Math Modal question paper - ct 4 (class 4)

 Class IV – CT 4 Model Question Paper

 SECTION A – OBJECTIVE QUESTIONS

(10 × 1 = 10)

I. Fill in the blanks (4 × 1 = 4)

1. 0.6 is equal to ______ tenths.

2. 1 m = ______ cm.

3. 7:45 pm in 24-hour clock is written as ______.

4. A rectangle is 15 m long and 4 m wide.Its area is ______ sq m.

II. Choose the correct answer (3 × 1 = 3)

5. 3/5 of 25 is:
   a) 10
   b) 12
   c) 15
   d) 20

6. Which of the following is the smallest?
   a) 0.9
   b) 0.09
   c) 0.19
   d) 0.5

7. 2.5 kg is equal to:
   a) 2050 g
   b) 250 g
   c) 2500 g
   d) 25 g

III. True or False (3 × 1 = 3)

8. 1 litre = 100 ml. ______

9. 0.25 means 25 hundredths. _______

10. If a movie starts at 3:00 PM and ends at 5:00 PM, it lasted 3 hours. ______

SECTION B- Answer the following. Show the working:

(9 × 2 = 18)

1. Convert:
   4 ½ kg to g.

2. A square field has area 64 sq m. What is the length of one side?

1. The duration of a movie is 2 hrs 45 mins.
   If the movie starts at 5:35 pm, at what time will it end?

2. A farmer planted 150 trees. 2/3  are neem trees. How many are not neem trees?

1. The circle chart shows different games liked by students.
   The circle represents 80 students.

   
   
   
   
   

   (a) How many students like tennis?
   (b) How many more students like cricket than football?
   (c) Write one benefit of playing games.

2. Convert:
   a) 3 kg 250 g to grams
   b) 4750 ml to litres

3. If 1 kg apples cost ₹120, find the cost of:
   a) 500 g
   b) 3 kg

4. What will be the time 5 hrs 30 mins after 9:45 am?
   Write the answer in both 12- hour and 24- hour clock.

5. The following pictograph shows number of students attending hobby classes:

   Dance – 😀 😀 😀 😀 😀 😀
   Music – 😀 😀 😀 😀 😀 😀 😀
   Drawing – 😀 😀 😀 😀 😀 😀 😀 😀
   Craft – 😀 😀 😀 😀
   Yoga – 😀 😀 😀 😀 😀

   (Each 😀 represents 3 students)

   a) Which class has the most students?
   b) How many students attend dance class?
   c) How many more students attend drawing than craft?
   d) Which class has half the strength of drawing?

Answer the following:

(4 × 3 = 12)

10. A rectangle has length 18 cm and breadth 12 cm.A square has side 12 cm.Which shape has more area? How much more?

10. ½ kg onion costs ₹24 and 2 kg tomato costs ₹80.
    How much should you pay in all if you buy 1½ kg onion and 1 kg tomato?

11. Neha studied from 4:35 PM to 5:20 PM.She again studied from 6:00 PM to 6:45 PM. For how long did she study in total?

12. The bar graph shows the number of ice cream bars sold in a week:

a) Which flavour was sold the most?
b) How many more mango bars were sold than vanilla?
c) How many bars were sold in total?

                                                         *************************

Class 7

 

sample modal question paper - math -ct 4 (class 3)

  MODEL QUESTION PAPER - CT 4

STD III – MATHEMATICS

Cycle Test
Time: 1 hr 30 min
Maximum Marks: 80

PART A – OBJECTIVE (10 Marks)

I. Tick the correct option: (10 × 1 = 10)

1. How many tens are there in 2000?
   a) 20 b) 200 c) 2000

2. 3 kg 500 g =
   a) 350 g
   b) 3500 g
   c) 3050 g

3. 750 ml + 250 ml =
   a) 1 litre
   b) 100 ml
   c) 2 litres

4. 8 × 125 =
   a) 900
   b) 1000
   c) 875

5. The fraction equal to 1/2 is
   a) 2/4
   b) 3/4
   c) 1/4

6. 1 km =
   a) 100 m
   b) 1000 m
   c) 10 m

7. 6:45 is
   a) Half past 6
   b) Quarter past 6
   c) Quarter to 6

8. Rs 5.00 has how many 50 paise coins?
   a) 5
   b) 10
   c) 50

9. The shape with 4 equal sides is
   a) rectangle
   b) square
   c) triangle

10. 900 ÷ 9 =
    a) 10
    b) 90
    c) 100

PART B – MAIN PAPER

II. Look at the figure (Lines Concept) (4 × ½ = 2)

a) AB is a ______.
b) It extends in ______ directions.
c) It has ______ end points.
d) It is written as ______.

III. Fill in the blanks (8 × ½ = 4)

1. 6489 rounded to nearest 100 = ______

2. 1 decade  = ______ years

3. 8 thousands − 3 tens = ______

4. 1 hour = ______ minutes

5. 4 hours 15 minutes = ______ minutes

6. The predecessor of 10000 is ______

7. 6/12 in simplest form = ______

8. If today is Saturday, 3 days later it will be ______

IV. Solve:  (10 Marks)

a) 8456 − 3978
b) 526 × 8
c) 960 ÷ 6
d) 10 kg − 4 kg 950 g
e) 12 l − 6 l 875 ml

V. Conversion (Show Working) (8 Marks)

a) Convert 16 hours 20 minutes into minutes.

b) Change 18 km 450 m into metres.

c) Convert 7 kg 350 g into grams.

d) Express 125 m in cm.

VI. True or False (5 × 1 = 5)

1. 430 has 3 tens.

2. Dividing a number by itself gives 1.

3. 7/7 is equal to 1.

4. A rectangle has 4 right angles.

5. 500 g = half kg.

VII. Put the correct sign (4 × ½ = 2)

(>, <, =, +, −, ×, ÷)

1. 720 ___ 9 = 80

2. 7 kg ___ 6900 g

3. ₹400 ___ 40000 paise

4. 8999 ___ 9000

VIII. Write any 3 addition facts to get the sum 125 (3 × 1= 3)

a) ___ + ___ = 125
b) ___ + ___ = 125
c) ___ + ___ = 125

IX. Solve: (7 Marks)

a) Mary sang for 1 hour and 30 minutes. How many minutes did she sing?

b) She started at 5:00 p.m. When did the programme end?

c) Draw the clock and the hands of the clock for 9:15.

d)  Write two equivalent fractions for 3/5.

e) Find: 1/4 + 2/4

f) Define an angle with a diagram.

g) Draw a line segment PQ of length 6 cm.

X. Statement Sums (3 × 3 = 9)

1. A factory produced 3575 biscuits. 1450 biscuits were packed.
   How many biscuits are left unpacked?

2. A train travelled 235 km in the morning and 468 km in the evening.
   Find the total distance travelled.

3. A water tank holds 95 litres of water. 37 litres were used.
   How much water remains?

XI. Calendar Question (8 Marks)

Look at the calendar below:

MARCH 2026

SUN	MON	TUE	WED	THU	FRI	SAT
1	2	3	4	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28
29	30	31

a) How many Sundays are there?
b) On which day does the 17th fall?
c) How many Saturdays are there?
d) If school is closed on Saturdays and Sundays, how many working days are there?

XII. Money Billing & Word Problems (18 Marks)

1. Arun went to a toy shop and bought:

2 cars, 3 helicopters, 1 aeroplane, 3 teddy bears, 1 sunglass

a) Find the total amount he spent. (4)

b) He gave Rs 1000. How much money did he get back? (3)

2. Naveen delivers 145 newspapers every day. How many newspapers does he deliver in 30 days? (3)

3. A train travelled 210 km 70 m by bus and 95 km 80 m by train. Find the total distance travelled. (4)

4. A milkman had 25 litres of milk. He sold 12 l 750 ml. How much milk is left? (4)

                                                  ***********************

Sample- class 2

 

Sample modal question paper - CT 4 (class 4)

CT4 MODEL QUESTION PAPER

STD: IV – SCIENCE

Lessons: Air & Water

Time: 1 Hour
Total Marks: 35

 SECTION A – OBJECTIVE (10 Marks)

I. Tick the correct answer. (4 × ½ = 2)

1. Which gas supports burning?
   a) Nitrogen
   b) Oxygen
   c) Carbon dioxide
   d) Steam

2. The process of settling down of mud in water is called:
   a) Filtration
   b) Sedimentation
   c) Evaporation
   d) Boiling

3. Which of these causes air pollution?
   a) Planting trees
   b) Factory smoke
   c) Clean surroundings
   d) Rain

4. Water vapour changes into water by:
   a) Boiling
   b) Freezing
   c) Condensation
   d) Melting

II. Fill in the blanks. (4 × 1 = 4)

1. 1. The layer of air around the Earth is called ____________.

   2. The amount of water vapour in air is called ____________.

   3. The substance that dissolves in a liquid is called ____________.

   4. Adding chlorine to water kills ____________.

III. True or False (2 × 1 = 2)

4. Water vapour is the gaseous form of water.

5. Oil dissolves in water.

III. Analogy (2 × 1 = 2)

6. Ice : Solid :: Water : __________

7. Oxygen : Breathing :: Carbon dioxide : __________

 SECTION B – MAIN (25 Marks)

I. Write the scientific term. (5 × 1 = 5)

1. The layer of air around the Earth.

2. Change of water into vapour.

3. Waste water from homes.

4. Passing water through a cloth to remove impurities.

5. The amount of water vapour in air.

II. Give reasons. (3 × 2 = 6)

1. We should drink boiled water.

2. A matchstick burns only in the presence of air.

3. Cotton becomes heavier after falling into water.

III. Find the term using the clues. (2 × 2 = 4)

1. I am formed when smoke mixes with fog. Who am I?

2. I am the process in which clear water is carefully poured out after mud settles. Who am I?

IV. Picture-Based Questions (3 × 1= 3)

1. Observe the picture and answer:

a) Name the process shown.
b) What will happen if the clear water is poured carefully into another container?

2. 

a) Why does the flame go out?
b) Which gas is required for burning?

3. 

a) What is this type of pollution called?
b) Mention one way to reduce this pollution.

V. Answer briefly. (1 × 4 = 4)

1. Explain the three forms of water with examples.

VI. Reading Comprehension (3 × 1 = 3)

Read the passage carefully and answer the questions:

Water is very important for all living things. We use water for drinking, cooking, washing and cleaning. But water in rivers and lakes may contain germs. Boiling water kills germs. Chlorine is also added to water in water works to make it safe for drinking. We must avoid throwing waste into rivers because it pollutes water.

8. Name one method to kill germs in water.

9. Why should we not throw waste into rivers?

10. Where is chlorine added to water?

                          *************

Sample question paper - CT4 (class 3)

CT – 4 Model Question Paper 

Time: 2 Hours
Maximum Marks: 50

Section A – Nouns & Usage (8 Marks)

I. In each sentence:

 Circle the Common Noun. Underline the Proper Noun             (4 × 1 = 4 Marks)

1. During our trip to Kerala, my brother visited the famous Guruvayur Temple.

2. The students of Sunshine Public School performed at Nehru Stadium.

3. My aunt from Delhi bought sweets from Haldiram’s.

4. The author Ruskin Bond lives in Mussoorie.

II. Fill in with much / many / little / few / some / any      (8 × ½ = 4 Marks)

1. There are very ______ stars visible tonight.

2. She has ______ patience to deal with this.

3. We need ______ sugar for the recipe.

4. Are there ______ seats left in the bus?

5. There is ______ water left in the bottle.

6. Only ______ students completed the task.

7. I did not buy ______ apples.

8. How ______ money do you need?

Section B                                          (10 Marks)

III. Choose the correct word and rewrite                          (6 × ½ = 3 Marks)

1. Neither Riya nor her friends ___________(is/are) ready.

2. The pair of shoes ____________(was/were) expensive.

3. One of the boys______________ (has/have) lost his cap.

4. This is_____________ (your/you’re) notebook.

5. The dog wagged _____________(its/it’s) tail happily.

6. Each of the players _____________(run/runs) fast.

IV. Fill in with suitable prepositions

(across / between / beside / during / into / above)                                       (6 × ½ = 3 Marks)

1. The cat jumped ______ the wall.

2. She sat ______ her best friend.

3. The river flows ______ the two villages.

4. He slipped ______ the water.

5. The plane flew ______ the clouds.

6. We met ______ the holidays.

V. Rewrite using correct degree                                             (4 × 1 = 4 Marks)

1. This puzzle is ___________(difficult) than the last one.

2. Of all the mountains, Everest is the ___________(high).

3. A cheetah is ___________(fast) than a dog.

4. This is the ______________(beautiful) painting in the gallery.

Section C                                          (10 Marks)

VI. Fill in correct verb form                                                  (8 × ½ = 4 Marks)

1. She ______ (read) a story every night.

2. The boys ______ (play) football now.

3. We ______ (travel) to Goa last year.

4. The baby ______ (sleep) peacefully now.

5. My father ______ (drive) to work daily.

6. The children ______ (build) a sandcastle yesterday.

7. I ______ (write) a letter at the moment.

8. The birds ______ (fly) away suddenly.

VII. Change as directed                                                          (6 × 1 = 6 Marks)

1. They are painting the wall. (Change to past continuous)_________________________________________________________________________.

2. She went to the market. (Change to present tense)__________________________________________________________________.

3. He does his homework. (Make negative)__________________________________________.

4. The baby was crying. (Make interrogative)________________________________________.

5. We are excited. (Make negative)_________________________________________.

6. I was tired yesterday. (Change to simple present)___________________________________.

Section D                                          (8 Marks)

VIII. Join using suitable conjunction

(although / because / so / but / and / if)                                                         (4 × 1 = 4 Marks)

1. He was tired. He finished his work. _________________________________________________________________________.

2. It was raining. We stayed indoors. _________________________________________________________________________.

3. You hurry. You will miss the bus. _________________________________________________________________________.

4. She bought pencils. She bought erasers. _________________________________________________________________________.

IX. Rewrite using possession                                                 (4 × 1 = 4 Marks)

1. The feathers of the peacock are colourful. _________________________________________________________________________.

2. The toys of the children are scattered. _________________________________________________________________________.

3. The roof of the house is damaged. _________________________________________________________________________.

4. The laptop of my father is new. _________________________________________________________________________.

Section E                                          (6 Marks)

X. Punctuate correctly                                                          (4 × 1 = 4 Marks)

1. why are you shouting asked the teacher _________________________________________________________________________.

2. wow this cake tastes delicious _________________________________________________________________________.

3. my sister lives in mumbai _________________________________________________________________________.

4. did you see the rainbow yesterday _________________________________________________________________________.

XI. Identify the adverb                                                           (2 × 1 = 2 Marks)

1. He answered politely.

2. She ran quickly to the gate.

Section F                                           (6 Marks)

XII. Arrange in correct order (1–6)

Planting a Tree

1. Water the plant regularly.

2. Dig a small hole in the soil.

3. Place the sapling in the hole.

4. Cover it with soil.

5. Choose a healthy sapling.

6. Press the soil gently around it.

XIII. Rearrange the words                                                      (2 × 1 = 2 Marks)

1. shining / brightly / the / sun / is _________________________________________________________________________.

2. library / the / reading / quietly / are / students / in / the _________________________________________________________________________.

Section G – Dialogue Based Reading Comprehension (8 Marks)

XIV. Read the dialogue carefully:

Mother: Why are you packing your bag so early, Aanya?
Aanya: We are going on a school picnic tomorrow.
Mother: Where are you going?
Aanya: We are visiting the Science Museum.
Mother: Have you kept your water bottle?
Aanya: Yes, I have kept it inside the bag.
Mother: Don’t forget your cap.
Aanya: I won’t forget, Mom.

Answer the following:

1. Why is Aanya packing early?_________________________________________________________________________.

2. Where are they going?_________________________________________________________________________.

3. What did her mother remind her to keep?_________________________________________________________________________.

4. Write one helping verb from the passage. _________________________________________________________________________.

5. Find one proper noun. _________________________________________________________________________.

6. Write the short form of “I will not”. _________________________________________________________________________.

7. Is the picnic happening today or tomorrow?_________________________________________________________________________.

8. Write one sentence about a picnic. _________________________________________________________________________.

Section H – Paragraph Writing (4 Marks)

XV. Write a paragraph using the hints (6–8 sentences)

Hints:
heavy rain – dark clouds – thunder – umbrella – wet roads – school closed – playing indoors – happy surprise

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

                                                      *****************************

Modal question paper - class 5- ct4

MODEL QUESTION PAPER 

SECTION A – OBJECTIVE QUESTIONS

1. Fill in the blanks                                                                                    (5 × 1 = 5)

1. India became a Republic on ____________.

2. The law-making body of India is called the ____________.

3. Wind energy is used to produce ____________.

4. The first steel plant in India was set up at ____________.

5. Industries need ____________ to purchase machinery and raw materials.

2. Choose the correct answer                                                                 (5 × 1 = 5)

6. The head of the Indian government is the:
   a) Governor
   b) Prime Minister
   c) Chief Justice
   d) Speaker

7. Which of the following is a renewable resource?
   a) Coal
   b) Petroleum
   c) Water
   d) Natural gas

8. Which industry makes ships?
   a) Aviation
   b) Shipping
   c) Textile
   d) Cement

9. Which of the following is a Fundamental Duty?
   a) Right to Equality
   b) Right to Freedom
   c) Respect the National Flag
   d) Right to Education

10. Jute mills are mostly located in:
    a) Rajasthan
    b) Punjab
    c) West Bengal
    d) Kerala

SECTION B

Complete the analogy                                                                            (2 × 1 = 2)

11. President : Head of the country :: Chief Justice : ____________

12. Coal : Non-renewable :: Sunlight : ____________

FIND THE WORD (Using the Given Clue)                                         (2 × 1 = 2)

13. I am the natural fibre obtained from the jute plant. ____________

14. I am the document that contains the rules and laws of India. ____________

EXPLAIN THE TERMS                                                                           (2 × 1 = 2)

15. Legislature

16. Large-scale industry

SECTION C – ANSWER THE FOLLOWING          (5 × 2 = 10)

17. What is meant by justice in the Constitution?

18. What are man-made resources? Give two examples.

19. Name two cities where car manufacturing units are located.

20. Why are raw materials important for industries?

21. What is medical tourism?

SECTION D – LONG ANSWER QUESTIONS          (2 × 3 = 6)

22. Explain the three organs of the Government and their functions.

OR

23. Describe the types of industries in India with examples.

24. What are the main requirements for setting up an industry?

SECTION E – PICTURE BASED QUESTIONS        (1 × 3 = 3)

a) Identify the industry shown in the picture.

b) What process is taking place in the factory scene shown?

c) Name two safety measures that workers in this industry should follow.

                                                   *******************************

Sample- ukg-math

 

Answer key - pt 3 class 7 math

 

Sample- UKG English

 

General English worksheet -class 2

   GENERAL ENGLISH WORKSHEET

 SECTION A – Multiple Choice Questions (MCQs)

(8 × 1 = 8 marks)

1. Which part of a plant carries water and minerals to other parts of a plant?
   a) Root
   b) Stem
   c) Leaf
   d) Flower

2. Which animal lives both on land and in water?
   a) Cow
   b) Frog
   c) Tiger
   d) Goat

3. Which tree has no branches?
   a) Mango
   b) Coconut
   c) Neem
   d) Banyan

4. Which bird cannot fly?
   a) Sparrow
   b) Pigeon
   c) Ostrich
   d) Crow

5. Which helps to reduce air pollution?
   a) Cutting trees
   b) Planting trees
   c) Honking
   d) Burning waste

6. Which animal is not a pet animal?
   a) Fish
   b) Elephant
   c) Dog
   d) Hen

7. Which sign reduces "noise pollution"?
   a) Zebra crossing
   b) No horn
   c) No parking
   d) U-turn

8. Which is the fastest means of transport?
   a) Aeroplane
   b) Ship
   c) Bus
   d) Train

 SECTION B – Fill in the Blanks

(6 × 1 = 6 marks)

9. Roots hold the plant firmly in the __________.

10. We need this to make cheese __________.

11. Insects have __________ legs.

12. A vehicle that carries sick people is called an __________.

13. We should not __________ unnecessarily to reduce noise pollution.

14. We get __________ and  __________ from hens.

 SECTION C – True or False

(6 × 1 = 6 marks)

15. Spices add flavour to our food.

16. Steamers is a means of air transport.

17. Plants do not make the air fresh and clean.

18. Tractors are used for farming.

19. Metropolitan cities have super-fast metro trains.

20. Donkeys and Elephants plough the fields.

 SECTION D – Match the Following

(4 × 1 = 4 marks)

Column A	Column B
21. Belt	a) Wood
22. Yacht	b) Leaves
23. Spinach	c) Leather
24. Teak	d) Water

 SECTION E – Give Reasons

(4 × 2 = 8 marks)

25. We should plant more trees.

          ________________________________________________________________________

         ________________________________________________________________________

         ________________________________________________________________________

25. We should take care of animals.

         ________________________________________________________________________

         ________________________________________________________________________

         ________________________________________________________________________

25. We should follow traffic rules.

         ________________________________________________________________________

         ________________________________________________________________________

         ________________________________________________________________________

25. Roots are important for plants.

         ________________________________________________________________________

         ________________________________________________________________________

         ________________________________________________________________________

 SECTION F – Answer the Following

(3 × 2 = 6 marks)

29. What are the three things required for a plant to grow?

         ________________________________________________________________________

         ________________________________________________________________________

         ________________________________________________________________________

29. Write two ways to reduce pollution.

         ________________________________________________________________________

         ________________________________________________________________________

         ________________________________________________________________________

29. What is transport? Name three modes of transport?

         ________________________________________________________________________

         ________________________________________________________________________

         ________________________________________________________________________

 SECTION G – Give Examples

(2 × 1 = 2 marks)

32. Two leafy vegetables: __________, __________

33. Two eco- friendly vehicles: __________, __________

 SECTION H – Analogy

(2 × 1 = 2 marks)

34. Sugarcane: __________:: Coconut: Oil

35. Tram: Land:: Cruise: __________

 SECTION I – Drawing

(1 × 2 = 2 marks)

36. Draw a fish  and label its parts 

SECTION  J - Crossword puzzle

Across: 1. It is a part of the plant that lies below the soil.     Down: 4. A vehicle for transporting goods.

              2. You pedal this vehicle.                                                     5. Animal Can survive in the desert

              3. part of a plant making food.

              6.Slithers on the ground.

modal question paper - class 7- pt3

---

MODAL QUESTION PAPER - PT 3

SECTION A – OBJECTIVE TYPE

1. Multiple Choice Questions (4 × 1 = 4)

1. A number is multiplied by 2³ and then divided by 2⁵. The final result is the original number multiplied by
   a) 2²
   b) 2⁻²
   c) 2⁸
   d) 2⁻⁸

2. The sides of a right-angled triangle are consecutive integers. The perimeter of the triangle is 24 cm.
   The length of the hypotenuse is
   a) 9 cm
   b) 10 cm
   c) 11 cm
   d) 13 cm

3. A square and a rectangle have equal areas. The rectangle has length 12 cm and breadth 3 cm.
   The perimeter of the square is
   a) 24 cm
   b) 36 cm
   c) 48 cm
   d) 30 cm

4. If
   
   (3²) ̽ = 3¹⁰   then the value of (x) is
   a) 2
   b) 4
   c) 5
   d) 10

2. Fill in the Blanks (2 × 1 = 2)

5. If a right-angled triangle has sides 6 cm and 8 cm, then the length of the hypotenuse is ________ cm.

6. The value of  2⁵ × 5⁵ / 10³  is __________.

3. True or False (2 × 1 = 2)

7. If the area of a square is numerically equal to the perimeter of a rectangle, then the dimensions of the rectangle are uniquely determined.
   (True / False)

8. If (a ͫ  ÷  a ⁿ = a ͫ  ⁻ ⁿ ) then the rule is valid for all integers (m) and (n), where (a is not equal to 0 ).
   (True / False)

4. Assertion – Reason (2 × 1 = 2)

9. Assertion (A): A triangle with sides 5 cm, 12 cm and 13 cm is right-angled.
   Reason (R): (13² = 5² + 12² )

a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true

10. Assertion (A): The perimeter of a square increases four times when its side is doubled.
    Reason (R): Perimeter of a square is directly proportional to its side.

a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true

SECTION B – SHORT ANSWER

11. The perimeter of a rectangle is 72 cm. If its length is double its breadth, find the area of the rectangle.

12. A square and a rectangle have equal perimeters. The rectangle has dimensions 18 cm × 12 cm.
    Find the area of the square.

13. Simplify:  

    
    
    

14. The diagonal of a square is 14√2 cm. Find the area of the square.

15. In a right-angled triangle, the hypotenuse is 26 cm and one side is 10 cm. Find the length of the other side.

16. a) Which is greater, 3 ¹² or 6 ⁶?

     b) If 4^x =128, then find the value of x.
17. A ladder 13 m long reaches the top of a wall. The foot of the ladder is 5 m away from the wall. Find the height of the wall. 

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SECTION C – LONG ANSWER

18. A rectangular playground is 28 m long and 21 m wide.
    A path of uniform width runs along the boundary of the playground.
    If the area of the path is 420 m², find the width of the path.

19. The length and breadth of a rectangle are in the ratio 5 : 3.
    If its perimeter is 64 cm, find
    a) its dimensions
    b) its area

20. A triangle has sides 9 cm, 40 cm and 41 cm.
    a) Verify whether the triangle is right-angled.
    b) Identify the hypotenuse.

21. Find n if 

    
    
    

22. Construct a triangle ABC such that
    AB = 6 cm, AC = 5 cm and ∠A = 90°.
    Name the congruence rule used and justify it.