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Questions:

Generic 2

17 x 2 = 34

The diagram shows a square ABCD. If the line segment joins A and C, then mention the type of triangles so formed.

I am a closed figure with each of my three angles is 60°. Who am I?

A man bought 400 metre of cloth for Rs. 60,000 and sold it at the rate of Rs. 400 per metre. Find his profit or loss.

A fruit seller bought a basket of fruits for Rs. 500. During the transit some fruits were damaged. So, he was able to sell the remaining fruits for Rs. 480. Find the profit or loss in his business.

Two pipes whose lengths are 7 m 25 cm and 8 m 13 cm joined by welding and then a small piece 60 cm is cut from the whole. What is the remaining length of the pipe?

The departure and arrival timing of the Vaigai Superfast Express (No. 12635) from Chennai Egmore to Madurai Junction are given. Read the details and answer the following.

Station	Arrival	Departure
Chennai Egmore	-	13:40
Tambaram	14:08	14:10
Chengalpattu	14:38	14:40
Villupuram	15:50	15:55
Virudhachalam	16:28	16:30
Ariyalur	17:04	17:05
Trichy	18:30	18:35
Dindigul	20:03	20:05
Sholavandan	20:34	20:35
Madurai	21:20	-

(i) At what time does the Vaigai Express start from Chennai and arrive at Madurai?
(ii) How many halts are there between Chennai and Madurai?
(iii) How long does the train halt at the Villupuram junction?
(iv) At what time does the train come to Sholavandan?
(v) Find the journey time from Chennai Egmore to Madurai?

Find the prime factorisation of each number by factor tree method and division method.
a) 60
b) 128
c) 144
d) 198
e) 420
f) 999

Find the numbers between 572634 and 562634 which is approximated to ten thousands place

What is the supplementary and complementary angles of 60°

10.

Complete the following pattern.
9 - 1 =
98 - 21 =
987 - 321 =
9876 - 4321 =
98765 - 54321 =
What comes next?

11.

Find the supplementary angle of 95º

12.

Find the complementary angle of 85º

13.

Find the type of lines marked in thick lines (Parallel, intersecting or perpendicular).

14.

Identify the types of angles shown by the hands of the given clock.
(i)

(ii)

(iii)

(iv)

(v)

15.

Give two equivalent ratios for each of the following 3 : 2

16.

Observe the commas and write down the place value of 7. 567,456,345

17.

How many line segments are there in the given line? Name them.

Generic 3

7 x 3 = 21

18.

Say the time in two ways:

19.

Convert into higher units :
(i) 13000 mm (km, m, cm)
(ii) 8257 ml (kl, l)

20.

Find the length of the longest rope that can be used to measure exactly the ropes of length 1m 20cm, 3m 60cm and 4m.

21.

The LCM of two numbers is 432 and their HCF is 36. If one of the numbers is 108, then find the other number.

22.

Try to open my locked suitcase which has the biggest 5 digit odd number as the password comprising the digits 7, 5, 4, 3 and 8. Find the password.

23.

Rs. 62500 was equally distributed as a New Year bonus for 25 employees of a company. How much did each receive?

24.

Write any eight digit number with 6 in ten lakhs place and 9 in ten thousandth place.

Generic 5

1 x 5 = 5

25.

Study the given figure and identify the following triangles.
(a) equilateral triangle
(b) isosceles triangles
(c) scalene triangles
(d) acute triangles
(e) obtuse triangles
(f) right triangles

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Answers Key:

Generic 2

17 x 2 = 34

All angles are right angles two triangles formed.
Both are Isoceles right angled triangle.

All angles are equal.
I am an equilateral triangle.

Given
A man bought the 400 m cloth
c.p = Rs. 60,000
He sold it at the rate of Rs. 400 / metre.
Therefore 1 m = Rs. 400
Therefore 400 mm = Rs. 400 \(\times\) 400 m
s.p = Rs. 1,60,000
Here, s.p > c.p
Therefore profit = s.p - c.p
= Rs. 1,60,000 - Rs. 60,000
Therefore profit = Rs. 1,00,000

C.P. = Rs. 500
S.P. = Rs. 480
Here, C.P. > S.P. \(\Rightarrow\) Loss = C.P. - S.P. = Rs. 500 - Rs. 480 = Rs. 20

	m	cm
First Pipe's length	7	25
Second Pipe's length	8	13
Totallength	15	38

Now a small piece 60 cm is cut from the whole.
Therefore remaining length of the pipe = 00 m 60 cm = 14 m 78 cm
Therefore remaining length = 14m 78cm.

(i) The Vaigai Express, Start from Chennai = 13.40 hours
Arrive at Madurai - 21.20 hours
(ii) 8 halts.
(iii) 5 minutes
(iv) 20 : 34 hours
(v) 21 : 20 = 13 : 40 - 7: 40
so, 7 hours 40 mins

a) 60
i) Division method:

Therefore 60 = \(2 \times 2 \times 3 \times 5\)
(ii) Factor Tree method:

b) 128
i) Division method:

Therefore 128 = \(2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\)
(ii) Factor Tree method:

Therefore 128 = \(2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\)
c) 144
i) Division method:

Therefore 144 = \(2\times 2 \times 2 \times 2 \times 3 \times 3\)
ii) Factor Tree method:

Therefore 144 = \(2 \times 2 \times 2 \times 2 \times 3 \times 3 .\)
d) 198
i) Division method:

Therefore 144 = \(2 \times 3 \times 3 \times 11\)
ii) Factor Tree method:

Therefore 144 = \(2 \times 3 \times 3 \times 11\)
e) 420
i) Division method:

Therefore 420 = \(2 \times 2 \times 3 \times 5 \times 7\)
ii) Factor Tree method.

Therefore 420 = \(2 \times 2 \times 3 \times 5 \times 7\)
f) 999
i) Division method:

Therefore 999 = \(3 \times 3 \times 3 \times 37\)
ii) Factor Tree method:

Therefore 999 = \(3 \times 3 \times 3 \times 37\)

562634 < 570000 < 572634

Supplementary angle is 120°
Complementary angle is 30°

10.

9 -1 = 8
98 - 21 = 77
987 - 321 = 666
9876 - 4321 = 5555
98765 - 54321 = 44444
Next will be
987654 - 654321 = 333333

11.

85˚

12.

Complementary angle of 85º = 90º - 85º = 5º

13.

Parallel and perpendicular lines

14.

(i) Obtuse angle
(ii) Zero angle
(iii) Straight angle
(iv) Acute angle
(v) Right angle

15.

3:2
\(\frac{3}{2}\times\frac{2}{2}=\frac{6}{4}=6:4\)
\(\frac{3}{2}\times\frac{3}{3}=\frac{9}{6}=9:6\)
6 : 4 and 9 : 6 are equivalent to 3 : 2

16.

567,456,345
Place value of 7 is 7 \(\times\) 1,000,000
= 7,000,000
= Seven Million.

17.

There are 10 \(\overline { PQ },\overline {PA},\overline {PB},\overline {PC},\overline {AB},\overline {BC},\overline {CQ},\overline {AQ},\overline {BQ},\overline {AC}\)

Generic 3

7 x 3 = 21

18.

i) 10:15 hours; quarter past 10
ii) 6:45 hours; quarter to 7
iii) 4:10 hours; 10 minutes past 4
iv) 3:30 hours; half past 3
v) 9:40 hours; 20 minutes to 10;

19.

10 mm = 1 cm
100 cm = 1 m
1000 cm = 1 km
Therefore 10 mm = 1cm
i) 13000 mm = 1 / 10 \(\times\) 13000 = 1300 cm
100 cm = 1 m
1300 cm = 1 / 100 \(\times\) 1300 = 13 m
1000 m = 1 km
13 m = 1 / 1000 \(\times\) 13
= 0.013 km
= 13000 mm
= (0.013 km, 13m, 1300 cm)
(ii) 8257 ml (kl, I)
= 1000 ml = 1l
1000 l= 1 kl
1000 ml = 11
8257 ml = 1 / 1000 \(\times\) 8257
= 8.257 I
1000 1= 1 kl
8.257 I = 1 / 1000 \(\times\) 8.257
= 0.008257 kl
8257 ml (0.008257 kl, 8.257 I)

20.

Given statement
The ropes of length 1 m 20 cm, 3 m 60 cm and 4 m.
1 m 20 cm = 120 cm, 3 m 60 cm = 360 cm and 4 m = 400 cm
To find the length of the longest rope.

HCF = \(5 \times 2 \times 2 \times 2\) = 40
Therefore the length of the longest rope = 40 cm.

21.

We know that, the product of the two numbers = LCM \(\times\) HCF
108 \(\times\) (the other number) = 432 \(\times\) 36
The other number = (432 \(\times\) 36) \(\div \) 108 = 144

22.

Using place value chart
The number should be the biggest odd

TTH	TH	H	T	O
8	7	5	4	3

The password is 87543.

23.

Total amount distributed = Rs. 62500
Number of employees received bonus = 25
\(\therefore\) Amount received by one employee = 62500 \(\div\) 25 = 2,500
Each employee received Rs. 2,500.

24.

Step (i): Preparing place value chart with 8 digits 6 in ten lakh place and 9 in Ten thousand place
Step (ii): Fill the other places with any of the numbers

C	TL	L	TTH	TH	H	T	O
5	\(\boxed{6} \)	8	\(\boxed{9} \)	7	4	3	2

\(\therefore\) The number may be 56897432. Similarly we can write many numbers

Generic 5

1 x 5 = 5

25.

(a) Equilateral Triangle :
ABC (AB = BC = CA = 4 cm)
(b) Isoceles Triangles :
ABC,AEF
(c) Scalene Triangles :
AEB, AED, ADF, AFC, ABD, ADC, ABF, AEC
(d) Acute Triangles :
ABC, AEF, ABF, AEC
(e) Obtuse Triangles :
AEB, AFC
(f) Right Triangles :
ADB, ADC, ADE, ADF