Lines & Angles

11 Grade 4 Mathematics questions on Lines & Angles, with worked marking schemes. 11 questions are available on this topic in full.

1. Question 1

   1 mark

   An angle greater than 180° but less than 360° is called a ___ angle.

   A. Reflex

   B. Acute

   C. Right

   D. Obtuse

   (1 mark)

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2. Question 2

   1 mark

   What is the sum of angles on a straight line?

   A. 180°

   B. 90°

   C. 360°

   D. 270°

   (1 mark)

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3. Question 3

   1 mark

   An angle that measures exactly $90^{\circ }$ is called which type of angle?

   A. Straight angle

   B. Acute angle

   C. Right angle

   D. Obtuse angle

   (1 mark)

   Marking scheme

   C. Right angle — exactly $90^{\circ }$ is a right angle. An obtuse angle is larger, an acute angle smaller, and a straight angle is $180^{\circ }$.

4. Question 4

   1 mark

   What type of angle is 120°?

   A. Acute

   B. Obtuse

   C. Reflex

   D. Right

   (1 mark)

   Marking scheme

   B. Obtuse — an obtuse angle lies between $90^{\circ }$ and $180^{\circ }$, and $120^{\circ }$ is in that range. Reflex angles only start above $180^{\circ }$.

5. Question 5

   1 mark

   A triangle with one angle greater than 90° is called ___.

   A. Obtuse-angled

   B. Acute-angled

   C. Right-angled

   D. Equilateral

   (1 mark)

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6. Question 6

   1 mark

   What type of angle is 45°?

   A. Right

   B. Obtuse

   C. Acute

   D. Reflex

   (1 mark)

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7. Question 7

   1 mark

   If one angle is 75°, what is the supplementary angle?

   A. 105°

   B. 95°

   C. 285°

   D. 15°

   (1 mark)

   Marking scheme

   A. $105^{\circ }$ — supplementary angles make a straight line, totalling $180^{\circ }$: $180-75=105$. D is the complementary angle, which uses $90^{\circ }$ instead.

8. Question 8

   1 mark

   Two angles of a triangle are 50° and 70°. What is the third angle?

   A. 70°

   B. 60°

   C. 80°

   D. 50°

   (1 mark)

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9. Question 9

   1 mark

   What kind of triangle has all three sides equal?

   A. Isosceles

   B. Equilateral

   C. Scalene

   D. Right-angled

   (1 mark)

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10. Question 10

    1 mark

    Lines that meet at a right angle are called ___ lines.

    A. Perpendicular

    B. Parallel

    C. Vertical

    D. Diagonal

    (1 mark)

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11. Question 11

    1 mark

    How many right angles are in a full turn?

    A. 1

    B. 2

    C. 3

    D. 4

    (1 mark)

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