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!
| period | Hall times | learning topics | core trap | my mastery (Self-evaluation 1-5★) | simulation score |
|---|---|---|---|---|---|
| Last semester - first half (multiple digits · estimating · area · fraction) | |||||
| September | L1-L2 | Multi-digit understanding and estimation | T1 bit value, T8 estimated bit | ___★ | Simulation 1 L11 ___/100 |
| September-October | L3-L6 | Area (parallelogram, triangle, trapezoid, polygon) | T4 area ÷ 2, T5 height ≠ hypotenuse | ___★ | |
| October-November | L7-L10 | Fractions (comparison, addition, subtraction, multiplication, word problems) | T9 direct addition with different denominators | ___★ | |
| First semester - second half (Decimals · Algebra · Equations) | |||||
| November-December | L12-L13 | Multiplication of decimals, approximations and applications | T6 number of decimal places | ___★ | Simulation 2 L19 ___/100 |
| December | L14-L15 | Recognition of algebraic expressions and application of equations | T3 Equation Shift and Sign Change | ___★ | |
| December | L16-L18 | Comprehensive review + trap review | T7 Cross-topic synthesis | ___★ | |
| SSPA practice exam (last semester) | |||||
| December | L11 | SSPA Mock Exam (1) – 50 minutes | Range: L1-L10 | Score: ___/100 | Part A___ Part B___ Part C___ | |
| January | L19 | SSPA Mock Exam (2) – 75 minutes full semester | Range: L1-L18 | Score: ___/100 | Part A___ Part B___ Part C___ | |
| Next semester (circle · solid · origami · volume · comprehensive) | |||||
| February-March | L21+ | Understanding of circles, three-dimensional sections, origami patterns | T5 graphics extension | ___★ | Simulation 3 L29 ___/100 Simulation 4 L37 ___/100 |
| March-April | L22+ | Volume, multi-digit advanced, decimal fraction synthesis, SSPA general review | T2 order of operations, T10 unit/reduction | ___★ | |
| Ultimate preparation | |||||
| May | L37 | SSPA Mock Exam (4) Ultimate Reality | Comprehensive throughout the year | ___★ | ___/100 |
| May | L38-L39 | Summary of formulas + pre-exam strategies | T1-T10 all | ___★ | —— |
| P5 full year summary | 10 major traps all covered | Average:___★ | Simulated average score: ___/100 | ||
| Weekly | date | Preview content | practise | Complete ✓ |
|---|---|---|---|---|
| Week 1 | Mid July | Multi-digit advanced: 9-digit reading and writing, multi-digit decimal comparison | 10 questions | |
| Week 2 | end of july | Multi-digit Advanced: Approximate Values to Hundreds of Digits | 10 questions | |
| Week 3 | early August | Introduction to Percents: Fractions → Decimals → Percent Interchange | 10 questions | |
| Week 4 | mid-august | Percent application: discount calculation (20% off = ×80%) | 10 questions | |
| Week 5 | end of august | Area of a circle: formula A=πr², distinguishing the circumference and area of a circle | 10 questions | |
| Week 6 | end of august | P5 Trap Review (To prevent forgetting during the summer vacation!) | Mixed 15 questions |
| grade | hunter level | core competencies | landmark achievement | Finish |
|---|---|---|---|---|
| P4 Hunter's Apprentice |
⭐ Trainee Hunter Trap Apprentice |
Begin to recognize basic math pitfalls: · Basic operations of addition, subtraction, multiplication and division · Area of simple shapes (square, rectangle) · Initial exposure to the concept of fractions |
Complete P4 course Recognize 3-5 basic traps |
☐ |
| P5 trapper |
⭐⭐⭐ Trap Hunter Trap Hunter |
Systematic trap immunity training: · Top 10 traps (T1-T10) · 4 SSPA simulations · Trap tracking table self-diagnosis · Check three techniques (substitution, reverse, estimation) |
Complete 40 P5 lessons Master all 10 trap tips 4 simulations completed |
☐ |
| P6 Master Hunter |
⭐⭐⭐⭐⭐ Trap Master Trap Master |
Pitfalls for Intuitive Automation: · Automatically identify traps when seeing questions · P5 trap + P6 new trap comprehensive coverage · Passed SSPA with high scores → Ideal Middle School · Become a "trap mentor" for junior students |
SSPA Mathematics Level A Admission to your favorite secondary school Help fellow students avoid traps |
☐ |
| # | Question | type | Working Space (complete step) |
|---|---|---|---|
| 1 | P5The number 12,340,000 is expressed in "ten thousand" =? | T1 morenumber of digits | |
| 2 | P5Triangle base=18 cm, height=7 cm. Area = ? | T4 area | |
| 3 | P5Calculation:56 + 34= ? (Answers should be simplified) | T9 fraction | |
| 4 | P5Solve the equation: 3x + 7 = 2x + 12,x = ? | T3 equation | |
| 5 | P5The upper base of the trapezoid = 8 cm, the lower base = 14 cm, and the area = 88 cm². High=? | T4+T3 | |
| 6 | P5The radius of a circle = 14 cm. Circumference=? (Take π=22/7) | circle week | |
| 7 | P6 PreviewConvert38into a percentage. Tips: First convert to decimal 3÷8=0.375, then ×100% |
P6 hundred fraction | |
| 8 | P6 PreviewA piece of clothing is priced at $250. How much will it sell for after a 20% discount? Tips: 20% off = ×80% = ×0.8 |
P6 discount | |
| 9 | P6 PreviewThe radius of a circle = 7 cm. Circle area =? (Take π=22/7) Tips: A=πr². Be careful to distinguish the circumference of a circle (C=2πr) and the area of a circle (A=πr²)! |
P6 circlearea | |
| 10 | P6 previewXiao Ming has $500. Use 30% to buy books and the remaining 25% to buy stationery. How many dollars are left at the end? Tip: Refer to the "baseline tracking" trap in P5 - be careful of the "leftovers"! |
P6 comprehensive |
| # | Question | trap | Working Space |
|---|---|---|---|
| Q1 | Write: 900,700,800 =? (be careful with the 0 position) | T1 | |
| Q2 | Read the Chinese pronunciation of 60,005,040. How many "zeros" do you need to read? | T1 | |
| Q3 | Round 23,456,789 to the nearest million. Result = ? | T1+T8 | |
| Q4 | Use 1, 0, 0, 0, 2, 0, 0, 3 to form the smallest eight-digit number that reads "two zeros". | T1 | |
| Q5 | Compare sizes: 5,030,000 and 5,003,000 and 5,000,300. Arrange from largest to smallest. | T1 |
| # | Question | trap | Working Space |
|---|---|---|---|
| Q6 | The base of the parallelogram is 14 cm, the hypotenuse is 10 cm, and the height is 8 cm. Area = ? (If you use a hypotenuse, you’ll get tricked!) | T4 | |
| Q7 | Triangular base 18 cm, height 7 cm. Area = ? (Points will be deducted if you forget ÷2!) | T5 | |
| Q8 | The upper base of the trapezoid is 7 cm, the lower base is 13 cm, the hypotenuse is 10 cm, and the height is 5 cm. Area = ? | T4 | |
| Q9 | Rectangle 3 m × 2 m. Area = ? cm² (convert the unit first!) | T5 | |
| Q10 | Square perimeter 40 cm. Area = ? (Cannot be directly substituted into the perimeter!) | T4+T5 | |
| Q11 | The trapezoid has an area of 66 cm², a height of 6 cm, and the upper base is 4 cm less than the lower base. Find the upper and lower bases. | T4 | |
| Q12 | The L shape is divided into A (10×4 cm) and B (6×5 cm). Total area = ? | T5 | |
| Q13 | Large rectangle 16×12 cm, cut out 8×5 cm rectangle in the middle. Remaining area = ? | T5 |
| # | Question | trap | Working Space |
|---|---|---|---|
| Q14 | 35 + 27=? (different denominators must be common denominators!) | T9 | |
| Q15 | 78 − 23 = ? | T9 | |
| Q16 | 23 + 14 − 16 = ? | T9 | |
| Q17 | Comparing56and79, which one is larger? | T9 | |
| Q18 | 125 × 58 = ? | T9 | |
| Q19 | There are 90 candies in a box.15is red,13is green. How many fewer grains does red have than green? | T9 |
| # | Question | trap | Working Space |
|---|---|---|---|
| Q20 | Simplify: 5a − 3 + 2a + 7 = ? | T3 | |
| Q21 | Simplify: 3(2x − 4) − 2(x+ 1) = ? (Note the negative sign assignment!) | T3 | |
| Q22 | Solve the equation: 4(x − 3) = 2x + 8 | T3 | |
| Q23 | 3 times a number plus 7 is equal to 4 times minus 5. This number = ? | T3 | |
| Q24 | The length of a rectangle is 6 cm more than its breadth, perimeter = 44 cm. Find the area of the rectangle. | T3+T5 |
| # | Question | trap | Working Space |
|---|---|---|---|
| Q25 | Calculate 0.36 × 2.5 = ? (Where to put the decimal point?) | T6 | |
| Q26 | Round 7.8645 to the percentile. Result = ? | T6 | |
| Q27 | Calculate 1.25 ÷ 0.5 = ? | T6 |
| # | Question | trap | Working Space |
|---|---|---|---|
| Q28 | Diameter of circle = 28 cm. Circumference = ? (Take π = 22/7) | circle week | |
| Q29 | The cuboid is 10 cm long, 6 cm wide, and 4 cm high. Volume = ? | volume | |
| Q30 | The cube water tank has a side length of 30 cm and contains23water. How many liters of water is there? (1 L = 1000 cm³) | volume | |
| Q31 | In the unfolded diagram of a cube, can the "field shape" be folded into a cube? | Origami | |
| Q32 | Water from cuboid water tank A (30×20×15 cm) is poured into cube B (side length 20 cm). Will the water overflow? | water displacement method |
| # | Question | trap | Working Space |
|---|---|---|---|
| Q33 | There are 120 pieces in a pack of sugar. I ate14and gave the remaining13to my brother. How many pills does the brother get? (Basic volume trap!) | T7 | |
| Q34 | A trapezoid and a parallelogram have equal heights. Upper base of trapezoid + lower base = base of parallelogram. The area of a parallelogram is 80 cm². Trapezoidal area = ? | T4+T5 | |
| Q35 | A cube water tank has a side length of 25 cm and is filled with water. A stone with a volume of 8000 cm³ is thrown into it. Will the water overflow? How much overflow? | T10 |