ID 202

One pack of pencils has 4 pencils.
Two other packs have 11 pencils each.

What is the total number of pencils in these three packs?

ID 218

The symbol '>' means 'is greater than'.
The symbol '<' means 'is less than'.

If the open sentences on the right are true, which open sentence below is also true?

ID 220

What fraction of these animals are dogs?

ID 232

Eugenia turned 9 in 2007.
In what year was she born?

ID 238

Mrs. Johnson is placing apples on shelves, as shown here.

Estimate the total number of apples she can ﬁt on the two shelves.

ID 239

Anna hung 3 photographs in a line.
Photographs that are hung next to each other share a tack.
How many tacks are needed to hang 21 photographs this way?

ID 240

Each of four children has a photo.
Anna and Bill's photos show water.
Only Cindy and Bill's photos show a man.

Which photograph belongs to David?

ID 245

Start from the red circle.
First go 1 block north, then go 2 blocks east, then go 3 blocks south, and finally go 4 blocks west.

Where do you end up?

ID 252

How many letters are there in the correct answer to this question?

ID 257

The Smith family went on a horseback trip.
All together, there were 48 legs.

How many people were on the trip?

ID 258

Anna's desk is in the third row from the front and the second row from the back of the classroom.
The desks in the classroom are lined up in straight rows.
Her desk is also the third from the left and the first from the right.

How many students' desks are there?

ID 267

The book has 123 pages.

How many pages does Bill have to read to finish his book?

ID 270

How many cells show a number greater than 5?

ID 275

Add the adjacent numbers together and write their sum in the block above them.

What is the number at the top of the pyramid?

ID 288

How many 3-digit numbers can you make using 1 and 2 ?

ID 1402

How many correct answers are there to this question?

Remember, there may be more than one correct answer.
Choose the greatest number.

ID 1494

What is the lowest number of chain links that must be opened and closed to join the pieces shown on the right into a circular chain?

ID 1661

How many dots in the next pattern in the sequence?

ID 1716

The diagram shows all of the results of a six-person contest.
An arrow pointing from one player to another means that the first player defeated the second player in their match.
Each match always gives a winner and a loser (no draws).

Who played the smallest number of matches?

ID 1859

If each row and each column of the square must contain exactly one triangle, circle, pentagon, and rhombus, which shape must be placed in the empty space?

ID 1873

John bought twice as many fish as his dad.

If they bought a total of six fish, how many fish did John buy?

ID 1936

John and Jim are twins.

How many grandparents do they have?

ID 2010

What is the lowest number of rings that must be opened to separate all of them?

ID 2038

In one trip a car can take 7 people.

How many trips are needed to move 33 people?

ID 2065

How many triangular areas are there in the picture?

ID 2531

One pack of pencils has 17 pencils.
Another pack has 31 pencils.

How many more pencils are in the second pack?

ID 2533

One pack of pencils has 9 pencils.
Another pack has 31 pencils.

How many more pencils are in the second pack?

ID 2656

One pack of pencils has 6 pencils.
Two other packs have 17 pencils each.

What is the total number of pencils in these three packs?

ID 2658

One pack of pencils has 5 pencils.
Two other packs have 16 pencils each.

What is the total number of pencils in these three packs?

ID 2688

Eugenia turned 13 in 2012.
In what year was she born?

ID 2694

Anna hung 3 photographs in a line.
Photographs that are hung next to each other share a tack.
How many tacks are needed to hang 44 photographs this way?

ID 2695

Anna, Bill, Cindy, and David show their photos. Each of four children has a photo.
Anna and Bill's photos show water.
Cindy and Bill's photos don't show people.

Which photograph belongs to David?

ID 2701

Start from the red circle.
First go 2 blocks north, then go 1 block east, then go 4 blocks south, and finally go 2 blocks west.

Where do you end up?

ID 2716

The Smith family went on a horseback trip.
All together, there were 42 legs.

How many people were on the trip?

ID 2718

The Smith family went on a horseback trip.
All together, there were 30 legs.

How many people were on the trip?

ID 2732

The book has 123 pages.

How many pages does Bill have to read to finish his book?

ID 2759

How many 2-digit numbers can you make using 1 and 2 ?

ID 2786

There are four more girls than boys in a class.
There are twenty six students in all.

How many boys are in the class?

ID 2823

How many pineapples are needed to produce 6 glasses of juice?

ID 3311

Henrietta the Hen lays eggs this week.

There are more than 3 eggs.
There are fewer than 6 eggs.
There are not 4 eggs.

How many eggs does Henrietta lay?

ID 3482

A farmer has 8 sheep.
How many sheep does he have now?

ID 3615

How many letters are there in the word that is always spelled wrong?

ID 4191

Find the odd member of the series.

ID 4300

At the next stop, 3 students get off while 5 get on.

If initially there were 4 students in the bus, how many students are there in the bus now?

ID 4609

From which state does the vehicle registration plate include the characters 4 and H?

ID 4621

Which city name contains the greatest number of letters?

ID 4652

In a basketball tournament, there are 7 teams.
Each of the teams plays two matches with every other team.
The top qualified two teams play one game in the playoff.

How many matches does the winner play?

ID 4802

At a parking place, I counted 100 tires.
There are only 4-wheel cars.

How many cars are there?

ID 4909

Which word in the phrase below is the shortest?

Keep It Simple, Stupid - KISS

ID 4938

Each table in a restaurant seats four people.

How many tables do you need to reserve for a party of 17 people?

ID 4947

Mr. Happy has 4 daughters.
Each of his daughters has two brothers.

How many children does Mr. Happy have?

ID 4975

The calculation is correct.

Which number is hidden by the clouds?

ID 4982

The Smiths have four daughters.
Every daughter has exactly three brothers.

How many people are there in the family?

ID 5016

We come off at exit 42 and we have just passed exit 38.
The exits are 6 minutes apart.

When will we take the exit?

ID 5021

If my age 8 years ago was 8, what will my age be 8 years from now?

ID 5205

Jane started eating a candy per day on Monday. She never missed the opportunity.

When did she eat the last candy?

ID 5386

876 passengers are in the train station. 159 get on a train.

ID 5477

What is the main difference between the pictures on the left page and on the right page?

The problem is similar to 100 Bongard Problems on visual pattern recognition.

ID 5556

Gerry scored 10 points during a basketball game.

What is the largest number of 3-point throws he might have made?

Points in basketball can be accumulated by making field goals (two or three points) or free throws (one point). If a player makes a field goal from within the three-point line, the player scores two points.

ID 5912

In a village, there are 80 people, 46 of them are women or girls.

How many boys and men live in the village?

ID 6502

How many ropes are there in the picture if you see all of their ends?

ID 6753

Jan and Gerry together eat 6 apples every day.

In how many days do they eat 24 apples from the tree?

ID 6813

Jane had six apples. All but a third were given to Gerry. Then she ate one.

How many did she have left?

ID 6823

Gerry dries grapes and gets 1 kilogram of raisins out of 5 kilograms of grapes.

How many kilograms of grapes are needed to get 5 kilograms of raisins?

ID 6826

What is the largest number of crosses you can place on a 4 x 4 board without making four-in-a-line in any direction (left-right, up-down, or diagonal)?

ID 6831

What is the minimum number of swaps of any two adjacent letters needed to convert the word WEIRD into the word WIRED?

ID 6839

Jane is saving up for books. She puts 3 dollars in her piggy bank every Tuesday and Thursday.

How much will she save up in February?

ID 6893

It takes 4 minutes to boil an egg.

If you can boil only 3 eggs at the same time, how long does it take to boil ten eggs?

ID 6905

Mr. and Mrs. Smith have three daughters and four sons.
At Easter time, each member of the family buys one chocolate Easter egg for each of the others.

How many Easter eggs will be bought in total?

ID 6951

Jane wants to set a knife on the right side of each plate and a fork on the left side.

How many interchanges of a knife and a fork does she need to make?

ID 6986

How much money will he have on Friday?

ID 7009

Jane is shorter than Betty.
Tom is taller than Gerry.

Who is the tallest?

ID 7022

Grandfather is to grandmother as uncle is to:

ID 7032

Gerry holds several tickets for a concert.
If his ticket is the 4th from the bottom and 3rd from the top, how many tickets does he hold?

ID 7086

Martin has 3 piles of gold coins.

There are 10 coins in the first pile.
There are 15 coins in the second pile.
There are 20 coins in the third pile.

If Martin shares the coins among 5 people, how many coins does each person get?

ID 7156

On an island, there are only green lizards and non-poisonous small snakes.

If there are 100 legs and 100 tails in total, how many snakes are there?

ID 7265

There are eight letters in these two words.