Lines & Angles

14 Grade 5 Mathematics questions on Lines & Angles, with worked marking schemes. 14 questions are available on this topic in full.

1. Question 1

   1 mark

   Supplementary angles add up to ___.

   A. 360°

   B. 90°

   C. 180°

   D. 270°

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

2. Question 2

   1 mark

   What type of angle is 150°?

   A. Obtuse

   B. Acute

   C. Right

   D. Reflex

   (1 mark)

   Marking scheme

   A. Obtuse — an obtuse angle lies between $90^{\circ }$ and $180^{\circ }$, and $150^{\circ }$ is in that range. Reflex angles only begin above $180^{\circ }$.

3. Question 3

   1 mark

   Two angles lie next to each other on a straight line. If one angle is $115°$, what is the size of the other angle?

   A. $295°$

   B. $65°$

   C. $85°$

   D. $75°$

   (1 mark)

   Marking scheme

   B. $65°$ — angles on a straight line total $180^{\circ }$, so the other is $180-115=65$. A is $360-115$, using the full turn instead of the straight line.

4. Question 4

   1 mark

   An equilateral triangle has each angle equal to ___.

   A. 90°

   B. 30°

   C. 45°

   D. 60°

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

5. Question 5

   1 mark

   What type of angle is 90°?

   A. Reflex angle

   B. Obtuse angle

   C. Acute angle

   D. Right angle

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

6. Question 6

   1 mark

   Lines that never meet are called ___ lines.

   A. Perpendicular

   B. Intersecting

   C. Parallel

   D. Diagonal

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

7. Question 7

   1 mark

   Two angles of a triangle are 65° and 70°. Find the third angle.

   A. 55°

   B. 40°

   C. 35°

   D. 45°

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

8. Question 8

   1 mark

   What is the sum of angles in a triangle?

   A. 90°

   B. 270°

   C. 360°

   D. 180°

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

9. Question 9

   1 mark

   Find angle x if the angles on a straight line are 60°, 75° and x.

   A. 55°

   B. 35°

   C. 25°

   D. 45°

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

10. Question 10

    1 mark

    Complementary angles add up to ___.

    A. 90°

    B. 270°

    C. 180°

    D. 360°

    (1 mark)

    Marking scheme

    A. $90^{\circ }$ — complementary angles make a right angle. The pair that makes a straight line, $180^{\circ }$, is supplementary; the two words are easily swapped.

11. Question 11

    2 marks

    Two of the angles in a triangle are $50°$ and $60°$. Find the size of the third angle $x$.

    (2 marks)

    Marking scheme for this question

    Create a free account to see it

12. Question 12

    1 mark

    How many degrees are in a full turn?

    A. 90°

    B. 270°

    C. 180°

    D. 360°

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

13. Question 13

    1 mark

    A right-angled triangle has one angle of 90° and another of 37°. Find the third angle.

    A. 47°

    B. 53°

    C. 63°

    D. 43°

    (1 mark)

    Marking scheme

    B. $53^{\circ }$ — the angles of a triangle add up to $180^{\circ }$, and the right angle already uses $90$: $180-90-37=53$. A quicker route is that the two non-right angles must total $90^{\circ }$.

14. Question 14

    1 mark

    An angle less than 90° is called a ___ angle.

    A. Obtuse

    B. Right

    C. Reflex

    D. Acute

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

15. 10 more marking schemes are on this page. A free account opens all of them, and lets you build your own paper on the topics you have actually taught, laid out in KNEC format with its full marking scheme.

    Create a free account

More Grade 5 Mathematics topics