幼稚園K2 - 例題一 Sample Question 1

 

 

觀察規律，第 19 個圖案是甚麼？

Observe the pattern. What is the 19th shape? 

幼稚園K2 - 例題二 Sample Question 2

 

以下哪條手鏈與其他的不同？

Which of the following bracelets is different from the rest? 

幼稚園K2 - 例題三 Sample Question 3

 

 

兩個蘋果分別切成 8 片和 9 片。小明吃掉每個蘋果的 2 片。請問兩個蘋果總共剩餘多少片？

Two apples are cut into 8 and 9 slices respectively. Peter eats 2 slices from each apple. How many slices are left in total? 

幼稚園K2 - 例題四 Sample Question 4

 

一隻蝸牛在爬一段 20 米長的斜路。每天白天牠向前爬 5 米，晚上向後滑落 3 米。按這速度，蝸牛需要用多少天才能爬完這段斜路？

A snail is climbing a 20-meter slope. Each day it climbs 5 meters forward, but at night it slides back 3 meters. At this rate, how many days will it take the snail to reach the top of the slope? 

幼稚園K2 - 例題五 Sample Question 5

 

 

小明在家種了一棵豆苗。豆苗的葉子每天長出的數量都比前一天多一倍： 第 1 天有 1 片葉子，第 2 天有 2 片葉子，第 3 天有 4 片葉子。請問第 5 天有多少片葉子？

Peter planted a bean sprout at home. The number of leaves on the sprout doubles each day. On Day 1, there is 1 leaf. On Day 2, there are 2 leaves. On Day 3, there are 4 leaves. How many leaves will there be on Day 5?

幼稚園K3 - 例題一 Sample Question 1

 

5月1日是星期一，5月8日是星期幾？

If May 1st is a Monday, what day of the week is May 8th?

幼稚園K3 - 例題二 Sample Question 2 

 

 

爸爸把洗好的衣物掛在晾衣繩上。要把 3 條毛巾掛上，他需要 4 個夾子。 如果要把 6 條毛巾掛上晾衣繩，他需要多少個夾子？

Dad hangs the laundry on the clothesline. To hang 3 towels, he needs 4 clips. How many clips does he need to hang 6 towels on the clothesline? 

幼稚園K3 - 例題三 Sample Question 3 

 

 

2 個橙可以換成 5 條香蕉。晴晴用 4 個橙可以換成多少條香蕉？

Two oranges can be exchanged for 5 bananas. How many bananas can Mary get with 4 oranges? 

幼稚園K3 - 例題四 Sample Question 4

 

哪隻是左手？

Which is the left hand? 

幼稚園K3 - 例題五 Sample Question 5

 

 

圖中的圓形比正方形多幾多個？

How many more circles than squares are there in the diagram? 

小學P1 - 例題一 Sample Question 1

 

 

以上算式中， ■和★分別代表甚麼數字？

In the above equations, what numbers do ■and ★ represent respectively?

小學P1 - 例題二 Sample Question 2

 

有一串項鍊被剪斷，如下圖所示：

There is a broken necklace as shown in the figure below.

 

 

哪個是項鍊原來的樣子？

Which one shows the necklace in its original form?

小學P1 - 例題三 Sample Question 3

 

貓和老鼠向右移動。當老鼠跳 1 格時，貓同時跳 2 格。貓會在哪一格抓住老鼠？

A cat and a mouse are moving to the right. When the mouse jumps 1 tile, the cat jumps 2 tiles at the same time. On which tile will the cat catch the mouse?

小學P1 - 例題四 Sample Question 4

 

「一個停車場裡的所有車都是七人座位的。有些車是黑色的。所有白色車都都壞了。」下列哪一項是正確的？

“All cars in a car park are seven-passenger cars. Some of the cars are black. All white cars are broken down.” Which of the following is correct?

小學P1 - 例題五 Sample Question 5

 

在一個遊戲中，可以進行以下兌換。

In a game, the following exchanges are possible.

 

 

小明有 6 個梨。當他將所有梨兑換成士多啤梨時，小明將會有多少顆士多啤梨？

Peter has 6 pears. If he trades all his pears for strawberries only, how many strawberries will he have?

 

小學P2 - 例題一 Sample Question 1

 

如果齒輪G完全轉一圈後。 ★會位於哪個地方？

If gear G makes one complete turn, where will ★ be located?

 

小學P2 - 例題二 Sample Question 2

 

從 O 點出發，不能穿越牆壁，我們能到達哪個點？

Starting from point O, which point can we reach if we cannot pass through walls?

 

小學P2 - 例題三 Sample Question 3

 

 

請依照以下規則進行撲克牌排序任務：
撲克牌橫向排成一列。每一次移動，你只能交換相鄰的兩張卡牌，目標是用最少的移動次數，將卡牌按數字大小由左至右排列。要完成排列任務，最少需要移動多少次？

Card Sorting Task Rules:
The playing cards are laid out in a row. On each move, you may swap two adjacent cards. Your goal is to sort the cards in order from the smallest number on the left to the biggest number on the right, using the fewest moves possible. What is the minimum number of moves required to complete the task?

小學P2 - 例題四 Sample Question 4

 

下圖是無人駕駛汽車的測試場地，汽車開始時在中間格子裡，方向朝右。
The figure below shows a test field for an autonomous vehicle. The vehicle starts in the middle grid, facing right.

 

 

汽車可以執行下面指令:
It can execute the following commands:

F：前進1格 Move forward 1 grid

L：原地左轉 Turn left in place

R：原地右轉 Turn right in place

汽車重複執行「F-F-R」指令，以下哪項是在場地中行駛的路線？
The vehicle repeatedly executes the sequence “F-F-R.” Which of the following shows the path it travels in the field?

小學P2 - 例題五 Sample Question 5

 

下圖的黃色線代表路，路上的數代表走過這段路會消耗的體力值。從家到學校，最低消耗的體力值為多少？
The yellow lines in the figure below represent the paths, and the numbers on the paths indicate the stamina points consumed to travel that section. What is the minimum stamina required to get from home to school?

 

 

小學P3 - 例題一 Sample Question 1

 

假設今天是星期日，100 天後是星期幾？

Assuming today is Sunday, which day of the week will it be 100 days later?

小學P3 - 例題二 Sample Question 2

 

下列那個圖形不能一筆畫出？（不可重覆筆劃）

Which of the following shapes cannot be drawn in one stroke? (No repeated lines)

 

小學P3 - 例題三 Sample Question 3

 

觀察以下展開的骰子。

Observe the unfolded dice.

 

 

以下哪個是骰子各個面的合理組合？

Which of the following shows a valid combination of the faces of a die?

 

小學P3 - 例題四 Sample Question 4

 

 

老師在黑板寫上數字 1 至 8。然後老師用三角形、正方形和圓形蓋住這 8 個數字。如果把正方形蓋住的四個數字相加，總和是 10。如果把三角形蓋住的三個數字相加，總和是 20。哪個數字被圓形蓋住了？

The teacher wrote the numbers 1 to 8 on the board, then covered them with triangles, squares, and a circle. The sum of the four numbers under the square is 10. The sum of the three numbers under the triangle is 20. Which number is under the circle?

小學P3 - 例題五 Sample Question 5

 

有 4 個瓶子分別裝有水、啤酒、可樂、果汁。每個瓶子上都有一張標籤。

There are 4 bottles containing water, beer, cola, and juice. Each bottle has a label.

 

 

已知在裝有果汁的瓶子上的標籤內容是假的，其他瓶子上的標籤內容都是真的。請分辨每個瓶子裡分別裝的是什麼東西？

The label on the bottle containing juice is false, while the labels on the other bottles are true. What does each bottle contain?

 

小學P4 - 例題一 Sample Question 1

 

 

以上是一顆骰子的不同面，與 4 個點相對的那一面有多少個點？

The above shows different faces of a die. How many dots are on the face opposite the one with 4 dots?

 

小學P4 - 例題二 Sample Question 2

 

 

將 1、2、3、5、6、7 分別填入上面的方格中，使：

• 每行 (橫向) 3 個數的和相等

• 每列 (縱向) 2 個數的和也相等

表格中的A 方格應該填上甚麼數字？

Fill the numbers 1, 2, 3, 5, 6, and 7 into the grids above so that:

• The sum of the 3 numbers in each row is equal, and

• The sum of the 2 numbers in each column is also equal.

What number should go in grid A? 

小學P4 - 例題三 Sample Question 3

 

 

有三張撲克牌牌面朝下放成一排。按以下 4 項提示找出這三張是什麼牌：

1. 有一張 Q 在一張 K 的右邊。

2. 有一張 Q 在一張 Q 的左邊。

3. 有一張黑桃♠在一張紅心♥的左邊。
4. 有一張黑桃♠在一張黑桃♠的右邊。

Three playing cards are placed face down in a row. Determine what the three cards are based on the following clues:

1. One Q is to the right of a K.

2. One Q is to the left of another Q.

3. One Spade♠ is to the left of a Heart♥.

4. One Spade♠ is to the right of another Spade♠.

小學P4 - 例題四 Sample Question 4

 

小明在廚房的桌子上玩 3 個杯子。他拿起最左邊的杯子，將其翻轉過來，然後放在其他杯子的右邊。以下顯示第一次移動後的狀態：

Peter is playing with three cups on the kitchen table. He picks up the cup on the far left, flips it over, and places it to the right of the other cups. The state after the first move is shown below.

 

 

10次移動後杯子定狀態是怎樣的？

What will the cups look like after 10 moves?

小學P4 - 例題五 Sample Question 5

 

右面是畫出長方形的程式碼，找出以下哪個部份出錯以致未能畫出長方形？ On the right is the code for drawing a rectangle. Identify which part is incorrect, causing the rectangle not to be drawn.

小學P5 - 例題一 Sample Question 1

 

以下哪個圖形不能由 4 個大小相同的等腰直角三角形拼合而成？

Which of the following figures cannot be formed by combining 4 identical isosceles right-angled triangles?

小學P5 - 例題二 Sample Question 2

 

右圖是一粒正方體骰子的摺紙圖樣。當把它摺成骰子後，「2」是骰子的頂部。這粒骰子的底部是以下哪個數字？ The figure is the net of a cubic die. When it is folded, the face with “2” is on top. Which number is on the bottom face?

小學P5 - 例題三 Sample Question 3

 

小明做出了以下5項陳述，其中一項是假的。哪一項是假的？

Peter made the following 5 statements, exactly one of which is false. Which one is false?

P) 我的兒子俊俊有三個姐妹。

My son Oscar has 3 sisters.

Q) 我的女兒晴晴有兩個兄弟。

My daughter Mary has 2 brothers.

R) 我的女兒晴晴有兩個姐妹。

My daughter Mary has 2 sisters.

S) 我的兒子俊俊有兩個兄弟。

My son Oscar has 2 brothers.

T) 我有5個孩子。

I have 5 children.

小學P5 - 例題四 Sample Question 4

 

金字塔入口的密碼由一個6位數字組成：

The entrance password to the pyramid is a 6-digit number:

• 第一位數字是最小的奇數；
The first digit is the smallest odd number;

• 第二位數字是3的最大因數；
The second digit is the greatest factor of 3;

• 第三位數字是最小的質數；
The third digit is the smallest prime number;

• 第四位數字只有一個因數；
The fourth digit has only one factor;

• 第五位數字是一位數中，最大的質數；
The fifth digit is the largest single-digit prime number;

• 第六位數字最大的因數是8。
The sixth digit’s greatest factor is 8.

以下哪項是金字塔入口的密碼？

Which of the following is the password?

小學P5 - 例題五 Sample Question 5

 

以下立體由大小相同但不同數量的小正方體組成，它們的底層都是由10個小正方體組成。小明要為這5個立體的表面塗上顏料，哪個立體需要最多顏料？

The following 3D solids are made up of small cubes of the same size, but in different quantities. Each solid has a base of 10 cubes. Peter wants to paint the surfaces of these 5 solids. Which solid requires the most paint? 

 

小學P6 - 例題一 Sample Question 1

 

電梯的重量限制標識上寫着：本電梯只能承載16名成人或24名兒童。根據這樣的重量限制，最多能有多少名兒童和12名成人一起乘坐電梯？

The elevator’s weight limit notice says it can carry either 16 adults or 24 children. According to this restriction, what is the maximum number of children that can ride with 12 adults?

小學P6 - 例題二 Sample Question 2

 

右圖的立體圖形經旋轉後，可以得到哪個圖形？ After rotation, which figure can be obtained from the 3D shape shown on the right?

小學P6 - 例題三 Sample Question 3

 

 

上面圖案最中間的圓圈內應填上哪個數字？

Which number should be placed in the center circle of the above diagram?

小學P6 - 例題四 Sample Question 4

 

摩天輪有 12 個轎廂，順時針旋轉，遊客可依次乘坐轉到底部的轎廂，每個轎廂只能坐 1 人。 每個轎廂的編號是一個大寫英文字母，按字母順序逆時針排列，最後一個轎廂 L 和第一個轎廂 A 相連。如下圖所示：

The Ferris wheel has 12 cabins, rotating clockwise. Each cabin holds 1 person and is labeled with capital letters in counterclockwise order, from A to L, with L next to A.

 

 

小明排隊時，發現即將到達底部的轎廂編號是 A，排在他前面的還有 41 個人。如果前面的隊伍沒有變化，他將要乘坐哪個英文字母的轎廂？

When Peter is queuing, the cabin about to reach the bottom is A, and there are 41 people ahead of him. If the queue remains unchanged, which cabin will Peter board?

小學P6 - 例題五 Sample Question 5

 

森林裡的 10 隻小動物，要選舉一個森林大王。牠們決定圍坐一圈，每隻動物順序獲編排一個號碼 (由1至10 )。 In the forest, 10 animals are electing a “Forest King.” They sit in a circle, numbered 1 to 10.
接著從 1 號開始報數，報到 7 的出局，然後由下一隻動物繼續從 1 開始報數，同樣報到 7的就出局。如此類推，直到圈內只剩下 1 隻動物時，牠就成為森林大王。 Starting with animal 1, they count aloud. The one who says “7” is eliminated, and the next starts again from 1. This continues until only one animal remains. 哪個號碼的動物最後成為森林大王？ Which numbered animal becomes the Forest King?