Math New Drill (Level 2) : Number sense and theory SNJ00-0705-L2 Pieces of figure 1 from 1 to 8000

In the numbers from 1 to 8000, how many pieces of 1 are used altogether?

Math New Drill (Level 2) : Sum and Difference SNJ00-0608-L2 Put candies in boxes

There are some candies and some boxes. 

When 5 candies are put in each box, 92 candies are left. 

When 8 candies are put in each box, less than 8 candies are put in 1 box and 16 boxes with no candy are left. 

When 7 candies are put in each box, several boxes and several candies are left. 

Find the number of the candy.

Math New Drill (level 2) : Number of cases SNJ00-0807-L2 Two types of road to move forward

There is a road shown in the figure below. 

I can move forward on the road expressed by the solid line at a speed of 2 times more than the road expressed by the dotted line. 

How many ways of method to go from A to B in fastest time are there?

Math New Drill (Level 2) : Number sense and theory SNJ00-0704-L2 Three integers with 5 of GCD and 450 of LCM

There are three different integers. 

Each of these integers is less than 90 more than 35. 

The Greatest Common Divisor of these three integers is 5 and the Least Common Multiple is 450. 

Find all the groups of these three integers.

Math New Drill (Level 2) : Number sense and theory SNJ00-0705-L2 Sum total of consecutive integers

In two or more consecutive set of integers, how many sets of integers are there when all integers are added in the set, the sum total becomes 2009?

Math New Drill (Level 1) : Number sense and theory SNJ00-0702-L1 Integers with three divisors

Find integers with three divisors between 50 and 300.

Math New Drill (Level 2) : Number sense and theory SNJ00-0703-L2 Find the capacity of the train

There is a train that just 32.5 % of the capacity can sit. 

When 40 people get on this train, all of them can sit. 

When 60 people get on this train, some cannot sit. 

Find the capacity of this train.

Math New Drill (Level 1) : Number sense and theory SNJ00-0705-L1 Sum of consecutive integers

When the sum of seven consecutive integers is 140, find the first number.

Math New Drill (Level 1) : Number sense and theory SNJ00-0703-L1 Multiple of 12 and 17

When 12 is added to a certain numbers, it'll be a multiple of 17, and when 17 is added, it is a multiple of 12. 

Among such numbers find the second smallest number.

Math New Drill (Level 2) : Number sense and theory SNJ00-0704-L2 Find denominators of two fractions

The least common multiple of the two integers X and Y (X< Y) is 96 and 1/X + 1/Y = 19/96. 

Find X and Y. 

Math New Drill (Level 1) : Number sense and theory SNJ00-0703-L1 Find multiple of 13

In 4 -digit integer 8xx1, how many pieces of number which is multiple of 13 are there?

Math New Drill (Level 2) : Geometry (Plane figure) SNJ00-1012-L2-1 Triangles in the regular decagon

In the triangles that can be made by connecting three vertices of regular decagon, find the number of triangles whose sides are not shared with the regular decagon.

Math New Drill (Level 2) : Number sense and theory SNJ00-0705-L3 Multiple each digit of numbers

(1) There are 2 digits of numbers of 10, 11, 12, 13, .... 99.

Multiple each tens digit and ones digit number of each number and make 90 pieces of numbers.

Find the sum total of 90 numbers.

(2) There are 4 digits of numbers of 1000, 1001, 1002, 1003, .... 2013.

Multiple each of thousands, hundreds, tens and ones digit number of each number and make 1014 pieces of numbers.

Find the sum total of 1014 numbers.

(3) Among 2014 pieces of numbers made in (2), find the pieces of figures whose ones digit is 7.

Math New Drill (Level 2) : Velocity SNJ00-0404-L2 Distance between home and station

Taro left the house for the station and Jiro left the station for the house simultaneously. 

Both of 2 people walked by a fixed speed respectively. 

The distance between two persons was 632 m 5 minutes after leaving and it was 112 m 13 minutes after leaving. 

Find the possible distances between the house and the station.

Math New Drill (Level 2) : Logical Reasoning Find numbers

A～I expresses the number of either 1-9. 

The result of calculation shows as above. Find each number.

Math New Drill (Level 1) : Geometry (Plane figure) Block puzzle

 

Make a figure below by combining five pieces of block above.

Math New Problem (Level 1) : Geometry (Plane figure) Cut a card into two pieces (Part 3)

6 kinds of animals are drawn by two in a single card. 

The card is divided into two pieces where both of shape and size are same by cutting it along the dotted line. 

It should be cut so that 6 kinds of animals may belong to each piece by one. 

Answer four ways of cutting.

Math New Problem (Level 1) : Geometry (Plane figure) Cut a card into two pieces (Part 2)

6 kinds of animals are drawn by two in a single card. 

The card is divided into two pieces where both of shape and size are same by cutting it along the dotted line. 

It should be cut so that 6 kinds of animals may belong to each piece by one. 

Answer how it is cut.

Math Problem (Level 1) : Geometry (Plane figure) Cut a card into two pieces (Part 1)

4 kinds of animals are drawn by two in a single card. 

The card is divided into two pieces where both of shape and size are same by cutting it along the dotted line. 

It should be cut so that 4 kinds of animals may belong to each piece by one. Answer how it is cut.

Math New Drill (Level 1) : Geometry (Plane figure) A rectangular card is cut off along the dotted line.

A rectangular card below is cut along the dotted line. 

It is divided into two pieces where both of shape and the size are same. 

Answer five ways of cutting. 

When it is turned over and it becomes the same, it is assumed to be one way.