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Problems 151 to 200
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In the diagram, there are six squares and 17 matches.

Remove five matches and obtain three squares.

How many squares 2 × 2 can you count in this grid ? Each square must contain exactly one circle and two white squares.

Andrew possesses eight balls numbered from 1 to 8. How many groups of four balls can have a sum of 16 ?

The sum of two numbers A and B is 19. If we add the double of A and the triple of B, the result is 50. Which is the value of A and B ?

Find the number of squares in this sequence : 3, 7, 11, 15, 19, 23, ..., 999.

Place a sign +, –, ´ or ÷ between the digits of this number in order to obtain 7 like result.

In each square, we can read a number.

Find the number of rectangles 2 ´ 3 where the sum is less than 26.

You choose two numbers. You add, subtract, multiply and divide them. At the end, you add these four results. The greatest selected number is 77. 

Find the smallest number except for 1.

In this grid, choose four couples of numbers, a couple by line.

Invert the numbers of each couple so that the sum is 38 in each column. The sum of the numbers of each line does not change.

Draw one 4 and one 3 to form 43. Remove two segments and move another to obtain the smallest possible number.

Find this number.

In the five empty squares, write each digit from 3 to 7 so that the sum is 144.

In the grid, find the number of squares 3 ´ 3 that have only one club.

In this grid, write some numbers from 1 to 6. The numbers must be different in each line and in each column.

On December 1, 2008 was one Monday. Mary is born on March 8, 2009. Find the day of the week of the birth of Mary.

How many squares 3 ´ 3 can you count in a grid 5 × 5 ?

Elizabeth chooses a number. She makes the operations in this order : to add 12, to multiply by 3, to subtract 6 and to divide by 3. The result is 46. 

Find the chosen number.

Place a sign +, - or ´ between the numbers so that the equality is true.

Peter has 32 years and Mary 29 years. When Pierre did he have the double of the age of Mary ?

169

Robert buys stamps for an amount of 234 cents. He wants the same number of stamps of six cents and seven cents. Find the number of stamps of each value.

In the circles, write each of the numbers from 1 to 6 so that the sum is 13 in each row of three circles.

The age of Adam is triple of that of Blondie. The sum of the ages is 56. Which is the age of Blondie ?

In the empty squares, write each of the numbers from 1 to 6.

Find the smallest sum.

How many squares 3 ´ 3 can you count in a grid 5 × 6 ?

Adelia is born Tuesday on February 29, 2000. Which day of the week was on February 29, 2001 ?

Marilyn decided to write the digits with balls.

What is the smallest number of two digits that requires 11 balls ?

Find the 19^th number of this sequence : 1, 3, 5, 4, 6, 8, 7, 9, 11, 10 …

How many squares 4 ´ 4 can you count in a grid 8 × 8 ?

Draw six straight lines to form four squares of the same size.

A twelfth of a brick weighs the quarter of one kilogram. Determine the weight of four bricks.

In the six empty squares, write 2, 4, 5, 6, 8 and 9 so that the addition is true.

Find the number of squares in this sequence : 3, 6, 9, 12, 15, 18, 21, …, 999.

Brooke rented an apartment on the 75^e floor of a building of 85 floors on July 1^st 2007. She wanted to move twice a year : up five floors on January 1^st and down three floors on July 1^st. 

In which year will she remain on the last floor of the building ?

Brice is born on April 25. How many days did he live on June 25 of the same year ?

In the nine empty squares, write 2, 4, 5, 6, 8 and 9 so that the equalities are true.

In the circles, write each of the numbers from 1 to 6 so that the sum is 16 in each row of three circles.

You take the number 51. You make these operations in various orders : to add 3, to subtract 3, to multiply by 3, to divide by 3 and to extract the square root.

The result is 15. Give the order of the operations.

Place signs + between certain digits of this number in order to obtain 1066 like result.

In each square, we can read a number.

Find the number of squares 2 ´ 2 where the sum is more than 21.

Billy has a bag of balls. He gives three balls. He sells a third of the remaining balls and gives three balls. Again, he sells a third of the remaining balls and gives three balls. He has then 11 balls in his bag. 

How many balls had Billy at the beginning ?

Beatrice chooses a number. She makes the operations in this order : to add 3, to multiply by 4, to subtract 12 and to multiply by ½. 

Which is the relationship between the result and the chosen number ?

Find the 14^th number of this sequence : 4, 3, 7, 6, 13, 12, 25, 24, 49, 48, 97, 96, ...

In a box, Brenda placed 15 tokens.

· 5 tokens marked 1 point

· 5 tokens marked 2 points

· 5 tokens marked 5 points

Benjamin wants six tokens with a total of 17 points. What tokens will Benjamin receive ?

Draw six straight lines to form three triangles of the same size.

Which number is the greatest : 98 763 ´ 98 765 or the square of 98 764 ?

This figure consists of eight balls and four rows of three balls each one.

Move one ball in order to obtain five rows of three balls each one.

In the addition, each letter represents a different digit. For example, A = 8 and P = 4.

Which is the value of R ?

Draw one 8 and one 5 to form 85. Remove three segments to obtain the greatest possible number.

Which is this number ?

Using these numbers, represent 109. The allowed operations are : +, –, ´ and ¸.

Draw six straight lines to form four triangles of the same size.

Adele places eight coins in a circular way. She removes a first coin and successively the third coin. She continues thus until a single coin remains.

What coin will be the last ?