1. 1
   A rectangle has length 12 cm and width 7 cm.

   (a)

   What is its perimeter?

   [1 mark]

   • A$19$ cm
   • B$38$ cm
   • C$84$ cm
   • D$42$ cm

   (b)

   What is the area of this rectangle?

   [1 mark]

   • A$19\ \text{cm}^2$
   • B$38\ \text{cm}^2$
   • C$84\ \text{cm}^2$
   • D$144\ \text{cm}^2$

   (c)

   What is the area of the rectangle expressed in $\text{mm}^2$, given that $1\ \text{cm}^2 = 100\ \text{mm}^2$?

   [1 mark]

   • A$8400\ \text{mm}^2$
   • B$840\ \text{mm}^2$
   • C$84\,000\ \text{mm}^2$
   • D$8.4\ \text{mm}^2$

   Total for question 1: 3 marks

2. 2
   A triangle has a base of 10 cm and a perpendicular height of 6 cm.

   (a)

   Find its area.

   [2 marks]

   (b)

   A second triangle has an area of 45 $\text{cm}^2$ and a base of 15 cm. Find its perpendicular height.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A parallelogram has a base of 9 cm and a perpendicular height of 5 cm. A trapezium has parallel sides of 8 cm and 12 cm, with a perpendicular distance of 6 cm between them.

   (a)

   Find its area.

   [3 marks]

   (b)

   A trapezium has parallel sides of 8 cm and 12 cm, with a perpendicular distance of 6 cm between them. Find its area.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A garden is shaped like a rectangle measuring 14 m by 9 m, with a right-angled triangular flower bed removed from one corner. The triangle has a base of 4 m (along the 14 m side) and a height of 3 m (along the 9 m side).

   (a)

   Find the area of the garden (the rectangle with the triangular corner removed).

   [4 marks]

   (b)

   Find the perimeter of the garden. Note that removing the triangular corner replaces the two cut edges (4 m and 3 m) with the diagonal (hypotenuse) edge of the triangle.

   [4 marks]

   (c)

   Convert the area of the garden found in part (a) into $\text{cm}^2$, and hence find how many 30 cm by 30 cm paving slabs (each with area 900 $\text{cm}^2$) would be needed to fully cover the garden, assuming any partial slab must be rounded up to a whole slab.

   [5 marks]

   Total for question 4: 13 marks

End of questions