中文（繁體）
中文（简体）
English
S1 Linear Equations and Word Problems Paper 1 (basics)
S1 Linear Equations and Word Problems Paper 1 (basics)
Ten basic items on two-step equations, choosing an unknown and simple word problems.
Direct answers Q1 x = 6, Q2 x = 8, Q3 x = 16, Q4 x = 9, Q5 7, Q6 width 5 cm and length 8 cm, Q7 n = 7, Q8 10 and 20, Q9 8 years old, Q10 the sign was not changed, x = 6.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: S1 Linear Equations and Word Problems |
| Level | S1 |
02 Questions (10 items)
- FoundationSolve 2x + 5 = 17.
- FoundationSolve 3x – 4 = 20.
- FoundationSolve x/4 + 3 = 7.
- IntermediateSolve 5x = 45.
- IntermediateThree times a number plus 4 equals 25. Find the number.
- IntermediateA rectangle is 3 cm longer than it is wide and has a perimeter of 26 cm. Find its width and length.
- ChallengeWing spends $100 on n notebooks at $12 each and gets $16 change. Find n.
- ChallengeTwo numbers add up to 30 and the larger is twice the smaller. Find them.
- ChallengeA father is four times as old as his son and their ages add up to 40. How old is the son?
- Error redoA pupil solves 2x + 5 = 17 by writing 2x = 17 + 5. What is wrong, and what is the correct answer?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | x = 6 | Subtract 5 from both sides to get 2x = 12, then divide by 2 to get x = 6. |
| 2 | x = 8 | Add 4 to both sides to get 3x = 24, then divide by 3 to get x = 8. |
| 3 | x = 16 | Subtract 3 to get x/4 = 4, then multiply both sides by 4 to get x = 16. |
| 4 | x = 9 | Divide both sides by 5 to get x = 9, and 5 times 9 does give 45. |
| 5 | 7 | Let the number be x: 3x + 4 = 25, so 3x = 21 and x = 7. |
| 6 | Width 5 cm, length 8 cm | With width w: 2(2w + 3) = 26 gives 4w + 6 = 26, so w = 5 and the length is 8 cm. |
| 7 | n = 7 | Set up 12n + 16 = 100, so 12n = 84 and n = 7 notebooks. |
| 8 | Smaller 10, larger 20 | With smaller s: s + 2s = 30 gives 3s = 30, so s = 10 and the larger is 20. |
| 9 | 8 years old | With son c: c + 4c = 40 gives 5c = 40, so c = 8 and the father is 32. |
| 10 | The sign was not changed: it should be 2x = 17 – 5, so x = 6 | Moving +5 across must flip the sign to -5, giving 12, then x = 6. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Substitute every answer back into its equation to build a checking habit.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.