Equal Groups Class 4 Worksheet with Answers Maths Chapter 9 - #NCSOLVE 📚

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Class 4 Maths Chapter 9 Equal Groups Worksheet with Answers Pdf

Equal Groups Class 4 Maths Worksheet

Class 4 Maths Chapter 9 Worksheet with Answers – Class 4 Equal Groups Worksheet

Multiple

A multiple is the product when one number is multiplied by another number.
Multiplication table of 2.

The numbers 2, 4, 6, 8, 10,… are the multiples of 2.

Common Multiples

Take two numbers, say, 2 and 3.

The common multiples of 2 and 3 are 6, 12, 18, and so on.

Frog and Rabbit

A frog jumps four steps and a rabbit jumps 8 steps at a time, starting from a place 0.

Question 1.
At which of the following steps will they both jump together?
(a) 18
(b) 21
(c) 14
(d) 30

Question 2.
Which number do both the frog and rabbit touch?
__________________________________
There is no end to multiples of a number.

Doubling and Halving

Double the given number first, and then halve it. Write them down.

One’s Digit after Doubling

Question 1.

Doubles of 2 and 8 have unit digit – ____________
Doubles of 3 and 7 have unit digit – ____________
Doubles of 4 and 6 have unit digit – 6
Double of 5 has unit digit – ____________
Double of 9 has unit’s digit – 1

Question 2.
Find the ones digit of the following numbers when doubled without actual calculation.
(a) 16
(b) 48
(c) 55
(d) 37
Solution:
(a) Here ones digit of (16)² = the Ones digit of 6²
= One digit of 36
= 6

(b) __________________________________
__________________________________

(c) __________________________________
__________________________________

(d) __________________________________
__________________________________

Multiplication

In a multiplication sum:
1. The number to be multiplied is known as the multiplicand.
2. The number by which the multiplicand is multiplied is called the multiplier.
3. The answer we get is called the product.

Question 1.
A shopkeeper buys 46 crates of mangoes at ₹ 15 per crate. How much money does he pay?
Solution:
Here, the multiplier is 15
we can write 15 = 10 + 5
Therefore, multiply 46 by 10 and 5 separately and add the two products, which will give the final product.

Therefore 460 + 230 = ₹ 690

Question 2.
In a cricket stadium, the North stadium has 21 rows with 16 seats in each row. How many seats are there in the stand?
Solution:
__________________________________
__________________________________
__________________________________
__________________________________

Question 3.
Rohan runs a sweet shop. He packs 24 kaju katli in one one-kilogram box as shown below.

(a) There are ____________ columns of Kaju Katli.
(b) There are ____________ Kaju Katli in each column.
(c) There are ____________ rows.
(d) Mathematical Statement ____________

Question 4.
Shyam makes some jalebi and packs each box with 3 jalebis as shown in the picture.

(a) There are ____________ jalebi in each row.
(b) There are ____________ rows.
(c) How many pack of jalebis are there? ____________
(d) How many jalebis has he made? ____________
(e) How did you calculate it? ____________
(f) After that he has received a special order. He has made 90 jalebis. How many packs will he have to make? ____________

Multiplication and Division Sentences

A. Using the following numbers, make two multiplication and two division sentences:

Question 1.

Question 2.

Question 3.

Question 4.

B. Shade the sentences of multiplication and division.

Fill each square in the chart by multiplying the row number by the column number.

Question 1.
Are there more even numbers than odd? What do you notice?
__________________________________

Question 2.
Is there a row where all answers are odd numbers?
__________________________________

Question 3.
Colour the common multiples of the following:
(a) 5 and 6
____________
(b) 9 and 8
____________
(c) 3 and 58
____________

Question 4.
Colour the multiples of 4 with red, 5 with blue, 6 with green, and 8 with yellow.
Do you see a repeating pattern here?
__________________________________

Question 5.
Write the digit in the given box.
9 × 12 = ____________
5 × 8 = ____________
7 × 13 = ____________

Multiples of Tens

Find the number without counting.

Question 1.
How many balls?

____________ times ____________ = ____________ balls

Question 2.
How many chairs?

____________ times ____________ = ____________ chairs

Question 3.
How many apples?

____________ times ____________ = ____________ apples

Question 4.
A bicycle has two wheels. How many wheels are there in 16 bicycles?

2 × 16 = 2 × (10 + 6) = 2 × 10 + 2 × 6 = ____________
(a) 16
(b) 32
(c) 30
(d) 48

Question 5.
A bus has 6 wheels. How many wheels are there in 20 buses?

(a) 80
(b) 100
(c) 120
(d) 140

Multiplication by Multipliers Ending with Zero

A number, when multiplied by 1, gives the number itself.
5 × 1 = 5
When a number is multiplied by 10, we put a zero to the right of the multiplicand to get the product.
5 × 10 = 50
In general, when we multiply a number by 10, 100, 1000, etc., we put 0, 00, 000 to the right of the number.
67 × 100 = 6700 and 436 × 1000 = 436000

Multiplicative Property of Zero
When a number is multiplied by 0, the product is always 0.
25 × 0 = 0
536 × 0 = 0

Order Property of Multiplication
A change in the order of the two numbers does not change the product of the two numbers.
7 × 6 = 42
6 × 7 = 42
120 × 4 = 480
4 × 120 = 480

Question 1.
3 wheels are needed to make an autorickshaw. How many wheels are needed for 25 autorickshaws?

Given that 3 wheels are needed to make an autorickshaw.
Hence, 25 autorickshaws need 3 wheels each = 25 × 3 wheels
= (20 + 5) × 3 wheels
= (20 + 3) wheels + (5 × 3) wheels
= ____________ wheels + ____________ wheels
= ____________ wheels

Question 2.
A nursery contains 28 rows. If each row has 6 rose plants, how many rose plants are there in the nursery?

__________________________________

Division

Question 1.
Divide these 10 candies into groups of 2 each.

Division is an equal grouping

Question 2.
Put these 25 laddoos in 5 plates such that there are an equal number of laddoos in each plate.

Divide 64 by 4 by partial quotient

Solve using Partial Quotients

Question 1.
A pen costs ₹ 6. How many such pens can be had for ₹ 768?

Question 2.
Four students can sit on a bench. How many benches are needed for 732 students?

Question 3.
A colour box has 8 crayons. How many similar boxes are needed for 815 crayons? Will there be any crayons left?

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