Single-Subject Prep

Practice your Mathematics skills with exams tailored for the TU Delft Aerospace Engineering entrance exam. The exams cover key topics such as functions, calculus, and trigonometry, based on the content you’ll encounter. Each exam is automatically graded, and you can review step-by-step solutions to understand each problem better.

The math practice exams include questions on the following topics:

• Functions and Graphs: recognition and drawing of polynomial functions, root functions, power functions, logarithmic functions, analyze and draw transformations of these standard functions, determine limits, domain, range, asymptotes and symmetry points, inverse functions
• Algebraic Solving: isolating variables in an expression, rearrange expressions into simplified form, find roots of functions with factorization, solve system of linear equations
• Differential Calculus: derivatives of standard functions, application of product/quotient/chain rule, first and second derivative and analyzing local maximums and minimums and local concave and convex behavior, inflection points, solve optimization problems
• Integral Calculus: limits of integration, definite/indefinite integrals, calculate integral of standard functions, determining surface area, volume of a solid revolution, arc length and mean value of a function
• Trigonometry: functions such as sin(x), cos(x), tan(x), unit circle, exact values of basic trigonometric functions for multiples of angles in the first quadrant, application of the Pythagorean identity, sum and difference identities, double angle formulae
• Geometry: calculate surface and perimeter of two dimensional shapes, calculate volume and surface area of three dimensional objects, determination of lengths and angles with properties of lines, triangles, and quadrilaterals, formulate equations for lines and circles, intersections between lines and circles, distance between points, lines and circles
• Vectors: determine length and direction of vectors, decompose vectors, dot product of two vectors, calculation of angles and distances between vectors, solve problems involving velocity, and acceleration of a point whose path is described by a time-dependent vector representation

Prepare for the Physics section of the TU Delft Aerospace Engineering entrance exam with practice exams that focus on important areas like mechanics, electric and magnetic fields, and waves. These exams are based on the content of the actual exam. After completing an exam, you receive automatic grading and access to detailed solutions.

The physics practice exams contain questions on the following topics:

• Fundamentals: SI units, vector operations, metric prefixes, scientific notations, linear/logarithmic/double logarithmic diagrams, significant figures
• Mechanics: relation between distance, velocity and acceleration, apply the laws of Newton, principles of work, energy, power and efficiency, circular motion in the context of planetary orbits.
• Electric and Magnetic Fields: principles of electricity, construct and interpret circuit diagrams, electric power and efficiency, Coulomb's law, concepts of induction, flux homogenous and inhomogeneous magnetic fields, calculate Lorentz force
• Properties of Fluids and Solids: macroscopic and microscopic view of gases, application of the ideal gas law, conversion between Celsius and Kelvin, calculations of thermal energy
• Vibrations and Waves: principles of vibrations, period, frequency, amplitude, phase, resonance, damping, analyse simple harmonic motion, wave phenomena, speed, phase, wavelength
• Modelling: interpret model studies in the context of the previous concepts

Prepare for the Aerospace Engineering program at TU Delft with practice exams based on the First-Year Topics. Our questions follow the latest First-Year Topics syllabus published by TU Delft and are refreshed as soon as the next one is released, covering aerospace structures and materials, aerodynamics, flight mechanics, and space. Each exam features automatic grading and detailed solutions to support your learning.

The First Year Topics practice exams contain questions on the following topics:

• Aerospace Structures and Materials: airframe design, structural concepts, fuselage and wing structures, torsion box, structural details, typical spacecraft and launch vehicle structures
• Aerodynamics: how aircraft fly, fundamentals of aerodynamics, the continuity equation, incompressible and compressible flow, the momentum equation, basics of viscous flow, lift, drag, and moment coefficients
• Flight Mechanics: introduction to flight mechanics, equations of motion, thrust level, power required, altitude effects on power required, rate of climb, gliding flight
• Space: launch vehicles, orbits

Each practice exam comes with a detailed mark scheme and worked solutions for every question. After completing an exam, you will receive automatic grading to help you understand your performance. The step-by-step solutions show you how to approach each problem and the correct methods to use, making it easier to learn from your mistakes and improve your skills with each attempt.