Grade Six Problems
1)
Uncle Henry was driving to Halifax when he spotted a big green
gorilla on the side of the road. He screeched to a stop, jumped out of
his car. He saw the outline of a number on the gorilla. He couldn't quite
see the number, but he knew it was a 4 digit number. And:
1) He remembered seeing a number 1.
2) In the hundred's place he remembers the number is 3 times the
number in the thousand's place.
3) He said the number in the one's place is 4 times the number in
the ten's place.
4) Finally he said the number 2 is sitting in the thousand's place.
What is the number?
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2)
Elmer Fudd decided to grow a garden so he could make salad. He wants
to make it 10.1 m long and 4.2 m wide. However, in order to avoid Bugs
Bunny from entering his garden he must make a fence surrounding the garden.
He decides to make the fence 11.2 m long and 5.0 m wide. What is the area
between the fence and the garden?
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3)
Jenny bought 7 t-shirts, one for each of her seven brothers, for
$9.95 each. The cashier charged her an additional $13.07 in sales tax.
She left the store with a measely $7.28. How much money did Jenny start
with?
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4)
Dave gave Charlotte half of his pogs. Charlotte gave Johnnie half
of the pogs she received from Dave. Johnnie kept 8 of those pogs and gave
the remaining 10 to Dana. How many pogs did Dave give Charlotte?
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5)
On an average day, Canadians spend $958904.00 buying video games.
Of this total $767123.00 is spent on Nintendo games. In one week how much
do Canadians spend on Nintendo Games. How much do they spend on other video
games in a week?
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6)
The average monthly rainfall for 6 months was 28.5 mm. If it had
rained 1mm more each month what would the average have been? By how much
would the total have been increased in six months and by how much would
average have been increased per month?
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7)
8)
If you are given the following questions: How many Russian rubles
can you buy with $300.00 Canadian? What other information do you need in
order to solve the problem?
You need to know the exchange rate. How many rubles you can get per
one Canadian dollar?
So if the question now reads, "How many Russian rubles can you buy
with $300.00 Canadian knowing the exchange rate of 20 rubles/Canadian dollar.
What would be your answer?
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9)
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10)
Jill was given 3 red candies, 2 blue candies and 2 yellow candies.
Use several ratios to describe the candies Jill has.
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11)
a) Mr. Mason asked the children to open their math books to the
facing pages whose page numbers add up to 85. To which pages should the
children turn?
Mark accidentally tore out a page of his math book. Mr. Mason asked
him what page it was. Mark said that the sum of the page numbers on the
facing pages was 127. What are the page numbers on the pages Mark tore
out of the book?
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12)
SALE
Celtic Bakery Sale
White Bread - 2 for $1.25
Rye Bread - 2 for $1.35
Onion Rolls - 6 for $1.00
Hamburger Buns- 6 for $0.85
Hot Dog Buns - 6 for $0.69
Melanie and Kevin are going shopping for their mom at the Celtic Bakery.
They were told to buy 15 onion rolls, 10 hamburger buns and 2 loaves of
rye bread. How much will it cost them?
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13)
a) If you saved $2.00 on January 1, $4.00 on February 1, $6.00 on
March 1, $8.00 on April 1, and so on, how much money would you save in
one year?
b) If you saved $2.00 on January 1, $4.00 on February 1, $8.00 on
March 1, $16.00 on April 1, and so on. How much money would you save in
one year?
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14)
A number line from 0 to 2 is divided into seven equal segments.
What fraction names point A? What fraction names point B?
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15)
Dennis the Menace is thinking of two numbers. Their greatest common
factor is 6. Their least common multiple is 36. One of the numbers is 12.
What is the other number?
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16)
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17)
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18)
Ethel made a list of all the whole numbers between 1 to 100. How
many times did she write the number 2?
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19)
How many triangles are in this figure?
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20)
Can you solve this magic square?
Put the remaining numbers from 0 to 15 in the 16 small squares. The
sum of the four numbers in each row, column and two diagonals must be 30.
15 | | | 12
----+----+----+----
| 10 | 9 |
----+----+----+----
| | | 11
----+----+----+----
3 | | | 0
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21)
Mary and Jason were making propellers for their wooden helicopters.
Mary put a number on her propellor and noticed that when she turned the
propellor she had the same number.
Jason was trying to think of a number that he could put on his that
had the same rotational synmetry (looks the same turned upside down). What
is the next larger number that has this property?
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22)
a) Mr. and Mrs. Callahan and their 3 children paid $7.00 for tickets.
Which game do they plan to see?
SOFTBALL: Adults $2.00 Children $1.00
BASKETBALL: Adults $3.00 Children $1.50
SOCCER: Adults $5.00 Children $2.50
b) How much change would Mr. and Mrs. Callahan get if they took their
children to see the basketball game and paid for it with a $20.00 bill?
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23)
Farmer Tom put a square fence around his vegetable garden to keep
the deer from eating his corn. One side was 10m in length. If the posts
were placed 2m apart, how many posts did he use?
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24)
Ammie passed around a basket of strawberries to the girls at her
party. Before the party she ate 5 strawberries and gave a friend 3. Eight
girls arrived at the party. The first girl took a strawberry, the second
girl took 3 strawberries, the third girl took 5 strawberries and so on.
After the last girl took her strawberries, the basket was empty. How many
strawberries were in the basket at the beginning?
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25)
Rob wanted an allowance. His father gave him a choice of getting
it on a weekly or on a daily basis. He said he would either pay him $1.25
a week or pay him in the following manner for a week: On Monday he would
give him $0.01; On Tuesday $0.02; On Wednesday $0.04 and on through Sunday.
What would you tell Rob to do so he can get more allowance?
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26)
A side of square B is four times the length of a side of square
A. How many times greater is the area of square B than the area of square
A?
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27)
Shane the Snail started at the dot. What side will he be on when
he has crawled 13/20 of the distance around the regular pentagon of equal
sides?
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28)
The number of hours that were left in the day was one-third of the
number of hours already passed. How many hours were left in the day?
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29)
A rectangular kitchen table is three times as long as it is wide.
If it were 3m shorter and 3 m wider it would be a square.
What are the dimensions of the rectangular table?
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30)
A manufacturer claims that a new motor oil saves 5 percent of the
gasoline used by a car. If you drive 24,000 kilometres a year and he gets
32 kilometres a gallon of gasoline, how many gallons of gasoline could
you save in 1 year?
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31)
What is the starting number (?) ?
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32)
Carpeting is on sale and Mrs. Doyle is looking for some carpet for
her living room. Her living room is 4m by 5m. How much will it cost her
to do this at sale price?
CARPET SALE
Regular $9.99 square metre
Now on Sale for
20 percent off
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33)
Derek started his car (automatic shift) drove 9 km and spent 3 minutes
waiting at traffic lights. About how much gasoline did Derek's car use?
CHART GIVEN:
AUTOMOBILE FUEL USAGE
Starting .015 Liters
Idling for 1 minute .047 Litres
Moving
Manual Shift 30km 3.0 Litres
Automatic Shift 27km 3.0 Litres
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34)
The Pictou Ferryboat is full when it has ten cars on board. It is
also full when it has six trucks on board. The ferryboat never carries
cars and trucks at the same time.
The ferryboat made five trips across the river and was full on each
trip. It carried a total of 42 cars and trucks across the river.
How many cars did the ferryboat carry altogether in the five trips?
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35)
Jeremy had this problem on his first mathematics examination. He
was having big problems with answering the question. Replace each letter
with a different number. Identical letters should be replaced with the
same number.
SPART
x 4
----------
TRAPS
Can you help him?
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36)
Porky's house had 100m2 of living space. Then he added
a room that was 4m by 5m. What was the fractional increase of living space?
What was the percent of increase in living space?
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37)
Cheri, Beth and Jacinta are daughters of Mr. Sullivan, Mr. Marchand
and Mr. Benoit. Four of these people are playing tennis doubles. Mr. Benoit's
daughter and Mr. Sullivan are partners. Cheri's father and Mr. Marchand's
daughter are also partners. There aren't any father-daughter combinations.
Who is Cheri's father?
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38)
The magician said, "The average of seven numbers is 49. If 1 is
added to the first number, 2 is added to the second number, 3 is added
to the third number and so on up to the seventh number", what is the new
average?
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39)
The total bus fare was $2.10. What was the distance travelled when
the fare is $0.90 for the first 1/3 km and $0.10 for each 1/8 additional
kilometer?
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40)
Here's a question for you!!!
One of these things does not belong here, one of these things is
not the same. Can you tell which cube?
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41)
The greatest common factor of two numbers is 30. Their least common
multiple is 420. One of the numbers is 210. Can you find the other number?
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42)
The peel of a banana weighs about 1/8 of the total weight of the
banana. If you buy 3 kg of bananas at 1kg for $0.60, about how much are
you paying for the banana peel? For the banana itself? Round to the nearest
cent.
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43)
Two carpenters decided to design desks for students at the Junior
High. The dimensions of the desk are as shown. How much wood would they
need for 30 desks? (in cm2).
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44)
Chatterbox made the following figures with a piece of wood, 12 nails
and an elastic band. What is the area of the figure (in units2)?
Explain your method:
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45)
Do these parallelograms have the same area? How do you know?
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