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Multiple Choice Questions (MCQs)

Q1. Which of the following is a factor of 24?
(a) 5
(b) 6
(c) 7
(d) 9

Q2. The smallest multiple of any number is:
(a) 0
(b) 1
(c) The number itself
(d) 2

Q3. Which of the following is a multiple of 7?
(a) 21
(b) 22
(c) 23
(d) 25

Q4. How many factors does 12 have?
(a) 4
(b) 6
(c) 8
(d) 5

Q5. Which of the following numbers is a common factor of 18 and 24?
(a) 3
(b) 4
(c) 5
(d) 7

Q6. Which of the following numbers is NOT a multiple of 9?
(a) 18
(b) 27
(c) 35
(d) 36

Q7. A number that has exactly two factors is called a:
(a) Prime number
(b) Composite number
(c) Even number
(d) Odd number

Q8. What is the greatest common factor (GCF) of 12 and 16?
(a) 2
(b) 3
(c) 4
(d) 6

Q9. The least common multiple (LCM) of 4 and 6 is:
(a)12
(b) 24
(c) 10
(d) 8

Q10. Which of the following is a factor of every number?
(a) 0
(b) 1
(c) 2
(d) The number itself
Fill in the Blanks

Q1. Factors of 20 are ________.

Q2. Multiples of 5 are ________, ________, ________, ________.

Q3. The smallest prime number is ________.

Q4. Common factors of 12 and 18 are ________, ________, ________.

Q5. LCM of 3 and 4 is ________.

Q6. 1 is a factor of every ________.

Q7. The number 15 has ________ factors.

Q8. Multiples of 7 up to 50 are ________, ________, ________, ________, ________, ________.

Answer the Following 

Q1: In a sports day event, students are lined up in rows of 6, 9, or 18. What is the smallest number of students that can be arranged in this way?

Q2: A baker has cookies that he wants to pack in boxes of 7, 14, or 21 cookies. What is the least number of cookies he needs to ensure there are no cookies left out?

Q3: At a community picnic, the organizers want to divide the attendees into groups of 4, 6, or 8 evenly. What is the minimum number of attendees needed?

Q4: A classroom has students who need to be arranged in rows of 10, 20, or 25 for a group photo. What is the least number of students that should be present?

Q5: A musical concert is organized where the audience must be seated in sections of 15, 30, or 45. How many minimum seats should be available?

Q1. A figure is said to have symmetry if it can be divided into:
a) Equal halves
b) Unequal parts
c) Only straight lines
d) Circles only

Q2. How many lines of symmetry does a square have?
a) 2
b) 3
c) 4
d) 5

Q3. Which of the following shapes has only one line of symmetry?
a) Circle
b) Equilateral triangle
c) Rectangle
d) Isosceles triangle

Q4. How many lines of symmetry does a circle have?
a) 1
b) 2
c) 4
d) Infinite

Q5. Which alphabet has 2 lines of symmetry?
a) A
b) H
c) C
d) F

Q6: A rectangle has how many lines of symmetry?
a) 1
b) 2
c) 3
d) 4

Q7: Which of the shapes is divided into two mirror halves by a dotted line?

(a) A and B
(b) All of these
(c) B and C
(d) B and C

Q8: In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric.

Q9: Draw the line (s) of symmetry for each of the following figures :

Q10: Is the dotted line on each shape a line of symmetry? Write yes or no.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii) 

A. Multiple Choice Questions

Q1: What is weight?
(a) The measure of space an object occupies
(b) The force with which Earth attracts an object
(c) The amount of liquid in a container
(d) The measure of distance between two points

Q2: Which unit is used to measure capacity?
(a) Gram
(b) Litre
(c) Kilogram
(d) Meter

Q3: How many grams are there in 1 kilogram?
(a) 10
(b) 100
(c) 1000
(d) 1

Q4: Which unit is used to measure very small weights?
(a) Milligram
(b) Gram
(c) Kilogram
(d) Litre

Q5: How is liquid measured using a measuring jug?
(a) By its colour
(b) By pouring and comparing
(c) By reading the scale marked on the jug
(d) By weighing the liquid

B. Short Questions

Q1: Name two units used to measure weight.

Q2: How many millilitres are there in 1 litre?

Q3: Name three units used to measure capacity.

Q4: What is the standard SI unit of weight?

C. Fill in the Blanks

Q1: The SI unit of weight is _______________.

Q2: Capacity is the measure of _______________ a container can hold.

Q3: 1 kilogram is equal to _______________ grams.

Q4: 1 litre is equal to _______________ millilitres.

Q5: Very small weights are measured in _______________.

D. Match the Column

A. 1 kilogram → (i) 1000 millilitres
B. 1 litre → (ii) 1000 grams
C. 1 gram → (iii) 1000 milligrams
D. 1 millilitre → (iv) 1 cubic centimetre

E. True or False

Q1: The SI unit of weight is kilogram. 

Q2: 1 litre is equal to 1000 grams. 

Q3: Capacity is measured in litres and millilitres.

Q4: 1 millilitre of water is equal to 1 cubic centimetre of water. 

Q5: Weight is measured in litres. 

Multiple Choice Questions (MCQs)

Q1. Regular pentagons do not tessellate because:
a) Their sides are unequalx
b) They leave gaps when fitted
c) They are not polygons
d) They have unequal angles

Q2. Which of these shapes tessellates without leaving gaps?
a) Pentagon
b) Hexagon
c) Octagon
d) Circle

Q3. A rectangle is a special type of:
a) Square
b) Parallelogram
c) Rhombus
d) Trapezium

Q4. In a kite, which sides are equal?
a) Opposite sides
b) Adjacent sides
c) Diagonal sides
d) No sides

Q5. Which triangle has all three sides equal?
a) Isosceles triangle
b) Equilateral triangle
c) Scalene triangle
d) Right triangle

Q6. A dodecahedron has faces in the shape of:
a) Triangles
b) Squares
c) Pentagons
d) Hexagons

Fill in the blanks 

Q1. A shape with all sides equal and all angles equal is called a __________.

Q2. A triangle with no equal sides is called a __________ triangle.

Q3. Regular __________ tessellate because they can fit exactly around a point without gaps.

Q4. A quadrilateral whose opposite sides are equal is called a __________.

Q5. A shape with six equal sides is called a __________.

Q6. A cube has __________ faces, __________ edges, and __________ vertices.

Q7. In an isosceles triangle, __________ sides and __________ angles are equal.

Q8. A tangram is made up of __________ pieces.

Solve the Following Questions

Q1:  Draw and color the next shape to complete the pattern 
(i) 

(ii) 

Q2: Make a pattern using following blocks:
(i)

(ii)

Q3: Draw the next figures that follow the patterns:
(i)

(ii)

Q4: Complete the pattern:
(a)
(b)
(c)
(d)

Q1: 250 cm = ? m
(a) 2.5 m
(b) 25 m
(c) 0.25 m
(d) 2500 m

Q2: A rope is 600 cm long. If cut into 10 equal pieces, the length of each piece is:
(a) 60 m
(b) 60 cm
(c) 6 m
(d) 600 m

Q3: 5 km = ? m
(a) 500
(b) 5000
(c) 50
(d) 50,000

Q4: A train is 250 m long. What is its length in kilometers?
(a) 0.025 km
(b) 2.5 km
(c) 0.25 km
(d) 25 km

Q5: A ribbon is 36 m long. If each piece is 4 m long, how many pieces can be cut?
(a) 8
(b) 9
(c) 10
(d) 12

Q6: Convert the following into centimeters.

(i) 66 mm

(ii) 32 dm

(iii) 4 cm 8 mm

(iv) 63 km

(v) 16 m

(vi) 1.5 dm

Q7: Convert the following into kilometers.

(i) 14 m

(ii) 59 hm

(iii) 136 dam

(iv) 207 dam

(v) 5600 cm

(vi) 10000 cm

Q8: Compare the following using >, < or = sign:

(i) 702 cm ………. 503 cm

(ii) 2 m ………. 9 m

(iii) 800 cm ………. 80 m

(iv) 702 cm ………. 5 m

(v) 8 km ………. 7000 m

(vi) 625 cm ………. 9 m

(vii) 10 m ………. 4 cm

(viii) 1000 m ………. 1000 km

(ix) 100 cm ………. 100 m

(x) 1 km ………. 1000 m

Q9: A road between two villages is 8 km 250 m long. Out of this, workers have repaired 5 km 750 m. How much road is still left to repair?

Q10: A cloth merchant bought a roll of cloth 45 m long. He sold 12 m 40 cm to one customer and 18 m 60 cm to another. How much cloth is left with him?

Q11:  The distance from a school to the railway station is 4 km 300 m. The bus travels this distance in the morning and returns in the afternoon. What is the total distance covered by the bus in a day?

Sol: Distance from school to railway station = 4 km 300 m

Q12: A ribbon is 96 m long. It is cut into 12 equal pieces. What is the length of each piece?

Q13: A man walks 3 km every day. How many kilometers will he walk in 15 days?

Q14: A train travels 125 km in 1 hour. How much distance will it cover in 8 hours?

Q15: A road is 420 m long. It is divided into 7 equal sections. What is the length of each section?

Q1: A full turn is equal to how many degrees?
​(a) 90°
(b) 180°
(c) 270°
(d) 360°

Q2: Two half turns in the same direction are equal to:
(a) A quarter turn
(b) A full turn
(c) Three-quarter turn
(d) No turn

Q3: How many quarter turns make a full turn?
(a) 2
(b) 3
(c) 4
(d) 6

Q4: How many degrees are in one quarter turn?
(a) 45°
(b) 60°
(c) 90°
(d) 120°

Q5: A reflex angle is always:
(a) Less than 90°
(b) Between 90° and 180°
(c) Between 180° and 360°
(d) Equal to 90°

Q6: For each arrow turn, guess the size in degrees and state the type. 

(a) 1 quarter turn clockwise → ______ ° → type: __________

(b) 3 quarter turns anti‑clockwise → ______ ° → type: __________

(c) 1/2 of a full turn → ______ ° → type: __________

(d) 2/3 of a full turn  → ______ ° → type: __________

Q7: A robot starts facing East. It makes the following sequence of turns:

• 1 quarter turn clockwise,
• 1 half turn anti‑clockwise,
• 3 quarter turns clockwise.

(a) What direction is it facing now? __________
(b) What is the net turn (in degrees) relative to the start? __________°

Q8: Identify the type of angles given below: 

Q9. Draw angles with the following degree measures:

a. 60°

b. 45°

c. 180°

Q10: Draw the following angles:

(a) a right angle and label it as ∠ABC.

(b) an acute angle and label it as ∠XYZ.

(c) a straight angle and label it as ∠PQR.

Q1: Divide each collection into two equal parts by dotted lines:

Q2: In each of the following write the fraction representing the shaded portion:

Q3: Write the fraction whose
(i) Numerator is 7 and denominator is 15.

(ii) Numerator is 22 and denominator is 35.

Q4: Divide each collection into suitable number of equal parts and fill in the blanks:

Q5: Draw a collection of objects. Divide the collection into suitable number of equal parts and find:
(i) 1/3 of 9

(ii) 3/7 of 14

(iii) 4/9 of 18

Q6: Write the next three equivalent fractions of each of the following
(i) 1/4

(ii) 2/3

(iii) 5/9

(iv) 4/7

Q7: Fill in the missing numerators to make the statement true:

Q8: Find an equivalent fraction of 3/4 with:
(i) Numerator 15

(ii) Denominator 48

(iii) denominator 24

Q9: Fill in the missing denominators to make the statement true:

Q10: Check whether the given fractions are equivalent:
(i) 3/15, 1/5

(ii) 2/11, 6/21

(iii) 4/9, 8/18

Q11: State whether the fraction is in its lowest terms or not:
(i) 12/20

(ii) 4/6

(iii) 80/81

Q12: Reduce to the lowest terms:
(i) 21/28

(ii) 45/60

(iii) 36/54

Q13: Encircle the fraction which is in its lowest terms:

Q14: Fill in the blanks by putting > or < in each of the following to make the statement true:

Q15: Which is smaller in each of the following pairs of fractions?
(i) 3/16, 21/32

(ii) 18/25, 2/5

(iii) 8/21, 7/20

Q16: Find the sum:

Q17: Write the fractions whose numerator is 6 and denominator is 19.

You can find Worksheets Solutions here: Worksheet Solutions: Fractions

Table of contentsQ1: Multiple Choice Questions (MCQs)

(i) What is the place value of 5 in 1536?
(a) 5
(b) 50
(c) 500
(d) 5000

(ii) Which number comes first in ascending order?  
7308, 7038, 7348, 7304
(a) 7308
(b) 7038
(c) 7348
(d) 7304 

(iii) What is the short form of 8,00,000 + 2,000 + 30 + 6?
(a) 80,236
(b) 8,20,036
(c) 8,02,036
(d) 8,20,306

(iv) Which is the largest number in this group? 7,20,163; 7,20,136; 7,02,163; 7,02,613
(a) 7,20,136
(b) 7,02,613
(c) 7,02,163
(d) 7,20,163

(v) Which is the smallest 4-digit number using all different digits other than 0?

(a) 1303

(b) 1234

(c) 0132

(d) 0142Q2: True or False

(i) The place value of 4 in 3,49,026 is 4,000.

(ii) In the number 8036, 3 is in the hundreds place.

(iii) The number 1,25,471 is smaller than 61,832.

(iv) The smallest whole number is 0.

(v) 7,36,000 is the predecessor of 7,35,999.
Q3: Fill in the Blanks

(i) In 1042, 2 is at the _____ place.

(ii) The place value of 6 in 6,00,087 is _____.

(iii) The first six multiples of 4 are ____, ____, ____, ____, ____, and ____.

(iv) Arrange the numbers 62,917; 1,00,008; 45,132; 36,472 in descending order.

(v) The predecessor of the smallest 6-digit number is ____.

Q4: Answer the Following Questions

(i) Write the place value of 2 in 7,52,693.

(ii) Which is greater: 3,69,501 or 3,69,510?

(iii) Write the short form of: 9,00,000 + 4,000 + 200.

(iv) Arrange the numbers 4526, 4256, 4569, 4325 in ascending order.

(v) Write the number name for 4,65,009.

Q5: Find the place-value of 6 in each of the following numbers:

(a) 19,356 

(b) 6,00,087

Q6:  Write the number names for each of the following numbers: 

(a) 2,50,006 

(b) 4,65,009 

You can find Worksheets Solutions here: Worksheet Solutions: Introduction to Numbers – 1 

Multiple Choice Questions

Q1: What is the number to be divided called?

(a) Divisor
(b) Quotient
(c) Dividend
(d) Remainder

Ans: (c) Dividend

The number to be divided in a division operation is called the Dividend. For example, in 114 ÷ 8, the number 114 is the dividend.

Q2: What is the result of the division called?

(a) Dividend
(b) Divisor
(c) Quotient
(d) Remainder

Ans: (c) Quotient . 

                                                                             .        The result of a division operation is called the Quotient. For example, in 114 ÷ 8, the number 14 is the quotient.

Q3: Which of the following statements is true about dividing a number by itself?

(a) The result is the number itself.
(b) The result is always 1.
(c) The result is zero.
(d)The result is the dividend.

Ans: (b) The result is always 1
When a number is divided by itself (except zero), the result is always 1. For instance, 8÷8 = 1.

Q4: What happens when you divide zero by a non-zero number?

(a) The result is 1.
(b) The result is 0.
(c) The result is undefined.
(d) The result is the divisor.

Ans: (b) The result is 0.
When zero is divided by any non-zero number, the result is always 0. For example, 0÷5 = 0.

Q5: What is the remainder when 10 is divided by 3?

(a) 1
(b)  2
(c) 3
(d) 0

Ans: (a) 1
When 10 is divided by 3, the division gives a quotient of 3 and a remainder of 1. This is because 10 = (3×3) + 1.

Fill in the Blanks

Q1: The number left after division is called __________.

Ans: “Remainder”

Q2: When dividing a number by 1, the quotient is __________.

Ans: “The number itself”

Q3: The formula to verify division is __________.

Ans: “Divisor × Quotient + Remainder = Dividend”

Q4: The quotient of any number divided by itself is __________.

Ans: “1”

Q5: If you divide zero by a number, the result is __________.

Ans: “0”

True or False

Q1: Division by zero is defined. 

Ans: “False”
Division by zero is not defined because no number can be divided by zero in mathematics. It leads to an undefined result. Hence, the statement is False.

Q2: The remainder can be equal to the divisor. 

Ans: “False”
The remainder in a division operation is always less than the divisor. For example, in 10÷3, the remainder is 1, which is less than 3. Hence, the statement is False.

Q3: Division of a number by 1 always results in the number itself. 

Ans: “True”

Q4: The quotient of any number divided by itself is always greater than one. 

Ans: “False”
When a number is divided by itself (except zero), the quotient is always 1. For instance, 5÷5=1, which is not greater than one. Hence, the statement is False.

Q5: To divide by 10, you remove the last digit. __________

Ans: “True”

Answer the following questions

Q1: I want to distribute Rs 3,600 among 8 persons. How many rupees will each person get?
Ans:
Total Rs. = 3600
To be distributed among = 8 persons
3600 ÷ 8 = 450 Rs. per person

Q2: In a division, divisor = 100, quotient = 25 and remainder = 75, find the dividend.
Ans:
Divisor = 100, Quotient = 25 and Remainder = 75
Dividend = Quotient x Divisor + Remainder.
Dividend = 25 x 100 + 75 = 25075

Q3: In a division, remainder is always ______ than the divisor.
Ans: The remainder is always less than the divisor. If the remainder is greater than the divisor, it means that the division is incomplete. It can be greater than or lesser than the quotient.

Q4: 6308 ÷ 100 gives quotient = ______ and remainder = ______.
Ans: 6308 ÷ 100 gives quotient = 63 and remainder = 08.

Q5: Manish has Rs 84. The cost of one pencil box is Rs 14 How many pencil boxes can Manish buy for Rs 84?
Ans:

• Total money = RS 84
• Cost of 1 pencil box = RS 14
• Then cost of x pencil boxes is = 84 ÷ 14 = 6
• So, x = 6

Q1: Find the following products

(i) 38 x 9 
Ans: 38 x 9 = 342

(ii) 80 x 5
Ans: 80 x 5 = 400

(iii) 53 x 8
Ans: 53 x 8 = 424

Q2: Multiply

(i) 4,032 by 198
Ans:

 
=  4,032 x 198 = 798336

(ii) 3,647 by 245
Ans: 

= 3,647 x  245 = 893515

(iii) 501 by 123
Ans:

= 501 x 123 = 61623

Q3: Fill in the blanks

(i) 2,586 x ______ = 2,586
Ans: 2,586 x 1 = 2,586
(Identity Property: The product of any number with 1 is as same as the number itself.)

(ii) 624 x ______ = 38 x 624
Ans: 624 x 38 = 38 x 624
(Commutative property of multiplication is a math rule that says you can multiply numbers in any order, and the result will be the same.)

(iii) 600 x ______ = 0.
Ans: 600 x 0 = 0
(Zero property of multiplication is a fundamental rule in mathematics that states that any number multiplied by zero is equal to zero.)

Q4: Round off the following numbers to the nearest tens

(i) 13,528
Ans: Here’s the general rule for rounding:

• Number >= 5: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
• Number < 5: If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Therefore, applying these rules, we get:
13,528 = 13,530

(ii) 3,542
Ans: Here’s the general rule for rounding:

• Number >= 5: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
• Number < 5: If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Therefore, applying these rules, we get:
3,542 = 3,540

(iii) 174
Ans: Here’s the general rule for rounding:

• Number >= 5: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
• Number < 5: If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Therefore, applying these rules, we get:
174 = 170

Q5: Estimate Products by rounding each number to the nearest Tens

​(Find an approximate answer for each multiplication problem by rounding both numbers to the nearest tens place first, then multiplying the rounded numbers.
(i) 52 x 43
Ans: Here’s the general rule for rounding:

• Number >= 5: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
• Number < 5: If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Therefore, applying these rules, we get:
52 x 43 = 50 x 40 = 2000

(ii) 63 x 52
Ans: Here’s the general rule for rounding:

• Number >= 5: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
• Number < 5: If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Therefore, applying these rules, we get:
63 x 52 = 60 x 50 = 3000

Q6: Answer the following Questions

(i) Calculate the product of the place values of the two 6s in the number 6,965.

Ans: The place value of 1st 6 in 6,965 is at thousand’s place.
=> First place value of 6 = 6000
The place value of 2nd 6 in 6,965 is at ten’s place.
=> Second place value of 6 = 6000
Product of the place values of 6 in the number 6,965 = 6000 x 60 = 360000

(ii) Find the product of the greatest 2-digit number and the smallest 4-digit number ______.
Ans: Greatest 2-digit no. = 99
Smallest 4-digit no. = 1000
Therefore, the product of the greatest 2-digit number and the smallest 4-digit number = 1000 x 99 = 99000.

(iii) A transistor costs Rs. 1,642. Find the cost of 95 such transistors. 

Ans: Cost of one Transistor = Rs 1,642
Total number of transistors = 95
Cost of 95 Transistors = 1642 x 95 = 155,990

(iv) A candle factory produced 814 candles in a day. How many candles will this factory produce in a year?

Ans: A candle factory produces candles in a day = 814
Total  number of days in a leap year = 365
Candles this factory will produce in one year = 814 x 365 = 2,97,110

(v) A farmer produced 735 quintals of rice. He sold it at the rate of Rs 1525 per quintal. How much money did he get?
Ans: A farmer produced rice = 735 quintals
Cost per quintal = Rs. 1525
Money he got = 1525 x 735 = Rs. 1,120,875

(vi) The cost of a pack of Ghee is Rs. 308 Find the cost of 97 such packs.
Ans: The cost of 1 pack of Ghee = Rs. 308
Total number of packs = 97
Therefore, Total Cost of 97 packs of Ghee = 308 x 97 = 29,876