krit.club logo

Geometry and Trigonometry

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

Coordinate geometry (distance, midpoint, gradient)

Subtopic

Coordinate geometry (distance, midpoint, gradient) under Geometry and Trigonometry for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the midpoint of the points (10,20)(10, 20) and (30,40)(30, 40).

    A.

    (20,30)(20, 30)

    B.

    (40,60)(40, 60)

    C.

    (15,25)(15, 25)

    D.

    (20,20)(20, 20)

  2. 2.

    Find the distance between the point (3,4)(3, 4) and the origin.

    A.

    77

    B.

    55

    C.

    7\sqrt{7}

    D.

    1212

  3. 3.

    Calculate the gradient of the line y−3=2(x−1)y - 3 = 2(x - 1).

    A.

    11

    B.

    33

    C.

    22

    D.

    −2-2

Download the worksheet for Geometry and Trigonometry - Coordinate geometry (distance, midpoint, gradient) to practice offline. It includes additional chapter-level practice questions.

Equation of a straight line

Subtopic

Equation of a straight line under Geometry and Trigonometry for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the xx-intercept of the line y=4x+8y = 4x + 8.

    A.

    22

    B.

    −2-2

    C.

    88

    D.

    −8-8

  2. 2.

    Which gradient is perpendicular to the line y=−x+2y = -x + 2?

    A.

    −1-1

    B.

    11

    C.

    00

    D.

    Undefined

  3. 3.

    A line with an undefined gradient must be:

    A.

    Horizontal

    B.

    Vertical

    C.

    Passing through the origin

    D.

    Parallel to y=xy = x

Download the worksheet for Geometry and Trigonometry - Equation of a straight line to practice offline. It includes additional chapter-level practice questions.

Right-angled trigonometry (SOH CAH TOA)

Subtopic

Right-angled trigonometry (SOH CAH TOA) under Geometry and Trigonometry for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In △PQR\triangle PQR, ∠Q=90∘\angle Q = 90^\circ, PR=10PR = 10, and ∠P=50∘\angle P = 50^\circ. What is the length of side QRQR?

    A.

    10cos⁡50∘10 \cos 50^\circ

    B.

    10sin⁡50∘10 \sin 50^\circ

    C.

    10tan⁡50∘10 \tan 50^\circ

    D.

    10sin⁡50∘\frac{10}{\sin 50^\circ}

  2. 2.

    If cos⁡x=12\cos x = \frac{1}{\sqrt{2}} and xx is acute, find xx.

    A.

    30∘30^\circ

    B.

    45∘45^\circ

    C.

    60∘60^\circ

    D.

    0∘0^\circ

  3. 3.

    In △ABC\triangle ABC, ∠B=90∘\angle B = 90^\circ, BC=6BC = 6, and AB=8AB = 8. What is the value of tan⁡A\tan A?

    A.

    0.750.75

    B.

    1.331.33

    C.

    0.60.6

    D.

    0.80.8

Download the worksheet for Geometry and Trigonometry - Right-angled trigonometry (SOH CAH TOA) to practice offline. It includes additional chapter-level practice questions.

Sine and Cosine rules

Subtopic

Sine and Cosine rules under Geometry and Trigonometry for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In △ABC\triangle ABC, B=50∘B = 50^\circ, C=60∘C = 60^\circ, and c=14c = 14. Find side bb.

    A.

    10.22

    B.

    13.45

    C.

    12.38

    D.

    11.11

  2. 2.

    Determine the area of △ABC\triangle ABC given b=6b = 6, c=8c = 8, and A=40∘A = 40^\circ.

    A.

    15.43

    B.

    18.22

    C.

    24.00

    D.

    12.35

  3. 3.

    For △ABC\triangle ABC with a=13a = 13, b=14b = 14, and c=15c = 15, find the measure of angle BB.

    A.

    53.13∘53.13^\circ

    B.

    59.49∘59.49^\circ

    C.

    67.38∘67.38^\circ

    D.

    60.00∘60.00^\circ

Download the worksheet for Geometry and Trigonometry - Sine and Cosine rules to practice offline. It includes additional chapter-level practice questions.

The unit circle and radian measure

Subtopic

The unit circle and radian measure under Geometry and Trigonometry for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of the following degree measures is equivalent to 00 radians?

    A.

    90∘90^\circ

    B.

    180∘180^\circ

    C.

    270∘270^\circ

    D.

    360∘360^\circ

  2. 2.

    How many radians are in a full circle?

    A.

    π\pi

    B.

    1.5π1.5\pi

    C.

    2π2\pi

    D.

    4π4\pi

  3. 3.

    What is the value of sin⁡(270∘)\sin(270^\circ) on the unit circle?

    A.

    00

    B.

    11

    C.

    −1-1

    D.

    undefined

Download the worksheet for Geometry and Trigonometry - The unit circle and radian measure to practice offline. It includes additional chapter-level practice questions.

Trigonometric identities and equations

Subtopic

Trigonometric identities and equations under Geometry and Trigonometry for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Calculate the value of sin⁡2(70∘)+cos⁡2(70∘)+tan⁡(45∘)\sin^2(70^\circ) + \cos^2(70^\circ) + \tan(45^\circ).

    A.

    1

    B.

    2

    C.

    0

    D.

    3

  2. 2.

    Simplify 2−2cos⁡2(15∘)2 - 2\cos^2(15^\circ).

    A.

    2sin⁡2(15∘)2\sin^2(15^\circ)

    B.

    2cos⁡2(15∘)2\cos^2(15^\circ)

    C.

    2

    D.

    0

  3. 3.

    If tan⁡(θ)=34\tan(\theta) = \frac{3}{4} and θ\theta is acute, find sin⁡(θ)\sin(\theta).

    A.

    35\frac{3}{5}

    B.

    45\frac{4}{5}

    C.

    37\frac{3}{7}

    D.

    43\frac{4}{3}

Download the worksheet for Geometry and Trigonometry - Trigonometric identities and equations to practice offline. It includes additional chapter-level practice questions.

Area and volume of 3D shapes

Subtopic

Area and volume of 3D shapes under Geometry and Trigonometry for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A pyramid has a base area of 2121 cm2^2 and a height of 1010 cm. What is its volume?

    A.

    7070 cm3^3

    B.

    210210 cm3^3

    C.

    105105 cm3^3

    D.

    3535 cm3^3

  2. 2.

    A rectangular prism has dimensions 22 cm by 88 cm by 55 cm. What is its volume?

    A.

    1515 cm3^3

    B.

    4040 cm3^3

    C.

    8080 cm3^3

    D.

    160160 cm3^3

  3. 3.

    What is the volume of a cube with side length 11 meter?

    A.

    11 m3^3

    B.

    33 m3^3

    C.

    66 m3^3

    D.

    0.50.5 m3^3

Download the worksheet for Geometry and Trigonometry - Area and volume of 3D shapes to practice offline. It includes additional chapter-level practice questions.