PROBLEM SOLVING
QUESTION 1
Julie was saving money to buy a digital camera.
She was able to save $75 each month.
a) How much did she save over 16 months?
b) If she continued to save at the same rate,
how much will she save over a period of 3
years?
PROBLEM SOLVING
QUESTION 2
As Todd was soaking in the bath he was
contemplating how much water was in the bath.
If Todd used 85 litres of water each time he had
a bath and he had a bath every week:
a) How much bath water would Todd use over 1
year?
b) How much bath water would he use over a
period of 5 years?
PROBLEM SOLVING
QUESTION 3
You are helping Dad build a fence around your
new swimming pool. He estimates that each
metre of fence will take 2 hours and cost $65 to
build.
a) How long will it take you and your dad to
build a 17m fence?
b) How much will it cost to build that $17m
fence?
c) You Uncle wants you to build his 29m fence,
how much would that cost?
PROBLEM SOLVING
QUESTION 4
At the milk processing plant, the engineer asked
Farid how many cows he had to milk each day.
Farid said he milked 192 cows because he
obtained 1674L of milk each day and a cow
produced 9L each day. Does Farid really milk
192 cows a day? If not, how many cows does he
actually milk?
PROBLEM SOLVING
QUESTION 5
Janet is a land developer and has bought 10 450
square metres of land. She intends to subdivide
their land into 11 separate blocks.
a) How many square metres of land will each
block be?
b) If she sells each block for $72 250, how much
will she receive for the subdivided land?
PROBLEM SOLVING
QUESTION 6
Some people like to keep mice as pets. Female
mice give birth to about 6 litters of babies per
year, with about 6 babies per litter.
a) If you own a female mouse, how many pet
mice will you have at the end of 1 year if
none of the female’s babies have any litters
of their own?
b) How many female mice do you have at the
start if, at the end of the year, you had 111
mice and none of your females’ babies had
any litters of their own?
PROBLEM SOLVING
QUESTION 7
Here is a mobile phone plan and the associated
costs.
a) How much does it cost for a 1 minute call on
this phone?
b) How much does it cost for a 35minute call on
this phone?
c) How much does it cost to send 20 text
messages per day on this phone?
d) What is the difference in cost between
sending text messages and sending 50
picture messages using this phone?
Voice calls
47c per 30
seconds
Text messages
15c per message
Picture
messages
50c per message
PROBLEM SOLVING
QUESTION 8
Imagine a simplified form of car number plates
where the plate consists of a letter followed by a
number (A0 up to Z9). How many numberplates
could be issued under this system? (Remember
that all number plates issued have to be
different!)
PROBLEM SOLVING
QUESTION 9
Marcus eats one of the strawberries in a basket,
then he and his two friends split them evenly. If
his friends get 15 strawberries each, how many
were in the basket to begin with?
PROBLEM SOLVING
QUESTION 10
The product of two consecutive number is 1190.
What are the two numbers and what is their
sum?