mathematics - hkephong kong attainment test 香港學科測驗 pre-secondary 1 中一入學前...

HONG KONG ATTAINMENT TEST香港學科測驗

Pre-Secondary 1中一入學前

Mathematics數學

Mock Paper 1模擬試卷（一）

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 – 30Seciton B: Questions 31 – 37

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 30 題乙部：第 31 至 37 題

2.全部題目均須作答。3.把答案寫在答題紙上。4.在答題紙上填寫學生姓名、班別及學號。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。

� 香港教育圖書公司

2教圖 HKAT 數學科模擬試卷及備試攻略小 6

Note:Not all diagrams are drawn to scale.

Section A (60 marks)Choose the correct answer. You only need to write down the letter preceding the selected answer.

注意：部分附圖不依比例繪畫。

甲部（60 分）選出正確的答案。學生只須填上所選答案前的英文字母。

1. Which of the following numbers is 10 300 000 when rounded to the nearest hundred thousand?

1. 下列哪一個數取近似值至十萬位後是 10 300 000？

A. 10 360 000B. 10 398 000C. 10 326 000D. 11 340 000

A. 10 360 000B. 10 398 000C. 10 326 000D. 11 340 000

2. Which of the following groups of numbers has 6 as their H.C.F. and 60 as their L.C.M.?

2. 下列哪一組數的 H.C.F. 是 6 而L.C.M. 是 60？

A. 2 × 2 × 5 ， 2 × 3 × 5B. 3 × 3 × 5 ， 2 × 2 × 5C. 2 × 3 × 5 ， 2 × 2 × 3D. 2 × 3 × 5 ， 2 × 3 × 3 × 5

A. 2 × 2 × 5 ， 2 × 3 × 5B. 3 × 3 × 5 ， 2 × 2 × 5C. 2 × 3 × 5 ， 2 × 2 × 3D. 2 × 3 × 5 ， 2 × 3 × 3 × 5

3. 3.5 × (12.57 - 7.17) ÷ 2.1

A. 2.1B. 8.5C. 9D. 9.5

3 � 香港教育圖書公司

4. Which of the following numbers has a value different from the others?

4. 下列哪個數的值和其他不相同？

A. 0.28

B. 725

C. 725%

D. 28%

A. 0.28

B. 725

C. 725%

D. 28%

5. Which of the following numbers has

the value of 3 34%?

5. 下列哪個數值相等於 3 34%？

A. 3.75B. 0.375C. 0.0375D. 0.00375

A. 3.75B. 0.375C. 0.0375D. 0.00375

6. Which of the following figures has the shaded area occupying 60% of the whole figure?

6. 下列哪個圖形的着色部分佔全圖的60%？

A.

C.

B.

D.


56 16% 0.53 7

12

7. Katy arranged the above three number cards in ascending order from left to right. Which of the following arrangements is correct?

7. 凱婷把上圖的三張數字卡由小至大並由左至右排列，下列哪一種排列是正確的？

A. 0.53 7

12 56 1

6%

B. 0.53 56 1

6% 7

12

C.

712

0.53 56 16%

D.

712

56 16% 0.53

8. If 3

+ 6

= 116

, then ++= ? 8. 如果3

+ 6

= 116，那麼

++=?

A. 1B. 3C. 6D. 7

A. 1B. 3C. 6D. 7

9. Charlie types 260 words in 5 minutes while Karl types 270 words in 6 minutes. How many words do Charlie type more than Karl per minute?

9. 志傑5 分鐘可以輸入 260 個字，志豪6 分鐘可以輸入 270 個字，志傑每分鐘比志豪多輸入多少個字？

A.5B. 7C. 10D.12

A.5B. 7C. 10D.12


10. A bottle can be filled with 0.55 L of water. How many bottles are needed to fill 5L of water?

10.一個水樽可裝 0.55 升水，如果要裝5 升水，最少需要水樽多少個？

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

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

11. The price of a fountain pen is $88.8, $0.6 more expensive than 9 times the price of a ball pen. How much should be paid to buy one fountain pen and two ball pens?

11.一支鋼筆的售價是 88.8 元，比一支原子筆售價的 9 倍貴 0.6 元，購買一支鋼筆和兩支原子筆應付多少？

A. $98.6B. $98.9C. $108D. $108.4

A. $98.6B. $98.9C. $108D. $108.4

12. 120 boxes of apples were delivered by

truck. 13

of the boxes were delivered

in the first round. 35

of the boxes

were delivered in the second round. How many boxes of apples were left?

12.貨車要運 120 箱蘋果，第一次運走

了其中13 ，第二次運走了其中

35 ，

剩下蘋果多少箱？

A.8B. 16C. 24D.32

A.8B. 16C. 24D.32


13. Which of the following solids has the number of faces that is not a multiple of 2?

13.下列哪一個立體圖形面的數目不是2 的倍數？

A.

C.

B.

D.

14. Which of the following figures has the most number of lines of symmetry?

14.下列哪一個圖形的對稱軸最多？

A.

C.

B.

D.


15. Which of the following solids has a rectangular cross-section after cutting?

15.下列哪一個立體可切割出長方形的截面？

A.

C.

B.

D.

16. Which of the following nets can be folded into a cuboid?

16.下圖中哪一個摺紙圖樣可以摺成一個長方體？

A.

C.

B.

D.


17. By placing together the above three figures, which of the following shapes cannot be formed?

17.利用上圖的三種圖形，不能拼砌成下列哪種圖形？

A. squareB. rectangleC. parallelogramD. trapezium

A.正方形B. 長方形C. 平行四邊形D.梯形

書局Bookstore

18. In the above diagram, the private car is to the north-east of the bookstore. Which direction is the private car heading for?

18.上圖中，私家車在書局的東北方向，私家車正向哪個方向行駛？

A. eastB. westC. north-westD. south-west

A.東B. 西C. 西北D.西南


19. The triangular prism in the above diagram is made up by bamboo sticks and clay dough. If one bamboo stick is added to the triangular prism, which of the following solids can be formed?

19.上圖的三角柱體用竹枝和泥膠砌成。如果增加一枝竹枝，可以把三角柱體改砌成下列哪一種立體？

A.hexagonal pyramidB. pentagonal pyramidC. cubeD.pentagonal prism

A.六角錐體B. 五角錐體C. 正方體D.五角柱體

17 : 30 04 : 13

Diagram 1圖一

Diagram 2圖二

20.Diagram 1 showed the departure time of a train. Diagram 2 showed the arrival time of the train. How long did the train travel?

20.圖一顯示火車開出的時間，圖二顯示該火車到站時間。火車行駛了多長時間？

A.10 hours 43 minutesB. 11 hours 17 minutesC. 11 hours 43 minutesD.28 hours 17 minutes

A.10 小時 43 分鐘B. 11 小時 17 分鐘C. 11 小時 43 分鐘D.28 小時 17 分鐘


21. In the above diagram, if the volume of each small cube is 8 cm3, what is the volume of the whole solid?

21.上圖中，如果小立方體每個的體積是 8 cm3 ，那麼立體的體積是多少？

A. 9 cm3

B. 56 cm3

C. 72 cm3

D. 80 cm3

A. 9 cm3

B. 56 cm3

C. 72 cm3

D. 80 cm3

Diagram 1圖一

Diagram 2圖二

22. In Diagram 1, four rectangles with the same width are obtained by cutting along the dotted lines of the 36 cm2 square. They are then put together to form the figure in Diagram 2. What is the perimeter of the figure in Diagram 2?

22.在圖一中，沿虛線將面積是 36cm2

的正方形剪成四個闊度相等的長方形，然後再拼成圖二的圖形，圖二的圖形周界是多少？

A. 24 cmB. 28 cmC. 30 cmD. 32 cm

A. 24 cmB. 28 cmC. 30 cmD. 32 cm


23. What is the volume of the above solid?

23.上圖立體的體積是多少？

A. 80 m3

B. 85 m3

C. 100 m3

D. 120 m3

A. 80 m3

B. 85 m3

C. 100 m3

D. 120 m3

24. The above diagram shows a container with some water. 6 cubes each with sides of 5 cm are put into the water and the water level rises. What is the reading on the container now?

24.如上圖所示，容器內盛有一些水，現把 6 個邊長是 5 cm 的立方體放入水中，容器內的水位線會升至哪個位置？

A. 0.75 LB. 0.85 LC. 0.9 LD. 0.95 L

A. 0.75 LB. 0.85 LC. 0.9 LD. 0.95 L


25. I n t h e a b o v e d i a g r a m , A i s a parallelogram and B is a triangle. The base of B is 2 times the base of A. If the area of B is 32 cm2, what is the area of the shaded part?

25.上圖中 A 是一個平行四邊形，B是一個三角形。且 B 的底是 A 的底的 2 倍，如果 B 的面積是32 cm2 ，求陰影部分的面積。

A. 48 cm2

B. 50 cm2

C. 52 cm2

D. 64 cm2

A. 48 cm2

B. 50 cm2

C. 52 cm2

D. 64 cm2

26. The ages of f ive members of a basketball team are 15, 14, 15, 18, 18 respectively. What is the average age of them?

26.參加籃球賽的五名隊員的年齡分別是 15 、 14 、 15 、 18 、 18 ，該隊隊員的平均年齡是多少歲？

A. 15B. 16C. 17D. 18

A. 15B. 16C. 17D. 18


27. The price of each watermelon was $28.8. According to the above chart, what was the difference in sales between the highest and the lowest?

27.每個西瓜的售價是 $28.8 ，根據上圖，西瓜銷量最多的一天和最少的一天收入相差多少？

A. $1400B. $1440C. $1880D. $2592

A. $1400B. $1440C. $1880D. $2592


28. According to the above chart, express the largest production of crops as a fraction of the total production of crops.

28.根據上圖，產量最多的農作物佔該地區農作物總產量的幾分之幾？

A.625

B.825

C.14

D.13

A.625

B.825

C.14

D.13


29. If 3P = 15, then 2P + 8 = ? 29.如果 3P = 15 ，那麼 2P + 8 =？

A. 5B. 10C. 15D. 18

A. 5B. 10C. 15D. 18

30. The price of a pack of milk is $b. Now there is a sale in the supermarket, a $2 discount is offered for the purchase of 6 packs of milk. How much should be paid for 6 packs of milk?

30.一盒牛奶的售價是 b 元，超級市場大減價，購買 6 盒牛奶可減 $2 。購買 6 盒牛奶應付多少元？

A. $(6b - 2)B. $(6b + 2)C. $6(b - 2)D. $(2b - 6)

A. $(6b - 2)B. $(6b + 2)C. $6(b - 2)D. $(2b - 6)

End of Section A甲部完


Section B (40 marks)Working steps must be shown in answering questions in this section unless specified otherwise.

乙部（40 分）除特別指明外，在回答本部問題時，須列出計算步驟。

31. The nets in figures 1 and 2 can be fo lded in to so l ids A and B respectively.

31.圖一及圖二的摺紙圖樣可分別摺成立體 A 及 B 。

(a) What are solids A and B? (Give the answer only) [2 marks]

(a)A 及 B 是甚麼立體？（只須寫出答案） [2 分 ]

(b) What is the volume of solid A? (Give the answer only) [1 mark]

(b)立體 A 的體積是多少？（只須寫出答案） [1 分 ]

(c) How many pieces of solid B at most can be put into solid A? [4 marks]

(c)立體 A 最多可盛載立體 B 多少個？ [4 分 ]


32. Mr Li is 36 years old this year, 3 times as old as Kent. How old will Kent be in 5 years? (Use equation to solve the problem and show your working) [4 marks]

32.李先生今年 36 歲，是家奇的 3 倍，5 年後家奇多少歲？（須用方程列式計算 ) [4 分 ]

33. The above figure is a cube. 33.上圖是一個立方體。

(a) The cube is cut along the dotted line. What is the shape of the cross-section? (Give the answer only) [2 marks]

(a)沿虛線能切割出甚麼形狀的截面？（只須寫出答案） [2 分 ]

(b) The cube is cut along the dotted line resulting in two new identical solids. What kind of solids are they? (Give the answer only) [2 marks]

(b)沿虛線切割出兩個相同的新立體，該兩個立體是甚麼？（只須寫出答案） [2 分 ]

(c) After cutting along the dotted line, how many more faces do the two new solids have when compared with the original solid? (Give the answer only) [2 marks]

(c)沿虛線切割後，兩個新立體的面的數目比本來的立體增加了多少個？（只須寫出答案） [2 分 ]


34. A baker made 60 cakes, 1120

were

strawberry cakes and the rest were chocolate cakes.

34.蛋糕師傅製作了 60 件蛋糕，其中

草莓蛋糕佔1120 ，餘下的是巧克力

蛋糕。

(a) What f rac t ion of cakes was chocolate cakes? (Give the answer only) [1 mark]

(a)巧克力蛋糕佔全部蛋糕的幾分之幾？（只須寫出答案） [1 分 ]

(b) The profit for each chocolate cake is $8. What was the total profit of the chocolate cakes? [4 marks]

(b)每件巧克力蛋糕可賺取 $8 ，售出所有巧克力蛋糕共賺取多少？ [4 分 ]

35. Johnson has 140 pieces of coins. 37 of

the coins are $0.2 coins, 17

are $0.5

coins and the rest are $1 coins.

35.志強有 140 枚硬幣，其中37是 2 角

的硬幣，17是 5 角硬幣，其餘的是

1 元硬幣。

(a) How many pieces of $0.2 coins does he have? (Give the answer only) [1 mark]

(a)他有 2 角硬幣多少枚？（只須寫出答案） [1 分 ]

(b) How many pieces of $1 coins does he have? (Give the answer only) [1 mark]

(b)他有 1 元硬幣多少枚？（只須寫出答案） [1 分 ]

(c) W h a t i s t h e t o t a l v a l u e o f Johnson’s coins? [4 marks]

(c)志強的硬幣總值多少？ [4 分 ]


36. The above two squares are of the same size. One of the squares is cut along the dotted line.

36.上圖是兩個大小相同的正方形，其中一個正方形沿虛線剪開。

(a) By placing together the above figures, what kind of quadrilaterals can be formed? (Give the answer only) [2 marks]

(a)利用上圖的圖形，可以拼砌出哪幾種四邊形？（只須寫出答案）

[2 分 ]

(b) A triangle was formed by placing together the above figures. What is the perimeter of the triangle? (Give the answer only. Please show the equation in terms of b) [2 marks]

(b)利用上圖的圖形拼砌出一個三角形，求三角形的周界。（只須寫出答案，答案以 b表示） [2 分 ]


37. (a) Which class had more latecomers? How many latecomers were there in total? (Give the answer only)[2 marks]

37. (a)哪班遲到的人數最多？共有多少人？（只須寫出答案）

[2 分 ]

(b) What was the average number of latecomers of Class 6A? [4 marks]

(b)6A 班平均每天遲到的人數是多少人？ [4 分 ]

(c) Which day had the least latecomers for Class 6B? Express the number of la tecomers tha t day as a percentage of total latecomers of Class 6B. (Give the answer only) [2 marks]

(c)6B 班遲到人數最少是哪一天？該天遲到的人數佔該班遲到的總人數百分之幾？（只須寫出答案） [2 分 ]

End of Test Paper測驗卷完

2教圖HKAT 數學科模擬試卷及備試精練小 6

倍數和因數

15 和 18 的第 100 個公倍數是多少？A. 27000 B. 9000C. 270 D. 90

• 學生不理解因數、倍數及公倍數是甚麼。

• 學生混淆最小公倍數的計算方法。

• 學生疏忽題中的重要字眼。

• 熟記因數、倍數及公倍數的概念。

• 計算 L.C.M.時，應列出數個倍數，取其最小的公倍數。

• 看清題意，注意題中的重要字眼，如：「第 100個」，「不是」等等。

• 若甲數能被乙數整除，甲數便是乙數的倍數。• 若甲數能被乙數整除，乙數便是甲數的因數。• 一組數的公倍數是其最小公倍數的倍數。

• 先找出 15和 18的最小公倍數。答案： 15的倍數有 15、30、45、60、75、90、105⋯ 18的倍數有 18、36、54、72、90、108⋯ 所以 15和 18的最小公倍數是 90。• 90就是 15和 18的第 1個公倍數，所以只要把 90乘以 100，便能找出第 100個公倍數。

答案：90×100=9000

所以正確答案是 B。

1. 6 和 20 的第 50 個公倍數是多少？ A. 60 B. 120 C. 3000 D. 6000

2. 如果☆的所有因數是 1、3、7、21，下列哪一個是☆的倍數？

A. 7 B. 14 C. 21 D. 35

如果△的所有因數是 1、2、3、4、6 和 12，下列哪一個不是它的倍數？A. 10 B. 12C. 24 D. 48

• 確定△是甚麼數字。答案：△的最大因數就是它本身，

所以△是 12。• 列出數個△的倍數。答案：12的倍數有 12、24、36、

48、60⋯• 看清題意，確定所需求的數字。答案：題中求「不是」△的倍數，四

個選項中 12、24、48都是12 的倍數，所以 10 不是△的倍數。

3

四則計算

1 5 12

13

2. ( ) ?− − × =

A. 13 B. 1

2

C. 116 D. 11

3

• 學生不懂得要把算式內的數值統一化成分數或小數。

• 學生習慣從左至右運算，忽略先乘除、後加減。

• 學生疏忽審題，錯誤計算。

• 看清題意，統一把數值化成分數或小數，注意把分數約至最簡，並認清小數點的位置。

• 如果有括號，應先計算括號部分，然後再先乘除，後加減。

• 看清數字與運算符號，按順序寫出各步驟。

進行四則混合計算時，如果有括號，應先計算括號部分，然後再先乘除，後加減。

• 先判斷要把算式內各個數值統一成分數還是小數。

答案：題目中的13是無限循環小數，不便化為小數計算，所以應把算式內各數值統一成分數計算。

• 根據運算口訣，一步步列寫運算步驟。

答案：

1 512

13

2

32

12

13

2

32

16

2

32

13

11

. ( )

( )

− − ×

= − − ×

= − ×

= −

=66

所以正確答案是 C。

先把小數寫成分數（分母是 10），整數部分不變，再把分數約簡，可先把分數化為假分數，方便以後的計算。

先計算括號部分，異分母先通分，再作加減運算。

先乘除，再進行加減運算。

最後把分數化為最簡的分數或帶分數。

1. 2 2 2 14

113

1 2. ( ) . ?− − × =

A. 1.1 B. 1.2 C. 1.5 D. 3.3

2. ( . ) ?2 5 16

12 2− × + =

A. 2.5 B. 7.5 C. 18 D. 30

14 教圖HKAT 數學科模擬試卷及備試攻略小 6

多項選擇題

經典試題分析

答題要點：此題型可考核多種不同的範疇的題目，宜運用排除法把明

顯不適當的選項删去，加快運算速度。

常見考核重點：多位數

常見考核重點：因數和倍數 ( 求公因數，公倍數 )

1 找出要取值的數位。2 觀察取值部分的下一個數字，用「四捨五入法」取近似值。

1 瞭解因數和倍數的概念。2 通過 A最大的因數確定 A的值，從而找出 A的倍數。

例：把 13 525 078取近似值至百萬位。A. 13 000 000 B. 13 500 000

C. 13 600 000 D. 14 000 000

例：如果 A的所有因數是 1、3、5、9、15、45，下列哪一個不是

A的倍數？A. 45 B. 75 C. 90 D. 135

15

常見考核重點：四則運算

常見考核重點：圓的特性

1 把算式中的數值統一轉換成分數。2 先計算括號部分，再先乘除，後加減。3 計算異分母分數加減時，應先通分，然後再加減。4 如果答案是分數應以最簡分數或帶分數表示。

1 找出長方形的長度與圓形的半徑（或直徑）的關係。2 運用長方形周界公式 (長 + 闊 ) × 2，計算長方形的周界。

例： ( . ) . ?0 7512

16

0 6− ÷ − =

A. 1

15 B.

512

C. 0.9 D. 2.4

例：右圖是兩個大小相同的圓形，圓形外圍有一個闊度是 10 cm的長方形。長方形的周界是多少？

A.. 20 cm B. 25 cm C. 40 cm D. 50 cm

mathematics - hkephong kong attainment test 香港學科測驗 pre-secondary 1 中一入學前...

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