全港學生STEAM精英挑戰賽2026 – (博愛醫院陳楷紀念中學 – 高中組)

賽前注意事項:

  1. 本次比賽將包含20條選擇題。參賽者需在五個選擇內選一個正確的。
  2. 請老師預留60分鐘的時間用於學生比賽。我們嚴格遵守時間管理，以確保比賽的公平性和效率性。
  3. 請老師和參賽者在比賽期間保持冷靜，不必急於完成。
  4. 一旦進入網頁，計時器將立即開始倒數計時，所以請確保在按下連結之前已經準備妥當。
  5. 每位參賽者只有一次機會進行比賽，請確保在提交答案前仔細確認。重複提交將導致資格被取消，請謹慎操作。
  6. 請在開始後的60分鐘內完成試題。

Pre-match Notes:

  1. This competition will include 20 multiple-choice questions. Participants must choose one correct answer from five options.
  2. Teachers are requested to reserve 60 minutes for the student competition. We strictly adhere to time management to ensure fairness and efficiency.
  3. Teachers and participants are asked to remain calm during the competition and not rush to finish.
  4. Once you enter the webpage, the timer will start counting down immediately, so please make sure you are ready before clicking the link.
  5. Each participant has only one chance to compete; please ensure you double-check your answers before submission. Resubmission will lead to disqualification, so please proceed with caution.
  6. Please complete the questions within 60 minutes after starting.
請輸入密碼。Please enter password.

請先輸入參賽者資料,再按下頁開始。資料必須與登記比賽申請表的資料一致。
Please enter participant information, and then press Next button to start. The information must be the same as application.

1 / 20

Which of the following is an example of natural antimicrobial agents?
以下哪一項是天然抗菌劑的例子？

2 / 20

Which of the following is considered unstructured data?
以下哪一項被認為是非結構化數據？

3 / 20

In a nutrition optimization problem using 2 food items, if:
Hamburger costs $12 each and provides 512 kcal
Soya drink costs $5 each and provides 128 kcal
if daily energy requirement is ≥2,400 kcal, which inequality represents this constraint?
Let x be the serving quantity of Beef Hamburger and y be the service quantity of Malted Soya Milk, while $ C be the total amount of the food taken.

**在營養優化問題中使用2種食物時，若：
漢堡每個12元，提供512大卡
豆奶每個5元，提供128大卡
若每日熱量需求≥2,400大卡，正確的限制不等式為何？
設 x 為牛肉漢堡的份數，y 為麥芽豆奶的份數，而 C 美元為所選食物的總花費。

4 / 20

Which graph shows monthly temperature changes?
哪種圖表顯示每月的溫度變化？

5 / 20

In encoding a given string of text, which method is most effective in minimizing the average code length? 在編碼給定的文本字符串時，哪種方法最有效地最小化平均代碼長度？

6 / 20

In a diet optimization problem, the objective function typically represents: (在飲食優化問題中，目標函數通常代表什麼？)

7 / 20

If digits are 2, 4, 5, 7, which pair gives the LARGEST product?
如果數字是 2、4、5、7，哪對數字的乘積最大？

8 / 20

What is the main purpose of culturing microorganisms in a laboratory?
在實驗室中培養微生物的主要目的是什麼？

9 / 20

Why does the charging rate of a supercapacitor decrease in later stages?
為什麼超級電容器的充電速率在後期階段會降低？

10 / 20

The probability of event B occurring given that event A has occurred is called?
已知事件A發生的條件下，事件B發生的機率稱為？

11 / 20

In an exponential growth model for disease spread, the formula y=2x implies: (在疾病傳播的指數增長模型中，公式 y=2x 意味著：)

12 / 20

In a nutrition optimization problem using 2 food items, if:
Hamburger costs $12 each and provides 512 kcal
Soya drink costs $5 each and provides 128 kcal
What is the correct objective function to minimize total cost (C)?**
Let x be the serving quantity of Beef Hamburger and y be the service quantity of Malted Soya Milk, while $ C be the total amount of the food taken.

**在營養優化問題中使用2種食物時，若：
漢堡每個12元，提供512大卡
豆奶每個5元，提供128大卡
下列哪項是「最小化總成本(C)」的正確目標函數？**
設 x 為牛肉漢堡的份數，y 為麥芽豆奶的份數，而 C 美元為所選食物的總花費。

13 / 20

When researching for climate trends, why is 30-year climate data more reliable than single-year data?

當製作氣候趨勢圖的時候，為什麼30年的氣候數據比單一年的數據更可靠？

14 / 20

If 10 people are infected today and the number doubles daily, how many are infected in 3 days? (如果今天有 10 人感染，且每天感染人數加倍，3 天後有多少人會感染？)

15 / 20

What is the binary number 1010 in denary? (二進制數 1010 在十進制中是什麼？)

16 / 20

What is the relative error if the measured value is 20 and the actual value is 18? (如果測量值為 20，而實際值為 18，相對誤差是多少？)

17 / 20

If Brand A users have a 90% loyalty rate, the probability they switch to Brand B is: (如果 A 品牌用戶的忠誠度為 90%，他們轉向 B 品牌的概率是：)

18 / 20

GPS helps determine: (GPS 有助於確定：)

19 / 20

Which of the following best describes big data?
以下哪一項最能描述大數據？

20 / 20

A dataset contains the numbers {a, 4, 6, 4, 9}, where a is an unknown integer. If the mode of the dataset is uniquely 4, which of the following must be true about a?
某數據集包含數字 {a, 4, 6, 4, 9}，其中 a 為未知整數。若該數據集的眾數唯一且為4，則 a 必須滿足下列哪一條件？

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