CIE iGCSE Maths E3.1 Coordinates Exam Style Practice Questions- Paper 2

Question

By shading the unwanted regions of the grid, draw and label the region R which satisfies these inequalities:

$y > 1$

$x \leq 2$

$y \geq x + 2$

▶️ Answer/Explanation

Solution

Ans:

1. Draw dashed line y=1 (since y>1)

2. Draw solid line x=2 (since x≤2)

3. Draw solid line y=x+2 (since y≥x+2)

4. Shade the region above y=1, to the left of x=2, and above y=x+2

5. The intersection of these conditions gives the required region R

Question

The diagram shows a rectangle with a line of symmetry at x = 2. Two vertices of the rectangle are at (-1, 1) and (-1, 4). The shaded region is defined by the inequalities $a\leq x\leq b$ and $c\leq y\leq d.$

Find the values of a, b, c and d.

▶️ Answer/Explanation

Answer: a = -1, b = 5, c = 1, d = 4

1) The x-values mirror across x=2: -1 is 3 units left, so opposite vertex is 3 units right (5).
2) y-values remain same as given points (1 and 4).

CIE iGCSE Maths E3.1 Coordinates Exam Style Practice Questions- Paper 2

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