iGCSE Mathematics (0580) - C4.1 Geometrical terms- Exam Style Questions Paper 1- New Syllabus
▶️ Answer/Explanation
The prism has 5 faces in total: two right-angled triangles (legs 3 cm and 4 cm, hypotenuse 5 cm) and three rectangles (\(4 \times 4\), \(3 \times 4\), and \(5 \times 4\)).
The given rectangle face should be attached to two further rectangles (in either order below it on the grid), and one right-angled \(3\text{-}4\text{-}5\) triangle should be drawn on each side of the given face.
✅ Answer: Fully correct net with two rectangles attached below the given face and a right-angled (3, 4, 5) triangle on each side
▶️ Answer/Explanation
(a)
To write a scale ratio, both quantities must be in the same units.
Convert \(12 \text{ km}\) into centimetres: \(12 \text{ km} = 12 \times 1000 \text{ m} = 12\,000 \text{ m} = 1\,200\,000 \text{ cm}\).
✅ Answer: \(1 : 1\,200\,000\)
(b)
The return bearing (back bearing) is found by adding \(180^{\circ}\) to the original bearing if it’s less than \(180^{\circ}\).
\(070^{\circ} + 180^{\circ} = 250^{\circ}\).
✅ Answer: \(250^{\circ}\)
▶️ Answer/Explanation
(a) Any kite drawn (4-sided shape with two distinct pairs of adjacent equal sides)
(b) Two correct properties of a rhombus:
- All sides are equal in length
- Opposite angles are equal
- Diagonals bisect each other at right angles
- Opposite sides are parallel
Note: Any two of the above properties would be correct.