H6―2022―

学

科（多肢選択式）試験問題
注

意

事

項

1．問題は 26 題
（20 ページ）
で、解答時間は 2 時間です。
2．この問題集で単位の明示されていない量については、全て国際単位系（SI）を用いることとします。
3．この問題集は、本試験種目終了後に持ち帰りができます。
4．本試験種目の途中で退室する場合は、退室時の問題集の持ち帰りはできませんが、希望する方には後ほど渡します。別途試験官の指示に従ってください。なお、試験時間中に、この問題集を切り取ったり、転記したりしないでください。
5．下欄に受験番号等を記入してください。

第１次試験地

受験番号氏

名指示があるまで中を開いてはいけません。
途中で退室する場合………本試験種目終了後の問題集の持ち帰りを希望しない【No． 1】 a を正の定数とする。不等式 2x - 3 E a を満たす整数 x がちょうど８個存在するような a の範囲として正しいのはどれか。
1． 5 1 a 1 10
2． 5 E a 1 9
3． 7 1 a 1 9
4． 7 E a 1 9
5． 7 E a E 10【No． 2】 2 次方程式 x 2-2ax+2a+3 = 0 が共に 2 より大きい相異なる実数解をもつための定
数 a の範囲として正しいのはどれか。
1． a 1 -1，3 1 a
2． -1 1 a 1 3
3． 2 1 a 1

72

4． 3 1 a 1

7
2

5． a 2 31

H6 2022 学科（多肢）

【No． 3】 AB = 5，AC = 3，+BAC = 120°の 9ABC について、+BAC の二等分線と辺 BCとの交点を D とするとき、線分 AD の長さはいくらか。

1．

9
8

2．

3
2

3．

15
8

4．

9
4

5．

21
8

【No． 4】 a，b，c，d，e の 5 人が三つの部屋 A，B，C に入るとき、空き部屋がない場合の入り方は全部で何通りあるか。
1． 147 通り
2． 150 通り
3． 153 通り
4． 240 通り
5． 243 通り

2

H6 2022 学科（多肢）

【No． 5】 等式 abc-5ab+2ac-10a = 8 を満たす三つの整数の組（a，b，c）の個数はいくらか。
1． 30 個2． 36 個3． 40 個4． 44 個5． 50 個【No． 6】 平行四辺形 ABCD において、辺 BC，DA

CD の中点をそれぞれ M，N とし、AM，AN と対

Q

角線 BD の交点をそれぞれ P，Q とする。AB = 4，
BC = 6，BP = 2 であるとき、PQ の長さはいく

4

2

らか。

M
B

1．

N

P

5
3

6

C

2． 2
3．

7
3

4．

5
2

5． 3

3

H6 2022 学科（多肢）

【No． 7】 a 2 1 のとき、a 2 +9の最小値はいくらか。
a -1
2

1． ３
2． ４
3． ５
4． ６
5． ７

【No． 8】 連立不等式 x 2+y 2 E 4，x+2y+2 F 0 の表す領域を D とする。点 P（x，y）が領域 D
内を動くとき、2x+y の最大値と最小値の組合せとして正しいのはどれか。
最大値

最小値

1． 2 5-4

2． 2 5-2

3． 3 50

4． 3 5-4

5． 3 5-2

4

H6 2022 学科（多肢）

【No． 9】 cos i+cos 2 i = 1（0 E i 1 2r）のとき、sin 6 i はいくらか。

1．

5 -2
2

2．

5 -1
2

3． 5 - 2
4． 5 -1
5． 5【No． 10】 4 3 ，5 4 ，6 5 の大小を比べ、小さい順に並べたものとして正しいのはどれか。
1．4 3 1 5 4 1 6 5
2．4 3 1 6 5 1 5 4
3．5 4 1 4 3 1 6 5
4．5 4 1 6 5 1 4 3
5．6 5 1 4 3 1 5 4

5H6 2022 学科（多肢）

【No． 11】 関数 f（x）
が等式
f ]xg = 2x +を満たしているとき、

1． -# tf ]tg dt
20# tf ]tg dt の値はいくらか。
2

0

16
3

2． -4
3． 0
4． 4
5．

16
3

n

【No． 12】 数列 "an, の第 n 項が an = 1+3+3 2+…+3 n-1 = ! 3 k-1 で表されるとき、"an, の初
k=1

項から第 100 項までの和はいくらか。

1．

3 99 - 342．

3 100 - 343．

3 100 - 203
44．

3 101 - 3
45．

3 101 - 203
46H6 2022 学科（多肢）

【No． 13】 座 標 空 間 内 の 4 点 A（0，-1，1），B（2，0，0），C（1，0，1），D（t，2，0）（t は 実 数 ）が同一平面上にあるとき、t の値はいくらか。
1． -2
2． 0
3． 2
4． 4
5． 6

7

H6 2022 学科（多肢）

【No. 14】 次の㋐〜㋓のうち、下線部の語句を各行右側の（）
内の単語に置き換えた場合においても、ほぼ同じ意味の文になるもののみを挙げているのはどれか。
㋐ The unclear question by the student left the teacher confused.

（vague）㋑ This cloth has a complex pattern of flowers.

（splendid）㋒

It is incredible to me that he accepted the offer.

（unbelievable）㋓

We had enough time to call on her.

（excessive）

1．㋐、㋑
2．㋐、㋒
3．㋐、㋓
4．㋑、㋒
5．㋑、㋓

【No. 15】 次のＡ、Ｂ、Ｃの（）内の㋐、㋑から、より適切なものを選び出したものの組合せとして最も妥当なのはどれか。
Ａ．She believes that honesty（㋐ pays

㋑ receives）in the long run.

Ｂ．I want to（㋐ come true ㋑ realize）my dream of traveling through space.
Ｃ．He isnʼt（㋐ answering
Ａ

Ｂ

Ｃ

1．

㋐

㋐

㋐

2．

㋐

㋐

㋑

3．

㋐

㋑

㋐

4．

㋑

㋐

㋐

5．

㋑

㋑

㋑

㋑ responding）the phone. He must be out.

8

H6 2022 学科（多肢）

【No. 16】 次のＡ、Ｂ、Ｃの（）
内の㋐、㋑から、より適切なものを選び出したものの組合せとして最も妥当なのはどれか。
Ａ．The presentation was given by Nao and Chihiro, both of（㋐ which㋑ whom）havestudied abroad.
Ｂ．The award will be given to（㋐ every ㋑ whichever）team makes the best proposal.
Ｃ．The program provides special training to help students practice（㋐ what ㋑ which）
is taught in the class.

Ａ

Ｂ

Ｃ

1．

㋐

㋐

㋑

2．

㋐

㋑

㋐

3．

㋑

㋐

㋐

4．

㋑

㋐

㋑

5．

㋑

㋑

㋐

【No. 17】 次のＡ、Ｂ、Ｃの（）内の㋐、㋑から、より適切なものを選び出したものの組合せとして最も妥当なのはどれか。
Ａ．He likes white rice better than（㋐ brown one㋑ brown rice）.

Ｂ．I have four balls here. One is black and the（㋐ ones
Ｃ．Something is wrong（㋐ in
A

B

C

1．

㋐

㋐

㋐

2．

㋐

㋑

㋑

3．

㋑

㋐

㋑

4．

㋑

㋑

㋐

5．

㋑

㋑

㋑

㋑ others）are all white.

㋑ with）this camera.

9

H6 2022 学科（多肢）

【No. 18】 次のＡ、Ｂ、Ｃの（）
内の㋐、㋑から、より適切なものを選び出したものの組合せとして最も妥当なのはどれか。
Ａ．The weight of the snow（㋐ caused ㋑ made）the roof to collapse.
Ｂ．The room was so noisy that I didnʼt hear my name（㋐ called㋑ calling）.

Ｃ．She has to have her homework（㋐ finish ㋑ finished）by Wednesday.
Ａ

Ｂ

Ｃ

1．

㋐

㋐

㋑

2．

㋐

㋑

㋐

3．

㋐

㋑

㋑

4．

㋑

㋐

㋐

5．

㋑

㋑

㋑

【No. 19】 次のＡ、Ｂ、Ｃの（）内の㋐、㋑から、より適切なものを選び出したものの組合せとして最も妥当なのはどれか。
Ａ．He notices hardly（㋐ any ㋑ few）difference in their clothes.
Ｂ．Reading books is on no（㋐ account㋑ way）a waste of time.

Ｃ．The new hypothesis has（㋐ already ㋑ yet）to be proved.
Ａ

Ｂ

Ｃ

1．

㋐

㋐

㋐

2．

㋐

㋐

㋑

3．

㋐

㋑

㋑

4．

㋑

㋐

㋐

5．

㋑

㋑

㋑

10

H6 2022 学科（多肢）

【No. 20】 次の英文の空欄Ａ、Ｂ、Ｃに当てはまるものを㋐、㋑、㋒から選び出したものの組合せとして最も妥当なのはどれか。
A crocodile in Indonesia that had a motorcycle tire stuck around its neck for six years
has had a huge weight lifted from its shoulders. The crocodile was set free by a 35-year-old
animal lover named Tili, in the city of Palu on the island of Sulawesi on Feb. 7, 2022. Like

著作権の関係で、掲載しません。

many Indonesians, Tili uses only one name. “I just canʼt stand to see animals hurt. Evensnakes, I will help,” said Tili, whose wildlife expertise is self-taught. His efforts are being
celebrated by locals ― and those who had attempted previous rescues ―Ａ.

It isnʼt clear how the crocodile, which at four metres＊1 is the length of a standard car,originally got the tire stuck around its neck. Wildlife wranglers＊2 from all over the world
had tried to free the crocodile after it was first spotted in 2016. In 2020, local conservation
officials even offered an unspecified reward for anyone who could free the crocodile. Thatsame year, American outdoor adventurer and TV presenter Forrest Galante attempted a rescue.
Galante said that he and his crew spotted the crocodile shortly after landing in Palu,
but were forced to leave the island because of the pandemic. They never got the chance toattempt a rescue. “We sat there and watched this crocodile from about 15 feet away forclose to an hour before he lazily slinked＊3 back into the river. And I was like, ʻOh my god,Iʼll never get another opportunity like that.ʼ” Galante was one of many who cheered along
while watching a live stream of Tiliʼs rescue effort.
Tili set up a basic trap with a rope tied to a log, using chicken and ducks as bait for theＢcrocodile. He tracked the reptile＊4 for three weeks,. Once caught, Tili and his

friends tied up the crocodile by binding its legs, tail and jaw, then used a hacksaw＊5 toremove the tire. “Many people were skeptical＊6 about me and thought I was not serious”
about capturing the crocodile, said Tili through a translator. Well, he certainly proved themwrong. And he likely saved the animalʼs life in the process.
Galante said the crocodile would probably have died if the tire hadnʼt been removed.
Eventually “he would have gotten so big that the tire would have begun to asphyxiate＊7 him
and restrict him taking food in,” he said. Of course,

Ｃ

.

＊1

metre = meter＊2

wrangler: 動物の世話をする人＊3

slink: to move somewhere very quietly and slowly＊4

reptile: は虫類＊5hacksaw: 弓のこ（歯の細かいのこぎり）＊6

skeptical: having doubts that a claim or statement is true or that something will happen＊7

asphyxiate: 窒息させる
11

H6 2022 学科（多肢）

㋐even though Tili calls himself a self-taught animal expert, donʼt try this one at home㋑

as it was thought the crocodile would eventually choke and die as it grew larger㋒

but the crocodile escaped the trap on two separate occasions before finally being

captured

Ａ

Ｂ

Ｃ

1． ㋐

㋑

㋒

2． ㋐

㋒

㋑

3． ㋑

㋐

㋒

4． ㋑

㋒

㋐

5． ㋒

㋐

㋑

12

H6 2022 学科（多肢）

【No. 21】 次の文の内容に合致するものとして最も妥当なのはどれか。
On Sunday, July 18, 2021, a social media post alerted me that a fire was burning in myhometown of Medford, Oregon, and I immediately called my father to make sure everything
was OK. Luckily, the small brush＊1 fire was already contained, and no one was harmed. I
felt a rush of relief; good news about fires during the summer is rare.

著作権の関係で、掲載しません。

Just last year, a brush fire ignited roughly a dozen miles south of Medford and quickly
spread to the nearby towns of Phoenix and Talent.

Dozens of wildfires were burning

throughout Oregon and state resources were spread thin, so local fire crews were forced tofight the fire without any reinforcements＊2. The fire burned around 2,800 buildings, largely
destroying two towns and leaving thousands homeless.
Unfortunately, the fire season in 2021 is shaping up to be just as bad. On July 20,
Oregon Governor Kate Brown announced at least nine large fires were burning across thestate. Currently, the largest wildfire in the US is Oregonʼs Bootleg Fire; burning just twohours away from my hometown, it has already consumed more than 413,000 acres and is only
53% contained.
After a warm, dry winter that brought less precipitation＊3 than expected, Oregonʼs fireseason started early and will likely get worse as summer continues. But Oregon isnʼt an
outlier＊4; nearly all of the American west looks the same. From British Columbia to Southern
California, the summer has brought a cornucopia＊5 of extreme climate emergencies to thewest coast of North America.
During the last week of June, most of the Pacific Northwest saw extreme heatwaves thatshattered previous records. In Portland, Oregon, temperatures reached 46.7 degrees Celsius;
the cityʼs public transit authority was forced to cancel light rail and streetcar service whenpower cables literally melted in the heat. That same day, the small town of Lytton in British
Columbia, Canada, broke national records for the third day in a row when temperatures roseto 49.6 degrees Celsius. A sudden wildfire destroyed more than 90% of the town shortly
after.
＊1brush: 雑木林＊2reinforcement: extra soldiers or police officers etc. who are sent to a place because
more are needed＊3

precipitation: 降水量＊4

outlier: 異常値＊5cornucopia: 非常にたくさんあること13

H6 2022 学科（多肢）

1．2021 年 7 月 18 日に筆者の故郷で生じた火災は、夏に発生した非常にまれな大規模火災であったが、すぐに鎮火され、けが人もいなかった。
2．2020 年にオレゴン州の 12 か所で山火事が発生したとき、地域の消防隊の人員が足りず多くの森林が焼けたが、町や住宅への影響はなかった。
3．オレゴン州のブートレッグ火災では、わずか 2 時間で同州の山の面積の 53 ％ に相当する
413,000 エーカー以上が焼けた。
4．暖かく乾燥した冬の影響で予想よりも春の降水量が少なくなったため、オレゴン州の火災シー
ズンは夏に状況が悪化すると考えられているが、これは同州のみで懸念される現象である。
5．カナダのブリティッシュコロンビア州の小さな町であるリットンにおける気温が摂氏 49.6 度にまで達し、 3 日連続で国の記録を更新した。

14

H6 2022 学科（多肢）

【No. 22】 次の文の内容に合致するものとして最も妥当なのはどれか。
How do we know where we are? How can we find the way from one place to another?
And how can we store this information in such a way that we can immediately find the way
the next time we trace the same path?

The 2014 Nobel Laureates have discovered apositioning system, an “inner GPS” in the brain that makes it possible to orient ourselves in

著作権の関係で、掲載しません。

space, demonstrating a cellular＊1 basis for higher cognitive function.

In 1971, John OʼKeefe discovered the first component of this positioning system. He
found that a type of nerve cell in an area of the brain called the hippocampus＊2 was always
activated when a rat was at a certain place in a room. Other nerve cells were activatedwhen the rat was at other places. OʼKeefe concluded that these “place cells” formed a mapof the room.
More than three decades later, in 2005, May-Britt Moser and Edvard Moser discovered
another key component of the brainʼs positioning system. They identified another type ofnerve cell, which they called “grid cells”, that generate a coordinate system＊3 and allow for
precise positioning and pathfinding. Their subsequent research showed how place and gridcells make it possible to determine position and to navigate.
The discoveries of John OʼKeefe, May-Britt Moser and Edvard Moser have solved aproblem that has occupied philosophers and scientists for centuries ― how does the brain
create a map of the space surrounding us and how can we navigate our way through acomplex environment?
The sense of place and the ability to navigate are fundamental to our existence. The
sense of place gives a perception of position in the environment. During navigation, it isinterlinked with a sense of distance that is based on motion and knowledge of previous
positions.
Questions about place and navigation have engaged philosophers and scientists for along time. More than 200 years ago, the German philosopher Immanuel Kant argued thatsome mental abilities exist as a priori＊4 knowledge, independent of experience.

He

considered the concept of space as an inbuilt principle of the mind, one through which theworld is and must be perceived. With the advent of behavioural＊5 psychology in the mid-20th
century, these questions could be addressed experimentally.

When Edward Tolman

examined rats moving through labyrinths＊6, he found that they could learn how to navigate,
and proposed that a “cognitive map” formed in the brain allowed them to find their way.
But questions still lingered ― how would such a map be represented in the brain?

15

H6 2022 学科（多肢）

＊1

cellular < cell: 細胞＊2hippocampus: 海馬（記憶に関わる脳の領域）＊3

coordinate system: 座標系＊4a priori: 先天的な

＊5

behavioural = behavioral＊6

labyrinth: 迷路

1．人間には GPS 機能が備わっているが、複雑な環境においては自身の位置情報を正確に把握することができない。
2．John OʼKeefe は、ラットを部屋に置いたとき、その位置にかかわらず脳内の特定の同じ神経細胞が常に活性化することを発見した。
3．May-Britt Moser と Edvard Moser の研究によって、どのようにして場所細胞とグリッド細胞が空間位置の決定やナビゲーションを可能にしているかが示された。
4．John OʼKeefe や May-Britt Moser と Edvard Moser の発見は、脳がどのように空間や道に関する情報を長期間保存しているのかという長年の疑問の回答となるものだった。
5．200 年以上前に、Immanuel Kant が生物の脳内には「認知地図」が先天的に備わっていると述べており、Edward Tolman はラットがその「認知地図」
に従って迷路を抜け出すことを発見した。

16

H6 2022 学科（多肢）

【Nos. 23 and 24】 Answer the two questions No.23 and No.24 about the following passage.
Choice and decision-making are fundamental aspects of life, and the choices people
make determine, in part, the quality of life. Bias is a factor in decision-making and can lead
to less-than-optimal decisions. We must learn to remove any potential unconscious bias fromour choices.
The following are three examples of common decision biases that should be considered

著作権の関係で、掲載しません。

in approaching most daily choices.
1. Present bias

Most of our everyday decisions have a time dimension, meaning that they involve
tradeoffs between costs and benefits occurring at different times. Such choices pervade＊1
our lives, from daily decisions to ones that can have lifelong consequences, such as saving
for retirement, education, and marriage.
For example, the main problem with most bad habits（e.g., overeating or procrastination＊2）is that. A desire to indulge in immediate pleasures may lead

us to overeat or to postpone unpleasant tasks, such as preparing for an exam. The healthconsequences, such as a shorter life, will come over a long-time horizon that we are unable
to realize now.
In general, we want things now rather than later. There is psychological discomfort
associated with self-denial. We also tend to think about our future selves as if they aresomeone else, wholly different from who we are today. Seeing that distant future self as anemotional stranger may result in decisions that prioritize today over tomorrow.
Reorienting＊3 an individual away from immediate gratification＊4 and toward making
more future-oriented decisions is a logical step. Myopic＊5 behavior is not set in stone. It
can change with experience and education.
2. Erroneous sense-making
We have a universal desire to find meaning and patterns everywhere. Making sense is a
deep human motivation, but making sense is not the same as being correct. As the saying
goes, “even a broken clock is right twice a day.” The world is complex, and appearances fool us.
A lot of what happens to us（e.g., success in our career, our life choices）is as much theresult of random factors as the result of preparedness and hard work.

For example, agraduating student can be lucky and enter the job market when it is strong, or unlucky andenter the job market in the middle of a recession. Other random factors include where you
are born, where you go to school, your health, and so on.
It is important that we recognize this built-in mental bias. Because events do not comelabeled random. Instead, this must be inferred. Our intuition＊6 does not grasp the nature of
randomness. Our intuitive mind is the sense-making organ, which sees the world as simple,
predictable, and coherent. This coherence makes us feel good.
3. Cherry-picking data
Cherry-picking data refers to selecting information that supports a particular view
while ignoring relevant contradictory evidence.

Belief beats out facts.

People tend toembrace information that supports their beliefs and reject information that contradicts
17

H6 2022 学科（多肢）

them. People can also selectively decide what information to pay attention to from the vast
amount of information available to them.
For example, a person who is already skeptical＊7 about vaccine safety would most likely
search for information confirming this belief.

This bias makes it difficult for new

information （the relative risks of vaccination versus the disease） to penetrate existing
beliefs. Similarly, a person with low self-esteem is highly sensitive to being ignored by other

著作権の関係で、掲載しません。

people, and they constantly monitor for signs that people might not like them.

Seeking to confirm our beliefs comes naturally, while it feels strong andcounterintuitive＊8 to look for evidence that contradicts our beliefs. This explains why
opinions survive and spread. Disconfirming instances are far more powerful in establishing
truth. A key to making a good decision is to treat your beliefs as hypotheses to be tested
rather than defending them.
＊1

pervade: to spread through and be noticeable in every part of something＊2

procrastination < procrastinate: to delay doing something that you ought to do,usually because you do not want to do it＊3

reorient: to change the focus or direction of somebody or something＊4

gratification: the state of feeling pleasure when something goes well for you or whenyour desires are satisfied＊5

myopic: unwilling or unable to think about the future, especially about the possible
results of a particular action＊6

intuition: the ability to know something by using your feelings rather than considering
facts

＊7

skeptical: having doubts that a claim or statement is true or that something will happen＊8

counterintuitive: the opposite of what you would expect or what seems to be obvious【No. 23】 Select the most suitable words from those below to fill in the blank space.

1．the costs as well as the pleasures from them occur in the present
2．the costs occur in the future, whereas the pleasures from them occur in the present
3．the costs occur in the future, whereas the pleasures from them do not occur in the present
4．the costs occur in the present, whereas the pleasures from them do not occur in the future
5．the costs occur in the present, whereas the pleasures from them occur in the future【No. 24】 Select the statement which best corresponds to the contents of the passage.
1．There are a variety of biases in life, so we need to learn how to get rid of them when we
make decisions.
2．Collecting evidence for a regular pattern is useful in discarding our beliefs.
3．People doubt whether or not the clock keeps accurate time.
4．As a lot of random factors influence life, there is no point in making any efforts.
5．We should be free from bias claiming that nature is random and complex.
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H6 2022 学科（多肢）

【No. 25】 次の会話の（）内に㋐〜㋗の語句を文意が通るように並べ替えて入れるとき、2 番目と 5 番目に来るものの組合せとして最も妥当なのはどれか。
Ａ：Letʼs go to this movie at the theater. The movie has Japanese subtitles in case viewers
have trouble following the conversation in English.

著作権の関係で、掲載しません。

Ｂ：That sounds like it might be fun. I have trouble with subtitles, though.
Ａ：Why is that?
Ｂ：I（）the character in the movie is really saying. If I understandthe English, I know the person who did the subtitles didnʼt include all theinformation.

㋐ annoying㋑ donʼt

2 番目

5 番目

1．

㋐

㋑

2．

㋒

㋓

3．

㋓

㋑

4．

㋓

㋕

5．

㋔

㋒

㋒ find㋓ it㋔ match19㋕ the subtitles㋖ what ㋗ when

H6 2022 学科（多肢）

【No. 26】 The pie charts below show the number of hours per week spent in a British
university library by the total student population, undergraduates, and postgraduates.
Select the statement which best corresponds what can be read from the charts.

Proportion of all students

Proportion of undergraduates

Proportion of postgraduatesby time spent in libraryby time spent in library
著作権の関係で、掲載しません。

by time spent in library

9%

15%

35%

50%

1 to 7 hours per week

17%

28%
63%

8 to 14 hours per week

51%
32%

15+ hours per week

1．A minority of undergraduates used the library for fifteen or more hours per week.
2．About a half of undergraduate students as opposed to nearly a third of postgraduate
students spent between eight and fourteen hours per week in the library.
3．Undergraduate students were less likely than postgraduate students to use the library,with just under one quarter of the former spending 1 to 7 hours per week in the library.
4．Comparing undergraduates and postgraduates, the percentages of students spending 1
to 7 hours per week and 8 to 14 hours per week in the library were very similar.
5．Overall, the proportion of postgraduate students who spent fifteen hours a week ormore in the library was very different from the entire student body who spent 1 to 7 hours
a week in the library.

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H6 2022 学科（多肢）