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P4 数学 真题样题

10 道新加坡名校最新考题,公教中学(附小)、卍慈学校、乐赛学校等。先自己做,再点「看答案和讲解」。

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第 1 题数据分析公教中学(附小) 2025 EOY 第 19 题
The table shows the number of fruits sold at a shop in a week.
FruitAppleMangoPearOrange
Number30201238
Which of the following pie charts best represents the table?
AMangoOrangePearApple
BMangoApplePearOrange
CMangoAppleOrangePear
DMangoApplePearOrange
看答案和讲解

正确答案:D.

考点数据分析:表格与饼图的对应 · Data analysis: matching a table to a pie chart

思路:总数 100。橙最多(38),苹果第二(30,比 1/4 多一点),芒果 20,梨最少(12)。只有图 (4) 符合:苹果比 1/4 大一点,芒果比苹果小。
Think: Orange is biggest, Apple a bit more than a quarter, Mango smaller, Pear smallest. Only pie (4) fits.
小提醒:先找出最大和最小的部分。
Tip: Check the biggest and smallest slices first.

第 2 题分数公教中学(附小) 2025 EOY 第 4 题
Which of the following mixed numbers is represented by A in the number line shown?
23A
A214
B234
C314
D334
看答案和讲解

正确答案:A. 214

考点分数:数线上的带分数 · Fractions: mixed numbers on a number line

思路:2 到 3 之间分成 4 等份,每份是 1/4。A 在 2 后面第 1 格,所以是 2 1/4。
Think: From 2 to 3 there are 4 equal parts, each 1/4. A is 1 part after 2, so A = 2 1/4.
小提醒:先数一共分成几份,再数 A 走了几份。
Tip: Count the parts first, then count how far A is.

第 3 题分数公教中学(附小) 2025 EOY 第 9 题
What fraction of the shapes in the box are ?
A35
B53
C38
D58
看答案和讲解

正确答案:D. 58

考点分数:部分占整体的几分之几 · Fractions: fraction of a set

思路:一共 8 个图形,其中星星有 5 个,所以是 5/8。
Think: There are 8 shapes and 5 of them are stars, so 5/8.
小提醒:分母是全部图形的个数。
Tip: The denominator is the total number of shapes.

第 4 题数据分析卍慈学校 2025 EOY 第 16 题
The table below shows the number of children and adults who visited the library on a weekday. Part of the table is covered by an ink blot.
ChildrenAdultsTotal
Male119246
Female123230353
What is the total number of adults who went to the library on that weekday?
A107
B127
C357
D599
看答案和讲解

正确答案:C. 357

考点数据分析:读表格求缺失数据 · Data analysis: finding missing values in a table

男成人 = 246 − 119 = 127;成人总数 = 127 + 230 = 357。
English: Male adults = 246 − 119 = 127. Total adults = 127 + 230 = 357.

第 5 题八方位与转向乐赛学校 2025 EOY 第 15 题
Alicia is facing her school. She makes a 12 turn anticlockwise. She then makes a 270° turn clockwise. Where is she facing now?
homeschoollibraryplayground
Ahome
Blibrary
Cplayground
Dschool
看答案和讲解

正确答案:B. library

考点角:转动方向(顺时针、逆时针、1/2 圈) · Angles: turns clockwise and anticlockwise

思路:开始面向 school(下)。逆时针转半圈(180°)后面向 home。再顺时针转 270°:home → playground → school → library。
Think: Facing school, a 1/2 turn makes her face home. 270° clockwise: home → playground → school → library.
小提醒:顺时针 90° 一格,270° 就是三格。
Tip: Each 90° clockwise moves one step; 270° is three steps.

第 6 题钱与测量卍慈学校 2024 SA2 第 14 题
The figure shows the timings for shuttle bus at an airport bus terminal.
Timings for Shuttle Bus
9.30 a.m.
10.15 a.m.
11.00 a.m.
11.45 a.m.
John arrived at the airport bus terminal at 10.40 a.m. How long must he wait for the next shuttle bus?
A20 min
B25 min
C1 h 10 min
D2 h 15 min
看答案和讲解

正确答案:A. 20 min

考点时间:读时间表求经过时间 · Time: reading a timetable to find duration

思路:10.40 a.m. 以后的下一班是 11.00 a.m.,要等 20 分钟。
Think: After 10.40 a.m., the next bus is at 11.00 a.m. He waits 20 min.
小提醒:找“之后”最近的那一班。
Tip: Find the next bus after he arrives.

第 7 题八方位与转向恒力小学 2023 EOY 第 10 题
George was at a restaurant in a zoo.
LionTigerLeopardMonkeyPenguinGiraffeZebraElephantRestaurantN
At the restaurant, George was facing south-west at first. He then made a 34-turn clockwise. Which animal would he be facing then?
ALion
BTiger
CMonkey
DElephant
看答案和讲解

正确答案:C. Monkey

考点八方位与转向:顺时针转 3/4 圈 · 8-point compass: making a 3/4-turn clockwise

先面向西南。顺时针转 3/4 圈 = 转 270°,也就是 6 个八分之一圈:西南 → 西 → 西北 → 北 → 东北 → 东 → 东南。东南方是 Monkey。
English: Start facing south-west. A 3/4-turn clockwise is 270°, which is 6 one-eighth turns: SW → W → NW → N → NE → E → SE. The Monkey is in the south-east.

第 8 题长方形与正方形英华小学(Primary) 2025 EOY 第 10 题
The figure shown is made up of two identical rectangles and a square. Find the perimeter of the figure.
8 cm11 cm
A38 cm
B44 cm
C60 cm
D66 cm
看答案和讲解

正确答案:C. 60 cm

考点周长:组合图形(阶梯形)的周长 · Perimeter: perimeter of a composite (stepped) figure

思路:长方形是 11 cm × 8 cm。整个图形宽 11 + 8 = 19 cm,高 11 cm。外轮廓是阶梯形,周长等于大长方形:2 × (19 + 11) = 60 cm。
Think: Each rectangle is 11 cm by 8 cm. The figure is 19 cm wide and 11 cm tall; its stepped outline has the same perimeter as a 19 cm by 11 cm rectangle: 60 cm.
小提醒:阶梯形可以把边“推”出去变成长方形来算周长。
Tip: Push the steps out to make a rectangle — the perimeter stays the same.

第 9 题长方形与正方形英华小学(Primary) 2025 EOY 第 12 题
The perimeter of the garden is 42 m. The breadth of the garden is 6 m. What is the length of the garden?
?6 mPerimeter = 42 m
A7 m
B15 m
C18 m
D30 m
看答案和讲解

正确答案:B. 15 m

考点周长:由长方形周长求长 · Perimeter: finding the length of a rectangle from its perimeter

思路:长 + 宽 = 42 ÷ 2 = 21 m,长 = 21 − 6 = 15 m。
Think: Length + breadth = 42 ÷ 2 = 21 m, so length = 21 − 6 = 15 m.
小提醒:周长是两条长加两条宽,先除以 2。
Tip: Perimeter = 2 lengths + 2 breadths, so halve it first.

第 10 题立体图形与展开图英华小学(Primary) 2025 EOY 第 15 题
Which figure is not a net of prism?
A
B
C
D
看答案和讲解

正确答案:B.

考点立体图形:三棱柱的展开图 · Solids: nets of a prism

思路:三棱柱的展开图:3 个长方形 + 2 个三角形,三角形要贴在长方形的短边上(三角形的边 = 长方形的短边)。图 (2) 中三个长方形是沿短边连接的,三角形却贴在长方形的长条两端,折起来对不上,所以不是展开图。
Think: A triangular prism net has 3 rectangles and 2 triangles, and each triangle side must match a short side of a rectangle. In (2) the rectangles are joined end to end, so the triangles cannot close the ends.
小提醒:想象把纸折起来,每条边都要有“搭档”。
Tip: Fold it in your head — every edge must meet a matching edge.

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