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Geometry and Measurement

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Properties of Quadrilaterals and Polygons

Subtopic

Properties of Quadrilaterals and Polygons under Geometry and Measurement for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A regular polygon with 3 sides is also known as a/an:

    A.

    Isosceles triangle

    B.

    Right-angled triangle

    C.

    Equilateral triangle

    D.

    Scalene triangle

  2. 2.

    What is the exterior angle of a square?

    A.

    45∘45^\circ

    B.

    90∘90^\circ

    C.

    180∘180^\circ

    D.

    360∘360^\circ

  3. 3.

    Which statement is true for all parallelograms?

    A.

    Diagonals are equal

    B.

    Opposite sides are parallel

    C.

    All angles are 90∘90^\circ

    D.

    Diagonals are perpendicular

Download the worksheet for Geometry and Measurement - Properties of Quadrilaterals and Polygons to practice offline. It includes additional chapter-level practice questions.

Geometric Constructions

Subtopic

Geometric Constructions under Geometry and Measurement for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    To draw a line segment exactly 5 cm5 \text{ cm} long using a ruler, you mark the start at 00 and the end at:

    A.

    44

    B.

    55

    C.

    66

    D.

    1010

  2. 2.

    If you construct a 60∘60^\circ angle and its supplement, what is the measure of the supplement?

    A.

    30∘30^\circ

    B.

    90∘90^\circ

    C.

    120∘120^\circ

    D.

    300∘300^\circ

  3. 3.

    Which angle is formed by the intersection of the diagonals of a square?

    A.

    45∘45^\circ

    B.

    60∘60^\circ

    C.

    90∘90^\circ

    D.

    120∘120^\circ

Download the worksheet for Geometry and Measurement - Geometric Constructions to practice offline. It includes additional chapter-level practice questions.

Area of 2D Shapes (Trapeziums, Rhombuses, General Polygons)

Subtopic

Area of 2D Shapes (Trapeziums, Rhombuses, General Polygons) under Geometry and Measurement for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A large square with a side length of 5 cm5\text{ cm} has a small square of side 2 cm2\text{ cm} removed from its center. What is the area of the remaining shape?

    A.

    21 cm221\text{ cm}^2

    B.

    23 cm223\text{ cm}^2

    C.

    3 cm23\text{ cm}^2

    D.

    29 cm229\text{ cm}^2

  2. 2.

    A kite has diagonals measuring 22 cm22\text{ cm} and 10 cm10\text{ cm}. Calculate its area.

    A.

    220 cm2220\text{ cm}^2

    B.

    110 cm2110\text{ cm}^2

    C.

    32 cm232\text{ cm}^2

    D.

    64 cm264\text{ cm}^2

  3. 3.

    A rhombus has diagonals of 1.5 mm1.5\text{ mm} and 4 mm4\text{ mm}. What is the area?

    A.

    6 mm26\text{ mm}^2

    B.

    3 mm23\text{ mm}^2

    C.

    5.5 mm25.5\text{ mm}^2

    D.

    2.5 mm22.5\text{ mm}^2

Download the worksheet for Geometry and Measurement - Area of 2D Shapes (Trapeziums, Rhombuses, General Polygons) to practice offline. It includes additional chapter-level practice questions.

Surface Area and Volume of 3D Shapes (Cubes, Cuboids, Cylinders)

Subtopic

Surface Area and Volume of 3D Shapes (Cubes, Cuboids, Cylinders) under Geometry and Measurement for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the total surface area of a cube with a side length of 2.5 cm2.5 \text{ cm}?

    A.

    37.5 cm237.5 \text{ cm}^2

    B.

    15.625 cm215.625 \text{ cm}^2

    C.

    15 cm215 \text{ cm}^2

    D.

    31.25 cm231.25 \text{ cm}^2

  2. 2.

    Find the total surface area of a cuboid that is 10 cm10 \text{ cm} by 1 cm1 \text{ cm} by 1 cm1 \text{ cm}.

    A.

    10 cm210 \text{ cm}^2

    B.

    42 cm242 \text{ cm}^2

    C.

    22 cm222 \text{ cm}^2

    D.

    40 cm240 \text{ cm}^2

  3. 3.

    Calculate the volume of a cylinder with radius 1 cm1 \text{ cm} and height 20 cm20 \text{ cm} in terms of π\pi.

    A.

    20π cm320\pi \text{ cm}^3

    B.

    10π cm310\pi \text{ cm}^3

    C.

    40π cm340\pi \text{ cm}^3

    D.

    21π cm321\pi \text{ cm}^3

Download the worksheet for Geometry and Measurement - Surface Area and Volume of 3D Shapes (Cubes, Cuboids, Cylinders) to practice offline. It includes additional chapter-level practice questions.

The Pythagorean Theorem and its Converse

Subtopic

The Pythagorean Theorem and its Converse under Geometry and Measurement for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the value of cc if a=8a=8 and b=6b=6 in a right triangle?

    A.

    1414

    B.

    1010

    C.

    100100

    D.

    22

  2. 2.

    The hypotenuse of a right triangle is the:

    A.

    Shortest side

    B.

    Side adjacent to the right angle

    C.

    Longest side

    D.

    Side with length a2a^2

  3. 3.

    If a triangle has sides 1.51.5, 22, and 2.52.5, it is a right triangle. This is an application of:

    A.

    Pythagorean Theorem

    B.

    Converse of the Pythagorean Theorem

    C.

    Area of a triangle

    D.

    Perimeter of a triangle

Download the worksheet for Geometry and Measurement - The Pythagorean Theorem and its Converse to practice offline. It includes additional chapter-level practice questions.

Transformational Geometry (Translation, Reflection, Rotation)

Subtopic

Transformational Geometry (Translation, Reflection, Rotation) under Geometry and Measurement for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If point C(0,0)C(0, 0) is rotated 270∘270^\circ clockwise, what are its new coordinates?

    A.

    (0,0)(0, 0)

    B.

    (1,1)(1, 1)

    C.

    (−1,−1)(-1, -1)

    D.

    (0,1)(0, 1)

  2. 2.

    What is the order of rotational symmetry of a regular pentagon?

    A.

    1

    B.

    5

    C.

    10

    D.

    2

  3. 3.

    A point (7,3)(7, 3) is translated by the vector (−21)\begin{pmatrix} -2 \\ 1 \end{pmatrix}. The image is:

    A.

    (5,4)(5, 4)

    B.

    (9,2)(9, 2)

    C.

    (5,2)(5, 2)

    D.

    (9,4)(9, 4)

Download the worksheet for Geometry and Measurement - Transformational Geometry (Translation, Reflection, Rotation) to practice offline. It includes additional chapter-level practice questions.

Geometry and Measurement - Grade 8 Maths (IB) | Krit.club