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。
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!
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!
| question number | Question | fraction |
|---|---|---|
| 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
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!
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 |
| question number | Question | fraction |
|---|---|---|
| 7 |
▲ Parallelogram: base 2m, height 50cm (note the unit!)
(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 | Calculate56 − 14= ? Which step is the right first step?
A. 5 − 1 = 4,6 − 4 = 2 → 42 = 2
B. LCM(6,4)=12,56 → 1012,14 → 312
C. LCM(6,4)=24,56 → 2024
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
A. 40 cm²
B. 31 cm²
C. 49 cm²
D. 37 cm²
|
___ / 3 points |
| question number | Question | fraction |
|---|---|---|
| 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 |
| question number | Question | fraction |
|---|---|---|
| 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:78 − 13= ? 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 |
| # | Question | Difficulty |
|---|---|---|
| S1 | Write the number: eighty-three million and six hundred and twenty =? | 🌱 |
| S2 | Read out the Chinese pronunciation of 74,030,005 (indicate which "zeros" need to be read and which do not). | 🌱 |
| S3 | In 5,080,604,002, where are "5" and "8" respectively? How much do they represent? | 🌿 |
| S4 | Use the numbers 2, 0, 0, 8, 0, 0, 5, 1 to form the largest eight-digit number and the smallest eight-digit number. | 🌳 |
| S5 | Approximate 8,054,792 to (a) tens of thousands (b) millions. | 🌿 |
| S6 | Compare sizes: 7,654,321, 7,645,312, 7,654,231 in descending order. | 🌱 |
| # | Question | Difficulty |
|---|---|---|
| S7 | Triangular base 18 cm, height 7 cm. Area = ? | 🌱 |
| S8 | The 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 = ? | 🌿 |
| S9 | The area of a parallelogram is 72 cm² and its base is 12 cm. High = ? | 🌿 |
| S10 | The large rectangle is 12×9 cm, and a small rectangle of 5×3 cm is dug out. Remaining area = ? | 🌿 |
| S11 | Square perimeter 40 cm. Area = ? | 🌳 |
| S12 | 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) | 🌳 |
| # | Question | Difficulty |
|---|---|---|
| S13 | 25 + 13=? Write down the general steps. | 🌱 |
| S14 | 56 − 38 = ? | 🌱 |
| S15 | 34 + 56 − 13 = ? | 🌿 |
| S16 | Comparing34and57, which one is larger? | 🌿 |
| S17 | There are 60 candies in a box,25is strawberry flavor,13is mango flavor, and the rest are mint flavor. How many peppermint flavors are there? | 🌳 |
| S18 | Xiao Ming has $120. He uses14to buy books, and then uses13under his body to buy stationery. How much money does he have left? | 🌳 |
| # | Question | Difficulty |
|---|---|---|
| S19 | The 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? | 🌱 |
| S20 | The population of Hong Kong is approximately 7,346,000 (rounded to the nearest thousand). Between what two numbers might the actual population lie? | 🌿 |
| S21 | Rectangle 2.5 m × 180 cm, area = ? cm² (unify the units first) | 🌿 |
| S22 | A 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? | 🌳 |
| S23 | A trapezoid, the upper base is 1/3 of the lower base, the lower base is 12 cm, and the height is 6 cm. Area = ? | 🌳 |
| S24 | The 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? | 🏔️ |