Australian International School Hong Kong

Year 8 Mathematics

Pythagoras and Percentages Assignment

Assessment Task 2: 20% of Semester 1 grade

COMPLETION DATE: Monday 11th May

Total Marks: 37

Instructions to students:

Task Component Due Date Teacher Signature

Set SquaresWednesday Week 229/04

Making a PennantTuesday Week 305/05

Whole Assignment

Handed inMonday Week 4 11/05

TASK 1: SET SQUARE PROBLEM

Base Height Hypotenuse Perimeter Area

24 1 24.02 49.02 12

24 2 24.08 50.08 24

24 3 24.19 51.16 36

24 4 24.33 52.33 48

24 5 24.52 53.52 60

24 6 24.74 54.74 72

24 7 25 56 84

24 8 25.30 57.30 96

24 9 25.63 58.63 108

24 10 26 60 120

24 11 26.40 61.40 132

24 12 26.83 62.83 144

24 13 27.29 64.29 156

24 14 27.78 65.78 168

24 15 28.30 67.30 180

24 16 28.84 68.84 192

24 17 29.41 70.41 204

24 18 30 72 216

24 19 30.61 73.61 228

24 20 31.24 75.24 240

24 21 31.89 76.89 252

24 22 32.56 78.52 264

24 23 33.24 80.24 276

24 24 33.94 81.94 288

2)a.

b.

Hypotenuse=5

Hypotenuse= 13

3) a.

4)a.

b.

Area=28

TASK 2: MAKING A PENNANT

Pennant 1

24cm

10cm

Pennant 2

8cm

30cm

Pennant 3

40cm

6cm

To find the perimeter, first find the unknown side with Pythagoras

=49.5cm

=69cm

=86.4cm

Pennant 1= 49.5 x 23.5=1163.25

Pennant 2= 69 x 23.5=1621.5

Pennant 3= 86.4 x 23.5=2030.4

I would choose to manufacture Pennant 1 because it is cheaper to make.

TASK 3: DIVIDING LAND To find the percentage, I will find the fraction first

Section 18 Owners:

Wong-1/4 (25%)

Tsoi-To Find the fraction of Tsoi, find how much lands of Tsoi apply to Wong

Tsoi-

Ho- Since Ho is equivalent to Tso, which means Ho is also (6.25%)

Li- To find the fraction of Li, first find how much lands of Li apply to Ho/Tsoi

Li-

Ng- To find the fraction of Ng, first find how much lands of Ho/Tsoi apply to Ng.

Ng-

Cheun- To find the fraction of Cheun, first find how much lands of Li apply to Cheun

Cheun-

Tse- To find the fraction of Tse, first find how much lands of Li apply to Tse.

Tse-

Chan- To find the fraction of Chan, first find how many lands of Li applies to Chan

Section 19:

Ko- To find the fraction of Ko, first find how much land of Wong and Ho (from Section 18) apply to Ko

Ko-

Hui- To find the fraction of Hui, first find how much land of Li (from section 18) apply to Hui.

Hui-

Smith- To find the fraction of Smith, first find how many lands of Ho and Li apply to Smith.

Smith-

Leung- To find the fraction of Leung, first find how much land of Ho and Li applies to Leung

Leung- (18.75%)

by Chester