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National 4 Applications homework set

Unit readiness support | 20-30 minutes | Mixed practice

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Date:

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Pupil instructions

Answer each question in your jotter or on the printed sheet. Show enough working for your teacher to see your method.

  1. A rectangle is 10 cm by 6 cm. Find the area.

    Support hint: Shade the rectangle.

  2. A scattergraph trend rises from left to right. Name the correlation.

    Support hint: Draw a simple rising line.

  3. A scale is 1 cm = 9 km. What real distance is 8 cm?

    Support hint: Write the scale as a ratio.

  4. A phone plan costs £10 per month plus £45 upfront. What must be included when comparing 6-month costs?

    Support hint: Use a two-column table.

  5. A wall is 8 m wide and 6 m high. Paint covers 10 m² per litre. What calculation finds litres needed?

    Support hint: Write area in m² first

  6. 13 notebooks cost £19.50. How much do 17 notebooks cost at the same price each?

    Support hint: Find the cost of one notebook first.

  7. The mean of 9, 13, 15 and 19 is what?

    Support hint: Count the number of values.

  8. A car travels 120 miles in 7 hours. Find average speed.

    Support hint: Use the speed triangle.

  9. More people share the same bill, so each person pays less. Is this direct or inverse proportion?

    Support hint: Look for whether the second amount goes up or down.

  10. A probability is 0.3. Write it as a percentage.

    Support hint: Use 0.5 = 50%.

Answer key

  1. 60 cm²

    Area equals length times breadth.

  2. Positive correlation

    Rising trend means positive correlation.

  3. 72 km

    Multiply map length by scale value.

  4. Six monthly payments and the upfront cost

    Compare total costs over the same time period.

  5. (8 × 6) ÷ 10

    Find the wall area first, then divide by coverage.

  6. £25.50

    Find one notebook, then scale up to the new number.

  7. 14

    Add all values and divide by 4.

  8. 17.1 mph

    Speed equals distance divided by time.

  9. Inverse proportion

    The total bill stays the same, so more people means a smaller share each.

  10. 30%

    Multiply decimal by 100.