Math Smart 7A Unit 2 Applications of Whole Numbers

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The sum (+) of two numbers is 20. The difference
Determine the product (x) of the two numbers.
Solve the problem by systematic
(-) between the numbers is 5.
trial:
10.
The bigger number must be more than half of 20, i.e.
+9=20
12+8=20
13+7=20
11
but
but
and
Answer The numbers are
1
11-9*6
12*8*6
13*7=6
So
try
1
1.
(incorrect;
(incorrect)
(correct)
3 and 7,and the product is 1 3 x 7 = 91'
Solve the problems by systemstic trial.
3
calls. @
the
Jane has made 2 long distance
One lasted 10 minutes longer than
other. The 2 calls lasted a total of 46
minutes. How long was each call?
The sum of 2 consecutive numbers i:
933. What are the two numbers?
Answer
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Answer
A
The difference between the squares of
2 consecutive numbers is 25. Find the
numbers.
:
Bill buys 2 pairs of jeans. He pays
$i 5.00 more for one Pair than the
other. He pays with a $100 bill and
gets $25.00 change. What is the
of the more expensive pair?
Answer
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:
price
Answer:
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Find all 2-digit numbers which have a
remainder of 2 when divided by 3, and
a remainder of 3 when divided by 5.
Answer
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area that she
Ann has 100 m of fencing. What is the largest possible straight-sided
can enclose on all 4 sides with the fencing?
Answer
:
1-.t 20 students planned to go on
a field
trip splitting the cost of the bus among them'
paid $5.00 less for
Then 5 more students decided to join in. As a result each student
the bus. Determine the total cost of the bus'
Answer
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prablems. Shaw your work'
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Tom buys 3 identical T-shirts in a sale. Each has been marked down by $5.00.
Determine
is
also buys a pair of jeans for $55.00. The total cost before tax $106.00.
the price of each T-shirt hrefore the sale'
Answer
O
flies 1 800 m
A pilot flies 1 200 m below the clouds. Another plane at a lower altitude
is the difference
above the ground. The clouds are 4000 m above the ground. What
in altitude between the 2 Planes?
Answer
o
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side' The
At the Richmond Nursery trees are grown in square plots that are side by
side of each square is a 1 m section of fence'
a. What is the total length of fence used to form a row of 30 tree plots?
Answer
b.
:
What is the total length of fence used to form a row of 40 tree plots?
Answer
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Ron and Fred run a 42 km marathon.
When Ron has run twice as far as the
distance he has already covered, he
will be 2 km from the end.
a.
x Time
Distance
=
Speed
-
Distance
_
Distance
How far has he run already?
Time
Speed
fime
Speed
Answe, He has run
b.
lf Ron has been running for 2 hours, what is his average speed so far?
Answer:
c.
tf Fred runs at a speed of Z km per hour, how long will he take to complete the
race?
Answer :
d.
After 3 hours of running, how far is Ron ahead of Fred?
Answer:
e.
Ron slows down after running for 3 hours, lf he can complete thd race in
5 hours, what is his average speed in the last 2 hours?
Answer:
f
.
Fred gives up after he has run for 5
hours. How far is he from the end?
'
Answer:
@
A loonie has a diameter of approximately 27 mm and a thickness of about 2 mm.
a.
How many loonies would it take, placed edge to edge, to cover 1 km?
Answer
b.
How many loonies would there be in a pile 1 m high?
Answer
@
@
:
lt is 12:35 p.m. now. What time was it 100 minutes agoT
Answer
@
:
:
How many minutes will there be in the year 20027
Answer
:
Answer
:
At Hill School, there are 200 Crade 7 students and 160 of them have brown eyes. 90
have both brown hair and brown eyes.
a.
How many Crade 7 students do not have brown eyes?
Answer
b.
:
How many brown-eyed Crade 7 students do not have brown hair?
Answer
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Q A)
Mandy's heart rate is 70 beats Per
minute. lf she lives to be exactly 90
years old, how manY times will her
heart beat throughout her life?
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(Assume there are no leaP Years.)
A number written in
scientific notation is the
product of a number
between 1 and 10 and a
power of
10.
e.g. 1234000 - 1,2 x lAb
u'i:
(correcl to 1 decimal Place) "'
L
Answer
@
and show the answer
Calculate the number of heartbeats throughout Mandy's life
scientific notation. (correct to 1 decimal place)
Answer
@
:
ln 1997, Microsoft
was
3 scientific notations: a)
correct? ExPlain.
Answer
@
5 numbers is 6,x
The average of 6 numbers is 5 x 106. The average of the first
What is the last number?
1 06
:
How many kilometres are therein 4'6 x 1010cm?
Answer
@
worth 190 billion dollars. Mike showed this value with
1P x 1010 b) 1.9 x 1011 and c) 0.19 x 1012. Which one is
:
Answer
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it-t
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of water is PumPed
An aquarium is half-filled with water' Every minute, 100 mL
aquarium' What
through the filter into the aquarium' lt takes 2 hours to fill up the
is the capacitY of the aquarium?
Answer
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There are 32 teams in a hockey tournament. A team is eliminated if it loses a game.
a.
How many games must be played in the tournament until the winner
determined?
is
Answer:
b.
What if there are 64 teams?
Answer
c.
What if there are 128 teams? Describe the pattern in these answers.
Answer
e
:
Determine, without using
a
calculator, the value of
(2+4+6...+4800)-(1 +3+5...+4799)
Answer
@
:
:
from Antville to Beechwood and back, a distance of 300 km each
way. The total journey there and back took t hours. She drove back 15 km/h
faster than she drove there. Determine the average speed in each direction.
Jane drove
From Antville to Beechwood
:
From Beechwood to Antville
:
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