Text Book Solutions All Class

Section A: Multiple Choice Questions

Q1: Two consecutive numbers in the Virahãnka sequence are 377 and 610. What is the first of the next 2 numbers?
A) 987
B) 1597
C) 2584
D) 4181

Q2: The expression 4n + 3 generates numbers for different values of n. What is the parity of 4n + 3 when n = 3?
A) 0
B) 1
C) 2
D) 4

Q3: Anil wants to find the parity of the 10th term of the Virahãnka sequence. What is the parity?
A) 0
B) 1
C) 2
D) 3

Section B: Fill in the Blanks 

Q4: Solve the cryptarithm: X4 + Y = Z11. The value of X is ______.

Q5: Uneek wants to find all 5-beat rhythms (sums of 1’s and 2’s). The number of ways to write 5 as a sum of 1’s and 2’s is ______. 

Q6: Ishan has number cards with values 1, 3, 5, 7, and 9. She wants to select 3 cards that sum to 21. The number of ways to select 3 cards summing to 21 is _______. 

Section C: Word Problems

Q7: Priya and Rohan, two siblings born one year apart, celebrate their birthdays. Priya claims the sum of their ages is 25. Is this possible? 

Q8: Write the next 3 numbers in the sequence: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. 

Q9: Two consecutive numbers in the Virahãnka sequence are 987 and 1597. What are the next 2 numbers in the sequence? 

Q10: A light bulb is OFF. A student toggles its switch 50 times. How many times is the bulb ON after 50 toggles? [Count ON state, 1 for ON, 0 for OFF.]

Q11: Using the generalized form, find a magic square if the center number is 13. 

Q12: Vanshika wants to climb a 9-step staircase, taking either 1 or 2 steps at a time. In how many different ways can she reach the top?

Q1. Classify the following pairs of lines as Parallel (P), Perpendicular (⊥), or Intersecting (I):
a) Opposite edges of a book
b) Hands of a clock at 9:00
c) Letter “T”
d) Railway tracks
e) Corners of a window frame

Section B: Numerical Based Questions

Q2. Two lines intersect to form four angles. If one angle is 70°, find the measures of the other three angles.

Q3. In the figure below, line l∥m and transversal t cuts them. If ∠2=65°, find ∠6.

Section C: Theory Based Questions

Q4. Define:
a) Parallel lines
b) Perpendicular lines

Q5. Identify the type of angles formed when two lines intersect:
a) Angles opposite each other
b) Adjacent angles forming a straight line

Q6. Two railway tracks are said to be parallel. A boy standing on a bridge drops a straight stick that cuts across both tracks.
What is the name of the stick in geometric terms?
Also, name any two pairs of angles formed and say if they are equal.

Section A: Multiple-Choice Questions (MCQs)

Q1: One plate of dosa costs ₹50, and one plate of idlis costs ₹30. If x plates of dosa and y plates of idli are ordered, which expression represents the total amount earned in rupees?
a) 50x – 30y
b) 50x + 30y
c) (50 + 30) x (x + y)
d) 30x + 50y

Q2: A flour mill takes 12 seconds to start and 6 seconds per kg of grain to grind. Which expression describes the time to grind z kg of grain, starting from off?
a) 12 + 6 + z
b) 12 x 6 x z
c) 12 + 6 x z
d) (12 + 6) x z

Q3:  For a matchstick pattern, the number of matchsticks in step y is given by 4y + 1. How many matchsticks are needed for step 5?
a) 22
b) 21
c) 18
d) 28 

Q4: A shop rents out chairs and tables. The net cost for x chairs and y tables is 25x + 60y. What is the cost for 3 chairs and 2 tables?
a) 195
b) 206
c) 155
d) 135

Q5: In a quiz, Meera’s score in one round is 5p – 2q, where p is the points for a correct answer and q is the penalty. If p = 6 and q = 1, what is her score?
a) 29
b) 24
c) 28
d) 32

Section B: True or False
a) The terms 5xy and −2yx are like terms.

b) If n = 4, then the value of 5n−3 is 17.

c) The expression 2y+7 has three terms: 
2, y, and 7.

d) 3 (x + 2) = 3x + 6.

Section C: Patterns Based QuestionQ1: Matchsticks form squares: 1 square = 4 matchsticks, 2 squares = 7 matchsticks, 3 squares = 10 matchsticks. Find the rule for n squares. How many matchsticks are needed for 12 squares?

Section D: Word Problems

Q1: Arjun is 6 years older than Bhavna. If Bhavna’s age is b years, write an expression for Arjun’s age and find Arjun’s age when Bhavna is 14 years old.

Q2: Maya makes matchstick patterns with W’s, each requiring 5 matchsticks. Write an expression for the number of matchsticks needed for n W’s and calculate the number needed for 10 W’s.

Q3: Rakesh buys oranges at ₹25 each and 1 kg of flour at ₹45. Write an expression for the total cost of o oranges and f kg of flour, and find the cost for 4 oranges and 3 kg of flour.

Q4: The perimeter of a regular pentagon is 5 times the side length. Write an expression for the perimeter if the side length is q cm, and find the perimeter when q = 6 cm.

Q5: In a quiz, Vikram’s scores in three rounds are 4p – 3q, 5p – 2q, and 3p – q, where p is points for a correct answer and q is the penalty. Find his total score expression and calculate it if p = 7 and q = 2.

Section A: Multiple Choice Questions

Q1:  On a number line, the segment between 3 and 4 is divided into 10 equal parts. Which decimal represents the 6th division after 3?
(a) 3.66
(b) 3.006
(c)

(d) 

Q2: What is the decimal form of 4 ones, 7 tenths, and 2 hundredths?
(a) 4.72
(b) 47.2
(c) 4.072
(d) 

Q3: Which of the following is the largest?

(a) 

(b) 

(c) 

(d) 

Section B: Fill in the BlanksQ4: The sum of and   (represented as mixed fraction is) _______

Q5: The decimal 6.45 represents _____units and _____ hundredths. 

Q6: In the sequence 4.2, 4.5, 4.8, …, the next term is _____ .

Section C:  Conversion Questions (m to cm or cm to m)

Q7: 

Section D: Word Problems

Q8: Observe the sequence of numbers: Identify the pattern and find the next three terms

Q9: A ribbon is meters long. How many centimeters is this?

Q10: The length of Arjun’s forearm is units, and his upper arm is 2.6 units. What is the total length of his arm in decimal form?

Section A: Multiple Choice Questions

Q1: Ananya reads a three-page story every day except on Wednesdays and Sundays. How many stories would she complete reading in 6 weeks? Which expression describes this scenario? 
a) 5 × 3 × 6
b) (7 – 3) × 6
c) 6 × 7
d) (7 + 2) × 3 × 6

Q2: Which expression is equal to 76 – 29 – 14 without computation? 
a) 77 – 30 – 14
b) 76 – (29 + 14)
c) 76 – 30 – 15
d) -29 + 76 – 13

Q3: Which expression is equivalent to 4 × (7 + 3)?
a) 4 × 7 + 4 × 3
b) 4 + 7 × 3
c) 7 × (4 + 3)
d) 4 × 7 + 3

Q4: Which expression matches the arrangement of 4 groups of 3 red squares plus 2 extra blue squares?
a) 4 × 3 + 2
b) 3 × (4 + 2)
c) 4 + 3 × 2
d) 4 × (3 + 2)

Q5: Which symbol (‘<‘, ‘>’, or ‘=’) compares 156 + 278 and 157 + 275 correctly? 
a) <
b) >
c) =
d) Cannot determine

Section B: Fill in the Blanks

Q6: Fill in the blank to make the expressions equal: 19 + 7 = __ + 9. 

Q7: Complete the expression to make it equal: 35 + __ = 8 × 6. 

Q8: Identify the terms in the expression 7 + 4 × 5. Write the sum of terms __.  

Q9: Fill in the blank to make the expressions equal using reasoning: 512 + __ = 508 + 7.

Section C: Word Problems

Q10: Priya spends ₹30 every day on snacks at school. Write the expression for the total amount she spends on snacks in a week from Monday to Friday. Evaluate the expression. 

Q11: Vikram gave 80 coins to  Arjun and 80 coins to Kiran last year. Arjun invested his coins and tripled their value.  Kiran spent half of his coins on a charity. Write an expression for the total number of coins they have now, identify its terms, and evaluate it. 

Q12: Aman bought a pack of pens for ₹20 and a notebook for ₹65. He gave the shopkeeper ₹100. Write an expression using brackets to calculate the change Aman will get back and find its value. 

Q13: During the day, a caterpillar climbs 5 cm up a tree, and at night, it slips down 3 cm. The tree is 11 cm high, and a leaf is at the top. Write an expression for the net progress per day and determine how many days it will take to reach the leaf

Q14: In a parade, boy scouts march in 5 rows with 6 scouts each, and girl guides march in 2 rows with 6 guides each. Write two different expressions for the total number of scouts and guides and verify they give the same value. 

Section D: Think and Answer

Q15: Rewrite the following expressions using brackets to get the given result:
a) 8+4×2=248 + 4 × 2 = 24
b) 20−5÷5=1920 − 5 ÷ 5 = 19

Q16: Create two different expressions that evaluate to 16 using at least two operations each.

Section A: Multiple Choice Questions

Q1: Compare and write ‘<‘, ‘>’ or ‘=’: 40 thousand _____ 5 lakhs.
a) <
b) >
c) =
d) Cannot be determined

Q2: In the Indian system, how are commas placed for the number 12345678?
a) 1,23,45,678
b) 12,34,56,78
c) 123,456,78
d) 1,234,56,78

Q3: How many zeros does a hundred lakh have?
a) 5
b) 6
c) 7
d) 8

Q4: Will the sum of 5,72,345 and 3,19,876 be greater than 8,90,000 or less than 8,90,000?
a) Greater than 8,90,000
b) Less than 8,90,000
c) Equal to 8,90,000
d) Cannot be determined

Q5: What is the product of 111 × 111?
a) 12321
b) 12221
c) 12331
d) 12121

Section B: Fill in the Blanks

Q6: Exact value of 3,82,456 + 2,97,543 = ________.

Q7: Write the number 4,50,700 in words: ________.

Q8: The game of Thoughtful Thousands only has a +1000 button. It should be pressed ________ times to show 70,000.

Q9: According to a census, the population of a town was 82,345 in 2011. Approximately, it was (Round to the nearest ten thousand for approximation) ________.

Section C: Word Problems

Q10: If Priya ate 4 varieties of fruits every day, will she be able to taste all 1 lakh varieties in a 100-year lifetime? Find out.

Q11: Find out how many coins should be stacked to match the height of a monument 150 meters tall. Assume each coin is 2 mm thick.

Q12: A waterfall is 400 meters tall. A building is 4 times the height of a person who is 2 meters tall. How much taller is the waterfall than the building? 

Q13: If Sanjay could travel 200 kilometers every day, could he reach a planet 5,00,000 km away in 8 years?

Q14: A calculator has buttons: +1, +10, +100, +1000, +10000, +100000. One way to get 6083 uses 25 button clicks. Is there another way to get 6083 using fewer button clicks? Write the expression for the same.

Section D: Think and Answer

Q15: Write any 8-digit number, show its Indian and International place values, and write it in words in both systems.