🧠 WHY BOX — Why learn this?

Understanding this topic helps you solve real-life math problems and prepares you for the SSPA exam.

學好這個課題能幫助你解決生活數學問題,為 SSPA 考試做好準備。

📖 Story Context / 故事情境

Imagine you are shopping and need to calculate totals, discounts, or split bills. Math is everywhere in daily life!

想像你在購物時需要計算總額、折扣或分攤帳單。數學無處不在!

📋 Parent Corner / 家長專區
This topic covers key SSPA exam concepts. Encourage your child to practice the worked examples and common trap questions.
本課題涵蓋 SSPA 考試重點。請鼓勵孩子練習例題和陷阱題。

🎯 Learning Objectives / 學習目標

═══════════════ PAGE 1: HEADER + Part A ═══════════════
Lam Fung Academy
SSPA Mock Exam (1) · Primary 5 Mathematics
Scope: Lessons 1–10 (Multiple Figures · Estimation · Area · Fractions)
Exam time: 50 minutes Full score: 100 points
Name: date: Fraction: / 100
═══════ Part A: Multiple choice questions ═══════
Part A - Multiple Choice Questions10 questions × 3 points = 30 points
Instructions: Choose the correct answer and fill in the letter of the answer in the space to the right of each question. There is only one correct answer for each question.
🎫 Exam tips (SSPA must read)

① Do the questions you know first, don’t get stuck on one!
② Check the unit for each question (cm vs cm² vs cm³)!
③ Geometry questions: If there is an elevation in the picture, use the height. If there is no elevation, use the formula to find it!
④ Application question: Write an answer sentence! Points will be deducted for not writing steps!
⑤ 5 minutes left: Check if the MC has been filled in and if the unit is correct!

🏆 SSPA衝刺·限時挑戰
模擬真實SSPA考試!限時作答,每題計分。答對率達80%解鎖「SSPA戰士」勳章!
⚡ 開始模擬考 →
question numberQuestionfraction
1 What is the Arabic numeral for "seven million and five hundred"?
A. 7,000,500 B. 7,500,000 C. 7,050,000 D. 7,005,000
___ / 3 points
2 Round 38,752 to the nearest thousand and use the approximate value: 38,752 × 4 ≈ ?
A. 120,000 B. 156,000 C. 160,000 D. 155,008
___ / 3 points
3
▲Triangle: base 12cm, height 8cm
hb
Triangle base length 12cm, height 8cm. Area = ?
A. 96 cm² B. 48 cm² C. 40 cm² D. 20 cm²
___ / 3 points
4 Compare23and35, which one is correct?
A. Directly compare the numerators, 3 > 2, so35is larger B. After common division1015 < 915, so23is smaller
C. After common division1015 > 915, so23is larger D. The two fractions are equal
___ / 3 points
5
▲ Trapezoid: Pay attention to height ≠ hypotenuse!
hb₂b₁
Trapezoid: upper base 5 cm, lower base 9 cm, hypotenuse 7 cm, height 4 cm. Which of the following is the correct way to find area?
A. (5 + 9 + 7) × 4 ÷ 2 B. (5 + 9) × 7 ÷ 2
C. (5 + 9) × 4 ÷ 2 D. 5 × 9 × 4 ÷ 2
___ / 3 points
6 Calculate12 + 13= ? Which of the following calculations is correct?
A. 1+12+3 = 25 B. LCM(2,3)=6 → 36 + 26 = 56
C. 1 + 1 = 2, 2 + 3 = 5, answer = 215 D. 12 + 13 = 26
___ / 3 points
═══════════════ PAGE 2: Part A continues + Part B begins ═══════════════
question numberQuestionfraction
7
▲ Parallelogram: base 2m, height 50cm (note the unit!)
hb
The parallelogram has a base 2m long and a height 50cm. Area = ?
(Tip: Pay attention to the units!)
A. 100 cm² B. 1 m² C. 10,000 cm² D. 1,000 cm²
___ / 3 points
8 How many "0"s are there in the number 5,060,402 that need to be read?
A. 0 pieces B. 1 piece C. 2 pieces D. 3 pieces
___ / 3 points
9 Calculate5614= ? Which step is the right first step?
A. 5 − 1 = 4,6 − 4 = 2 → 42 = 2 B. LCM(6,4)=12,56101214312
C. LCM(6,4)=24,562024 D. Direct subtraction:5−16 = 46
___ / 3 points
10 The rectangle is 8 cm long and 5 cm wide,
▲ Rectangle 8×5cm·Dig out a 3×3cm square
dig away
Dig out a square with a side length of 3 cm in the middle. Remaining area = ?
A. 40 cm² B. 31 cm² C. 49 cm² D. 37 cm²
___ / 3 points
═══════ Part B: Short answer questions ═══════
Part B - Short Questions/Calculation Questions8 questions × 5 points = 40 points
Instructions: Write the complete calculation steps and answers in the answer area below each question. Answers must be reduced (if applicable).
question numberQuestionfraction
1 Write the Chinese pronunciation of the number 3,050,708, and write down the digit where "3" is located and its value.
___ / 5 points
2 Approximate 4,856,729 to: (a) Ten thousand digits (b) Hundred thousand digits
___ / 5 points
3 The parallelogram has a base length of 15 cm and a height of 8 cm. Area = ? cm²
___ / 5 points
4 The base of the triangle is 20 cm long and the height is 9 cm. Area = ? cm²
___ / 5 points
═══════════════ PAGE 3: Part II Continued ═══════════════
question numberQuestionfraction
5 Trapezoid: upper base 6 cm, lower base 14 cm, height 5 cm. Area = ? cm²
___ / 5 points
6 Calculation:23 + 34= ? Write down the steps for common division and reduction.
___ / 5 points
7 Calculation:7813= ? Write down the steps for common division and reduction.
___ / 5 points
8 Calculation: 12 ×34= ? Write down the calculation process and answer with the simplest fraction (or whole number/mixed number).
___ / 5 points
═══════════════ PAGE 4: Part C ═══════════════
═══════ Part C: Word Problems ═══════
Part C - Application Problems3 questions × 10 points = 30 points
Instructions: Each question must list all calculation steps and write a complete answer. The answer must be accompanied by the unit.
Question 1 (10 points) – Area of ​​a combined figure___ / 10 points
The picture below is made up of a rectangle and a triangle.
Rectangle: length 10 cm, width 6 cm.
Triangle: base 10 cm, height 5 cm, spliced ​​on top of the rectangle.

(a) Find the area of ​​the rectangle. (2 points)
(b) Find the area of ​​the triangle. (3 points)
(c) Find the total area of ​​the entire combined figure. (1 point)
(d) If the designer scales up the entire figure by a factor of 2 (length of each side × 2), what is the new total area? (4 points)
Answer area - please write all calculation steps and complete answer sentences:
Question 2 (10 points) – Multi-step application of fractions___ / 10 points
Xiao Ming has a box of building blocks with a total of 120 blocks.
in13It's red,14is blue and the rest is yellow.

(a) How many red blocks are there? (2 points)
(b) How many blue blocks are there? (2 points)
(c) What fraction of the total number of red and blue bricks are there? (2 points)
(d) How many yellow blocks are there? What fraction of the total? (4 points)
Answer area - please write all calculation steps and complete answer sentences:
Question 3 (10 points) – Comprehensive trap question (estimate + area)___ / 10 points
A rectangular playground is approximately 98 m long (rounded to the nearest metre) and 61 m wide (rounded to the nearest metre).

(a) Use an estimation strategy to approximate the length and width to the nearest ten to estimate the playground area. (3 points)
(b) Calculate the exact area of ​​the playground using actual measurements. (2 points)
(c) How many m² does the estimated area differ from the exact area? (2 points)
(d) If 8 students can stand for morning exercises per 10 m², how many students can stand at most using the exact area? (3 points)
Answer area - please write all calculation steps and complete answer sentences:
═══════════════ PAGE 5: Part C Continued + Complete Volume ═══════════════
—Complete the entire volume—
Total score:/ 100 points
Signature of marking teacher: __________ Date: __________
Exam tips:
· Part A MC Trap: Question 3: Note that the triangle must be ÷2. Question 5: The hypotenuse is not high. Question 7: Unify the units first.
· Part B calculation questions: To get the general score, you must first find LCM, and the answer must be simplified
· Part C application questions: Each question has its own trap (combined graph segmentation, residual fraction benchmark, estimation vs. exact comparison)
· Make good use of 50 minutes: 12 minutes for Part A → 20 minutes for Part B → 15 minutes for Part C → 3 minutes for inspection
═══════════════ PAGE 6: Post-exam supplementary exercises ═══════════════
Appendix: Simulation 1 Post-examination Supplementary Practice24 questions · For after-class consolidation
Instructions: The following questions are designed to target common denominator-losing traps in Simulation 1. Please complete them after the exam to consolidate what you have learned.
morenumber of digits basics (total 6 questions)
#QuestionDifficulty
S1Write the number: eighty-three million and six hundred and twenty =?
🌱
S2Read out the Chinese pronunciation of 74,030,005 (indicate which "zeros" need to be read and which do not).
🌱
S3In 5,080,604,002, where are "5" and "8" respectively? How much do they represent?
🌿
S4Use the numbers 2, 0, 0, 8, 0, 0, 5, 1 to form the largest eight-digit number and the smallest eight-digit number.
🌳
S5Approximate 8,054,792 to (a) tens of thousands (b) millions.
🌿
S6Compare sizes: 7,654,321, 7,645,312, 7,654,231 in descending order.
🌱
areatrap(total 6 question)
#QuestionDifficulty
S7Triangular base 18 cm, height 7 cm. Area = ?
🌱
S8The upper base of the trapezoid is 6 cm, the lower base is 14 cm, the hypotenuse is 9 cm, and the height is 5 cm. Which data is not needed? Area = ?
🌿
S9The area of ​​a parallelogram is 72 cm² and its base is 12 cm. High = ?
🌿
S10The large rectangle is 12×9 cm, and a small rectangle of 5×3 cm is dug out. Remaining area = ?
🌿
S11Square perimeter 40 cm. Area = ?
🌳
S12
h=5Base=12Hypotenuse=8
The parallelogram has a base of 12 cm, a hypotenuse of 8 cm, and a height of 5 cm. Area = ? Perimeter = ? (Note: area is related to height, perimeter is related to hypotenuse)
🌳
═══════════════ PAGE 7: Supplementary exercises continued ═══════════════
fractioncalculate(total 6 question)
#QuestionDifficulty
S1325 + 13=? Write down the general steps.
🌱
S145638 = ?
🌱
S1534 + 5613 = ?
🌿
S16Comparing34and57, which one is larger?
🌿
S17There are 60 candies in a box,25is strawberry flavor,13is mango flavor, and the rest are mint flavor. How many peppermint flavors are there?
🌳
S18Xiao Ming has $120. He uses14to buy books, and then uses13under his body to buy stationery. How much money does he have left?
🌳
applicationquestioncomprehensive(total 6 question)
#QuestionDifficulty
S19The upper base of the trapezoidal garden bed is 5 m, the lower base is 9 m, and the height is 4 m. If 4 flowers are planted per m², how many flowers will be planted in total?
🌱
S20The population of Hong Kong is approximately 7,346,000 (rounded to the nearest thousand). Between what two numbers might the actual population lie?
🌿
S21Rectangle 2.5 m × 180 cm, area = ? cm² (unify the units first)
🌿
S22A rectangle and a triangle both have an area of ​​36 cm². The length of a rectangle is 9 cm. How wide is it? The base of a triangle is 12 cm, what is its height?
🌳
S23A trapezoid, the upper base is 1/3 of the lower base, the lower base is 12 cm, and the height is 6 cm. Area = ?
🌳
S24The combined figure consists of a triangle (base 10 cm, height 6 cm) and a rectangle (10 cm × 8 cm). Total area = ? If each side of the entire figure is enlarged by a factor of 2, how many times is the new area?
🏔️
📝 Post-exam review record:
Part A score:____/30 Part B score: ____/40 Part C score: ____/30 Total score:____/100
The question types that need to be strengthened most in this exam: __________; The traps that need to be reviewed: __________
Lam Fung Academy · LF Academy · We don't teach math. We teach trap avoidance.
Print Ctrl+P PDF | 9 pages · 50 questions | LF-P5-S1-L11 v6 EN
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