Year 7 Measurement Revision

Name:

Date:

📏 Part 1: Unit Conversions & Formulas

Metric Unit Conversions:

1 km = 1000 m | 1 m = 100 cm | 1 cm = 10 mm

Key Formulas:

• Rectangle: Perimeter = 2(l + w), Area = l × w

• Square: Perimeter = 4s, Area = s²

• Triangle: Area = ½ × base × height

• Circle: Circumference = 2πr or πd

• Cuboid: Volume = l × w × h

1. Convert these measurements:

a) 2.5 km = ________ m

b) 350 cm = ________ m

c) 45 mm = ________ cm

2. A rectangle has length 8 cm and width 5 cm. Calculate:

Rectangle shape:

    ┌─────────────────┐
    │                 │ 5 cm
    │                 │
    └─────────────────┘
          8 cm

Perimeter = ________ cm

Area = ________ cm²

📐 Part 2: Area and Perimeter Problems

3. A square playground has sides of 12 m. Find the perimeter and area.

Square shape:

    ┌─────────┐
    │         │ 12 m
    │         │
    └─────────┘
       12 m

Perimeter = ________ m

Area = ________ m²

4. A triangle has a base of 6 cm and height of 4 cm. What is its area?

Triangle shape:

        △
       /│\
    4 / │ \ 4 cm (height)
     /  │  \
    /___│___\
       6 cm (base)

Area = ________ cm²

5. A circular garden has a radius of 3 m. Calculate the circumference. (Use π = 3.14)

Circle shape:

        ●───── 3 m (radius)
      ╱   ╲
     ╱     ╲
    │   ●   │
     ╲     ╱
      ╲___╱

Circumference = ________ m

6. Find the area of this compound shape:

Compound shape: A rectangle (8cm × 4cm) with a square (2cm × 2cm) cut out from one corner

    ┌─────────────────┐
    │                 │ 4 cm
    │     ┌───┐       │
    │     │   │ 2cm   │
    │     └───┘       │
    └─────────────────┘
           8 cm

Area = ________ cm²

📦 Part 3: Volume and Challenge Problems

7. A cube has edges of 5 cm. What is its volume?

Cube shape:

      ┌─────┐
     ╱     ╱│ 5 cm
    ┌─────┐ │
    │     │ │ 5 cm
    │     │╱
    └─────┘
     5 cm

Volume = ________ cm³

8. A rectangular box (cuboid) measures 10 cm long, 6 cm wide, and 4 cm high. Calculate the volume.

Cuboid shape:

      ┌─────────────┐
     ╱             ╱│ 4 cm
    ┌─────────────┐ │ (height)
    │             │ │
    │             │╱ 6 cm (width)
    └─────────────┘
       10 cm (length)

Volume = ________ cm³

9. A semicircle has a diameter of 8 cm. Find its perimeter (curved edge + diameter).

Semicircle shape:

      ╱─────────╲
     ╱           ╲
    │      ●      │
    └─────────────┘
        8 cm (diameter)

Perimeter = ________ cm

10. Challenge: A rectangular field is 50 m long and 30 m wide. If fencing costs $15 per metre, how much will it cost to fence the entire perimeter?

Rectangular field:

    ┌─────────────────────────────────────────────────┐
    │                                                 │ 30 m
    │              FIELD                              │
    │                                                 │
    └─────────────────────────────────────────────────┘
                        50 m

Total cost = $ ________