測測你的直覺：生日悖論 - David Knuffke：英語精讀講義

哪一句最適合在解說開頭邀請聽眾建立一個假設情境？

1. I imagine a town with no cars.
2. Remember the town with no cars.
3. Imagine a town with no cars.

選出嵌入式問句語序正確、而且清楚表達門檻意義的句子。

1. How big you think the tank would have to be before the water reaches the mark?
2. How big do you think the tank would have to be before the water reaches the mark?
3. How big do you think would the tank have to be before the water reaches the mark?

用表示「高於」的兩個英文單字完成句子：The robot has ____ a 60% chance of finishing the maze.

完成表示「臨時假設」的固定片語：Assume ____ that every ticket costs the same.

請用這份講解中的兩字目標片語完成句子：With a fair coin, heads and tails are ____.

在這項生日計算中，ignore leap years 是要你怎麼做？

1. 假設每年只有364個可能的日期。
2. 在簡化計算中排除2月29日。
3. 在計算中排除整個二月。

哪一句既表示結果低得出乎意料，又讓判斷保持謹慎、不絕對？

1. The result is definitely surprisingly low.
2. The result may seem surprisingly low.
3. The result must be wrong because it is low.

請使用目標句型 There is a ... chance that 和 20 percent 完成機率句：There ____ the road will close tonight.

用表示「共同具有」的動詞補完整目標表達：Mia and Leo ____ the same birthday.

But with 365 days in a year 在句中有什麼作用？

1. 它給出機率的完整計算過程。
2. 它先提出一個背景事實，讓後面的結果顯得出人意料。
3. 它表示一年中只能有 365 個人過生日。

選出 that 後面語序正確的句子。

1. How it is possible that the lights turned on by themselves?
2. How is it possible that did the lights turn on by themselves?
3. How is it possible that the lights turned on by themselves?

在 The two finalists have even odds of winning 中，even odds 是什麼意思？

1. 兩位選手必須得到偶數分。
2. 兩位選手都一定會獲勝。
3. 兩位選手獲勝的機會大致相等。

完成表示目的的片語：To ____ the answer, we need more data.

哪一句適合在課堂中自然地引出一種可能的方法？

1. Let's look at one way to solve the puzzle.
2. Let's look one way to solve the puzzle.
3. Let's look at the only way to solve the puzzle.

請用 known 和正確的介系詞完成句子，以介紹幾何名稱：A shape with eight sides is ____ an octagon.

在句子 "The book deals with ocean pollution," 中，deals with 是什麼意思？

1. 這本書造成海洋污染。
2. 這本書避開海洋污染這個主題。
3. 這本書討論海洋污染。

在解題說明中，flip the problem 最可能是什麼意思？

1. 把寫著題目的紙翻到背面。
2. 從另一個角度處理同一個問題。
3. 停止處理這個問題。

請用本課中的完整句型完成句子：用 challenging 評價這個動作，並用 because 引出原因。Trying to sort these mixed-up files ____ they have no labels.

完成目標句型：There are many ____ you could organize the same event.

說話人剛剛描述了逐行檢查。請選出能轉向較簡單方法的句子。

1. Instead, it's easier to count the empty seats than to check each row one by one.
2. Instead of, it's easier to count the empty seats than to check each row one by one.
3. However, it's easier count the empty seats than to check each row one by one.

完成句子，讓兩種可能涵蓋所有情況：____ the shop is open, ____ it isn't. 使用 either ... or。

填入表示「合計為」的三個字片語：The four angles of a square ____ 360 degrees.

哪一個片語最能表示第二句是由第一句推導出的結論？The library closes in ten minutes. ____ we should check out our books now.

1. At first
2. For example
3. That means

哪一個句子表示「計算 50 − 12」？

1. Subtract fifty from twelve.
2. Add twelve to fifty.
3. Subtract twelve from fifty.

請用本課中表示「先從容易處理的一步開始」的兩個英文單字完成句子：If the project feels too big, ____.

請用本課中表示「只有一組兩個」的四字英文片語完成句子：First, compare ____ numbers.

請用重點結構補完表示結果的子句：The first game takes twenty minutes, ____ only ten minutes for the quiz.

請使用 A out of B 的比例結構補完句子：Eighteen ____ twenty players arrived on time.

請用表示「把專家加入討論」的片語完成句子：Let's ____ an expert before we decide.

每個置物櫃都必須有一個其他置物櫃沒有使用的編號。哪個句子表達了這項要求？

1. Every locker must have a popular number.
2. Every locker must have a unique number.
3. Every locker must have a special number.

在 'Two seats are already accounted for by Mia' 中，accounted for by Mia 是什麼意思？

1. 兩個座位已經分配給 Mia
2. 兩個座位還在等 Mia 找到它們
3. Mia 正在解釋為什麼有兩個座位

用表示「後面還有類似項目」的表達完成句子：Pack a hat, a water bottle, sunscreen, ____.

用表示「完整下降到較低終點」的片語完成句子：The price dropped ____ five dollars.

哪一項指令表示把之前列出的每個數學量都當作因數放入同一個乘積中？

1. Multiply all of those terms together.
2. Write all of those terms down.
3. Add all of those terms together.

請用 works out to 完成句子：The monthly cost ____ thirty dollars。

「at least one book」允許選擇什麼？

1. 一本書也不能選
2. 一本或更多本書
3. 只能選一本書

完成機率判斷：With a 60 percent chance of success, we have ____.

哪個句子正確使用了 The key to X is Y 來說明最主要的因素？

1. The key to a smooth trip are planning ahead.
2. The key to a smooth trip is planning ahead.
3. The key a smooth trip is planning ahead.

哪一句表示學校需求會隨著城鎮擴大而增加？

1. As the town grows, it needs more schools.
2. Because the town is large, it needs more schools.
3. If the town grows, it may need more schools.

請使用 much + fast 的比較級完成句子：With the new route, the bus gets there ____ than before.

請用 can 加上 pair 的被動形式完成句子：Each child ____ a partner.

用 is the same as 完成等價比較：Adding 4 and 6 ____ adding 6 and 4.

清單中的兩個項目包含完全相同的資訊。哪一句最能準確描述這種情況？

1. One of the entries is incomplete.
2. One of the entries is unrelated.
3. One of the entries is redundant.

用 so we divide by two 完成推理：Each pair appeared twice in our count, ____.

一項規則剛剛已針對某個案例獲得證明。哪個開頭最能表示下一個案例也遵循相同的邏輯步驟？

1. In spite of the evidence,
2. For an unrelated reason,
3. By the same reasoning,

某個量大約與 n² 成正比。哪個句子能正確描述它的成長方式？

1. It grows linearly.
2. It grows exponentially.
3. It grows quadratically.

選出能正確表達固定比例平方關係的句子。

1. The area of a circle is proportional to the square at its radius.
2. The area of a circle is proportional to the square of its radius.
3. The area of a circle is proportional with the square of its radius.

完成句子，用來描述一個眾所周知的弱點：I'm ____ remembering names.

哪一句中的 intuitively grasp 表示不經詳細分析就理解某件事？

1. After one example, Maya could intuitively grasp how the pattern changed.
2. Maya firmly grasped the handle with both hands.
3. Maya carefully calculated every value in the table.

請使用 seems、improbable、at first 和 that 這四個提示詞完成句子：It ____ such a small team could finish by noon.

使用 once 表示條件成立後結果隨之出現：____ you understand the map key, the symbols are easy to read.

用 make more sense 的正確形式完成句子：The map ____ after I read the key.

哪一句正確表達「這組票中的每一張都有效」？

1. Every one of these tickets is valid.
2. Every one of these tickets are valid.
3. Everyone of these tickets is valid.

蕨類植物因為沒有澆水而枯萎。哪一個後續句清楚表示仙人掌也因為同一個原因而枯萎？

1. For the same reason, the cactus wilted too.
2. On the other hand, the cactus wilted too.
3. At the same time, the cactus wilted too.

哪一項最能說明句中為什麼使用 winning the lottery twice？

1. Winning the lottery twice 在數學上不可能。
2. Winning the lottery twice 很罕見，但並非不可能。
3. Winning the lottery twice 對幾乎每個人來說都是經常發生的事。

請用目標片語 one example where 完成句子：This town is just ____ free buses have reduced traffic.

在這個句子中，哪一種理解最符合 actually aren't unlikely at all？

1. 它們完全不可能發生。
2. 它們的發生機率並不像一開始看起來那麼低。
3. 它們每次都必然發生。

使用 difficult 和 not as ... as 結構完成句子：After reading the instructions, Maya realized the task wasn't ____ it first seemed.