Transcript A Answer - SchoolRack

Doug arranged these blocks in a
special way.
was just right of
touched only
touched only
1
Answer:
1
What are the next three letters in
the sequence?
O, T, T, F, F, S, S, ?, ?, ?
23
Answer:
O, T, T, F, F, S, S, E, N, T
23
Place one multiplication sign
between the numerals to make
statement true.
492370 = 344,610
?
x
21
Answer:
4923 x 70 = 344,610
x
21
B
If you saw a B in front of two B’s, a
B between two B’s, and a B behind
two B’s, how many B’s would you
see?
7
Answer:
You would see three B’s.
BBB
7
Place 1 addition sign and
1 subtraction sign between the
numerals to make a true statement.
3591053 = 257
?
+ 16
Answer:
359-105+3 = 257
- +
16
A bus driver picked up 23
passengers along his bus route.
Only 1 passenger got off the bus
before the end of the line. At the
end of the route, there were still
23 people on the bus. How is this
possible?
22
Answer:
There were 24 people to begin with
– 23 and the driver.
22
= 18
If
and
= 54
Then
=
?
8
Answer:
=
75
3 circles equal 36, so each circle is 12.
This means that 4 circles is 48.
2 squares are 18, so each square is 9.
This means that 3 squares is 27.
48 + 27 = 75
8
Albert, Barry, and Chuck are
married to Doris, Eunice, and Flo.
Doris’s sister is married to Chuck.
Albert has never met Flo, who is
an only child.
Who is married to whom?
25
Answer:
Barry is married to Flo.
Albert is married to Doris.
Chuck is married to Eunice.
25
What is the maximum number
of sections this square can be
divided into by drawing
4 straight lines?
31
Answer:
The square can be divided into 11 sections
3
2
1
4
7
6
5
9
8
10
11
31
Place 2 addition signs between
the numerals to make a true
statement.
3925178 = 242
?
+ +
17
Answer:
39+25+178 = 242
++
17
Number Bubbles
Using the numbers
1-7, make the
numbers going
down and
diagonally add up to
12.
9
Answer:
2
3
7
4
1
5
6
9
Bessie the Bookworm found two delicious
books side by side on a shelf. She started
eating at page 1 of the first book, and ate
to the last page of the second book. Each
cover is 1/8 of an inch thick, and the
pages of each book, not counting the
covers are 2 inches thick.
How far did Bessie go?
AB
Answer:
Bessie ate 4 ¼ inches.
The first page of Book 1 and the last page of
Book 2 are separated only by covers!
(Set two books in order on a shelf and see!!!)
Book 2”+ cover ⅛”+ cover ⅛”+ book 2”
= 4 2/8
=4¼
AB
This balance scale has 5-gram
and 2-gram weights on it.
How can you rearrange the
weights so that the scale
balances?
2
5
2
2
5
2
13
Answer:
Move a 5-gram weight from the
left-hand pan to the right-hand
pan, then move a 2-gram weight
from the right-hand pan to the
left-hand pan.
5
2
2
5
2
2
13
A jeweler charges $1 to open a
link of a chain and $2 to weld it
back together. What is the least
that could be charged to join the
pieces below? They need to
make a circular chain.
36
Answer:
$9; break the three links
in one chain and use them
to join the other three
chains.
3($1) + 3($2) = $9
36
The Number Ring
11 1
10
2
3
9
4
8
7
6
5
Childless millionaire Linus Loot decided
to leave his fortune to whichever one of
his four nephews could solve the
following puzzle.
“I have numbered the circles in this ring
from 1 to 11. Number the circles in the
second ring from 1 to 11 in such an
order that if the second ring is placed
over the first ring in any position, right
side up or inverted, at least one number
will be at the same location in both
rings. There are 4 possible solutions.” 11
Answer:
10 1
8
5
6
7
4
8
1
7
3
10
11
2
6
2
5
1
7
5
9
3 10
6
8
4
7
4
11
9
2 11
1
9
3
6
2
11
8
5
3
9
4
10
11
Arrange the numbers 6, 12, 18, 24,
30, 36, 42, 48, and 54 to get the
sum of 90 across, down, and
diagonally.
? ? ?
? 30 ?
? ? ?
30
Answer:
36 42 12
6 30 54
48 18 24
30
How many triangles do you see
in the picture below?
20
Answer:
You should see 8 triangles.
20
There is one letter on each face of the
blocks. Suppose you walk around the
stacks of blocks.
How many letters will you see?
X
A
R
S
T
J
K
L
M
N
B
C
D
E
F
G
24
Answer:
You will see 47 letters.
6 blocks have 4 faces visible.
9 blocks have 2 faces visible.
1 block has 5 faces visible. +
6 x 4 = 24
9 x 2 = 18
1x5= 5
47
24
Rita had 2 coins in her purse.
They totaled 35¢.
One of the coins was not a dime.
How was this possible?
27
Answer:
A dime & quarter.
1 coin was not a dime, but the
other coin was.
27
1
7
Place the numbers
1-14 (but not 8)
into the wheel, so
that any 3 numbers
in a row adds up to
22.
32
Answer:
1
9
2
10
11
12
7
3
4
5
13 14 6
32
How many times during a day are the
hands of the clock perpendicular?
* Only the hour and minute hands.
4
Answer:
Approximately 44 times
4
Approximately how many minutes old
were you on your first Birthday?
8
Answer:
About 525,600 minutes old
on your first birthday.
(365)(24)(60)
365d 24h 60m
1 yr 1d 1hr
8
Five boys ran a 440 yard dash. A came in
first. B came in last. If D was ahead of C,
and E was just behind him.
Who came in second?
Write down the order of the finishers.
34
Answer:
D came in second.
The order is A D C E B
first
last
34
Arrange 7 coins to
form 5 rows of
3 coins each.
25 25 25 25 25 25 25
29
25
25
25 25 25
25
25
OR
25 25 25
25
25 25 25
29
Remove 3 toothpicks to get 3 squares.
6
Answer:
x
x
x
6
Remove 1 toothpick and have 3 squares
left.
5
Answer:
x
5
A snail is climbing up a slippery rock wall
that is two meters high.
Each hour the snail climbs up 40 cm, but
slides back 10 cm at the end of the hour.
How long will it take the snail to reach
the top of the wall?
H
Answer:
6 ½hours
Each hour the snail travels 30 cm (40 – 10),
EXCEPT for the last hour of travel. Once the
snail reaches the top of the wall, it won’t slide
back down.
(30cm)(6 hours) + 20cm = 200cm
20cm
40cm
1 hr. = ½hours
H
How many squares of any size can
be found in this figure?
35
Answer:
41 Squares
35
How Many Times?
John, Jack, Jim and Joe all decided to take
up golfing for the summer. Jim went
twice as much outings as Jack and John
went four outings more than Joe but
three outings less than Jim. Joe went 15
outings altogether.
How many outings did Jack go?
12
Answer:
Joe went 15 outings.
John went 15 + 4 = 19 outings.
Jim went 3 + 19 = 22 outings.
Jack went 22/2 = 11 outings.
Jack went 11 outings.
12
Draw 3 straight lines so that
each circle is in a separate
region and there are no empty
regions
G
Answers may vary
G
Place one of the numbers 1, 2, 3, 4, 5, 6
in each square around the triangle.
Use each number one time only.
Numbers on each side of the triangle
add up to 9.
3
Answer
2
4
3
6
5
1
3
Add four straight lines to this figure
to make ten identical squares.
26
Answer:
1
2
3
4
5
6
7
8
9 10
26
Arrange the numbers 2, 4, 6, 8, 10,
12, 14, 16, and 18 to get the
sum of 30 across, down, and
diagonally.
? ? ?
? ? ?
? ? ?
33
Answer:
16 6 8
2 10 18
12 14 4
33
Eight adults were huddled under
an umbrella measuring only 2 feet
in diameter. No one got wet.
How was this possible?
15
Answer:
It wasn’t raining.
or
It was a big umbrella.
15
Some of these are made with one line.
Trace them with your finger to see which
one’s they are.
1
5
2
6
4
3
7
14
Answer:
You can trace 1, 2, 4, 5, and 6
with one line.
1
5
2
4
6
14
Show how you would move two
toothpicks to make six 1-by-1 squares.
33
Answer:
33
Add five lines to make the word “nine”.
18
Answer:
18
How can you cook an egg for
exactly 15 minutes if all you have
are a 7-minute and an 11-minute
timer?
4
Answer:
Start both the 7-minute and 11minute timers. When the 7minute timer stops, put the egg
on. When the 11-minute timer
stops, restart it. When it stops
this time, the egg is done.
4
Alice has 63 cents in
dimes, nickels, and
pennies.
If she has 12 coins, how
many nickels she have?
4
Answer:
6 nickels
3 dimes
3 pennies
6(5¢) = 30¢
3(10¢) = 30¢
3(1¢) = 3¢
63¢
4
Divide this shape into four parts, each
exactly congruent to the other three.
32
Answer:
32
Who is credited with
the invention of the
first adding machine?
9
Answer:
Abacus
9
If the sum of two positive whole
numbers is 48, What is their
greatest possible product?
7
Answer:
24 and 24
The greatest possible product
is 576.
7
Three consecutive integers
sum to 24.
What are the integers?
6
Answer:
The integers are: 7, 8 and 9
6
Five consecutive integers sum
to 1,000.
What are the integers?
6a
Answer:
The integers are
198, 199, 200, 201 and 202
6a
For what type of integer n is
n2 +
3
n
2
an integer?
5
Answer:
Zero, 6 and 12 …
(any number divisible by 6)
5
The sum of two numbers is 27.
Their product is 180.
What are the numbers?
3
Answer:
12 and 15
1
2
3
4
5
6
9
10
12
180
90
60
45
36
30
20
18
15
3
In how many ways can 60 be
written as the product of two
relatively prime integers?
2
Answer:
Factor
1
3
4
5
60
20
15
12
60
Products
Factor
1
1·60
2·2·3·5
2
2·30
2·3·5
3
3·20
2·2·5
2·2
4·15
3·5
5
5·12
2·2·3
2·3
6·10
2 ·5
These are relatively prime because
they do not have a common factor
other than ± 1
2
If it is 7 a.m.,
what time will it be in
11,999,999,994 hours?
1
Answer:
Hour
1 a.m.
11,999,999,994 ÷ 24
= 499,999,999 full days and 18 hrs. left
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Time
8 a.m.
9 a.m.
10 a.m.
11 a.m.
12 a.m.
1 p.m.
2 p.m.
3 p.m.
4 p.m.
5 p.m.
6 p.m.
7 p.m.
8 p.m.
9 p.m.
10 p.m.
11 p.m.
12 p.m.
1 a.m.
1
A whole number is perfect if it is equal to the
sum of all its divisors that are less than the
number itself. (Include the number 1 but not
the number 28)
28 is perfect. 28 = 1 + 2 +4 +7 +14
Find a perfect number less than 28.
Find the perfect number between
490 and 500.
AA
Answer:
Perfect numbers: 6, 496
6=1+2+3
496 = 1 + 2 + 4 + 8 +16 +31 + 62
+ 124 + 248
AA
What would you feel if your teacher
said, “No homework tonight!”
To find out, enter these additions
and subtractions in your calculator.
Then turn the calculator upside down.
14586 – 2934 + 89573 72468 + 50409 – 23988 = ?
Z
Answer:
Bliss
Z
The mysterious Number Eater has
Eaten some of the numbers from his
multiplication problem.
Can you put them back?
3
X
2
1
7
1 4
Y
Answer:
573
X 219
5157
5730
114600
125487
Y
Write +, -, x, or ÷ between the
numbers to make the equation true.
Do not rearrange the numbers.
Do not use parentheses or exponents.
1
2
3
4
5
6
7
8
9 = 100
X
Answer:
1
X
2
X
3
+
4
+
5
+
6
+
7
+
8
X
9
= 100
X
There are only two integers that
do not have 0 as any digit and
whose product is 1million.
What are they?
W
Answer:
The two numbers are
15,625 and 64
W
On the first day of the month,
you put 1¢ into your savings account.
For each day after that,
you plan to put in double
the amount you put in the day before.
How much will you have to put in
on twentieth day?
AF
Answer:
$524,288
AF
This drawing shows how a farmer
used thirteen hurdles to make
six identical sheep pens.
Unfortunately one of the hurdles
was damaged
Draw a picture using 12 sticks to represent
the undamaged hurdles.
Remember that the farmer still needs
identical sized pens.
10
Answer:
The farmer’s sheep pens.
Using 12 hurdles only.
10
Divide this circle into seven pieces.
The lines must be straight,
but the pieces do not have to be
the same size.
You can only use 3 lines.
V
Answer:
2
1
3
7
6
4
5
V
Can 4 gold chains each with 3 links
be made into a circular necklace
with 12 links for less than $80?
How?
Jeweler’s Prices
$10 to break a link
$10 to weld a link
F
Answer:
Yes; break the three links
in one chain and use them
to join the other three chains.
F
Move 6 sticks to make
6 equal quadrilaterals
E
Answer:
E
Move 3 sticks to make only
5 squares that are the same size.
D
Answer:
One possible solution is
D
Write +, -, x, or ÷ between the numbers
to make the equation true.
Do not rearrange the numbers.
You can use parentheses to make
a larger number.
For example (345) makes 345
1 2 3 4 5 6 7 8 9 = 100
C
Answer:
One solution is:
(1 x 2 x 3) + 4 + 5 + 6 + 7 + (8 x 9) = 100
C
Find the Missing Digits
4
8
2
X
2
8 4
1
4
2
6
B
Answer:
1
4
X
0
6
8
2
2 8
8 4 4
1 6
8 0
8
9
7 2
6
B
Find the Missing Digits
5
X
33
2
3
3
2
0
6
7
8
2
A
Answer:
5
X
1
2
3
6
0
8
3
2
4
3
33
2
8
0
6
7
2
0
2
A
Arrange the digits 1, 3, 5, 7, 9
in this multiplication to form
the greatest product possible.
X
AE
Answer:
751
X 93
2253
67590
6 9, 8 4 3
AE
The letters in the expression represent
the same numbers they represent on a
telephone dial.
Find the numerical answer.
T–R+Y
=
?
M+A+T÷H
* Hint: Do this first.
28
Answer:
The answer is 1.
8-7+9
6+2+8÷4
10
10
=
=1
28