Math New Drill : Level 2 : Velocity Problem4 ATOMIGAKUEN-2014

Between the mountain top and foot of 3600 m two cable cars of A and B is scheduled to be operated as graph below.
It takes 32 minutes for descent and 40 minutes for ascent for both cable cars and they advance with a fixed speed.



Answer the following questions.

(1) As scheduled, A and B left at the same time.
How many meters from the foot do 2 cable cars pass each other first?

(2) Since it took time for checking, B was late to start descending for 10 minutes.
How many meters from the foot do 2 cable cars pass each other first in this case?

(3) The place where 2 cable cars pass each other was the spot in the middle of the top and foot of the mountain.
Answer which cable car was late to start in this case.
How many minutes was it late for leaving?

Math New Drill : Level2 : Patterns and Regularity Problem3 ATOMIGAKUEN-2014

The following sequence is lined in accordance with certain rules.




(1) Find the fourth number from the left of the seventh step.

(2) Find the second number from the right of the twelfth step.

(3) Find the sum total of numbers of the twelfth step.

Math New Drill : Level 1 : Geometry(Plane figure) Problem2(6) ATOMIGAKUEN-2014

Find the area of parallelogram ABCD of the figure below.

Math New Drill : Level 1 : Sum and Difference Problem2(5) ATOMIGAKUEN-2014

When 4 bottles of water are distributed to each member of a certain soccer team, 8 bottles remain.
When 5 bottles are distributed, 8 bottles run short.
Find the number of people of the team and the number of the bottle of water.

Math New Drill : Level 1 : Ratios and Proportions Problem2(4) ATOMIGAKUEN-2014

Hanako is solving problems of Sansue workbook every day.
She finished solving 72% of the number of all problems today.
If she solves 4 more problems, she would finish 80 %.
How many problems are there in all?

Math New Drill : Level1 : Sum and Difference Problem2(3) ATOMIGAKUEN-2014

It's 770 yen for 3 apples and 2 peaches.
It's 1950 yen for 5 apples and 6 peaches.
How much is it for 1 apple and 1 peach?

Math New Drill : Level 1 : Sum and Difference Problem2(2) ATOMIGAKUEN-2014

I bought same number of sheets of 50 yen stamp and 80 yen stamp, respectively.
The difference of the each total price was 540 yen.
How many sheets did I buy all together?

Math New Drill : Level 1 : Ratios and Proportions Problem2(1) ATOMIGAKUEN-2014

The ratio of 3 integers is 2 : 3 : 4 and the least common multiple is 144.
Find the sum of these 3 integers.

Math Exam.L1 : ATOMIGAKUEN-2014

Time : 50 minutes

Answer : End of the problem

Problem 1

(1) Calculation

2/3 - (5/6 - 4/9) / 7/3 =

(2) Calculation

1.12 × 3.2 + 1.12 × 2.7 - 1.12 × 0.9 = 

(3) Find X

15 - {37 - 4 × (9 - X)} = 6

(4) Find A, B and C

47/18 hours =   A  hours ,    B  minutes  and    C  seconds

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Problem 2

(1)

The ratio of 3 integers is 2 : 3 : 4 and the least common multiple is 144. 

Find the sum of these 3 integers.

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(2)

I bought same number of sheets of 50 yen stamp and 80 yen stamp, respectively. 

The difference of the each total price was 540 yen. 

How many sheets did I buy all together?

---

(3)

It's 770 yen for 3 apples and 2 peaches. 

It's 1950 yen for 5 apples and 6 peaches. 

How much is it for 1 apple and 1 peach?

---

(4)

Hanako is solving problems of Sansue workbook every day. 

She finished solving 72% of the number of all problems today. 

If she solves 4 more problems, she would finish 80 %. 

How many problems are there in all?

---

(5)

When 4 bottles of water are distributed to each member of a certain soccer team, 8 bottles remain. 

When 5 bottles are distributed, 8 bottles run short. 

Find the number of people of the team and the number of the bottle of water.

---

(6)

Find the area of parallelogram ABCD of the figure below.

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Problem 3

The following sequence is lined in accordance with certain rules.

(1) Find the fourth number from the left of the seventh step.

(2) Find the second number from the right of the twelfth step.

(3) Find the sum total of numbers of the twelfth step. 

---

Problem 4

Between the mountain top and foot of 3600 m two cable cars of A and B is scheduled to be operated as graph below. 

It takes 32 minutes for descent and 40 minutes for ascent for both cable cars and they advance with a fixed speed. 

Answer the following questions. 

(1) As scheduled, A and B left at the same time. 

How many meters from the foot do 2 cable cars pass each other first? 

 (2) Since it took time for checking, B was late to start descending for 10 minutes. 

How many meters from the foot do 2 cable cars pass each other first in this case? 

 (3) The place where 2 cable cars pass each other was the spot in the middle of the top and foot of the mountain. 

Answer which cable car was late to start in this case. 

How many minutes was it late for leaving?