Term 4

The challenge is based on the Working Mathematically content of the NSW BOS Mathematics Syllabus, vol 1.

Whole number

Week 1

Student Worksheet: T4Wk1_Student Worksheet (PDF 73KB)

Question one

Suncorp Stadium is located in Brisbane QLD. It host's various events including sporting games, music concerts, and live action events.

The stadium seats:

5,000 Stadium member seats;
890 "open" corporate box seats;
1,500 corporate suite seats;
44,303 general public seats;
228 escort seats;
312 enhanced amenity seats

1. How many people can the Stadium seat in total?

2. Write the place value of the bold numeral is each number

890
1500
44303
228
312

Extension:

When hosting music events, the Stadium can accommodate more people. The football field is used and people either stand or sit on seats.

When standing an extra 52,759 people can attend.
When seated and extra 7,628 people can attend.

How many people can the Stadium seat in total if
Do people stand on the football field?
Are people seated on the football field?

Question two

Using your calculator you need to display 777 without pressing the seven key. You must show your working.

Question three

1. Lochie's scout club has raised eight four thousand and seventy-two dollars after holding lots of fundraising activities. The government is so impressed by their efforts that it gives them another twelve hundred dollars. How much does Lochie's scout club have altogether?

2. Molly's dad needs to write a cheque to pay for a truckload of hay. The load costs $22,243, but he has to write it out in words. Please type out below the words he will need to place on the cheque.

Whole number (H) and time (E)

Week 2

Student Worksheet: T4Wk2_Student Worksheet (PDF 27KB)

Question one

You have two sets of the digits from 0 to 9.

The idea is to arrange these digits in to make five-digit numbers as close to the target number as possible. You may use each digit once only.

Largest odd number
Largest even number
Largest multiple of two
Smallest multiple of 200

Question two

Arrange each set of five numerals to make the largest five numeral number. Remember a space should exist to the right of the thousand places.

62 857
27 563
20 894
39 524

Question three

Tonight Jordan will go to the movies with her Aunty Megan. Aunty Megan has told Jordan that she will pick her up at a quarter to six. Aunty Megan said that the movie will start at twenty to seven, so that will give them enough time to grab a quick dinner, buy their drinks, popcorn and movie tickets. Aunty Megan has told Mum that they should get home at approximate twenty-five past eight.

Express the following answers in digital time:

What time will Aunty Megan pick up Jordan?
If Aunty Megan runs 22 mins late, what time will Jordan get picked up?
If the movie runs for 93 mins what time will it finish?
What time should Jordan get home?

Question four

Jesse and his family need to travel to Sydney to attend a family reunion picnic which starts at 11 on Saturday 11 October. It takes their family 8 hours to drive by car to get from their home to Sydney. What time should they leave their home to safely arrive in Sydney? This is not just a numerical answer, you must justify (explain) your reason for leaving at this time.

Fractions (E)

Week 3

Student Worksheet: T4Wk3_Student Worksheet (PDF 182KB)

Question one

Refer to the above items that on special or download the
PDF here.

Express their price reduction in decimal notation.

Work out each items full price.

Soft Drink NOW $6.99
Muesli bars NOW $1.99
Tuna NOW $0.92
Chocolate NOW $2.08

Question two

Chocolate bar 6 portions of four squares of chocolate

You want to organise a sleepover but want to help out with the organising of it. A sleepover wouldn't be complete without pizza and chocolate. Noted below are the serving size suggestions for each.

1 serving = 2 / 10 pizza
4 / 24 chocolate

Express the equivalent fraction for both serving sizes

Pizza 2/10
Chocolate 4/24

Express each fraction in decimal notation

Pizza
Chocolate

Work out how many people you can serve with 1 pizza and 1 chocolate block.

How many pizza's and chocolate blocks would you need if you were to invite 11 people to your sleepover?

Question three

Student Worksheet: T4Wk3_Student Worksheet (DOCX 67KB)

Please refer to the above word document as these activities are interactive.

Decimals (C) and Length (D)

Week 4

T4Wk4 Student Worksheet S2 (PDF 224KB)

Question one

Josh went to the newspaper shop with a $10 note which his Dad gave him to buy a newspaper with. His Dad said that Josh did such a great job cleaning the shed, Josh could keep the change. Dad's newspaper cost's $2.25. Josh collects The Simpsons comic series and is very excited that he some extra money to buy this month's issue. When Josh arrives at the newsagency, he finds that a special limited edition issue is available. The regular comic costs $6.95, and the special limited edition issue costs $11.95.

How much change does Josh's Dad let him keep?
How much will both the regular comic and the special limited edition cost?
Will Josh be able to buy both? Is there a difference?

Question two

You have been asked to cook a family dinner for tonight, and you have been given a budget of $20. You have 2 options to choose from. The shopping list for both dinners is noted below.

Option one

Chicken, Broccoli and Pasta

2 x Steggles Chicken Breast Tenders 400g
2 x Continental Value Pasta and Sauce 120g-170g
2 x Australian Baby Broccoli Bunch

Option two

Sausages, Sweet potato bake and vegetables

2 x Coles Finest Sausages 500g
1Kg Australian Gold Sweet Potatoes
2 x Maggi Recipe Bases 21g-47g
Birds Eye Steam Fresh Vegetables with Cheese Sauce

Using the attached Coles catalogue (PDF 2.3MB), you need to work out which dinner option you can afford. To do this you need to find the price of each item and then add them all together.

Which dinner option can you afford?
If your budget was increased to $25, select a dessert from the catalogue you could afford to serve. Remember: You need to serve at least 4 people.

Length

T4Wk4b_Student Worksheet S2 (PDF 171KB)

Megan has conducted a science experiment, to see how the temperature of the soil affected how seeds germinated. The 4 following thermometers have been used to measure the 4 test soil's temperature.

Can you read the temperatures on the following thermometers?

You can also download the picture of the thermometers here.

Megan has discovered that the thermometer's she has used in her experiment have a variance and her results are incorrect. Can you work out the correct temperatures

Soil 1 + 15°
Soil 2 - 1.2°
Soil 3 - 21.5°
Soil 4 - 2.3°

Addition (H) and 3D space (C)

Week 5

T4Wk5_Student Worksheet S2 (PDF 94KB)

You need to use the clues below to work out what the above image is (also available on attached worksheet above). Please use the student worksheet as the measurements are accurate.

Starting a point A, draw a line which is 5.5cm + 11cm = 16.5 cm in length to point _I_. Draw a line which is 5.5 cm to point D. Draw a line from point D, through point ___ to point K. From point K, draw a 12.5cm + 4 cm= 16.5cm line to point J _. From point J, draw a 5.5cm line to point E. From point E, draw a line which is 10 cm + 11 cm + 1cm = 23cm to point C . From point C, draw a 5.5cm line to point F. From point F, draw a 5.5cm line to point K.

To complete the image, 2 lines must be drawn. Starting at point A, and ending at point G, the first line will be 5.5cm in length. The second line will start at point G, with a length of 11cm running through to point B.

Multiplication (E) and Area (D)

Week 7

T4Wk7_Student Worksheet S2 (PDF 74KB)

The above image (also available on the attached worksheet) is a scaled-down plan of Joe's wheat paddock. He needs to work out how much seed he needs to plant this coming season.

You need to work out the total area of the paddock and then calculate how many bags of seed are needed per square cm². You must also consider rainfall or irrigation when planting the seed. The following table (also available on the attached worksheet) indicates how many bags of seed are needed for different conditions.

Poor Conditions

(little/ no rainfall or no irrigation)

Average Conditions

(good rainfall, no irrigation)

Perfect Conditions

(good rainfall, with irrigation)

Bags of seed per cm²

9 bags/cm²

6 bags/cm²

4 bags/cm²

Cost of seed per bag: $22

Questions

What is the total area of the paddock?
How much would it cost if Joe planned to plant for average conditions?
How many bags of seed would Joe need if he were to plant for:

Poor conditions
Average conditions
Perfect conditions

Division (C) and Volume (D)

Week 8

T4Wk8_Student Worksheet S2 (pdf 22 KB)

You are a student at Pigpimples School of Witchcraft and Wizardry, and you have been given an assignment in your potions class.
You must formulate a magic potion which must have 7 different ingredients, and can only be 700 millimetres in total. Unfortunately, if one of those ingredients portions equal 100 millilitres the potion will explode. If they use more than 7 ingredients don't add to 700 millimetres the potion will also explode.
Use the jug above (image also available on the attached worksheet) to illustrate your ingredients and measurements. You must indicate an exact measurement of each ingredient.
Remember to add a scale to your measuring cup.

Patterns and Algebra

Week 9

You have been recruited to the International Numeracy Agency (INA) to report on number patterns. The below four files need your keen Detective skills, to analyse and report on any number pattern found.

Complete each of the investigations and print off the reports and submit to your teacher.

Data (D)

Week 10

Question one

Santa has lost his internet connection which is his main information source! He and his elves are starting to get worried they might fall behind on toy production this Christmas, and they need your help!

Santa wants you to survey your class to discover this Christmas's most popular gift, and forward through a graph which clearly represents this data.

Question two

Mrs Claus has been trying to explain to Santa that he needs to be careful with the number of biscuits he eats on Christmas Eve because she has to keep altering his suit each year. Santa explains that eating what the boys and girls leave out for him is an important part of Christmas, and that he wouldn't want to offend them by not eating what has been left out.

Mrs Claus shows Santa the below table "Days of sleep the Reindeer need to recover from Christmas Eve", hoping that it might convince Santa. "Oh Mrs Claus, you know I only like to look at pictures" Santa responds.

Can you help Mrs Claus, place this data into a graphic representation?

Year	Days of Sleep needs to recover
1988	3
1990	3
1992	4
1994	3
1996	5
1998	6
2000	9
2002	8
2004	11
2006	15
2008	16
2010	17
2012	15
2014	15

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Term 4

Whole number

Week 1

Question one

The stadium seats:

Extension:

Question two

Question three

Whole number (H) and time (E)

Week 2

Question one

Question two

Question three

Express the following answers in digital time:

Question four

Fractions (E)

Week 3

Question one

Question two

Question three

Decimals (C) and Length (D)

Week 4

Question one

Question two

Option one

Option two

Length

Addition (H) and 3D space (C)

Week 5

Multiplication (E) and Area (D)

Week 7

Questions

Division (C) and Volume (D)

Week 8

Patterns and Algebra

Week 9

Data (D)

Week 10

Question one

Question two

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