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數學科HKAT分類練習及模擬試卷

20

甲部   在□內填上代表答案的英文字母。

1. 右圖中,O 是圓心,圖中有半徑多少條?

A. 1 B. 2

C. 3 D. 4

2. 用 4 枝竹籤拼砌成一個正方形,這些竹籤又可拼砌成下列哪一個圖 形?

A. 菱形 B. 長方形 C. 梯形 D. 不等邊三角形

3. 右圖是一個正五邊形,在圖中不能找到下列哪一種圖形?

A. 等腰三角形 B. 菱形

C. 長方形 D. 梯形

4. 在下列哪一個平面圖形上只加畫一條線,可分割出三角形和平行四 邊形各一個?

A. B. C. D.

• 下表顯示各種四邊形的特性:

特性 正方形 長方形 平行四邊形 梯形 菱形

四邊相等 3 3

只有對邊相等 3 3

只有一組對邊平行 3

兩組對邊平行 3 3 3 3

四角相等 3 3

只有對角相等 3 3

• 圓的認識:

1. 圖形 A 是一個( 正方形 / 平行四邊形 / 菱形 )。

2. 一個圓形的半徑長 4 cm,它的直徑長( 2 cm / 6 cm / 8 cm )。

温習營

I. O 是圓心。

II. OA、OB 和 OC 是圓的半徑。

III. AB 是圓的直徑,直徑長度是半徑長度的 2 倍。

A O B

C

A

半徑必定穿過圓心。 O 小提示:

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六年級 21 日期:

5. 用右面 4 個三角形可拼砌成下列哪一種四邊形?

A. 正方形 B. 長方形 C. 平行四邊形 D. 菱形

6. 右圖中,O 是圓心,圓的半徑是 3 cm,四邊形 ABCD 的周界是多少?

A. 6 cm B. 12 cm C. 18 cm D. 24 cm

7. 最少需要不等邊三角形多少個才可拼砌出一個平行四邊形?

A. 2 B. 3 C. 4 D. 5

8. 在正方形手工紙上加畫一條直線,不可能分割出下列哪一組圖形?

A. 2 個等腰直角三角形 B. 1 個五邊形和 1 個直角三角形

C. 1 個直角三角形和 1 個梯形 D. 1 個正方形和 1 個長方形 9. 右圖共有正方形多少個?

A. 9 B. 10 C. 11 D. 12

10. 右圖由 4 個大小相等的圓形組成,AB 長 48 cm,

每個圓形的直徑長多少?

A. 12 cm B. 24 cm C. 16 cm D. 32 cm

乙部   回答下列問題。

11. (a) 弟弟要用直角三角形手工紙 Y 拼砌成以下的圖形,

在圖中加上直線,畫出他的拼砌方法。

(b) 上圖中,每張手工紙分別佔全圖的百分之幾?

佔全圖的 。

A

C

D O B

A B

手工紙 Y

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Time allowed for the test: 50 minutes 測驗時間:50分鐘

Instructions:

1. This test contains two sections:

Section A: Questions 1 – 30 Section B: Questions 31 – 36 2. Answer ALL questions.

3. Write your answers on the answer sheet.

4. Write your name, class and class number on the answer sheet.

5. You may do your rough work in the blank space of this test booklet and there is no need to rub it out after the test.

6. The use of calculator is not allowed.

學生須知:

1. 本測驗卷共有兩部分:

甲部:第1至第30題

乙部:第31至第36題 2. 全部題目均須作答。

3. 把答案寫在答題紙上。

4. 在答題紙上填寫姓名、班別及班號。

5. 學生可利用本測驗卷的空白部分做算草,測驗完畢後無須將算草擦去。

6. 不准使用計算機。

HONG KONG ATTAINMENT TEST (Pre-Secondary 1)

中一入學前  香港學科測驗

Mathematics 數學科

Primary 6 六年級

Mock Paper 4

模擬試卷(四)

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數學科HKAT分類練習及模擬試卷 6

12. There is a bottle of shampoo. The weight of shampoo with the bottle is 2.4 kg. When one-third of the shampoo is used, the weight of the remaining shampoo with the bottle is 1.7 kg. What is the weight of the bottle?

A. 0.3 kg B. 0.7 kg C. 1 kg D. 2.1 kg

13. The supermarket held a sale. Food were sold at 25% off. Drinks were sold at 20% off. Danny bought one each of the following items.

How much should he pay?

A. $60 B. $61.9 C. $62.1 D. $64

A. $60 B. $61.9 C. $62.1 D. $64

12. 一瓶洗髮水連瓶重 2.4 kg,用去 三分之一瓶洗髮水後,剩下的 洗髮水連瓶重 1.7 kg。該瓶子的 重量是多少?

A. 0.3 kg B. 0.7 kg C. 1 kg D. 2.1 kg

13. 超級市場舉行大減價,食物以 七 五 折 發 售 , 飲 料 以 八 折 發 售。偉棟購買了以下貨品各一 件,他應付款多少?

Item 貨品 Marked Price 標價

Mineral water

礦泉水 $18.00

Cheese cake

芝士蛋糕 $42.00

Orange juice

橙汁 $20.00

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ock Paper 4

M

六年級  © 樂思教育出版有限公司

7

14. Ada used the above net to form a solid. How many vertices and edges does the solid have?

No. of vertices No. of edges

A. 5 8

B. 6 6

C. 6 9

D. 10 14

15. Victor drew a straight line on a piece of square craft paper and divided it into one triangle and one trapezium. Which of the following statements must be correct?

I. This triangle has one right angle.

II. This trapezium has two right angles.

III. This trapezium has two acute angles.

A. I and II only B. I and III only C. II and III only D. I, II and III

14. 明慧利用上圖的摺紙圖樣摺成 一個立體,該立體有多少個頂 和多少條棱?

頂的數量 棱的數量

A. 5 8

B. 6 6

C. 6 9

D. 10 14

15. 小威在一張正方形手工紙上畫 一條直線,把它分為一個三角 形和一個梯形。以下哪項必定 是正確的?

I. 這個三角形有一個直角。

II. 這個梯形有兩個直角。

III. 這個梯形有兩個銳角。

A. 只有 I 及 II B. 只有 I 及 III C. 只有 II 及 III D. I、 II 及 III

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ock Paper 4

M

六年級  © 樂思教育出版有限公司

17

32. Miss Tam wants to buy a mobile phone. The instalment plans for the payment of the mobile phone offered by a shop are as follows:

(a) If she buys the mobile phone u s i n g P l a n A, h o w m u c h should she pay altogether?

[4 marks]

(b) If she buys the mobile phone u s i n g P l a n B, h o w m u c h should she pay altogether?

(Give the answer only)

[2 marks]

(c) She decided to buy the mobile phone using Plan A. As she is a member of that shop, she can enjoy a 10% discount on the 1st instalment. How much should she pay altogether?

(Give the answer only)

[2 marks]

32. 譚小姐想購買一部手提電話,

以下是在某商店購買該手提電 話的兩個分期付款計劃:

(a) 如果她以計劃 A 購買該部手 提電話,她應共付款多少?

[4 分]

(b) 如果她以計劃 B 購買該部手 提電話,她應共付款多少?

(只須寫出答案) [2 分]

(c) 她決定以計劃 A 購買該部手 提電話。由於她擁有該商店 的會員卡,首期的供款可享 有九折優惠。她應共付款多 少?(只須寫出答案) [2 分]

Plan A 計劃 A

12 monthly instalments 分 12 期付款

• $1000 for 1st instalment   首期供 $1000

• $228 for each instalment     thereafter

  以後每期月供 $228

Plan B 計劃 B

18 monthly instalments 分 18 期付款

$220 for each instalment

(no payment will be required for  the 6th and 12th instalments) 每期月供 $220 

(第六期及第十二期無須供款)

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