Numbers and place value · Ages 10–11
Negative numbers worksheet
Covers: Negative numbers around us, Comparing and ordering negative numbers, Counting through zero, Differences across zero, Adding and subtracting on a number line, Coordinates in four quadrants
In the print window, choose “Save as PDF” to download it. The answers print on the last page.
Negative numbers worksheet
Numbers and place value · Ages 10–11
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.How many degrees apart are −6°C and −15°C?
Answer:
2.How many degrees apart are the temperatures on thermometers A and B?
Answer:
3.To work out 5 − 13, move left from 5: first steps to 0, then more steps to the answer.
Fill in each blank
Answer:
4.Three corners of a rectangle are (−4, 2), (−4, −1) and (6, −1), its sides parallel to the axes. The fourth corner is (, ).
Fill in each blank
Answer:
Part B: Choose, or true or false (2 marks each)
5.What number is the arrow pointing to on the number line?
- A. −1
- B. 0
- C. −2
- D. 1
Choose the right answer
Answer:
6.In a lift, the ground floor G is like 0. Going up are floors 1, 2, …; going down are B1, B2, …. Which number stands for B4?
- A. 4
- B. −4
- C. −5
- D. −3
Choose the right answer
Answer:
7.7 is greater than −8.
True or false?
Answer:
8.−1°C is colder than −8°C.
True or false?
Answer:
9.Counting back 2 at a time: 4, 2, 0. What comes next?
- A. 2
- B. −4
- C. 0
- D. −2
Choose the right answer
Answer:
10.The thermometer shows the temperature now. If it rises 10 degrees, what will it be?
- A. −9°C
- B. 10°C
- C. 9°C
- D. −11°C
Choose the right answer
Answer:
11.5 − 14 = ?
- A. −9
- B. −10
- C. −8
- D. 9
Choose the right answer
Answer:
12.The point (3, −2) is to the left of the y-axis and above the x-axis.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.A freezer is at 18 degrees below zero, written in numbers as 18°C.
True or false?
Working:
Answer:
14.A city's lowest temperatures over a week were −8°C, −6°C, −6°C, −4°C, −4°C, 4°C and 2°C. On how many days was the lowest temperature below 0°C?
Working:
Answer:
15.A piece of frozen meat comes out of the freezer at −10°C. Left out, it warms up 5 degrees in the first hour and 9 more in the second. What is its temperature now?
Working:
Answer:
16.May's dad parks the car on basement floor B5, and the family takes the lift up to floor 27. How many floors does the lift go up?
Working:
Answer:
17.Taking G as 0, a lift on floor 3 goes down 8 floors to a basement, then up 14 floors. Which floor is it on now?
Working:
Answer:
18.On a treasure map, start at the origin (0, 0), go 3 squares left and then 4 squares down to find the treasure. What are the treasure's coordinates?
- A. (−3, 4)
- B. (3, 4)
- C. (−3, −4)
- D. (−4, −3)
Choose the right answer
Working:
Answer:
Show the answers and working
Negative numbers worksheet: Answers and working
Part A: Working out and filling in
1. 9 degrees
−6 and −15 are both below 0. First see how far each one is from 0.
Both are below 0: take their distances from 0 away from each other, 6 and 15: 9 degrees.
2. 23 degrees
Read both thermometers first. If one is below 0°C and the other above, count in two parts.
A shows 12°C and B −11°C: counting the marks from the lower up to the higher, they are 23 degrees apart.
3. 5, 8
Moving left from 5, how many steps reach 0? And how many of the 13 steps are left after that?
5 steps reach 0 and 13 − 5 = 8 remain: the answer is −8.
4. 6, 2
Mark the three corners on a grid first, and see which corner the missing one sits straight above or below.
The fourth corner is straight above or below (6, −1), so x is 6, and level with (−4, 2), so y is 2.
Part B: Choose, or true or false
5. A. −1
Find 0 first. Which side of 0 is the arrow on, and how many steps away is it?
The arrow is 1 steps left of 0, so the number is negative: −1.
6. B. −4
G is 0. B4 is below ground, so it is negative. How many floors below G is it?
B4 is the 4th floor below ground, 4 below 0: −4.
7. True
Find 7 and −8 on a number line and see which one is further right.
On a number line, the further right, the bigger: see whether 7 is to the right of −8.
8. False
Both are below zero. On a thermometer, which is lower, −1°C or −8°C?
Both are below zero: the further from 0°C, the lower on the thermometer and the colder.
9. D. −2
Each time minus 2. Move 2 steps left from 0; past 0 the numbers are negative.
2 less each time: 2 less than 0 is −2. Past 0, the numbers are negative.
10. C. 9°C
Read the temperature first. How many degrees does it take to reach 0°C? Then count the rest on up.
From −1°C, rise 1 degrees to 0°C, then 9 more: 9°C.
11. A. −9
Subtracting 14 means 14 steps left from 5. 5 steps take you to 0; how many more are there?
From 5 move 14 steps left: 5 of them reach 0, and 9 more reach −9.
12. False
Left or right of the y-axis depends on x, here 3; above or below the x-axis depends on y, here −2.
x is 3: negative is left of the y-axis, positive right. y is −2: positive is above the x-axis, negative below.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. False
A temperature below zero needs a minus sign. Check whether 18 has one, and whether the number is 18.
A temperature below zero takes a minus sign: 18 degrees below zero is −18°C.
14. 5 days
Temperatures below 0°C have a minus sign. Go through them one by one; 0°C doesn't count.
Below 0°C means negative: count the temperatures with a minus sign. There are 5. 0°C is not below 0°C.
15. 4°C
How much does it warm up over the two hours? Work out 5 + 9 first.
−10°C needs 10 degrees to reach 0°C; then see how many degrees are left.
It rises 5 + 9 = 14 degrees in all: 10 to reach 0°C, then 4 more, to 4°C.
16. 32 floors
Count in two parts: how many floors from B5 up to G, and then from G up to floor 27?
B5 to G is 5 floors and G to floor 27 is 27: 5 + 27 = 32 floors.
17. 9
First find where the lift is after going down 8: 3 − 8; below 0 is a basement.
Then go up 14 floors from there; G counts as a floor on the way.
3 − 8 = −5, which is B5; −5 + 14 = 9, floor 9.
18. C. (−3, −4)
Going left makes x negative and going down makes y negative. Write x first, then y.
3 left: x = −3; 4 down: y = −4. The treasure is at (−3, −4).
Numsprite · numsprite.com/en/worksheets/negative-numbers
Practise it in the gameNegative numbers · Unlimited questions, no download