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Nada Junior High School Past Problems

arithmetic

There are four three-digit integers, and the following a to o are known.

ah. Neither is divisible by 9.

I. Some have one hundreds digit.

hare. The sum of the numbers in the hundreds is 22.

​ workman. The bottom two digits are 95,83,80,72.

​ E. If the number of hundreds is a prime number, the lower two digits are larger than 80, and if it is not, it is 80 or less.

At this time, if you subtract the second largest integer from the largest integer,​ Is.

However, a prime number is an integer of 2 or more and has no divisor other than that number and 1.

Arithmetic answer

185

<Explanation>

Of the one-digit numbers, there are four prime numbers: 2, 3, 5, and 7.
The number with one hundreds digit is either 180 or 172 from condition d and o, but condition a to 180 is inappropriate.

Therefore, one number is from 172 conditions d and o, and the hundreds digit is a prime number, so there is no other than a prime number.

The maximum number is 980, and the remaining two numbers are determined as 583 and 795 from the conditions a, d, and o.
Therefore, the second largest number is 795.

980-795 = 185

Science

The method of metamorphosis like aphids is called incomplete metamorphosis. This means that "although it molts, it becomes an adult without becoming a pupa", which is the source of wings at the larval stage, and often includes larvae that are equipped with it. Select all of the following insects that are incomplete metamorphosis.

​

① Dragonfly ② Cicada ③ Ladybugs ④ Mantis ⑤ Grasshopper​ ⑥ Beetle

Science answer

​①, ②, ④, ⑤

national language

Complete the Chinese character shiritori according to the following conditions.


[Condition 1] The Chinese characters in 1 to 6 can be combined with "horse" to create on-yomi idioms.
However, "horse" can be used in the first or second letter.
[Condition 2] You may change the reading of the Chinese characters in □.

​

​

1-2 bodies

-body  3  ―  3  Gaku

―Study 4―

4 Middle-Middle Road-

Road (example)-(example) present

-Reality-Actual 5

― 5 General ― General 6

* (Example) includes "ingredients".

(Harness → Tools → Realization)

Japanese answer

1-th power


2-Car

(A combination of "1-cow 2-car" and "1-cow 2-meat" is also possible as another solution of 1 and 2)


3-Power


4-Skill


5-Name Army (Soldier)

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