Operations
AA.1 Make formula using 3 four times
AA.2 Six digits integer
AA.3 Transformation of formula
Properties
BB.1
Ratios and proportions
CC.1 Water and wine in two vessels
CC.3 Number and cost price of apple
CC.5 Visitors' line at aquarium
CC.6 Cows in the pasture
CC.7 How old am I now?
CC.8 Admission ticket of a theater
CC.9 Water moves in three tanks
CC.10 Election of the president of student council
CC.11 Homework of summer vacation
CC.12 Discounted ticket price
CC.13 Bagging work by three persons
CC.14 Exchange salt solution between two
CC.15 Take out three kind of ball
CC.16 Set of apple and orange juice
CC.17 Donation by three persons
CC.18 Management of the party
CC.19 Test of three problems
Problem solving (Velocity)
DD.1 Passing every five minutes
DD.2 Go forth by three steps and back by two steps
DD.3 Whistle from express train
DD.4 Steam whistle from steam train
DD.5 Round trip of the mountain path
DD.6 Walk on 40 steps escalator
DD.7 Run around the pond
DD.8 Three persons start at different time
DD.9 Three persons run in the school ground
DD.10 Two way speed walking on the escalator
DD.11 Number of steps to catch up
DD.12 Time when passing each other
DD.13 Long-distance train
DD.14 Go to another town by bicycle and on foot
DD.15 Ten cars passing on the highway
DD.16 Two persons moving around a pond
DD.17 Two persons meet and janken
DD.18 Long hand and hour hand of flower clock
DD.19 Two persons' moving by bicycle
DD.20 Replacement of long and hour hand
DD.21 Change speed to catch up
DD.22 Two different styles of moving
DD.23 Bring balls to moving dray
DD.24 Speed ratio of two persons
DD.25 Pass traffic jam section
DD.26 Game walking around a pond
DD.27 Two persons go to house each other
DD.28 Time one passed another
DD.29 Notice an article left behind
DD.30 Town on the top of mountain
DD.31 Three persons from home to a park
DD.32 Moving by running and a car
DD.33 Two points between school and park
DD.34 Speed ratio is 7 : 5
DD.35 Triathlon race
DD.36 Library between school and station
DD.37 Another triathlon race
DD.38 Walk to the next bus stop
DD.39 Walking and running around a pond
DD.40 Load dropped to a river from ship
DD.41 Walk along riverside and ship in the river
DD.42 Change direction at every meeting
DD.43 Graph of distance of two persons
DD.44 Three points moving on three circles
DD.45 Carry an iron plate
DD.46 Four animals on a rectangle
DD.47 Carry water to cart
Transformations
EE.1 Two points moving on a diameter
EE.3 One water feeding pipe and two draining pipes
EE.4 Partition in a water tank
EE.5 Telephone rate of two companies
EE.6 Travel distance and railway fare
EE.7 Length of a candle
Problem solving (Sum and difference)
FF.1 Fixed and proportional rate to send package
FF.2 Test of ten problems of O or X
FF.4 Three persons in the train
FF.5 Distribution of seeds of flower
FF.6 Gather flower petals in a schoolyard
FF.7 Pass money among three persons
Number sense / theory
GG.1 How many numbers of 0 in the product
GG.2 Number of times divided by 3
GG.3 Find two cakes among three
GG.4 Same departure time of two trains
GG.5 Share oranges with several persons
GG.7 Divide three numbers by the same number
GG.8 Sequence of integers after separation of each digit
GG.9 Product of two integers is 44448888
GG.10 I was born in ABCD
GG.11 One integer added to 12 after another
GG.12 Operational rule of integers
GG.13 Sum of fractions whose numerator is 1
GG.14 Six light bulbs
GG.15 Repeat operation of integers
GG.16 Integers of remainder one divided by three
GG.17 Sum of two integers is divided by G.C.D.
GG.18 200---07 divisible by 27 and indivisible by 81
GG.19 Three digit integers divided by 35 and 40
GG.20 Paper tape is cut at 3, 5, 7 equal parts
GG.21 Year of Showa era and A.D.
GG.22 Integer divided by 4, 5, 7 with some remainder
GG.23 Three persons read books with different pages
GG.24 13 persons ordered one confectionery and drink
GG.25 Multiple of even numbers
GG.26 Quotient and remainder are same
GG.27 One number after another is multiplied from 1
GG.28 Sum of three integers is 1000
GG.29 1989 expressed by continuous integers
GG.30 Skip every 2 piece on the stones around a pond
GG.31 1/12 = 1/x + 1/y
GG.32 Number of sheets of origami
GG.33 Price of consumption tax included
GG.34 Multiple of each number of digit
Number of cases / Probability
HH.1 Numbers with no 4
HH.2 Three pieces among red, blue, and black
HH.3 Share six oranges with four persons
HH.4 Another sharing six oranges
HH.5 Divide hexagon
HH.6 Connecting three points to be triangle
HH.7 Four wins and three losses at World Series
HH.8 Insect moving along the side of solid
HH.9 Election of three committees
HH.10 Two persons roll a die
HH.11 Arrange three numbers and alphabet
HH.12 Sum of each digit is 10
HH.13 Hexagon is divided by two diagonal lines
HH.14 Four figures containing 5
HH.15 Number of ways from P to A
HH.16 Tournament games of soccer in 7 teams
HH.17 Move of the side of regular tetrahedron
Patterns / Regularity
II.1 Number to buy to drink 100 bottles
II.2 Multiply 27 50 times
II.3 100th anniversary day of foundation
II.4 Number of days of Friday 13th
II.5 Make big equilateral triangle by putting small ones
II.6 No multiple of 9 and no 9 in any digit
II.7 Rearrangement of 12 cards
II.8 No number as a price including tax
II.9 Connect red tapes and white tapes
II.10 Arrangement of numbers and alphabets
II.11 Arrangement of numbers based on rules
II.12 Sequences on a certain condition
II.13 Sequences on a certain rule
II.14 Piled up two-face coins
II.15 Four numbers in square cards
II.16 Four empty bottles for one new bottle
II.17 (Deleted : Same problem as III2) Machine displays numbers of two digits
II.18 Number of teams are multiples of two in tournament
Geometry (Plane figure)
JJ.1 Combination of two right triangles
JJ.2 Square in the right triangle
JJ.3 Rope going around the earth
JJ.4 Board on the roller
JJ.5 Coin rotating around another coin
JJ.7 Area ratio of square and triangle
JJ.8 Extension of three sides of triangle
JJ.9 Division of square
JJ.10 Combining small equilateral triangles to be large one
JJ.11 Disk rolls around another disk
JJ.12 Fold a rectangular paper
JJ.13 Area ratio of parallelogram
JJ.14 Area ratio of triangles
JJ.15 Triangle in hexagon
JJ.16 Combination of five equilateral triangles
JJ.17 Partition of square
JJ.18 Overlapped right angle triangles
JJ.19 Length in a triangle
JJ.20 Figure in two circles attached
JJ.21 Two squares and one circle
JJ.22 Straight lines with certain angles
JJ.23 Two persons move on a rectangle
JJ.24 Three angles in two figures
JJ.25 Folded and flattened paper tape
JJ.26 Rounded book
JJ.27 Partition of trapezoid
JJ.28 Overlapped two circles and rectangle
JJ.29 Ratio of area and length of sides
JJ.30 Partition of a circle
JJ.31 Four sectors in a square
JJ.32 Two circles with a shaded area
JJ.33 Trapezoid and three sectors
JJ.34 12 points on a circumference
JJ.35 Divide quarter sector into 36 portion
JJ.36 Bending paper tape right-angled
JJ.37 Fold and cut a rectangular paper
JJ.38 Fold a circle twice and open
JJ.39 Rotate triangle around a rectangle
JJ.40 A circle moves around a figure
JJ.41 Rotation of a triangle
JJ.42 Movement of rectangle overlapping triangle
JJ.43 Four points on the side of rectangle
JJ.44 Moving point on the side of rectangle
JJ.45 Extension of sides of quadrangle
JJ.46 Partition of rectangle and three points
JJ.47 Partition of trapezoid to be triangle
JJ.48 Partition of parallelogram to find area
JJ.49 Six squares overlap sectors
JJ.50 Overlapping of rectangle and circle
JJ.51 Triangle and trapezoid
JJ.52 Triangle in rectangle
JJ.53 Partition of right hexagon
JJ.54 Another partition of right hexagon
JJ.55 Make right hexagon of parallelograms and trapezoids
JJ.56 Divide rectangle into three figures
JJ.57 Cut squares out of rectangular paper
Geometry (Solid figure)
KK.2 Development view of cube with numbers
KK.3 Development view of quadrangular pyramid
KK.4 Shadow of quadratic prism
KK.5 Solid of revolution of trapezoid
KK.7 Cut cube to be development view
KK.8 Triangular pyramid from rectangular paper
KK.9 Solid with eight equilateral triangles
KK.10 Assemble development view
KK.11 Development view of rectangular prism
KK.12 Projection view of solid
KK.13 Solid made by cutting quadrangular pyramid
KK.14 (Deleted) Pile up cubes on a square mat board
KK.15 Accumulated cubes and paint
KK.16 Shortest line on solid
KK.17 Number of spots of dice
KK.18 Sum of number of spots of dice
KK.19 Difference of total surface area
KK.20 Cut line on the development view
KK.21 Another cut line on the development view
KK.22 Put two rectangular prism into water
KK.23 Three cylinders in water tank
KK.24 Four solids in water tank
Logical reasoning
LL.1 Numbers of stone taken out to make pair
LL.3 "Janken" game among three persons
LL.4 Find the number of honest person
LL.5 Which house is whose
LL.6 Ranking of shogi game among three
LL.9 Guess the color of the hut wearing
LL.10 Guess what I'm thinking
LL.11 Talk a rumor to ten persons
LL.12 Find a bag of fake gold coins
LL.13 Guess the color of the card
LL.14 Choose number from 1 to 10 by turns
LL.15 Round-robin tournament in five teams
LL.16 Rabbits in the hut
LL.17 Seats of six persons
LL.18 Tournament of soccer in eight teams
LL.19 Find one heavy ball by even balance
LL.20 (Deleted) Four different volume of iron balls