Class 6 · Maths · 2026-27

Integers and the number line with Answers

Integers are the first genuinely abstract idea in school maths - minus three of something that cannot be held. Most errors here are not carelessness but an unresolved confusion about the minus sign, which now means two different things at once.

34 questions · 25 minutes · full answer key · free printable PDF · no sign-up

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practice · medium · 25 min

Integers and the number line

Class 6 Maths · Integers · 34 questions with answers

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Integers are the first genuinely abstract idea in school maths - minus three of something that cannot be held. Most errors here are not carelessness but an unresolved confusion about the minus sign, which now means two different things at once.

Places any integer on a number line and compares two integers
Adds and subtracts integers using a model rather than a memorised rule
Explains why a particular answer is negative

Exercise 1 of 3 · 12 questions

Write each set in order, smallest first.

Write the answer · Warm-up

Here’s one done for you

3, -7, 0, 5, -2 → -7, -2, 0, 3, 5. On a number line, further left is always smaller. The second set catches most children: -18 is smaller than -3, because a larger digit after a minus sign means further left, not bigger. Drawing the line once fixes this permanently.

1)3, -7, 0, 5, -2
2)-12, -3, -18, -9
3)8, -8, 1, -1, 0
4)-45, 45, -54, 54
5)6, -6, 2, -11, 0
6)-30, -13, -25, -8
7)17, -17, -71, 71
8)-1, -100, -10, 0
9)9, -4, -9, 4, -14
10)-60, 16, -16, 60, 0
11)23, -32, -23, 32
12)-5, -50, 5, 50, -55

Answers

1) -7, -2, 0, 3, 5
2) -18, -12, -9, -3
3) -8, -1, 0, 1, 8
4) -54, -45, 45, 54
5) -11, -6, 0, 2, 6
6) -30, -25, -13, -8
7) -71, -17, 17, 71
8) -100, -10, -1, 0
9) -14, -9, -4, 4, 9
10) -60, -16, 0, 16, 60
11) -32, -23, 23, 32
12) -55, -50, -5, 5, 50

Exercise 2 of 3 · 12 questions

Work these out. Show the step.

Write the answer · Guided

Here’s one done for you

(-6) + 4 → start at -6 on the line and move 4 steps right, because adding moves right. You land on -2. For (-8) - (-5): subtracting a negative moves right, so start at -8 and move 5 right, giving -3. Teach the two moves - add goes right, subtract goes left, and a second minus flips the direction - rather than four separate rules.

1)(-6) + 4
2)5 + (-9)
3)(-3) - 7
4)(-8) - (-5)
5)12 + (-12)
6)(-4) - (-11)
7)(-15) + 8
8)7 + (-13)
9)(-9) - 6
10)(-20) - (-14)
11)(-11) + 11
12)(-5) - (-17)

Answers

1) -2
2) -4
3) -10
4) -3
5) 0
6) 7
7) -7
8) -6
9) -15
10) -6
11) 0
12) 12

Exercise 3 of 3 · 10 questions

Answer each one. Write the calculation, then the answer.

Write the answer · Practice

Here’s one done for you

Temperature 5, falls by 9 → 5 - 9 = -4, so -4 degrees. The maths is the easy part; turning the sentence into a calculation is the skill. Look for the word that tells you the direction - fell, rose, owes, down - and let it choose the sign before writing anything.

1)The temperature was 5 degrees and fell by 9 degrees. What is it now?
2)A lift is on the 3rd floor and goes down 7 floors. Where is it?
3)A submarine at -120 m rises 45 m. What is its depth now?
4)Rahul owes 250 rupees and then earns 400. What is his position?
5)A town was at 8 degrees at noon and dropped 14 degrees by night. What was the night temperature?
6)A diver at -30 m goes down another 25 m. What depth is she at?
7)A basement lift starts at -2 and rises 9 floors. Which floor is it on?
8)Meera has 180 rupees and spends 260. What is her position?
9)A mountain peak is 2,400 m above sea level and a mine is 350 m below it. What is the difference in height?
10)The temperature rose from -6 degrees to 7 degrees. By how much did it rise?

Answers

1) 5 - 9 = -4, so it is -4 degrees.
2) 3 - 7 = -4, so it is 4 floors below ground.
3) -120 + 45 = -75, so it is at -75 m.
4) -250 + 400 = 150, so he has 150 rupees.
5) 8 - 14 = -6, so it was -6 degrees.
6) -30 - 25 = -55, so she is at -55 m.
7) -2 + 9 = 7, so it is on the 7th floor.
8) 180 - 260 = -80, so she owes 80 rupees.
9) 2,400 - (-350) = 2,750 m.
10) 7 - (-6) = 13, so it rose by 13 degrees.

While your child works

Draw the number line every single time for the first fortnight, even for questions your child gets right. The model has to become automatic before the rules can be trusted.
-18 being smaller than -3 is the single most common error. It is worth checking specifically before moving on.
In word problems, underline the direction word first. That one habit fixes most of the sign errors.

Before you print it

What is on this worksheet

3 exercises, 34 questions, about 25 minutes. Every exercise has an answer key, printed on its own page so it can be kept back. 3 exercises start with a question already worked out, so you can check the method before helping.

Exercise	What the child does	Questions	Worked example
1	Written answers	12	Yes
2	Written answers	12	Yes
3	Written answers	10	Yes

More Class 6 Maths worksheets

Each one is a complete sheet with its own answer key, free to print.

Questions parents ask

About this worksheet

Does this worksheet include an answer key?

Yes. Every answer is on this page under the exercise, with the working shown, and the printable version puts the answers on a separate final sheet.

Why does my child get integer questions right but cannot explain them?

Because they have memorised a rule for signs rather than built a model. That holds until Class 7, when multiplication and division of negatives arrive and the rule silently stops working. Go back to the number line now rather than later.

Does this Class 6 Maths worksheet come with answers?

Yes. Every exercise has a full answer key, and it prints on its own page at the end rather than beside the questions - so you can hand your child the sheet and keep the answers back. Some exercises also show one question already worked out, with the method rather than just the result, which is the part most answer keys leave out.

Is there a free printable PDF?

Yes, and there is no sign-up, no email and no account. The download button at the top of the sheet gives you the whole thing - all 34 questions across 3 exercises, plus the answer key - laid out to print on A4.

How long does this worksheet take?

About 25 minutes for 34 questions, though that is a guide rather than a target. It is designed to be split: the exercises are ordered so stopping halfway still leaves a complete piece of work, which matters more than finishing at this age.

Can I use it if my child is in a different class?

Often, yes - these topics are taught across several years and schools vary in when they arrive. Judge by the questions rather than the class on the label. If the first exercise is a struggle the level below is the better start, and the same topic at other levels is linked further up this page.

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