Measurement Worksheet - KS3 - Intermediate
Measurement worksheet for Key Stage 3 / Year 7-9 (Ages 11-14). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Exploring Measurement in Mathematics
Key Stage 3 / Intermediate Level
Instructions: This worksheet will guide you through various measurement-related problems. You'll explore concepts such as perimeter, area, volume, and unit conversions. Ensure you show all your workings clearly.
Perimeter and Area Calculations
Calculate the perimeter and area for each shape given below. Use the formulas: Perimeter = sum of all sides, Area = base × height for rectangles and triangles.
1. Rectangle: length = 8 cm, width = 5 cm. Perimeter: , Area:
2. Triangle: base = 6 cm, height = 4 cm, sides = 6 cm, 5 cm, 5 cm. Perimeter: , Area:
3. Square: side = 7 cm. Perimeter: , Area:
Volume of Prisms
For each prism, calculate the volume using the formula: Volume = base area × height. Show your workings.
1. Rectangular prism: length = 4 cm, width = 3 cm, height = 5 cm. Volume:
2. Triangular prism: base = 6 cm, height of base = 4 cm, prism height = 8 cm. Volume:
3. Cylinder: radius = 3 cm, height = 10 cm. Use π = 3.14. Volume:
Unit Conversion Practice
Convert the following measurements. Use the conversion factors: 1 km = 1000 m, 1 m = 100 cm, 1 cm = 10 mm.
1. 5 km to metres:
2. 2500 cm to metres:
3. 7.5 m to centimetres:
4. 120 mm to centimetres:
Surface Area of Solids
Calculate the surface area of the given solids. Use the formulas: Surface Area of a Rectangular Prism = 2(lw + lh + wh), Surface Area of a Cylinder = 2πr(h + r).
1. Rectangular prism: length = 5 cm, width = 3 cm, height = 4 cm. Surface Area:
2. Cylinder: radius = 2 cm, height = 7 cm. Use π = 3.14. Surface Area:
Estimating Measurements
Estimate the following measurements to the nearest whole number. Show your calculations.
1. Estimate the area of a circle with a radius of 5.5 cm using π ≈ 3. Use the formula Area = πr².
2. Estimate the volume of a cube with a side length of 4.8 cm. Use Volume = side³.
Real-world Application: Density
Calculate the density of the objects using the formula: Density = Mass/Volume. Provide your answer in g/cm³.
1. Object A: Mass = 200 g, Volume = 50 cm³. Density:
2. Object B: Mass = 150 g, Volume = 75 cm³. Density:
Compound Shapes
Calculate the area of the compound shapes by breaking them down into simpler shapes. Add the areas of the simpler shapes to find the total area.
1. A shape composed of a rectangle (10 cm by 4 cm) and a semicircle with a diameter of 4 cm. Total Area:
2. A shape composed of a square (5 cm by 5 cm) and a triangle with a base of 5 cm and height of 3 cm. Total Area:
Measurement in Context
Solve the following real-world problems using your knowledge of measurement. Show all your workings.
1. A garden is in the shape of a rectangle measuring 15 m by 10 m. How much fencing is needed to enclose the garden?
2. A cylindrical water tank has a radius of 2 m and a height of 5 m. How much water can it hold? Use π = 3.14.
Activity 1: Perimeter: 26 cm, Area: 40 cm² ; Perimeter: 16 cm, Area: 12 cm² ; Perimeter: 28 cm, Area: 49 cm²
Activity 2: 60 cm³ ; 96 cm³ ; 282.6 cm³
Activity 3: 5000 m ; 25 m ; 750 cm ; 12 cm
Activity 4: 94 cm² ; 113.04 cm²
Activity 5: 82 cm² ; 110 cm³
Activity 6: 4 g/cm³ ; 2 g/cm³
Activity 7: 54.28 cm² ; 32.5 cm²
Activity 8: 50 m ; 62.8 m³
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