Unit 1
5 marks · HardOn a Cartesian plane, the points M(0, 3) and N(4, 3) are marked.
Consider the set Q = { square, pentagon, hexagon, triangle }.
Write down the coordinates of point M and point N.
Find the distance between M and N.
Write the set Q in set notation.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) M(0, 3), N(4, 3)
(b) 4
(c) Q = \{ \text{square}, \text{pentagon}, \text{hexagon}, \text{triangle} \}
Show mark scheme and worked solution
Marking points
B1 (a) · 1 mark · Both coordinates written correctly.
M1 (b) · 1 mark · Identifies the change in x-coordinates with y fixed.
A1 (b) · 1 mark · Distance calculated as 4 units.
M2 (c) · 1 mark · Uses correct set notation.
A2 (c) · 1 mark · All elements shown, in any order, with proper brackets and commas.
Worked solution
(a) The points are written as M(0, 3) and N(4, 3).
(b) The y-coordinates are the same; so the distance is the difference in x-values:
(c) Q in set notation is Q = { square, pentagon, hexagon, triangle }.