Snow Gums Learning Alliance

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Term 1

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

Week 3

Saving (Whole number)

An iPad costs $387. Judy has saved $59. How much more does she need to save to buy an iPad? If Judy saves $19 a week, how many weeks will it take

Judy to save enough to purchase the iPad?

Problem One Answer Sheet (PDF 45KB)

Week 4

Tim's trip (time)

It's 7km from Tim's house to where his Grandma lives. It's uphill on the way there so he can only cycle at 14kph but he can do 21kph on the way back.

Tim leaves his house at 6pm. How long can he stop at his Grandma's house if he wants to be back home for his favorite TV program at 7pm?

Extension

At what time should Tim leave if he wants to spend 45 minutes at his grandma's?

Problem Four Answer Sheet (PDF 68KB)

Week 5

How far? (Length)

Julie goes to soccer every week. She is the goalkeeper. Her team won the grand final last year. The soccer field is 12km from Julie's house in a beautiful part of town. She goes to training once a week and plays a game every Saturday over the twelve-week season. How many kilometers does she travel in a season? 

Week 6

Alphabus (Addition)

Week 7

Star Princess (Subtraction)

The Star Princess Cruise Ship holds 6 200 people. There are

On the first day, between 10am and 11am, a quarter of the passengers used the top level swimming pool, whilst a third of the remaining passengers used the middle-level swimming pool. How many people chose not to swim?

Write your answer as a fraction of the total number of passengers on the ship?

Week 8

Can you keep count? Multiplication

The local zoo has an area where there are three types of native Australian animals — wallabies, wombats and koalas — for visitors to see on tours.

The zookeepers keep records of the numbers of each type of animal. At the end of both the first and second years, there were three times as many wombats as koalas and half the total animal population was wallabies.

  • If there were three koalas at the end of the first year, what was the total animal population?
  • If the total population at the end of the second year was 40, how many wallabies, wombats and koalas were there?
  • At the end of the third year, the total animal population had grown to 55. There were still three times as many wombats as koalas and more than half the total population was wallabies.
  • The zookeeper thought he had counted eight koalas. Explain why this was a mistake.
  • What is the largest possible number of koalas in the area at the end of the third year?

 Problem Five Answer Sheet (PDF 80KB)

Week 9

How big is the chook shed? (Multiplication)

A: 

Harry wants to make a rectangular chicken run at the back of the house. He bought 12 meters of fencing wire. What is the largest area run that he can make for his chickens?

B: 

What if Harryhad 60 meters of fencing?

Problem Six Answer Sheet (PDF 63KB)

Week 10

Max's Fraction Problems (Fractions)

1. A book cost Max $14.90. His Uncle paid for ½ of it. How much did Max pay?

2. Max got $25.00 for his birthday money. His Gran gave him a 1/5 of this. How much did she give him?

3. Max was 120 cm tall. His little brother was a 1/3 of his height. How tall was Max's brother?

4. Max rode his bike 6 km to school. A ¼ of the way to school was a corner shop. How far was it from Max's home to the corner shop?

5. Max's class had 30 children in it. A 9/10 are going on a school trip. How many children are not going on the trip?

6. Max bought 12 cans of drink. 1/6 were lemonade. How many were not lemonade?

7. Max paid $40.00 to see NSW play Qld in Sydney. His Auntie paid 1/8 of the price of the ticket. How much did Max pay?

8. At the State of Origin, there were 82 000 spectators. 1/5 of them were Qld fans. How many were NSW fans?

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