Doug arranged these blocks in a special way.

was just right of

touched only

touched only

What is the

order?

1

Answer:

1

What are the next three letters in the sequence?

23

O, T, T, F, F, S, S, ?, ?, ?

23

Answer:

O, T, T, F, F, S, S, E, N, T

onetwo

threefour

fivesix seven

eightnine

ten

Place one multiplication sign between the numerals to make statement true.

21

492370 = 344,610

x?

21

Answer:

4923 x 70 = 344,610

x

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

B

7

Answer:You would see three B’s.

B B B

Place 1 addition sign and 1 subtraction sign between the numerals to make a true statement.

16

3591053 = 257?

+ -

16

Answer:

359-105+3 = 257

- +

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:

22

There were 24 people to begin with – 23 and the driver.

If = 18

and

= 54

Then = ? 8

= 75

Answer:

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:

25

Barry is married to Flo.Albert is married to Doris.Chuck is married to Eunice.

What is the maximum number of sections this square can be divided into by drawing 4 straight lines?

31

Answer:

31

The square can be divided into 11 sections

1 2 3 4

5

67

89

1011

Place 2 addition signs between the numerals to make a true statement.

17

3925178 = 242?

+ +

17

Answer:

+ +

39+25+178 = 242

Number BubblesUsing the numbers 1-7, make the numbers going down and diagonally add up to 12.

9

Answer:

9

43

7

12

65

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:

AB

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 = 4 ¼

2/8

This balance scale has 5-gram and 2-gram weights on it. How can you rearrange the weights so that the scale balances?

13

5 52

222

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.

13

52 2

522

Answer:

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

36

Answer:

$9; break the three links in one chain and use them to join the other three chains.

3($1) + 3($2) = $9

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

The Number Ring1 2

3

45

678

9

1011

11

Answer:1 3

5

7

9112

46

810 1 4

7

10

258

113

69

1 59

2

6103

711

48 1 6

11

5

1049

38

27

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 ?? ? ?

30

Answer:

36 42 126 30 54

48 18 24

How many triangles do you see in the picture below?

20

Answer:

20

You should see 8 triangles.

There is one letter on each face of the blocks. Suppose you walk around the stacks of blocks.How many letters will you see?

24

A B C D E F G

J K L M N

R S T

X

Answer:

24

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 = 249 x 2 = 18

+ 1 x 5 = 547

Rita had 2 coins in her purse. They totaled 35¢. One of the coins was not a dime. How was this possible?

27

Answer:

27

A dime & quarter.

1 coin was not a dime, but the other coin was.

Place the numbers 1-14 (but not 8) into the wheel, so that any 3 numbers in a row adds up to 22.

32

7

1

32

7

1Answer:

910

1112

13 14

234

56

How many times during a day are the hands of the clock perpendicular?

* Only the hour and minute hands.

4

Answer:

4

Approximately 44 times

Approximately how many minutes old were you on your first Birthday?

8

Answer:

8

About 525,600 minutes old on your first birthday.

(365)(24)(60)

365d 24h 60m 1 yr 1d 1hr

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:

34

D came in second.

The order is A D C E B

first last

Arrange 7 coins to form 5 rows of

3 coins each.

29

25 25 25 25 25 25 25

29

25 25 25

25

25 25 25

25

25 25 25

25 25 25

OR

Remove 3 toothpicks to get 3 squares.

6

Answer:

6

x

x

x

Remove 1 toothpick and have 3 squares left.

5

Answer:

5

x

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:

H

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 1 hr. = ½hours 40cm

How many squares of any size can be found in this figure?

35

35

Answer:

41 Squares

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

How Many Times?

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.

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

4

1

2

6

3 5

3

Add four straight lines to this figure to make ten identical squares.

26

26

Answer:

1 2

3 4

7 8

9 10

5

6

Arrange the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 to get the sum of 30 across, down, and diagonally.

33

? ? ?? ?? ? ?

?

33

Answer:

16 6 82 10 18

12 14 4

Eight adults were huddled under an umbrella measuring only 2 feet in diameter. No one got wet.

How was this possible?

15

Answer:

15

It wasn’t raining.or

It was a big umbrella.

Some of these are made with one line. Trace them with your finger to see which one’s they are.

1 2 3 4

5 6 7

14

Answer:

You can trace 1, 2, 4, 5, and 6 with one line.

1 2 4

5 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:

4

Start both the 7-minute and 11-minute timers. When the 7-minute timer stops, put the egg on. When the 11-minute timer stops, restart it. When it stops this time, the egg is done.

Alice has 63 cents in dimes, nickels, and pennies.

If she has 12 coins, how many nickels she have?

4

Answer:

4

6 nickels 3 dimes

3 pennies

6(5¢) = 30¢ 3(10¢) = 30¢

3(1¢) = 3¢63¢

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

7

Answer:

24 and 24

The greatest possible product is 576.

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

n +3 2

n2 an integer?

5

Answer:

5

Zero, 6 and 12 …(any number divisible by 6)

The sum of two numbers is 27. Their product is 180. What are the numbers?

3

Answer:

12 and 15 1 180 2 90 3 60 4 45 5 36 6 30 9 2010 1812 15 3

In how many ways can 60 be written as the product of two relatively prime integers?

2

Answer:

1 603 204 155 12

2

60 Factor 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

If it is 7 a.m., what time will it be in11,999,999,994 hours?

1

Answer:

1

1 a.m.

11,999,999,994 ÷ 24 = 499,999,999 full days and 18 hrs. left

Hour Time

1 8 a.m. 2 9 a.m. 3 10 a.m. 4 11 a.m. 5 12 a.m. 6 1 p.m. 7 2 p.m. 8 3 p.m. 9 4 p.m. 10 5 p.m. 11 6 p.m. 12 7 p.m. 13 8 p.m. 14 9 p.m. 15 10 p.m. 16 11 p.m. 17 12 p.m. 18 1 a.m.

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.

Z

14586 – 2934 + 89573 -72468 + 50409 – 23988 = ?

Answer:

Bliss

Z

The mysterious Number Eater hasEaten some of the numbers from his multiplication problem.Can you put them back?

3

X 2

71

41

Y

Answer:

5 7 3 X 2 1 9

5 1 5 7 5 7 3 01 1 4 6 0 01 2 5 4 8 7

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

AF

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

This drawing shows how a farmer used thirteen hurdles to make six identical sheep pens. Unfortunately one of the hurdles was damagedDraw 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 bethe same size. You can only use 3 lines.

V

Answer:

1

2

3

4

5

6

7

V

Can 4 gold chains each with 3 linksbe 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

E

Move 6 sticks to make 6 equal quadrilaterals

E

Answer:

Move 3 sticks to make only 5 squares that are the same size.

D

D

Answer:

One possible solution is

Write +, -, x, or ÷ between the numbersto 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 = 100C

Answer:

One solution is:

(1 x 2 x 3) + 4 + 5 + 6 + 7 + (8 x 9) = 100

C

Find the Missing Digits

X

4 8 2

2 1 8 4 4

2 6

B

B

Answer:

X

1 4 0 8 6 2

2 8 1 6 8 4 4 8 0

8 7 2 9 6

Find the Missing Digits

5 6

33X 7

3 2 3 8

2 0 2

A

Answer:

5 4 6

33X 3 7

3 8 2 2 1 6 3 8 0

2 0 2 0 2

A

Arrange the digits 1, 3, 5, 7, 9in this multiplication to form the greatest product possible.

X

AE

Answer:

7 5 1X 9 3

6 9, 8 4 3

2 2 5 3 6 7 5 9 0

AE

The letters in the expression represent the same numbers they represent on a telephone dial.

Find the numerical answer.

28

T – R + YM + A + T ÷ H = ?

* Hint: Do this first.

Answer:

28

The answer is 1.

8-7+96+2+8÷4 =

1010 =1