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Mathematics Senior High

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太郎さんと花子さんの学校で球技大会が実施される。競技の種類は, サッカー, バレー,テニスの3種類である。太郎さんと花子さんとその友人の合計8人は, 競技への参加方法について話している。次の会話を読んで, 問いに答えよ。 太郎:前回の球技大会ではみんな同じ競技に参加したから,今回の球技大会 では,どの競技にも8人のうちだれかが参加するようにして, あとで 情報交換しようよ。そうしたとき,どの競技に何人が参加することに なるのかな。 花子:どのような人数の組合せがあるか考えてみようよ。例えば, 8人を三 つに分けるとき, {1人, 1人, 6人) や {1人, 3人, 4人)など, 人数 ア|通りあることがわかるね。 t5 の組合せは 太郎:でも,競技の種類は3種類だから,それぞれサッカー, バレー, テニ スの場合を考えないといけないね。 花子:それには,人数の組一つに対して3種類の競技が対応するから{1人, 1人,6人}に対してなら| イ|通り, {1人, 3人, 4人}に対してな ウ|通りあるよ。 3b ら 太郎:以下同様に調べてもいいけど, 他に方法はないのかな。 花子:次のように考えたらどうかな。 に花子さんの考え-- 8個の○と2本の仕切り棒|を用意し, それらを横一列に並べて 左側の」の左にある○の個数をサッカーの参加人数 2本の」の間にある○の個数をバレーの参加人数 右側の」の右にある○の個数をテニスの参加人数 と対応させて考える。 右の図の場合なら ○○○|○○○|〇〇 サッカーが3人, バレーが3人, テニスが2人 となる。

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English Senior High

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●次の英文を読んで,設問に答えなさい。 Back in the 1960s/futurists predicted that the biggest problem/for Americans/in the year 2000/ would, be managing /all their free time. What happened? People in the U.S. /have all the timesaviig tools/they could want: jet travel,cell phones,microwave ovens/personal computers/and faxes. Yet/they work more,/not less, Unstructured time a day just to spend time with is hard to find:Obviously, (1) the futurists' idea was the opposite. In reality/ friendsor family the. Pore technology a society has, the less free time it has. Americans ín most cities feel/that time is scarce,that there is never enough of it. According to a social psychologist/ Robert Levine/we are experiencing (2) “a time famine." We are hungry/for time. People use/ their cell phones to stay/in touch with work when they are shopping for dinner or at the beach on the weekend. They have computersand fax machines at home so that they can be productive át any time of day or night. Everyone has 24 hours a day, of コ-ス (3) What Americans say they do not have is time to spendwith people/who are important to Course. 強,壁す them. In a recent survey, nearly three-quarters of the respondents said they needed more time oin3 with family and friends/and less stress, in order to feel satisfied.e A recent Harris 'poll*/showed' that American leisure time decreased almost 40 percent, within the past 20 years/but (4) that is only half the story. During that time, Americans' consumption increased/by 45 percent. When people buy more/they have to work more so they can pay/for the things they buy. (5One question on the poll askedif people agreed with the comment,/“Most of us Eighty-two percent/6f the respondents said yes. buy and/consume far more than)we need." るかに多い、 There is (6)good news. Many people in the United States/are trying to take back their time. Some people are choosing to have fewer possessions/and work less. Some people are changing priorities and making time for family and friends. Others are turning off their cell phones and taking time for leisure activities/ walking alonga beach at sunset, hiking up a hill to see the sunrise, taking a child/to the park/for the afternoon. Americans are discovering/that they want these things back/and they are the kinds of things/that only time can buy.

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