Success Homeschool

Year 7 Mathematics · Integers

Name: ______________________

Date: ____________

1. Which of these numbers is the smallest?
- ☐ (a) −2
- ☐ (b) −7
- ☐ (c) 0
- ☐ (d) 3
2. Which statement is true?
- ☐ (a) −5 > −1
- ☐ (b) −3 > 2
- ☐ (c) −1 > −5
- ☐ (d) 0 < −4
3. The temperature is −3 °C and then falls by 4 degrees. What is the new temperature?
- ☐ (a) 1 °C
- ☐ (b) −1 °C
- ☐ (c) −7 °C
- ☐ (d) 7 °C
4. In a building, the ground floor is 0 and basement floors are negative. A lift starts on floor 2 and goes down 5 floors. Which floor does it stop on?
- ☐ (a) −3
- ☐ (b) 3
- ☐ (c) −7
- ☐ (d) 7
5. What number is 6 less than 2?
6. What is the difference in degrees between 8 °C and −3 °C?
7. Which integer is exactly halfway between −6 and 2 on a number line?
8. Ella's savings tracker shows −$15 because she owes her brother $15. She then earns $40 and adds it to her tracker. How many dollars will the tracker show now?

Answer sheet

1. −7 — −7 is the furthest left on a number line, so it is the smallest.
2. −1 > −5 — −1 is to the right of −5 on the number line, so −1 is greater than −5.
3. −7 °C — Start at −3 and move 4 steps left: −4, −5, −6, −7. The new temperature is −7 °C.
4. −3 — Start at 2 and move 5 steps down: 1, 0, −1, −2, −3.
5. −4 — Start at 2 and move 6 steps left: 1, 0, −1, −2, −3, −4.
6. 11 — From −3 to 0 is 3 degrees, and from 0 to 8 is 8 degrees. 3 + 8 = 11.
7. −2 — The distance from −6 to 2 is 8. Half of 8 is 4, and 4 steps right from −6 is −2.
8. $25 — Start at −15 and move 40 to the right. 15 steps reach 0, and the remaining 25 steps reach 25.