Self-Test 01 - Notation & Logic

Check your understanding

This self-test lets you check your understanding of Session 01. It is purely formative: nothing is tracked or graded, and nobody sees your answers. Work through the Tasks first, then use this quiz to confirm the ideas have stuck. A wrong answer triggers a 10-second cooldown before you can retry, so think before you click.

1. Which of the following numbers is irrational?

2. Under this tutorial’s conventions, which statement about the number sets is true?

Intervals & Absolute Value

3. A carrier accepts parcels whose weight \(w\) (in kg) satisfies \(2 < w \leq 9\). Which interval describes the accepted weights?

4. How many integers \(x\) satisfy \(|x - 10| \leq 3\)? Type the number.

Sums & Products

5. Which is the correct expansion of \(\sum_{i=2}^{5} i^2\)?

6. Evaluate \(\sum_{i=1}^{4} (3i + 1)\). Type the number.

7. Evaluate \(\prod_{i=1}^{3} (i + 1)\). Type the number.

Logic

8. Suppose \(p\) is true and \(q\) is false. Which of the following is true?

9. What is the negation of “The truck is fully loaded and the driver is ready”?

10. A web shop promises: “If an order exceeds €500, shipping is free.” Anna’s order shipped for free. What can you conclude about her order value?

11. What is the negation of “Some customer paid late”?

12. Is the statement \(\forall n \in \mathbb{N}: n^2 \geq n\) true or false? Type one word, lowercase.

Well done. You solved every question. You have the notation and logic of Session 01 under control and are ready for Session 02 on sets.