Mathematics/Question 3 skill map/Measure & Calculate

QUESTION 3 · Measurement

Measure & Calculate

Connect accurate measurements, scales and right triangles.

DISCOVER · PREDICT BEFORE YOU CHANGE

Make the relationship visible

13 cmh6.5 cm6.5 cm

Predict the missing leg before changing the side. The altitude creates two right triangles.

h² + (6.5)² = 13²
h = 11.26 cm

The screen rescales to fit. Use the labelled lengths for calculation, and the printed sheet for ruler measurements.

CHOOSE AN INDIVIDUAL ACTION

Measure and use a scale

Read ruler and protractor values, convert a scale length and reverse the conversion.

6 stages48 mixed itemsSee exam connections

Check Your Skill Level

All 48 canonical questions for this skill, grouped by stage. Use this printable check to find where review is needed.

Download PDF Open PDF

YOUR SKILL LADDER

Measure and use a scale

0/6 mastered
Before you start

Convert centimetres and metres; subtract a non-zero ruler reading.

Already secure with these actions? Open any stage directly.

SHORT TUTORIAL

  1. 1

    Write what one drawing unit represents, then keep drawing and real units separate.

  2. 2

    Read exactly what is stated. Separate guaranteed facts from appearance.

  3. 3

    At 1 : n, multiply drawing length by n in the SAME units before converting.

COACH · ANTICIPATE EACH DECISION

Which unit is suitable for an angle: cm, m or degrees?

Before revealing: which property or operation will you use?

    Watch for this: Start from the zero mark, or subtract the start reading. Do not measure a responsive screen as a real ruler.

    MIXED PRACTICE · 8 ITEMS

    Practise. Explain. Check.

    Show your working or construction on paper. State units where asked. For questions 7 and 8, explain your method. Numerical entries may be rounded to 2 decimal places. Later stages retrieve earlier methods. Answers and explanations stay separate.

    Download PDF Open PDF
    See answers & explanations
    1. cm

      Use degrees for a turn; centimetres for small paper lengths; metres for the stated field or road length.

    2. m

      Use degrees for a turn; centimetres for small paper lengths; metres for the stated field or road length.

    3. Degrees

      Use degrees for a turn; centimetres for small paper lengths; metres for the stated field or road length.

    4. cm

      Use degrees for a turn; centimetres for small paper lengths; metres for the stated field or road length.

    5. m

      Use degrees for a turn; centimetres for small paper lengths; metres for the stated field or road length.

    6. Degrees

      Use degrees for a turn; centimetres for small paper lengths; metres for the stated field or road length.

    7. cm

      Use degrees for a turn; centimetres for small paper lengths; metres for the stated field or road length.

    8. m

      Use degrees for a turn; centimetres for small paper lengths; metres for the stated field or road length.

    Self-assess only after at least 7 of 8 independently, including both reasoning items. At stages 4–6, explain a method choice. Before calling the whole skill secure, solve two unseen variants including another context. Repeat after several days. These are teaching targets.

    Use this skill somewhere else

    Connect it to another action, then solve a fresh problem without a method cue.

    Enlarge and reconstruct Construct triangles with arcs Intersect two conditions

    Mastery choices are saved in this browser on this device. Numerical checks and reason choices are shown separately. Paper drawings and constructions need your own or your teacher’s review.