Which unit is appropriate for the area of a classroom floor?
- seconds
- m³
- m
- m²
Answer and explanation
m²
m²
Subjects
Geometry
Choose questions individually, practise online, or create a worksheet with matching answers. Counts include generated variants, not only authored originals.
Make a worksheet4,395 question instances
Sample exercises
Which unit is appropriate for the volume of a box?
- cm
- cm²
- kilograms per second
- cm³
Answer and explanation
cm³
cm³
A rectangle is 7 cm by 4 cm. Find its perimeter in cm.
Answer and explanation
22
2 × (7 + 4) = 22
A rectangle is 7 cm by 4 cm. Find its area in cm².
Answer and explanation
28
7 × 4 = 28
Can two rectangles have the same area but different perimeters? Give an example.
Answer and explanation
Yes. A 6 by 2 rectangle and a 4 by 3 rectangle both have area 12, but perimeters 16 and 14.
Yes. A 6 by 2 rectangle and a 4 by 3 rectangle both have area 12, but perimeters 16 and 14.
A circle has diameter 18 cm. Its radius is
- 324 cm
- 36 cm
- 18 cm
- 9 cm
Answer and explanation
9 cm
9 cm
Study notes
Perimeter of a square
A square has four equal sides. Perimeter uses linear units.
Grades 3–5Pythagorean theorem
The hypotenuse is opposite the right angle and is the longest side.
Grades 8–10Area of a circle
Use the radius, not the diameter. These exercises request the coefficient of π.
Grades 7–10Circumference of a circle
The diameter is twice the radius.
Grades 7–10Area of a trapezoid
a and b are the parallel sides; h is the perpendicular distance between them.
Grades 6–9Volume of a cylinder
Multiply circular base area by perpendicular height.
Grades 8–10Interior angles of polygons
For a simple polygon, n is the number of sides and n ≥ 3.
Grades 7–9Find a missing rectangle side
Use consistent length and area units.
Grades 3–6Volume of two joined boxes
Add the volumes only when the boxes do not overlap.
Grades 5–8Volume of a cone
Use the perpendicular height and radius, not the diameter.
Grades 8–12Scale factors and area
A length scale factor k changes area by k squared.
Grades 7–10Geometry · Formula sheet
Rules, conditions and small examples in one printable reference.
Grades 3–5Geometry · Formula sheet
Rules, conditions and small examples in one printable reference.
Grades 6–8Geometry · Formula sheet
Rules, conditions and small examples in one printable reference.
Grades 9–10Geometry · Formula sheet
Rules, conditions and small examples in one printable reference.
Grades 11–12Geometry: units and dimensions
Perimeter uses length units, area uses square units and volume uses cubic units.
Grades 4–8Geometry: units and dimensions · revision card
Perimeter uses length units, area uses square units and volume uses cubic units.
Grades 4–8Geometry: justify, do not just measure
A drawing may not be to scale. Apply the stated properties.
Grades 5–9Geometry: justify, do not just measure · Revision card
A drawing may not be to scale. Apply the stated properties.
Grades 5–9Related courses
Mathematics4 lessons
University calculus and multivariable methods
Practise improper integrals, series, gradients and multiple integrals, with explicit conditions and worked examples.
32 quiz questions · University
Mathematics3 lessons
Linear algebra: spaces, eigenvectors and fitting
Develop matrix, vector-space and projection reasoning before using least squares.
24 quiz questions · University
Mathematics3 lessons
Differential equations and numerical methods
Connect initial conditions, linear differential equations and numerical approximation with error and conditioning.
24 quiz questions · University
Mathematics2 lessons
Probability models and continuous distributions
Work with conditional probability, normalization, densities and expectation.
16 quiz questions · University
Mathematics3 lessons
Real analysis: limits and rigorous reasoning
Build epsilon proofs and distinguish pointwise convergence, uniform convergence and compactness.
24 quiz questions · Advanced university
Mathematics3 lessons
Abstract algebra and discrete proofs
Study groups, vector-space quotients and proof techniques with carefully scoped definitions.
24 quiz questions · Advanced university, University
Mathematics5 lessons
Advanced mathematical methods
Study complex analysis, residues, Fourier series, PDE boundary conditions and convexity through focused lessons.
40 quiz questions · Advanced university
Mathematics4 lessons
Practical statistics and inference
Learn descriptive statistics, probability, sampling and inference with worked reasoning.
32 quiz questions · University