JLPT N4 事 thing, event

This kanji means thing or a matter. It is something that needs doing, is being done, is thought about, has happened. It is not a thing, an object. That kanji is 物 もの mono.

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Here are some examples:

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事実 じつ jijitsu fact, truth

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事務所 しょ jimu-sho office

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事務員 いん jimu-in office assistant

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事務室 しつ jimu-shitsu office room

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 事務用品 ようひん jimu-yōhin office supplies

Sometimes also: 文房具 ぶんぼう bunbōgu stationery

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事前 ぜん jizen prior, beforehand

登録 とうろく tōroku before you register

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事典 てん jiten encyclopedia

rear-end-traffic-accident

 事故  jiko accident

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Other situations where this kanji 事 is used, is in expressions and grammar patterns like:

事による ことによる koto ni yoru depends on

事がある ことがあります koto ga arimasu something has happened

が出来る  ことがきます koto ga dekimasu one can do

事なかれ主義 ことなかれしゅ koto-nakare-shugi 

let sleeping dogs lie, peace-at-any-price, don't rock the boat

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And then there is:

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仕事 ごと shigoto a job, work

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食事 しょく shokuji a meal

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記事  kiji newspaper article

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家事  kaji housework, chores

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返事 へん henji a reply

返事マダ henji mada no answer yet?

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火事  kaji a fire

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用事 よう yōji a task, something to do
どうしても用事があるので! There's something I've just got to do...

and many more...

JLPT N5 来 come

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東京に来たばかり とうきょうにきたばかり
tōkyō ni kita bakari   she has only just come to Tokyo
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サンリオキャラクターたちがパズドラに遊びに来るよ!
sanrio kyarakutaatachi ga pazudoru ni asobi ni kuru yo
The characters from Sanrio are going to come to play at Pazudoru
Goodness knows where that it! Never mind.
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nextweek
raishū   next week
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nextmonth
raigetsu   next month
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From the first of next month there's a whole lot happening and it is only 8%.  A mortgage, no doubt. Sure. 
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nextyear
rainen   next year

3.09 time words 時間

All these time words are used without the time particle ni. That is because the time is not a precise time, but a time-span. Maybe the very last one, because the Thursday is only one day in the week, you could perhaps add  ni for emphasis. All the other ones, because they are a longer time period, do not take  ni. In English one wouldn't have at or on after similar time words either. If you want to make the time period the topic of the sentence in Japanese, or just give it emphasis, you would add the particle wa.
Here is an example:
毎日バスで学校に通っています。
まいにちバスでがっこうにかよっています。
mainichi (no particle) basu de gakkō ni kayotte imasu
Every day (no preposition like on or at) I take the bus to school.
Here is another example:
先週新幹線で広島に行きました。
せんしゅうしんかんせんでひろしまにいきました。
senshū (no particle) shinkansen de hiroshima ni ikimashita
Last week (no on or at) I went on the bullet-train to Hiroshima.

6.07 infinitive 動詞

Some of the senior, more advanced constructions use the full verb, the dictionary form or sometimes called the verb-plain affirmative form. Sometimes this list is referred to as the -base form of the verb. On this page you will find all basic verbs with their correct dictionary form.

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The rules above also show how each verb changes to the  ~て-form, which is not unlike the English ~ing verb form in its application. Separate pages are given to explain the ~て-form of the Japanese verb.
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3.05 Maglev train マグレヴ

リニアモーターカー
This is the prototype of the Maglev Train, or Linear Motor Car that is being developed to initially run between Tokyo and Osaka. The train has no wheels, but works on the principle of magnetic levitation. It can achieve incredible speeds. However, one of the problems the designers have to overcome is the fact that between Tokyo and Osaka there are many hills, mountains and cities - Mt Fuji for one and that is a volcano. The cost is phenomenal, but obviously worth it. It should be noted that China has now got a slower version of this Maglev train. Nevertheless, Japan is still the front runner for this type of super-speed transportation.
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いちばんはやい  ichiban hayai  the fastest
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いちばんたかい  ichiban takai  the most expensive
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いちばんきれい  ichiban kirei  the most beautiful
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いちばんながい  ichiban nagai  the longest
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電車  densha  でんしゃ  Train
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未来の電車 みらい の でんしゃ  mirai no densha
Train of the future
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リニアモーターカー  Linear Motorcar