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Grades1112ArithmeticPortfolio2.docx

` Mathematics Department

Advent Term 2023

Grades 11 & 12 Arithmetic

Portfolio #2

Due Date: Wednesday 6th December 2023

Instructions:

_____

32

Answer each question on binder/folder leaves

Clearly display all necessary working

1) Calculate the area of the shapes below.

Area of Compound Shapes
Area of compound shapes

[4]

a)

b)

[3]

Area of Compound Shapes

c)

[5]

2) Calculate the area of the shaded regions of the diagrams below.

Area of the Shaded Region – Explanation & Examples
Find the area of a parallelogram shaped shaded region of Fig. 9.13. Also, find the area of each triangle. What is the ratio of area of shaded portion to the remaining area

b)

[3]

[3]

3) A square has the same perimeter of a rectangle shown below. Calculate the area of the square.

6 cm

12 cm

[4]

4) The area of a rectangular banner is 32 square feet. If the width of the banner is 4 ft, determine [4]

a)

a) the length of the banner

b) the perimeter of the banner

5) Tim’s floor measures 12 feet by 12 feet. He wants to cover the floor with square tiles of sides 2 feet. [6]

Floor

Tile

12 feet

12 feet

2 feet

2 feet

a) Calculate the area of the floor

b) Calculate the area of each tile

c) Calculate the number of tiles needed

d) If tiles are sold in boxes of 10, how many boxes of tiles does Tim need to buy?

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