Level 1

Operations

A.1 Number added to be over 1000 of the sum

A.2 2/3 of 5 hours and 15 minutes

A.3 Number of bottles filled with water

A.4 Magic square 3 x 3

A.5 Magic square 3 x 3 (2)

Properties

B.1 Operation with fraction (distribution)

B.2 Relationship of three integers (distribution)

Ratios and proportions

C.1 The volume when water freezes

C.2 Work done by two persons

C.3 List price discounted

C.4 Water pumped out of tank

C.5 Volume ratio of alcohol

C.6 Exchange rate of Yen and US dollar

C.7 Change of pondage of a dam

C.8 Compare height of three mountains

C.9 Distribution of three fruits

C.10 Time of raining

C.11 Sweets sold at a candy store

C.12 Drain away the water in the tank

C.13 Wrong scale of tape measures

C.14 Salt solutions in two beakers

C.15 Number of successive victories

C.16 Move water among three tanks

C.17 Product sold at three stores

C.18 Merger of three towns

C.19 Give and take between two persons

C.20 Number of work days of three machines

C.21 Ratio of weight and number of balls

C.22 Consumption tax inclusive price

C.23 Sales change in three months

C.24 Discounted price with no loss

C.25 Price of pork at butcher

C.26 Weight of the salt solution

C.27 Concentration of salt solution after operation

C.28 Janken and take marbles

C.29 Sales number in three months

C.30 Calculation of measure of time

C.31 Exchange rate of pound and won

C.32 Weight of log

C.33 Famous problem of bacteria

Problem solving (Velocity)

D.1 100 m dash

D.2 Average speed

D.3 Walk around the pond

D.4 Ship moves back and forth river

D.5 Walk on the escalator

D.6 Walk on another escalator

D.7 Angle at 7:18

D.8 Time of overlapping

D.9 Time of straight line

D.10 Number of steps and length of stride

D.11 Steps of mother and child

D.12 Passing each other of trains

D.13 Jiro pursue Taro

D.14 Fast clock and slow clock

D.15 Difference of three clocks

D.16 Three persons running around the pond

D.17 Train moves among three stations

D.18 Three needles in a disk

D.19 Speed of a car

D.20 Another 100m dash

D.21 Two bicycles in a tunnel

D.22 Reduce the speed on the way

D.23 Three persons' 100m race in pairs

D.24 Got over a pass

D.25 100 steps of escalator

D.26 Speed ratio of two persons

Transformations

E.1

Problem solving (Sum and difference)

F.1 Buy apple and orange

F.2 Repack oranges in the bag

F.3 Five persons in the train

F.4 Four integers of two digit

F.5 55 pieces of one and five yen coins

F.6 Test scores of five persons

F.7 Questionnaire to 41 students

Number sense / theory

G.1 Fraction can not be reduced

G.2 Divided by 4 and 5

G.3 Stakes to the perimeter of the rectangle

G.4 Hand out apples, oranges, and bananas

G.5 G.C.D. is 8

G.6 Divisible number of the product of integers

G.7 Decimals to be represented by fraction

G.8 Division to the 3rd decimal

G.9 Product of two integers is 44448888

G.10 Fraction denoted by the decimal

G.11 Sum and product of three integers

G.12 Integer divided by 4 and 5

G.13 Change one yen coins to five and ten coins

G.14 Five rectangles of same area

G.15 Three digit integer divide 1570

G.16 Add 5 or 2 to a integer to be multiple

G.17 Same remainder when three integers divided

G.18 Three kinds of fruit for children

G.19 Sum of odd number and even number

G.20 Bring all poles to one point

G.21 Sum of seven continuous integers

G.22 Sum of 16 consecutive integers

G.23 Shift of decimal point

G.24 Fraction between two fractions

G.25 Two fractions whose numerator is 1

G.26 Quotient of A/B is smaller than X

G.27 Operation of integers

Number of cases / Probability

H.1 Three digits number out of four cards

H.2 Four children between parents

H.3 Pair of two persons

H.4 No pair of two persons

H.5 White and black stones

H.6 Another three digits number of cards

H.7 Hand out presents to two persons

H.8 Hand out presents to two of four persons

H.9 Paint four places by four colors

H.10 Paint four places by three colors

H.11 How many rectangles

H.12 Sum of numbers of two spots of dice

H.13 Product of numbers of two spots of dice

H.14 Number of games of tournament game

H.15 Number of games of round-robin tournament

H.16 Represent 9 by sum of three integers

H.17 Four articles in four boxes with price tag

Patterns / Regularity

I.1 Time going up by elevator

I.2 Trees planted along the road

I.3 Make a square of "go" stones

I.4 Sequences of numbers of 1, 2, 3

I.5 50 times multiple of three

I.6 111111111 x 111111111 = ?

I.7 2006 times multiple of two

I.8 1 + 4 + 7 + 10 + ----- + 58 = ?

I.9 20th number of sequences

I.10 70th number of sequences

I.11 Arrangement of ● and ○

I.12 Intersections with straight lines

I.13 What day of the week

I.14 Three empty bottles for new bottle

I.15 Number of 50th decimal place

I.16 Sequence without multiple of 3 or 5

I.17 Square with black and white stones

I.18 What day of the week six years later

I.19 What day of the month

Geometry (Plane figure)

J.1 Area of trapezoid

J.2 Overlapped two triangles

J.3 Overlapped sector and trapezoid

J.4 Division of quadrangle

J.5 Divide L character type figure

J.6 Rearrangement of ten coins

J.7 Division of triangle into six

J.8 Area ratio of parallelogram and two triangles

J.9 Area of shadow area in a circle

J.10 Folding back of square

J.11 Partition of trapezoid

J.12 Partition of parallelogram

J.13 Rotation of square

J.14 Partition of triangle

J.15 Circle and triangle

J.16 Partition and area of trapezoid

J.17 Angle in a quadrangle

J.18 Circle and angle

J.19 Triangle and angle

J.20 Quadrangle and angle

J.21 Overlapped triangle and pentagon

J.22 (Deleted)

J.23 Length in rectangle

J.24 Triangle and three circles

J.25 Circle and square in a square

J.26 Partition of rectangle

J.27 Partition of parallelogram, homothetic

J.28 Paper tape around the equator of the earth

Geometry (Solid figure)

K.1 Development view is square

K.2 Cutting a cylinder

K.3 Same depth of the water in the vessel

K.4 Pole in the water

K.5 Solid made by rotation

K.6 Length of extended toilet paper

K.7 Assemble development view

K.8 String around the corn

K.9 Assemble development view and water in

K.10 Hexagonal column

Logical reasoning

L.1 How many liars in four ?

L.2 Move half distance of before

L.3 Crack chocolate bar

L.4 Share one cake

L.5 Fish burning machine

L.6 Chess tournament of four people

L.7 Five persons standing in a line