MATH 100 practice
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Build confidence with topic-based questions, realistic mock exams, and step-by-step solutions for first-year differential calculus.
- Questions
- 31
- Topics
- 8
- Mock papers
- 3
Try one now
- Topic
- Limits and continuity
- Level
- Introductory
- Time
- 2 min
Evaluate the limit.
Original demonstration question written for Longhand.
What do you want to practise?
The eight topics of MATH 100, in the order the course takes them.
- Introductory
- Standard
- Challenging
Functions and graphs
Domain, composition, transformations and reading a graph.
2 questions
Introductory to Standard
—
Limits and continuity
Indeterminate forms, one-sided limits, asymptotes and continuity.
7 questions
Introductory to Challenging
—
Derivative definition
The difference quotient, differentiability and rate of change.
2 questions
Introductory to Standard
—
Differentiation rules
Power, product, quotient and chain rules, and combining them.
6 questions
Introductory to Challenging
—
Implicit differentiation
Differentiating relations, solving for dy/dx, tangent lines.
3 questions
Standard to Challenging
—
Related rates
Translating a moving situation into an equation, then differentiating.
4 questions
Standard to Challenging
—
Optimization
Building an objective function and justifying the extreme value.
5 questions
Standard to Challenging
—
How it works
Choose a topic
Eight topics follow the order of the course. Each one tells you how many questions it holds and how hard they get, so you can pick by what you actually need.
Solve targeted questions
Hints are there if you want them and stay hidden if you do not. Answers are checked as you write them, including fractions and exact values.
Review mistakes and improve
Every solution names the mistake the question is built to catch, and the prerequisite behind it. Your weakest topics decide what gets suggested next.
Ready to test yourself under exam conditions?
Three papers with a running clock, question flags and a mark breakdown at the end. All three can also be worked through untimed.
Midterm
MATH 100 Mock Midterm 1
Covers the first half of the course: limits, continuity, the definition of the derivative and the standard differentiation rules.
- Limits and continuity
- Derivative definition
- Differentiation rules
- Duration
- 50 min
- Questions
- 11
- Marks
- 22
- Difficulty
- StandardStandard
Midterm
MATH 100 Mock Midterm 2
Covers the applications half: implicit differentiation, related rates and the derivative tests behind curve sketching.
- Implicit differentiation
- Related rates
- Curve sketching
- Differentiation rules
- Duration
- 50 min
- Questions
- 8
- Marks
- 21
- Difficulty
- ChallengingChallenging
Final
MATH 100 Comprehensive Mock Final
The whole course in one sitting, weighted towards the applications that carry the most marks on a final.
- Functions and graphs
- Limits and continuity
- Derivative definition
- Differentiation rules
- Implicit differentiation
- Related rates
- Optimization
- Curve sketching
- Duration
- 120 min
- Questions
- 14
- Marks
- 37
- Difficulty
- ChallengingChallenging
33 exam questions · 80 marks in total