Operations
AAA.1
Properties
BBB.1
Ratios and proportions
CCC.1
Problem solving (Velocity)
DDD.1 Replacement of long hand and hour hand
DDD.2 Three persons moving on a circular pond
DDD.3 The 3rd hand on a circular clock
DDD.4 Two persons moving on an annular road
DDD.5 Two persons walking on a moving walkway
DDD.6 Going back and forth two points
DDD.7 Hour hand, minute hand and second hand
DDD.8 Three points moving on a circumference
Transformations
EEE.1 Three points moving on a rectangle
EEE.2 Two points moving in a square
EEE.3 Change of gas rate in several months
EEE.4 Taxi fare of two types of cars
Problem solving (Sum and difference)
FFF.1 Number of songs at concerts
FFF.2 Questionnaire on three subjects
FFF.3 Election of class representative
FFF.4 Put water in four vessels
FFF.5 Candies for children gathering
Number sense / theory
GGG.1 Put 48 balls into five boxes
GGG.2 Ten students roll three dice
GGG.3 Multiple of continued integers
GGG.4 Multiple of every number of each digit
GGG.5 Sum total of every number of each digit
GGG.6 Quotient is rounded off at 1st decimal place
Number of cases / Probability
HHH.1 Way of putting spots on the die
HHH.2 Same birthday in the class of 50 people
HHH.3 Take out balls from the bag
HHH.4 Three blue cards and five red cards
HHH.5 Arrangement of squares in order
HHH.6 Number of inverse order
HHH.7 Put 1~8 in a frame
Patterns / Regularity
III.1 Lottery of "Amidakuji"
III.2 Two machines displaying numbers on the rule
III.3 Table of integers written clockwise
III.4 Triangle of integers written counterclockwise
III.5 365 cards with date of one year
III.6 Time of display of crossing for trains
III.7 Removing cards based on the rule
Geometry (Plane figure)
JJJ.1 Rectangle moves and overlaps triangle
JJJ.2 Connected parallelograms
JJJ.3 Two circles moving in triangle
JJJ.4 Overlapping hexagon and heptagon
JJJ.5 Partition of right triangle
JJJ.6 Straight line dividing figure into three
JJJ.7 Circle moving around a figure
JJJ.8 Circle moving around hexagon
JJJ.9 Square moves in a triangle
JJJ.10 Compare area of black and white square
JJJ.11 Area ratio divided in sector
JJJ.12 Area ratio divided in parallelogram
JJJ.13 Area ratio divided in triangle
JJJ.14 Right dodecagon
JJJ.15 Tape winded around rectangular board
JJJ.16 Reflection in rectangle
JJJ.17 Triangle covered by squares
Geometry (Solid figure)
KKK.1 Piling up cubes and put red seals
KKK.2 Paint inside of rectangular prism
KKK.3 Cut surface of cube
KKK.4 Cut right quadrangular pyramid
KKK.5 Cut another quadrangular pyramid
KKK.6 Shadow of rectangular wall
KKK.7 Solid made by cutting cylinder
KKK.8 Volume ratio after cutting rectangular prism
KKK.9 Number of dice to be cut or not
KKK.10 Cutting line based on development view
KKK.11 Development view of solid with six faces of lozenge
KKK.12 Square pyramid and homothetic ratio
KKK.13 Shadow of block by streetlight
KKK.14 Shadow of box by stand light
KKK.15 Cut rectangular prism with planes parallel to faces
KKK.16 Rectangular prism and triangular pyramid
KKK.17 Piling up cubes and cut
KKK.18 Hollowing out rectangular prism
KKK.19 Cut piling up eight cubes
KKK.20 Number of cut to make development view
KKK.21 Vessel, water and bar
Logical reasoning
LLL.1 Find the way to go