Thursday, September 3, 2026

PSHS NCE Geometry and Measurement Reviewer

TEACHER ABI PSHS NCE · QUANTITATIVE ABILITY

Geometry and Measurement

Use perimeter, area, angle facts, and unit conversions quickly and accurately.

Grade 6–7 friendlyPerimeter + AreaAngles + UnitsQuick Fire + Mastery
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Geometry and Measurement

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Know what the question is measuring

Perimeter is the distance around a shape.

Area is the amount of space inside a flat shape.

Rectangle:
Perimeter = 2L + 2W
Area = L × W
DO IT FAST

Use IDENTIFY → FORMULA → UNIT

  1. IDENTIFY: Is the problem asking for perimeter, area, angle, or measurement?
  2. FORMULA: Use only the formula you need.
  3. UNIT: Check cm vs cm², m vs m², minutes vs hours, and so on.
  4. REASON: Ask whether your answer is the right size.
WORKED EXAMPLES

Six patterns you should recognize

1. Rectangle perimeter

Length 8 cm, width 5 cm.

2(8) + 2(5) = 26 cm
26 cm

2. Rectangle area

Length 9 m, width 4 m.

9 × 4 = 36 m²
36 m²

3. Triangle area

Base 10 cm, height 6 cm.

1/2 × 10 × 6 = 30 cm²
30 cm²

4. Angle fact

Angles on a straight line add to 180°. If one angle is 125°, the other is:

180 − 125 = 55°
55°

5. Unit conversion

3.5 m = ? cm

3.5 × 100 = 350 cm
350 cm

6. Time conversion

2.5 hours = ? minutes

2.5 × 60 = 150 minutes
150 minutes
TRY WITH ME

Perimeter or area?

A rectangular garden is 12 m long and 7 m wide. How much fencing is needed to go around it?

  1. Fencing goes around the garden.
  2. So we need perimeter.
  3. 2(12)+2(7)=24+14.
38 m
COMMON TRAPS

Watch out for these

Using area when the question asks “around.”
Around means perimeter.
Forgetting square units.
Area uses cm², m², and so on.
Using a slanted side as triangle height.
The height must be perpendicular to the base.
Converting units in the wrong direction.
1 m = 100 cm, so meters to centimeters gets larger.
REGULAR PRACTICE

Build the skill

These mix perimeter, area, angles, and measurement conversions.

QUICK FIRE

Can you choose the right formula fast?

Five short questions. Decide what is being measured before calculating.

Question 1 of 5
FRESH MASTERY CHECK

Can you do it without hints?

Score 5/5 to verify this competency. If you miss one, a fresh set will be ready.

NEED HELP?

Geometry formulas getting mixed up?

Send Teacher Abi the problem that confused you and your result. I can help you identify what the question is actually measuring.

Message Teacher Abi
PSHS NCE REVIEW PATH

Choose your next step

Next competency: Patterns, Sequences, and Number Relationships

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