Numeracy Foundation June 2025 Unit 2 Q1
1. Emma and Nathan play a game on a coordinate grid.
Emma uses crosses and Nathan uses circles.
Emma goes first.
To win the game, a player must get 4 crosses or 4 circles together in a line.
The line can be horizontal, vertical or diagonal.
The grid below shows the positions of their crosses and circles after 5 turns each.
(a)
It is Emma’s turn to put a cross on the coordinate grid.
Write down the coordinates of the 3 points where Emma could put a cross to win the game. [2]
(……………, ……………) and (……………, ……………) and (……………, ……………)
(b)
Unfortunately, Emma did not win the game on her next turn.
What is the chance of Nathan winning on his next turn?
Circle your answer. [1]
impossible unlikely even chance likely certain
| Scheme | Mark | Comments |
|---|---|---|
| (3, 2) and (3, 6) and (5, 3) | B2 | Answer space takes precedence The 3 sets of coordinates can be in any order but not reversed. Award B1 for the coordinates of 1 or 2 correct points. Award B1 if all 3 correct coordinates (not reversed) with x and/or y included e.g. (3x, 2y) and (3x, 6y) and (5x, 3y) Award SC1 for all 3 coordinates reversed i.e. (2, 3) and (6, 3) and (3, 5) |
| Scheme | Mark | Comments |
|---|---|---|
| Impossible | B1 |