This page fixes number fluency before students touch harder 0580 topics. It is built especially for non-calculator survival, careless-error reduction and mixed-question confidence.
Students often say “I don’t understand maths,” but the real problem is usually smaller and nastier: weak handling of signs, brackets, fractions, decimals, powers, roots, standard form and estimation.
This page trains students to recognise the number type, choose the first move, avoid common traps and check whether the answer makes sense.
Goal: students should be able to survive basic number work without relying on a calculator, guessing, or panicking.
Do this before reading the notes. No calculator for this diagnostic.
| No. | Question | Skill tested |
|---|---|---|
| 1 | -7 + 12 |
Negative numbers |
| 2 | -4 × -6 |
Sign rules |
| 3 | 18 ÷ -3 |
Sign rules |
| 4 | 6 + 3(8 - 5)^2 |
Order of operations |
| 5 | 1/2 + 1/3 |
Fraction addition |
| 6 | 3/4 ÷ 2/5 |
Fraction division |
| 7 | 0.06 × 300 |
Decimal place value |
| 8 | √81 + 2^4 |
Roots and powers |
| 9 | Write 420000 in standard form |
Standard form |
| 10 | Estimate 49.8 × 19.7 |
Estimation |
| Score | Meaning | Action |
|---|---|---|
| 0–4 | Foundation not safe yet | Start from the Method System and redo all Level 1 drills |
| 5–7 | Some skills are there, but errors are leaking marks | Study the traps and complete Level 1 + Level 2 drills |
| 8–9 | Mostly safe | Do Paper 2 non-calculator drill and error log |
| 10 | Strong | Move to mixed exam-style questions |
| Clue in the question | What to check first |
|---|---|
| Negative signs | Is it addition/subtraction or multiplication/division? |
| Brackets | Work inside brackets first |
| Powers/roots | Do powers and roots before multiply/add |
| Fractions | Do I need common denominator, multiply, or flip? |
| Decimals | Estimate size before calculating |
| Standard form | Is the number big or small? |
| “Estimate” | Round first, then calculate |
| Non-calculator paper | Use mental structure, not long panic working |
Ask these in order: