Integers · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. Which of the following is NOT an integer?
Show answer
Answer: C) 0.5
Integers are whole numbers and their negatives, including zero. 0.5 is a fraction (one half), so it is not an integer.
4. Find the value of (−24) + (−17) + 0.
Show answer
Answer: A) −41
Adding 0 changes nothing, so this is just (−24) + (−17). Same sign, so add the absolute values and keep the sign: 24 + 17 = 41, giving −41. Answering −7 comes from subtracting the two numbers, which is the rule for different signs, not for two negatives.
5. A team's points in a treasure hunt change round by round: −15, then +22, then −9, then +5. The team starts at 0. What are its points at the end, and is that above or below the start?
- A−3 points, below the start
- B51 points, above the start
- C0 points, level with the start
- D3 points, above the start
Show answer
Answer: D) 3 points, above the start
Add in order: 0 + (−15) = −15, then −15 + 22 = 7, then 7 + (−9) = −2, then −2 + 5 = 3. The team finishes on 3 points, just above where it started. Adding every round as a positive gives 51, and losing track of one sign is what turns 3 into −3.