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Primary 6 Area III Practice

Primary 6 · 20 practice questions with instant marking and worked solutions.

Area III is an important part of the Primary 6 mathematics curriculum. This topic develops distinguishing perimeter from area, formulae, units and decomposition. Begin by identifying what every number, symbol, diagram and unit represents. Translate the information into a mathematical relationship before calculating. Each line of working should have a purpose. Finally use estimation, substitution, an inverse operation, or a second representation to check the result. This habit separates a misunderstanding from a copying error and makes correction more useful.

A reliable approach to Area III has four stages. First, mark the given information and the quantity required. Second, choose an appropriate representation, property or formula. Third, carry out the operations in a clear order while retaining signs and units. Fourth, return to the original context and decide whether the result is possible. For a graph or table, read the title, scale and labels before using a value. For algebra, inspect brackets, negative signs and the order of operations before simplifying.

The twenty original questions in this topic use a shared mathematical specification in Chinese and English. Difficulty rises from level 1 to level 5. Early questions establish the language and direct skills of Area III; middle questions add two-step reasoning, conversions and common variations; later questions connect ideas and require a deliberate check. In multiple-choice work, calculate before looking at the choices. In fill-in and short-answer work, retain decisive steps. For true-or-false statements, support the decision with a calculation or counterexample.

Effective revision is more than recording a score. After completing the Area III set, group errors by concept tags and decide whether each problem arose from interpretation, forming an expression, calculation, or presenting the answer. Retry the item on a later day without opening the solution, then test the same method with a different value. If the same tag appears repeatedly, return to the explanation and rebuild the concept. If signs or units are the issue, use a fixed pre-submission checklist.

Area III should also connect with the rest of mathematics. Number and algebra supply calculation tools; measurement and geometry give spatial meaning; data handling asks what a result means. A learner who can explain aloud why every step is valid has moved beyond imitation. Estimate a reasonable range, complete an exact solution, and compare the two. Agreement between context, estimate and exact answer is strong evidence that the solution is sound.

Start practising

  1. 1 Basic
    In Area III, calculate $9\times 4$. Choose the correct answer.
  2. 2 Basic
    In Area III, calculate $10\times 5$. Give the numerical value only.

  3. 3 Basic
    In Area III, calculate $11\times 4$. Show the essential working and give the numerical value.

    Reproducible diagram for Area III; values and labels are stated in the question

  4. 4 Basic
    In Area III, the value of $8\times 5$ is 41. Is this statement true?
  5. 5 Standard
    In Area III, calculate $13\times 7$. Choose the correct answer.
  6. 6 Standard
    In Area III, calculate $14\times 8$. Give the numerical value only.

  7. 7 Standard
    In Area III, calculate $15\times 7$. Show the essential working and give the numerical value.

  8. 8 Standard
    In Area III, the value of $12\times 8$ is 96. Is this statement true?
  9. 9 Advanced
    In Area III, calculate $17\times 10$. Choose the correct answer.
  10. 10 Advanced
    In Area III, calculate $18\times 11$. Give the numerical value only.

  11. 11 Advanced
    In Area III, calculate $19\times 10$. Show the essential working and give the numerical value.

  12. 12 Advanced
    In Area III, the value of $16\times 11$ is 177. Is this statement true?
  13. 13 Challenging
    In Area III, calculate $21\times 13$. Choose the correct answer.
  14. 14 Challenging
    In Area III, calculate $22\times 14$. Give the numerical value only.

  15. 15 Challenging
    In Area III, calculate $23\times 13$. Show the essential working and give the numerical value.

  16. 16 Challenging
    In Area III, the value of $20\times 14$ is 280. Is this statement true?
  17. 17 Elite
    In Area III, calculate $25\times 16$. Choose the correct answer.
  18. 18 Elite
    In Area III, calculate $26\times 17$. Give the numerical value only.

  19. 19 Elite
    In Area III, calculate $27\times 16$. Show the essential working and give the numerical value.

  20. 20 Elite
    In Area III, the value of $24\times 17$ is 409. Is this statement true?

The report lists what you got wrong and why. Only you can see it.

Common mistakes

Common mistakes in Area III

This topic needs particular care with distinguishing perimeter from area, formulae, units and decomposition. The first mistake is applying a remembered rule before reading all conditions. The second is compressing working so much that a sign, bracket, decimal point or unit disappears. The third is accepting an impossible answer without checking: for example, a probability above one, a negative physical length, an angle outside the geometric constraints, or a result far from the estimate. Separate the conditions, model, calculation and check, and finish by stating what the answer represents.

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