04. Expression Using Letter-Numbers Chapter very short Questions answer

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Q1: If Priya’s age is p = 25 years, find Rahul’s age using the expression r = p – 4. 

Ans: r = 21 years. 
Explanation: The expression r = p – 4 means Rahul’s age is 4 years less than Priya’s age. 
Substitute p = 25: r = 25 – 4 = 21 
Thus, Rahul is 21 years old.

Q2: How many matchsticks are needed to make 9 T’s, given the expression 3n, where n is the number of T’s? 

Ans: 27 matchsticks. 
Explanation: The expression 3n indicates each T requires 3 matchsticks. 
For n = 9 T’s: 3 x 9 = 27 
Therefore, 27 matchsticks are needed.

Q3: The cost of one mango is ₹40 and the cost of 1 kg of sugar is ₹50. Write and evaluate an expression to calculate the total cost for 6 mangoes and 4 kg of sugar.

Ans: ₹440 
Explanation: Cost of 6 mangoes = 6 × Cost of 1 mango = 6 × 40 = ₹240
Cost of 4 kg sugar = 4 × Cost of 1 kg sugar = 4 × 50 = ₹200
Total Cost = Cost of mangoes + Cost of sugar = 240 + 200 = ₹440

Q4: Find the perimeter of a square with side length s = 8 cm using the expression 4s. 

Ans: 32 cm 
Explanation: The perimeter of a square is given by 4s, where s is the side length. 
Substitute s = 8: 4 x 8 = 32 
The perimeter is 32 cm.

Q5: Evaluate the arithmetic expression 30 – 8 x 3. 

Ans: 6 
Explanation: Follow the order of operations (BODMAS/PEMDAS): 
multiplication before subtraction. 
Calculate 8 x 3 = 24, 
then: 30 – 24 = 6 
The value of the expression is 6.

Q6: Find the value of the expression 4k + 5 when k = 3. 

Ans: 17 
Explanation: Substitute k = 3 into the expression 4k + 5: 4 x 3 + 5 = 12 + 5 = 17 
The value is 17.

Q7: Simplify the expression 7p + 2p + 5p to find the total money earned from selling pens.

Ans: 14p 
Explanation: Combine like terms by adding the coefficients of p: 7p + 2p + 5p = (7 + 2 + 5)p = 14p 
The simplified expression for the total money earned is 14p.

Q8: Calculate Anjali’s score in the first round of a quiz if x = 5 and y = 2, using the expression 6x – 4y. 

Ans: 22
Explanation: Substitute x = 5 and y = 2 into the expression 
6x – 4y: 6 x 5 – 4 x 2 = 30 – 8 = 22 
Anjali’s score is 22.

Q9: Find the number of matchsticks needed for Step 20 in a matchstick pattern using the expression 3y + 2, where y is the step number. 

Ans: 62 matchsticks 
Explanation: Substitute y = 20 into the expression 
3y + 2: 3 x 20 + 2 = 60 + 2 = 62 
Thus, 62 matchsticks are needed for Step 20.

Q10: Determine the total amount paid for renting 4 chairs and 2 tables using the simplified expression 30c + 70t, where c represents number of chairs and t represents number of tables.

Ans: ₹260 
Explanation: The expression 30c + 70t gives the net cost for renting c chairs at ₹30 each and t tables at ₹70 each after returns. Substitute c = 4 and 
t = 2: 30 x 4 + 70 x 2 = 120 + 140 = 260 
The total amount paid is ₹260.

03. A Peek Beyond The Point Chapter very short Questions answer

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Q1. Estimate the sum of 25.936 and 8.202. Then calculate the exact sum. Is your estimation close?

Solution:
Estimate:
25.936 ≈ 26
8.202 ≈ 8
Estimated sum = 26 + 8 = 34

Actual sum = 25.936 + 8.202 = 34.138

Yes, estimation is close to actual.

Q2. Convert the following to decimals:

(a) 6 ones and 5 tenths
(b) 125 tenths

Solution:
(a) 6 + 5/10 = 6.5
(b) 125 ÷ 10 = 12.5

Q3. A chocolate bar weighs 0.85 kg. What is the total weight of 6 such bars?

Solution:

0.85 × 6 = 5.10 kg

Q4. Convert the following:

(a) 6.2 cm to mm
(b) 46 mm to meters

Solution:

(a) 6.2 × 10 = 62 mm
(b) 46 ÷ 1000 = 0.046 meters

Q5. Estimate the sum of 39.847 and 11.205 by rounding off the numbers. Then find the exact sum. Compare both.

Solution:

Estimate:

39.847 ≈ 40

11.205 ≈ 11

Estimated sum = 40 + 11 = 51

Exact sum = 39.847 + 11.205 = 51.052
Comparison: The estimate (51) is very close to the actual sum (51.052), showing estimation is useful for quick checks.

Q6. Express 328 grams in kilograms.

Solution:

328 ÷ 1000 = 0.328 kg

Q7. Rahul walked 2.9 km in the morning and 4.7 km in the evening. What was the total distance he walked? Express your answer as a decimal and a mixed fraction.

Solution:

2.9 + 4.7 = 7.6 km

7.6 = 7 + 6/10 =

Q8. A roll of cloth is 14.4 meters long. If it is divided equally among 6 tailors, how much does each get?

Solution:

14.4 ÷ 6 = 2.4 meters per tailor

Q9. Convert the mixed fraction  to decimal form.

Solution:

 = 4 + 0.3 = 4.3

Q10. Subtract 4.36 from 9.15.

Solution:

9.15 – 4.36 = 4.79

02. Arithmetic Expressions Chapter very short Questions answer

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Q1: Find the values of the following expressions by writing the terms in each case.

(a) 35 – 8 + 9

Ans: Terms: 35, -8, 9. 

Expression: 35 + (-8) + 9 = 
27 + 9 = 36.

(b) 50 – 3 × 7 + 13

Ans: Terms: 50, -3 × 7, 13. 
Expression: 50 + (-21) + 13 
= 50 – 21 + 13 = 42.

(c) 60 – 15 + 5 + 10

Ans: Terms: 60, -15, 5, 10. 
Expression: 60 + (-15) + 5 + 10 
= 45 + 5 + 10 = 60.

Q2: Use ‘>’ or ‘<’ or ‘=’ in each of the following expressions to compare them. Can you do it without complicated calculations? Explain your thinking in each case.

(a) 322 + 215 ____ 324 + 213

Ans: Left side: 322 + 215 = 537

Right side: 324 + 213 = 537

322 + 215 = 324 + 213 (They are equal)

(b) 571 + 432 ____ 570 + 434

Ans: Left side: 571 + 432 = 1003
Right side: 570 + 434 = 1004

571 + 432 < 570 + 434

(c) 418 – 234 ____ 414 – 238

Ans: Left side: 418 – 234 = 184

Right side: 414 – 238 = 176
418 – 234 > 414 – 238

Q3: Compare and answer if LHS = RHS .

(a) 4 × (5 + 8) = 4 × 5 + 4 × 8

​Ans: This is already correct.
4 × (5 + 8) = 4 × 13 = 52
4 × 5 + 4 × 8 = 20 + 32 = 52

(b) 6 × (3 + 7) = 6 × 3 + 6 × 7

Ans: This is already correct.
6 × (3 + 7) = 6 × 10 = 60
6 × 3 + 6 × 7 = 18 + 42 = 60

Q4: Fill in the blanks to make the expressions equal on both sides of the = sign:

(a) 15 + 6 = _____ + 8

Ans: 15 + 6 = 21, 
so 13 + 8 = 21.
The blank is 13.

(b) 30 + _____ = 5 × 8

Ans: 5 × 8 = 40, 
so 30 + 10 = 40. 
The blank is 10.

(c) 9 × _____ = 72 ÷ 3

Ans: 
72 ÷ 3 = 24, 
so 9 × 4 = 24. 
The blank is 4.

(d) 50 – _____ = 40

Ans: 50 – 10 = 40. 
The blank is 10.

Q5: Compare the following pairs of expressions using ‘<‘, ‘>’, or ‘=’

(a) 72 × 34 – 15 ___ 72 × 30 – 15

Ans: 72 × 34 = 72 × (30 + 4) = 72 × 30 + 72 × 4.
So, 72 × 34 – 15 = 72 × 30 + 72 × 4 – 15, and 72 × 30 – 15 = 72 × 30 – 15.
So, 72 × 34 – 15 > 72 × 30 – 15

(b) 63 – 9 + 5 ___ 63 – 9 + 5

Ans: Same expression.
So, 63 – 9 + 5 = 63 – 9 + 5.

01. Large Numbers Around Us Chapter very short Questions answer

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Q1: Rounding 4,78,942 to the nearest thousand gives ______.

Ans: 4,79,000

As 942 is greater than 500 so we round up

Q2: Convert 7,300,000 into the Indian number system.

Ans: 73,00,000 (Seventy-three lakh)

Q3: Write the following numbers in Indian Place Value Notation: 

One crore one lakh one thousand ten 

Ans: 1,01,01,010

Step-by-step (Indian Number System):

  • One crore = 1,00,00,000
  • One lakh = 1,00,000
  • One thousand = 1,000
  • Ten = 10
  • Now add them all, we get: 1,01,01,010

Q4: True or False: 1 crore = 100 lakhs

Ans: True

1 crore = 100 lakhs.

Q5: Write the numbers 6,345,210 in words using the International system.

Ans: Six million three hundred forty-five thousand two hundred ten

Q6: Round 3,19,612 to the nearest ten thousand.

Ans: 3,20,000

(Since the thousands digit is 9, we round up)

Q7: Using any digits from 0 to 9 without repeating, write the greatest 5-digit number that is a multiple of 5.

Ans: A number is divisible by 5 if it ends in 0 or 5.
For maximum value, use the largest digits: 9, 8, 7, 6.
Case 1: Ends in 5: 98765 (digits 9, 8, 7, 6, 5, distinct, divisible by 5).
Case 2: Ends in 0: 98760 (digits 9, 8, 7, 6, 0, distinct, divisible by 5).
Compare: 98765 > 98760 (5 > 0 in units).
So, 98765 is the greatest 5-digit number that is a multiple of 5.

Q8: Calculate the product in a quick way

116 x 5

Ans:

116 x (10/2) as 10/2 = 5
58 x 10
580

Q9: Arrange the following in ascending order: 45,210; 54,120; 40,250; 49,500

Ans: 40,250 < 45,210 < 49,500 < 54,120

15. Rani Abbakaka Chapter very shorts Questions answer

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Q1: Who is the main character in the story?
Ans: Rani Abbakka, the queen of Ullal.

Q2: Who demanded tribute from Ullal?
Ans: The Portuguese.

Q3: How did Rani Abbakka respond to the Portuguese envoy’s demand?
Ans: She refused to pay tribute, declaring Ullal sovereign.

Q4: What was Rani Abbakka’s plan after her coronation?
Ans: To resist the Portuguese and fight for Ullal’s independence.

Q5: Who was Rani Abbakka’s husband?
Ans: Veera Narasimha, the king of Bangadi.

Q6: Why was Veera Narasimha worried about Abbakka’s plan?
Ans: He feared it would anger the Portuguese and endanger his kingdom.

Q7: What did Veera Narasimha do to stop Abbakka?
Ans: Ordered his soldiers to stop her.

Q8: Who did Rani Abbakka reach out to for support?
Ans: Local rajas (kings).

Q9: What did Abbakka order to strengthen Ullal?
Ans: The building of merchant ships.

Q10: Who did Abbakka form an alliance with?
Ans: The Zamorin of Kozhikode.

Q11: How long did the battle for Ullal last?
Ans: Four days.

Q12: What happened to the Portuguese after the battle?
Ans: They were defeated and retreated.

Q13: What did Abbakka do after defeating the Portuguese?
Ans: Attacked their fort.

Q14: What is one moral of the story?
Ans: Courage and determination can lead to victory against strong enemies.

Q15: How did Abbakka’s victory affect other Indian rulers?
Ans: It inspired them to resist foreign powers.

14. My Dear soldiers Chapter very short Questions answer

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Q1: Who does the poet address as “Defenders of borders”?
Ans: Soldiers who protect the country.

Q2: What does the poet call soldiers in the first stanza?
Ans: Great sons of the land.

Q3: What do soldiers do while people sleep?
Ans: Stay awake to guard the nation.

Q4: What weather conditions do soldiers face in the second stanza?
Ans: Windy, snowy, and scorching hot days.

Q5: How does the poet compare soldiers to yogis?
Ans: They tread lonely expanses with focus.

Q6: What terrains do soldiers patrol in the third stanza?
Ans: Mountains, valleys, deserts, marshes, seas, and air.

Q7: What do soldiers sacrifice according to the third stanza?
Ans: The prime of their youth.

Q8: What does the poet say the wind chimes do?
Ans: Vibrate to honour soldiers’ feats.

Q9: What does the poet pray for in the final stanza?
Ans: The soldiers’ safety and blessings.

Q10: What does the eternal flame in the poem symbolise?
Ans: Soldiers’ spirits living on.

Q11: What is one moral of the poem?
Ans: Value and respect soldiers’ sacrifices.

Q12: What does the poem encourage us to feel for soldiers?
Ans: Gratitude for their selfless service.

Q13: What do soldiers give up for the nation?
Ans: Personal comforts and safety.

Q14: What does the poet ask the Lord to do for soldiers?
Ans: Bless them all.

Q15: How does the poem describe soldiers’ dedication?
Ans: They guard the nation under tough conditions.

13. A Homage to our brave soldiers Chapter very short Questions answer

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Q1: Who are the two friends exchanging letters in the story?
Ans: Soumya and Ananda.

Q2: Where does Soumya visit during her school trip?
Ans: The National War Memorial in New Delhi.

Q3: What does Soumya learn about the purpose of the memorial?
Ans: It honours soldiers who died in wars for India.

Q4: When was the National War Memorial inaugurated?
Ans: February 2019.

Q5: What is the Amar Chakra at the memorial?
Ans: The Circle of Immortality with an eternal flame.

Q6: What does the Tyag Chakra represent?
Ans: The Circle of Sacrifice with soldiers’ names.

Q7: Which bravery award does Soumya mention?
Ans: Param Vir Chakra (PVC).

Q8: Who is the first recipient of the Param Vir Chakra that Soumya mentions?
Ans: Major Somnath Sharma in 1947.

Q9: Which hero does Soumya choose for her school presentation?
Ans: Major Padmapani Acharya.

Q10: What inspires Soumya about Lance Naik Albert Ekka?
Ans: His bravery in the 1971 war despite injuries.

Q11: What does Ananda dream of doing after reading Soumya’s letter?
Ans: Joining the Armed Forces.

Q12: Where does Ananda recall visiting in Chandigarh?
Ans: A war memorial in Bougainvillaea Garden.

Q13: Which poem does Ananda mention in his letter?
Ans: Pushp ki Abhilasha by Makhanlal Chaturvedi.

Q14: Who is the Kargil War hero Ananda admires?
Ans: Captain Anuj Nayyar.

Q15: What is one moral of the story?
Ans: Be thankful for soldiers’ sacrifices for our freedom.

12. Conquering the summit Chapter very short Questions answer

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Q1: Who is the main character in the story?
Ans: Arunima Sinha.

Q2: What was Arunima passionate about before her accident?
Ans: Sports, especially volleyball.

Q3: What career did Arunima plan to pursue after her law degree?
Ans: Joining the paramilitary forces.

Q4: What happened to Arunima on April 11, 2011?
Ans: She lost one leg in a train accident.

Q5: What did Arunima decide to do while recovering in the hospital?
Ans: Climb Mount Everest.

Q6: Where did Arunima train for her Everest climb?
Ans: Nehru Institute of Mountaineering in Uttarkashi.

Q7: Who guided Arunima during her training?
Ans: Bachendri Pal.

Q8: When did Arunima reach the summit of Mount Everest?
Ans: May 21, 2013.

Q9: What did Arunima place at the Everest summit?
Ans: The Indian flag and a photo of Swami Vivekananda.

Q10: What made Arunima’s Everest climb unique?
Ans: She was the first Indian woman with an artificial leg to do it.

Q11: What did Arunima achieve by July 2016?
Ans: Conquered the highest peaks of all seven continents.

Q12: Which mountain did Arunima climb in January 2019?
Ans: Mount Vinson in Antarctica.

Q13: What is one moral of the story?
Ans: Never give up on dreams, no matter how tough life gets.

Q14: What qualities helped Arunima succeed?
Ans: Determination, courage, and perseverance.

Q15: What does Arunima’s story show about challenges?
Ans: They can make us stronger if faced with determination.

11. Travel Chapter very short Questions answer

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Q1: Who wrote the poem about loving trains?
Ans: Edna St. Vincent Millay.

Q2: How far are the railroad tracks from the speaker?
Ans: Miles away.

Q3: What does the speaker hear during the noisy day?
Ans: A train’s whistle shrieking.

Q4: What makes the day loud in the first stanza?
Ans: Voices of people speaking.

Q5: What time of day is described in the second stanza?
Ans: Night, meant for sleep and dreaming.

Q6: What does the speaker imagine seeing in the night sky?
Ans: Red cinders from a train’s engine.

Q7: What sound does the speaker hear at night?
Ans: The train’s engine steaming.

Q8: How does the speaker feel about their friends?
Ans: Their heart is warm with affection.

Q9: What does the speaker say about their friends’ quality?
Ans: They couldn’t find better friends.

Q10: What would the speaker do with any train?
Ans: Take it, no matter where it’s going.

Q11: What does the phrase “no matter where it’s going” show?
Ans: The speaker’s adventurous spirit.

Q12: What does the speaker balance in the third stanza?
Ans: Love for friends and a desire for travel.

Q13: What is one moral of the poem?
Ans: Adventure can coexist with strong friendships.

Q14: What does the poem encourage us to embrace?
Ans: Curiosity and new experiences.

Q15: What does the speaker’s love for trains represent?
Ans: A passion for exploration and a fuller life.

10. The Tunnel Chapter very short Questions answer

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Q1: Who is the main character in the story?
Ans: Suraj, a young boy who loves adventure.

Q2: What does Suraj love to watch near the jungle tunnel?
Ans: The steam train bursting out.

Q3: How does Suraj reach the tunnel’s exit?
Ans: He cycles from town and walks over a hill.

Q4: What does Suraj compare the train to when it emerges?
Ans: A green, black, and gold dragon.

Q5: What does Suraj see on the hillside after exiting the tunnel?
Ans: A flash of orange and gold, a leopard’s tail.

Q6: Who is Sunder Singh in the story?
Ans: The watchman who looks after the tunnel.

Q7: What is Sunder Singh’s job?
Ans: To inspect the tunnel and signal trains.

Q8: What does Sunder Singh call the leopard?
Ans: “His” leopard, a familiar visitor.

Q9: When does Suraj return to the tunnel?
Ans: The next evening for the night train.

Q10: What sound alerts Suraj and Sunder Singh in the tunnel?
Ans: A sawing sound from the leopard.

Q11: How do they scare the leopard away?
Ans: With shouts and an oil lamp.

Q12: What happens just after the leopard flees?
Ans: The night train roars through the tunnel.

Q13: How does Suraj see Sunder Singh again?
Ans: From the train, spotting his oil lamp.

Q14: What is one moral of the story?
Ans: Courage and curiosity lead to exciting adventures.

Q15: What does the story highlight about Suraj and Sunder Singh?
Ans: Their kindness and trust form a special friendship.