Download Tamil Nadu 7th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.

Questions:

Generic 3

10 x 3 = 30

The floor of a building consists of 2000 tiles which are rhombus shaped and each of its diagonals are 40 cm and 25 cm. Find the total cost of polishing the floor, if the cost per m² = Rs.5.

Find the altitude ofthe rhombus whose area is 315 cm² and its perimeter is 180 cm.

Roman civilization began in 509 Be and ended in 476 AD. How long did Romans civilization last.

Can two lines intersect in more than one point?

How much 2x³- 2x²+ 3x + 5 is greater than 2x³+ 7x ²- 2x + 7?

Madhan has to go to Karur from Coimbatore for an official visit. On his onward journey, he goes via Vellakoil to reach Karur. While returning to Coimbatore he travels via Erode. Both the routes travelled by him are given in the Fig Find the shortest route?

A fruit seller sold 5kg of mangoes at a profit of Rs. 15 per kg and 3kg of apples at a loss of Rs. 30 per kg. Find whether it is a profit or loss.

Two angles are in the ratio 3:2. If they are linear pair, find them.

Find the height 'h' of the parallelogram whose area and base are 368 sq. cm and 23 cm respectively

10.

Sita saved Rs. 225.00 and she has spent Rs. 400 on credit basis for the purchase of stationery. Find her due amount.

Generic 2

11 x 2 = 22

11.

Two adjacent sides of a parallelogram are 5 cm and 7 cm respectively. Find its perimeter.

12.

An elevator is on the twentieth floor, It goes down 11floors and then up 5 floors, What floor is the elevator on now?

13.

Can two obtuse angles form a linear pair?

14.

The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm?

15.

Group the like terms together from the following : 6x, 6, -5x, - 5, l,x, 6y,y, 7y, 16x, 3

16.

Find the product of (-30) x (-70) x 15

17.

The product of two integers is −135. If one number is −15, Find the other integer.

18.

A student was asked to subtract (–12) from (–47). He got −30.Is he correct? Justify.

19.

What is the balance in Chezhiyan’s account as a result of a purchase for Rs. 1079, if he had an opening balance of Rs. 5000 in his account?

20.

Find the area of a rhombus whose base is 14 cm and height is 9 cm.

21.

In a quiz competition, Team A scored +30,–20, 0 and team B scored –20, 0, +30 in three successive rounds. Which team will win? Can we say that we can add integers in any order?

True or False

5 x 1 = 5

22.

(-100) x 0 x 20 = 0

(a)

True

(b)

False

23.

The expressions 8x + 3y and 7x + 2y can not be added.

(a)

True

(b)

False

24.

If 12 men can dig a pond in 8 days, then 18 men can digit in 6 days.

(a)

True

(b)

False

25.

Distance travelled by a bus and time taken are in direct proportion.

(a)

True

(b)

False

26.

The co-efficient of ab in the term 15 abc is 15.

(a)

True

(b)

False

Multiple Choice Question

5 x 1 = 5

27.

The solution of 3x + 5 = x + 9 is

(a)

(b)

(c)

(d)

28.

Vertically opposite angles are

(a)

not equal in measure

(b)

complementary

(c)

supplementary

(d)

equal in measure

29.

An aircraft can accommodate 280 people in 2 trips. It can take ______trips to take 1400 people.

(a)

(b)

(c)

(d)

30.

The height of the rhombus whose area 96 sq. m and side 24 m is

(a)

8 m

(b)

10 m

(c)

2 m

(d)

4 m

31.

The temperature at 12 noon at a certain place was 18° above zero. If it decreases at the rate of 3° per hour at what time it would be 12° below zero?

(a)

12 mid night

(b)

12 noon

(c)

10 am

(d)

10 pm

Fill in the blanks

5 x 1 = 5

32.

Draw a tetromino which passes symmetry __________

33.

_____\(\times \) (-9) = -45

34.

An expression equated to another expression is called __________

35.

The subtraction of 5m from −3m is __________

36.

If the weight of one fruit box is 3\(\frac { 1 }{ 2 } \)kg, then the weight of 6 such boxes is _________.

Generic 5

5 x 5 = 25

37.

In the following figure, show that CDIIEF

38.

Sumathi sweeps 600 m long road in \(2\cfrac { 1 }{ 2 } \) hrs. Ramani sweeps \(\cfrac { 2 }{ 3 } \)rd of same road in \(1\cfrac { 1 }{ 2 } \) I!hrs. Who sweeps more speedily?

39.

Length of one side of an equilateral triangle is 3x - 4 units. Find the perimeter

40.

(i) Which angles are corresponding angles to b°?
(ii) What is the measure of b°?
(iii) Which angles have the measure 68°?
(iv) Which angles have the measure 112°?

41.

Find the value of :
(i) (-11) - (-33)
(ii) (-90)-(-50)

Match the following

5 x 1 = 5

42.

1 x (-1098) = (–1098) = (–1098) x 1

43.

0 + (−138) = (−138) = (−138)+0

44.

For any two integers 72 and 108, 72 +108 is an also an integer

45.

46.

Visit QB365-SLMS - https://www.qb365.in/slms/

Answers Key:

Generic 3

10 x 3 = 30

Area of each tile = \(\frac { 1 }{ 2 } \) x d₁ X d₂sq. units

∴ Area of 2000 tiles = 500 x 2000 = 10,00,000 cm² = 100 m²
Cost of polishing 1 m² = Rs. 5
∴ Cost of polishing 100 m² = 5 x 100 = Rs. 500

Given perimeter of the rhombus = 180 cm
∴ One side of the rhombus = \(\frac { 180 }{ 4 } \) = 45 cm
Given area of the rhombus = 315 cm²
b x h = 315
45 x h = 315
= \(\frac { 315 }{ 45 } \)
h = 7cm
Altitude of the rhombus = 7 cm

From the start of common era no. of years upto 476 AD = 476
From 509 Be to start of common era years = 509
Total years Roman civilization last = 476 + 509 = 985 years.

No, two lines cannot intersect in more than one point.

The required expression can be obtained as follows
= 2x³- 2x²+ 3x - 5 - (2x³+ 7x²x +7)
= 2x³- 2x²+ 3x + 5 + (-2x³- 7x²+ 2x - 7)
= 2x³- 2x²+ 3x + 5 - 2x³- 7x²+ 2x - 7
= (2 - 2)x³+ (-2 - 7)x²+ (3 + 2)x + (5 - 7)
= 0x³+ (- 9x²) + 5x - 2
= - 9x²+ 5x - 2
\(\therefore\) 2x³- 2x²+ 3x + 5 is greater than 2x ³+ 7x²- 2x + 7 by -9x²+ 5x - 2

Distance travelled by Madhan from Coimbatore to Karur via Vellakoil = 131 km
Distance travelled by Madhan from Karur to Coimbatore via Erode = 66 + 101 = 167 km
Therefore, the route via Vellakoil is the shortest route.

Profit of 1 kg mangoes = Rs. 15
Profit of 5 kg mangoes = Rs. 15 x 5
= Rs. 75
Loss of 1 kg apples = Rs. 30
Loss of 3 kg apples = 30 x 3
= Rs. 90
Loss = Rs. 90 − Rs. 75
= Rs. 15

Let the angles be 3x and 2x
Since they are linear pair of angles, their sum is 180°.
Therefore,

x = 36°
The angles are 3x = 3 x 36 = 108°
2x = 2 x 36 = 72°

Given: Area = 368 sq. cm , base b = 23 cm
Area of the parallelogram = 368 sq. cm
b × h = 368
23 × h = 368
\(h=\cfrac { 368 }{ 23 } \)
Thus, the height of the parallelogram = 16 cm.

10.

The amount Sita has Rs. 225
The amount spent for stationery on credit = Rs. 400
The due amount to be paid = Rs. 225 – Rs. 400 = – Rs.175
Therefore, Sita has to pay Rs. 175

Generic 2

11 x 2 = 22

11.

Perimeter = AB + BC + CD + AD
∴ [AB = DC & AD = BC]
= 7 cm + 5 cm + 7 cm + 5 cm = 24 cm

12.

Present location of the elevator = 20th floor
If it goes down 11 floor \(\Rightarrow\) (- 11)
= 20 + (-11) = 9th floor
If it goes up 5 floor = 9 + 5
= 14th floor

13.

No, the sum of the measures of two obtuse angles is more than 180°.

14.

To produce 2.9 cm extension weight needed = 150 gm
To produce 1 cm extension weight needed = \(\cfrac { 150 }{ 2.9 } gm\)
\(\therefore\) To produce 17.4 cm extension weight needed = \(\cfrac { 150\times 17.4 }{ 2.9 } gm\)
\(\therefore\) Weight of 900 gm will produce an extension of 17.4 cm

15.

We have 6x, -5x, x, 16x are like terms
6y, y, 7y, are like terms
6, - 5, 1,3 are like terms

16.

= 31500

17.

Let a, b be two integers.
The product of two integers = -135
a x b = -135
One number,a = -15
b = ?
Other number \(=\frac{135}{-15}=9\)
∴ The other number = 9

18.

-47 -(-12) = -47 + 12 = -35
A student got -35.
No, he is not correct

19.

Opening balance = Rs. 5000
Debit amount = Rs. 1079 (−)
Balance amount
= Rs. 3921

20.

Given base b = 14 cm ; Height h = 9 em
Area of the rhombus = b x h sq. units
= 14 x 9
Area of rhombus = 126 sq.cm

21.

(i) Both Team A and B scored 10 marks. Quiz is draw.
(ii) Yes, we can add integers in any orders since addition is commutative

True or False

5 x 1 = 5

22.

(a)
True

23.

(b)
False

24.

(b)
False

25.

(a)
True

26.

(b)
False

Multiple Choice Question

5 x 1 = 5

27.

(a)
2

28.

(d)
equal in measure

29.

(b)
10

30.

(d)
4 m

31.

(d)
10 pm

Fill in the blanks

5 x 1 = 5

32.

()

33.

()
5

34.

()
equation

35.

()
-8m

36.

()
21kg.

Generic 5

5 x 5 = 25

37.

∠BAD = ∠BAE + ∠EAD
= 40° + 30° = 70°.
and LCDA = 70°
∠BAD = ∠CDA
But they form a pair of alternate angles
⇒ AB || CD
Also ∠BAE + ∠AEF = 40° + 140° = 180° -------(1)
But they form a pair of interior opposite angles.
⇒ AB II EF
From (1) and (2), we get ---(2)
AB || CD || EF
⇒ CD II EF

38.

Length of the road = 600m
\(\cfrac { 2 }{ 3 } \) rd of the road = \(\cfrac { 2 }{ 3 } \times 600m=400m\)
In \(2\cfrac { 1 }{ 2 } \) hrs sumathi sweeps 600m
\(\therefore\) In 1 hr sumathi Sweeps \(\cfrac { 600 }{ 2\frac { 1 }{ 2 } } m=\cfrac { 600 }{ \frac { 5 }{ 2 } } m=120\times 2=240m\)
In \(1\frac { 1 }{ 2 } \) hrs Ramani sweeps 400 m.
\(\therefore\) In 1hr Ramani sweeps \(\cfrac { 400 }{ 1\frac { 1 }{ 2 } } m=\cfrac { 400 }{ 3 } m=400\times \cfrac { 2 }{ 3 } m=\cfrac { 800 }{ 3 } =266.66m\)
\(\therefore\) Ramanl sweeps more. in 1 hr
\(\therefore\) Ramani sweeps speedily.

39.

Equilateral triangle has three sides equal.
Perimeter = Sum of three sides
= (3x - 4) + (3x - 4) + (3x - 4) = 3x - 4 + 3x -4 + 3x - 4
=(3 + 3 + 3)x + [(-4) + (-4) + (-4)] = 9x + (-12) = 9x - 12
\(\therefore\) Perimeter = 9x - 12 units

40.

(i) The corresponding angles to b° are d° and 68°.
(ii) The measure of b° is 68° (Because b° corresponds to 68°)
(iii) The angles having measure 68° are b°, d°, g°, i° and k°.
(iv) The angles having measure 112° are a°, c°, e°, f°, h° and j°.

41.

(i) (-11) - (-33)
= (-11) + (+33)
= 22
(ii) (-90)-(-50)
= -90 - (-50)
= -90 + 50
= -40

Match the following

5 x 1 = 5

42.