 154 cm³ C) 440 cm³ D) 15400 cm³
What is the surface area of a cube with side 5cm?
A) 25 cm² B) 100 cm² C) 125 cm² D) 150 cm²
Which shape has Euler's formula F + V = E + 2?
A) All polyhedra B) Only prisms C) Only pyramids D) Only cubes
How many rectangular faces does a triangular prism have?
What is the name of a prism with a pentagon as its cross-section?
A cube has volume 64 cm³. What is the length of one edge?
A) 2cm B) 4cm C) 8cm D) 16cm
True or False: A sphere has faces, edges, and vertices.
Which 3D shape has exactly one vertex?
A) Cube B) Cylinder C) Cone D) Sphere

Section 3: Angles & Angle Rules (30 Questions)

What type of angle is 125°?
A) Acute B) Obtuse C) Reflex D) Right
Angles on a straight line add up to:
A) 90° B) 180° C) 270° D) 360°
Two angles are supplementary. One is 75°. What is the other?
A) 15° B) 105° C) 115° D) 285°
In a triangle, angles are 2x, 3x, and 4x. What is the value of x?
A) 10° B) 20° C) 30° D) 40°
Vertically opposite angles are always:
A) Supplementary B) Complementary C) Equal D) Different
Find angle a in this triangle with angles 40° and 60°:
A) 60° B) 70° C) 80° D) 90°
Angles around a point add up to:
A) 90° B) 180° C) 270° D) 360°
In a right-angled triangle, the two acute angles are:
A) Supplementary B) Complementary C) Equal D) Both 45°
One angle of an isosceles triangle is 100°. What are the other two angles?
A) 40° each B) 50° each C) 80° each D) 90° and 10°
Two parallel lines are crossed by a transversal. Corresponding angles are:
A) Equal B) Supplementary C) Complementary D) None of these
Calculate the reflex angle if the acute angle is 35°:
A) 35° B) 145° C) 215° D) 325°
In quadrilateral PQRS, angle P = 80°, Q = 100°, R = 120°. Find angle S:
A) 40° B) 50° C) 60° D) 70°
Angles x and 3x are on a straight line. What is x?
A) 30° B) 45° C) 60° D) 90°
True or False: An obtuse angle is between 90° and 180°.
One angle of a parallelogram is 70°. What are the other angles?
A) 70°, 110°, 110° B) 70°, 70°, 110° C) 70°, 120°, 110° D) 70°, 100°, 100°
Find the missing angle in this triangle: 35°, 45°, ?
A) 80° B) 90° C) 100° D) 110°
Two angles are complementary. Their difference is 20°. What is the larger angle?
A) 35° B) 45° C) 55° D) 65°
In a regular pentagon, what is each interior angle?
A) 72° B) 108° C) 120° D) 135°
Angles a, b, c are around a point. If a = 110°, b = 95°, find c:
A) 115° B) 125° C) 135° D) 155°
Alternate angles formed by parallel lines are:
A) Equal B) Supplementary C) Complementary D) Vertically opposite
A triangle cannot have:
A) Two acute angles B) Two obtuse angles C) One right angle D) Three acute angles
Calculate the third angle in a triangle with angles 55° and 65°:
A) 50° B) 60° C) 70° D) 80°
True or False: A quadrilateral can have all four angles obtuse.
The exterior angle of a triangle equals:
A) Sum of two interior angles B) Sum of all interior angles C) Sum of two opposite interior angles D) 180° minus one interior angle
Find angle x if angles are 2x, 3x, and 5x in a triangle:
A) 18° B) 30° C) 36° D) 45°
Co-interior angles between parallel lines sum to:
A) 90° B) 180° C) 270° D) 360°
One angle of a rhombus is 50°. What is the adjacent angle?
A) 40° B) 50° C) 130° D) 140°
How many degrees are there in a full turn?
A) 90° B) 180° C) 270° D) 360°
The supplement of 45° is:
A) 45° B) 90° C) 135° D) 180°
In a trapezium with one pair of parallel sides, two angles on the same side are:
A) Equal B) Supplementary C) Complementary D) Vertically opposite

Section 4: Symmetry & Coordinates (20 Questions)

What is the order of rotational symmetry of a square?
A) 1 B) 2 C) 3 D) 4
Point A has coordinates (3, 4). What are the coordinates of its reflection in the y-axis?
A) (-3, 4) B) (3, -4) C) (-3, -4) D) (4, 3)
Which shape has infinite lines of symmetry?
A) Square B) Circle C) Equilateral triangle D) Regular hexagon
The point (0, 0) is called:
A) Origin B) Axis C) Vertex D) Midpoint
What is the line symmetry of the letter H?
A) 1 B) 2 C) 3 D) 4
Rotate point (2, 3) 90° clockwise about the origin. What are the new coordinates?
A) (3, -2) B) (-3, 2) C) (3, 2) D) (-2, 3)
Which quadrilateral has no lines of symmetry?
A) Square B) Rectangle C) Parallelogram (general) D) Rhombus
Point P is (5, 2). Point Q is (9, 2). What is the length PQ?
A) 2 B) 4 C) 6 D) 8
True or False: A scalene triangle has no rotational symmetry.
Midpoint of (2, 4) and (6, 8) is:
A) (3, 4) B) (4, 6) C) (4, 4) D) (6, 4)
Which shape has rotational symmetry order 3?
A) Square B) Equilateral triangle C) Rectangle D) Regular pentagon
Point in Quadrant III has coordinates:
A) (+, +) B) (-, +) C) (-, -) D) (+, -)
How many lines of symmetry does a regular octagon have?
A) 4 B) 6 C) 8 D) 10
Reflect point (4, -1) in the x-axis:
A) (4, 1) B) (-4, 1) C) (-4, -1) D) (4, -1)
Which letter has rotational symmetry order 2?
A) A B) H C) N D) S
Distance between (1, 1) and (4, 5) is:
A) 3 B) 4 C) 5 D) 6
True or False: A kite always has exactly one line of symmetry.
What is the order of rotational symmetry of the letter Z?
A) 0 B) 1 C) 2 D) 4
Point R is 3 units right and 2 units down from point (1, 5). What are its coordinates?
A) (4, 3) B) (4, 7) C) (-2, 3) D) (-2, 7)
Which transformation changes (x, y) to (x, -y)?
A) Reflection in x-axis B) Reflection in y-axis C) 90° rotation D) Translation