krit.club logo

Geometry and Measurement

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

Angles on a Line, at a Point, and in Triangles

Subtopic

Angles on a Line, at a Point, and in Triangles under Geometry and Measurement for Grade 7 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Five identical angles meet at a point on one side of a straight line. What is the measure of each angle?

    A.

    36∘36^{\circ}

    B.

    72∘72^{\circ}

    C.

    45∘45^{\circ}

    D.

    30∘30^{\circ}

  2. 2.

    In an isosceles triangle, the vertex angle is 30∘30^{\circ}. Calculate the measure of each base angle.

    A.

    150∘150^{\circ}

    B.

    75∘75^{\circ}

    C.

    60∘60^{\circ}

    D.

    30∘30^{\circ}

  3. 3.

    Three angles at a point are in the ratio 1:2:31:2:3. What is the size of the smallest angle?

    A.

    30∘30^{\circ}

    B.

    90∘90^{\circ}

    C.

    60∘60^{\circ}

    D.

    120∘120^{\circ}

Download the worksheet for Geometry and Measurement - Angles on a Line, at a Point, and in Triangles to practice offline. It includes additional chapter-level practice questions.

Properties of Parallel and Perpendicular Lines

Subtopic

Properties of Parallel and Perpendicular Lines under Geometry and Measurement for Grade 7 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the supplement of a 100∘100^\circ angle?

    A.

    10∘10^\circ

    B.

    80∘80^\circ

    C.

    90∘90^\circ

    D.

    180∘180^\circ

  2. 2.

    In the capital letter 'E', how many of the horizontal line segments are parallel to each other?

    A.

    Zero

    B.

    Two

    C.

    Three

    D.

    Four

  3. 3.

    If two lines are drawn on a flat sheet of paper and they are not parallel, what must be true about them?

    A.

    They are perpendicular

    B.

    They will eventually intersect

    C.

    They are skew

    D.

    They are the same line

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

Properties of 2D Shapes (Triangles and Quadrilaterals)

Subtopic

Properties of 2D Shapes (Triangles and Quadrilaterals) under Geometry and Measurement for Grade 7 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of these shapes has the fewest number of sides?

    A.

    Rectangle

    B.

    Square

    C.

    Triangle

    D.

    Trapezium

  2. 2.

    How many degrees are in a right angle?

    A.

    45∘45^\circ

    B.

    90∘90^\circ

    C.

    180∘180^\circ

    D.

    360∘360^\circ

  3. 3.

    Every rhombus is also a:

    A.

    Square

    B.

    Rectangle

    C.

    Parallelogram

    D.

    Trapezium

Download the worksheet for Geometry and Measurement - Properties of 2D Shapes (Triangles and Quadrilaterals) to practice offline. It includes additional chapter-level practice questions.

Perimeter and Area of 2D Shapes including Circles

Subtopic

Perimeter and Area of 2D Shapes including Circles under Geometry and Measurement for Grade 7 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the perimeter of a regular octagon with a side length of 4 cm4\text{ cm}?

    A.

    24 cm24\text{ cm}

    B.

    32 cm32\text{ cm}

    C.

    40 cm40\text{ cm}

    D.

    16 cm16\text{ cm}

  2. 2.

    Find the area of a parallelogram with a base of 12 cm12\text{ cm} and a height of 2 cm2\text{ cm}.

    A.

    14 cm214\text{ cm}^2

    B.

    28 cm228\text{ cm}^2

    C.

    24 cm224\text{ cm}^2

    D.

    12 cm212\text{ cm}^2

  3. 3.

    Calculate the perimeter of a rectangle with a length of 11 cm11\text{ cm} and a width of 9 cm9\text{ cm}.

    A.

    20 cm20\text{ cm}

    B.

    40 cm40\text{ cm}

    C.

    99 cm99\text{ cm}

    D.

    22 cm22\text{ cm}

Download the worksheet for Geometry and Measurement - Perimeter and Area of 2D Shapes including Circles to practice offline. It includes additional chapter-level practice questions.

Volume and Surface Area of 3D Shapes (Prisms and Cylinders)

Subtopic

Volume and Surface Area of 3D Shapes (Prisms and Cylinders) under Geometry and Measurement for Grade 7 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the volume of a rectangular prism with length 88 cm, width 0.50.5 cm, and height 44 cm.

    A.

    16 cm316\text{ cm}^3

    B.

    32 cm332\text{ cm}^3

    C.

    4 cm34\text{ cm}^3

    D.

    64 cm364\text{ cm}^3

  2. 2.

    A triangular prism has a base area of 8 cm28\text{ cm}^2 and a volume of 56 cm356\text{ cm}^3. What is its length?

    A.

    7 cm7\text{ cm}

    B.

    8 cm8\text{ cm}

    C.

    9 cm9\text{ cm}

    D.

    448 cm448\text{ cm}

  3. 3.

    A cylinder has a radius of 11 cm and a height of 55 cm. What is its volume in terms of π\pi?

    A.

    1π cm31\pi\text{ cm}^3

    B.

    5π cm35\pi\text{ cm}^3

    C.

    10π cm310\pi\text{ cm}^3

    D.

    25π cm325\pi\text{ cm}^3

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

The Pythagorean Theorem

Subtopic

The Pythagorean Theorem under Geometry and Measurement for Grade 7 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Is a triangle with side lengths 1515, 3636, and 3939 a right triangle?

    A.

    Yes

    B.

    No

    C.

    Only if it is scalene

    D.

    Cannot be determined

  2. 2.

    What is the hypotenuse of a triangle with legs of 14 cm14\text{ cm} and 48 cm48\text{ cm}?

    A.

    50 cm50\text{ cm}

    B.

    62 cm62\text{ cm}

    C.

    34 cm34\text{ cm}

    D.

    2500 cm2500\text{ cm}

  3. 3.

    A right triangle has a hypotenuse of 2525 and a leg of 2020. Find the other leg.

    A.

    55

    B.

    1515

    C.

    4545

    D.

    225225

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

Geometric Transformations (Translation, Reflection, Rotation)

Subtopic

Geometric Transformations (Translation, Reflection, Rotation) under Geometry and Measurement for Grade 7 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Rotating (3,−2)(3, -2) by 180∘180^\circ about the origin gives:

    A.

    (−3,2)(-3, 2)

    B.

    (2,−3)(2, -3)

    C.

    (−2,3)(-2, 3)

    D.

    (3,2)(3, 2)

  2. 2.

    Reflecting a point twice across the same line results in:

    A.

    A translation

    B.

    A rotation

    C.

    The original point

    D.

    A point on the other side

  3. 3.

    If the translation vector is (hk)\begin{pmatrix} h \\ k \end{pmatrix}, and the image of (2,2)(2, 2) is (5,1)(5, 1), what are hh and kk?

    A.

    h=3,k=1h=3, k=1

    B.

    h=3,k=−1h=3, k=-1

    C.

    h=−3,k=1h=-3, k=1

    D.

    h=7,k=3h=7, k=3

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

Geometry and Measurement - Grade 7 Maths (IB) | Krit.club