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香港小五数学测验卷（上学期）附答案｜38 题、45 分钟｜打印及下载
小学数学 · 测验卷
香港小五数学测验卷（上学期）附答案
按本地小学数学试卷格式原创编写：38 题、45 分钟、100 分制，五个分部齐备，附完整答案与逐题评分要点，可直接打印 A4 原卷。
这份卷考什么 — 38 题、45 分钟、100 分；A 16%／B 20%／C 30%／D 10%／E 24%，附完整答案。
这份卷考什么
| Section | 题数 | 比重 |
|---|---|---|
| Section A | 8 | 16% |
| Section B | 10 | 20% |
| Section C | 9 | 30% |
| Section D | 5 | 10% |
| Section E | 6 | 24% |
打印／下载
完整题目
First Term Test — Practice Paper
Primary 5 Mathematics
Name:
Class: No.:
Class: No.:
Time allowed: 45 minutes
Date:
No. of pages: 6
Date:
No. of pages: 6
Section A: 16%
1.
512 − 36 − 36 − 36 − 36 = ?
1.
2.
98 × 102 = ?
2.
3.
36 × 125 ÷ (4 × 25) = ?
3.
4.
735 − 234 + 145 = ?
4.
5.
34 − 712 + 518 = ?
5.
6.
829 − 556 = ?
6.
7.
25 + 34 + 56 = ?
7.
8.
6 − 3712 + 258 = ?
8.
Section B: 20%
Write the answers in the spaces provided.
1.
In the number 604 738, what is the digit in the ten-thousands place?
1.
2.
Express 4256 in its simplest form.
2.
3.
How many ‘one-eighths’ are there in 3?
3.
4.
List all the factors of 45.
4.
5.
Find the H.C.F. of 18 and 24.
5.
6.
Arrange the fractions from the smallest to the largest:
56, 34, 712
56, 34, 712
6.
7.
429= x9 , x = ?
7.
8.
Use 3, 8, 0, 5, 2 to form the largest 5-digit even number.
8.
9.
If Town P is to the SW of Town Q, what is the direction of Town Q from Town P?
9.
10.
Name the quadrilateral which has 4 sides of equal length but no right angles.
10.
Section C: 30%
1. (a)
A car is moving east. If it turns right at the crossroads, in what direction will it be heading? (2%)
1. (a)
(b)
The clock below shows 3 o’clock. The hour hand is pointing at E.
At what direction is the minute hand pointing? (1%)
At what direction is the minute hand pointing? (1%)
1. (b)
2. (a)
What is the total number of identical triangles in the figure below? (1%)
2. (a)
(b)
What fraction of the whole figure is shaded? (2%)
2. (b)
3.
Draw and shade two different parallelograms with area 16 cm² in the space below. (4%)
(You must show the base and the height, and draw with a ruler and a pencil.)
(You must show the base and the height, and draw with a ruler and a pencil.)
3.
4.
Find the perimeter and the area of the parallelogram below.
4.Perimeter: cm (2%)
Area: cm² (2%)
5.
A, B and C are 3 identical squares and the perimeter of the figure is 48 cm.
Find the area of square A. (3%)
Find the area of square A. (3%)
5. cm²
6.
In the figure below, the base and the height of the large parallelogram are 3 times those of the small parallelogram. What is the area of the shaded part? (3%)
6. cm²
7.
Two rectangular cards are of the same size and each is 8 cm long and 5 cm wide. They overlap as shown in the diagram. What is the area of the figure so formed? (3%)
7. cm²
8.
Draw and shade two triangles of different shapes but of the same area 12 cm² on the squared paper below. (4%)
(You must show the base and the height, and draw with a ruler and a pencil.)
(You must show the base and the height, and draw with a ruler and a pencil.)
8.
9.
Find the perimeter and the area of the triangle below.
9.Perimeter: cm (1%)
Area: cm² (2%)
Section D: (10%)
Study the following graph carefully and answer the following questions.
Number of library books borrowed from Monday to Saturday
1
How many books were borrowed on Tuesday and Friday altogether?
1. books
2a.
On which day were the most books borrowed?
2a.
b.
What was the number of books borrowed on that day?
b.
3.
Find the total number of books borrowed in these 6 days.
3. books
4.
Between which two days did the number of books borrowed increase the most?
4.
5.
Give one reason why fewer books were borrowed on Saturday than on Friday.
5.
Section E: 24% (Write the statements and show all working steps)
1.
The perimeter of a rectangular notice board is 96 cm. Its breadth is 18 cm. Find its area. (4%)
1.
2.
The height of a parallelogram is 9 cm. Its base is 3 times its height. Find the area of the parallelogram. (4%)
2.
3.
Mr Chan wants to sew a lace border around a square tablecloth of side 145 cm. The lace costs $3 per cm. What is the cost of the lace? (4%)
3.
4.
1 kg of prawns costs $96. It costs 3 times as much as 1 kg of chicken. Mrs Lee buys 2 kg of prawns and 3 kg of chicken. She pays $500. How much change does she get? (4%)
4.
5.
Every day Miss Wong works 414 hours in the morning and 223 hours in the afternoon. She has worked 256 hours today. How many more hours does she still have to work? (4%)
5.
6.
Ken weighs 3834 kg and his sister is 258 kg lighter than him. What is their total weight? (4%)
6.
End of Paper
答案与评分要点
Answer Key and Marking Notes — Teacher’s Copy
Primary 5 Mathematics · First Term Test Practice Paper
Section A (16%, 2% each)
| Q | Answer | Working / marking note |
|---|---|---|
| 1 | 368 | 36 × 4 = 144; 512 − 144 |
| 2 | 9996 | 98 × 100 + 98 × 2 = 9800 + 196 |
| 3 | 45 | 4 × 25 = 100 first; 36 × 125 ÷ 100 = 4500 ÷ 100 |
| 4 | 6 1320 | 7.6 − 2.75 + 1.8 = 6.65; or L.C.M. 20 throughout |
| 5 | 49 | L.C.M. 36: 27 − 21 + 10 = 16, then 16/36 = 4/9 |
| 6 | 2 718 | 148/18 − 105/18 = 43/18 |
| 7 | 1 5960 | L.C.M. 60: 24 + 45 + 50 = 119/60 |
| 8 | 5 124 | 6 − 3 7/12 = 2 5/12; 2 10/24 + 2 15/24 = 4 25/24 |
Award the mark only if the answer is in its simplest form. An unsimplified answer (e.g. 16/36 in Q5) scores 0 for that item.
Section B (20%, 2% each)
| Q | Answer | Note |
|---|---|---|
| 1 | 0 | 604 738 — the ten-thousands digit is 0; accept only 0 |
| 2 | 34 | Divide the top and the bottom by 14 |
| 3 | 24 | 3 ÷ 1/8 = 24 |
| 4 | 1, 3, 5, 9, 15, 45 | All six needed; a missing or an extra factor scores 0 |
| 5 | 6 | 18 = 2 × 3², 24 = 2³ × 3 |
| 6 | 712, 34, 56 | L.C.M. 12: 7/12, 9/12, 10/12 |
| 7 | x = 38 | 4 2/9 = 38/9 |
| 8 | 85 302 | Largest digits first, but the units digit must be even (0 or 2) |
| 9 | NE | The reverse direction of SW |
| 10 | rhombus | Accept 菱形 / rhombus. Not «square» — a square has right angles |
Original questions by TutorZone. Paper format modelled on a Hong Kong primary school’s first-term mathematics test paper; this is not that school’s examination paper.
Section C (30%)
| Q | Answer | Working / marking note |
|---|---|---|
| 1(a) | S (south) · 2% | Facing east, a right turn is 90° clockwise → south |
| 1(b) | N (north) · 1% | The minute hand points at 12; with 3 o’clock pointing east, 12 points north |
| 2(a) | 8 · 1% | 2 diagonals + 2 mid-lines cut the square into 8 identical triangles |
| 2(b) | 38 · 2% | 3 shaded out of 8; must be simplified |
| 3 | Any two different parallelograms with base × height = 16 cm² | 4% = two correct figures with the base and the height labelled; 2% = only one correct; 0 = the same shape drawn twice |
| 4 | Perimeter 30 cm (2%) · Area 45 cm² (2%) | (9 + 6) × 2 ; 9 × 5. Using the slant side (6 cm) as the height in the area part scores 0 |
| 5 | 36 cm² · 3% | The figure has 8 square-edges exposed: 48 ÷ 8 = 6 cm; then 6 × 6 |
| 6 | 80 cm² · 3% | Large 15 × 6 = 90; small 5 × 2 = 10; 90 − 10 |
| 7 | 64 cm² · 3% | 40 + 40 − 16 (the overlap is 4 cm × 4 cm). Adding the overlap instead of subtracting it scores 0 |
| 8 | Two triangles of different shapes, each ½ × base × height = 12 | 4% = two correct triangles with the base and the height shown; 2% = one correct; the same shape twice = 0 |
| 9 | Perimeter 42 cm (1%) · Area 84 cm² (2%) | 13 + 14 + 15 ; 14 × 12 ÷ 2 |
Section D (10%, 2% each)
| Q | Answer | Note |
|---|---|---|
| 1 | 90 books | 40 + 50 |
| 2(a)(b) | Thursday; 65 books | Both parts are needed for the 2% |
| 3 | 245 books | 25 + 40 + 35 + 65 + 50 + 30 |
| 4 | Wednesday and Thursday | +30 books; the next largest rise is +15 |
| 5 | Any sensible reason | e.g. the library closes earlier on Saturday / fewer pupils come to school on Saturday |
Section E (24%, 4% each)
| Q | Answer | Working / marking note |
|---|---|---|
| 1 | Length 30 cm; area 540 cm² | 96 ÷ 2 − 18 = 30 ; 30 × 18 |
| 2 | 243 cm² | Base = 9 × 3 = 27 ; 27 × 9 |
| 3 | $1740 | 145 × 4 = 580 cm of lace ; 580 × $3 |
| 4 | $212 | Chicken $96 ÷ 3 = $32 ; 96 × 2 + 32 × 3 = 288 ; 500 − 288 |
| 5 | 4 112 hours | 4 1/4 + 2 2/3 = 6 11/12 ; 6 11/12 − 2 5/6 = 4 1/12 |
| 6 | 74 78 kg | Sister 38 3/4 − 2 5/8 = 36 1/8 ; 38 3/4 + 36 1/8 = 74 7/8 |
Section E marking: 1% for a correct statement/equation, 1% for the correct substitution, 1% for the correct numerical value, 1% for the correct unit. A correct answer with no working scores at most 2%, because the section instruction asks for statements and working steps.
Four places where marks are most often lost in this paper
| Trap | What the pupil writes | What should happen |
|---|---|---|
| Section A Q5 — the L.C.M. is 36, not 24 | Uses 24 → 18 − 14 + 6 = 10/24 | 12 and 18 share 36; 16/36 must be simplified to 4/9 |
| Section C Q4 — the slant side used as the height | (9 + 6) × 2 = 30 for the area | Area uses the perpendicular height: 9 × 5 = 45 cm² |
| Section C Q7 — the overlap double-counted or ignored | 40 + 40 = 80, or 40 + 40 + 16 | Subtract the overlap once: 40 + 40 − 16 = 64 cm² |
| Section E Q1 — the halving of the perimeter left out | 96 − 18 = 78 for the length | 96 ÷ 2 = 48 ; 48 − 18 = 30 cm for the length |
How to use this paper
① 45 minutes, no calculator, one sitting — Sections A and B about 13 minutes, Section C 15 minutes, Section D 5 minutes, Section E 12 minutes.
② Mark with the notes above; record «statement missing» and «unit missing» separately from «wrong answer».
③ Items lost in Sections A or B are concept gaps — redo three similar items before moving on. Items lost only in Section E are presentation gaps — practise writing the statement line first.
④ Redo the whole paper after seven days; the target is 90% or above on the second attempt.
四个最常失分位
- 在梯形／平行四边形面积用了斜边而不用高。
- 分数除法的商没有约至最简，或忘记“倒转相乘”。
- 圆周与圆面积公式调乱（P5 只考圆的性质，不涉公式）。
- 应用题没有写出单位，或答案没有写成带分数。
家长常见问题
这份卷适合哪个年级？
小五上学期。题目跟本地小学卷面格式，但全部是原创题，并非任何学校的考试卷。
小五上学期。题目跟本地小学卷面格式，但全部是原创题，并非任何学校的考试卷。
有答案吗？家长怎样对答案？
有。答案页逐题列出答案、计算步骤与评分要点，家长可以直接对。
有。答案页逐题列出答案、计算步骤与评分要点，家长可以直接对。
可以打印给小朋友做吗？
可以。两个按钮：打印纯试卷或打印连答案；也可以下载 PDF 自己打印。
可以。两个按钮：打印纯试卷或打印连答案；也可以下载 PDF 自己打印。
本页题目为 TutorZone 原创，卷面格式参照本地小学测验卷编写，并非任何学校的考试卷。
