Multiplication of Two-Digit Numbers: Master the Grid and Expanded Methods

Question 1

Which of these is NOT a factor of 48?

Accepted Answer

10

Answer

2

Answer

3

Answer

6

Question 2

Which of the following is the most efficient way to multiply 24 by 15?

Accepted Answer

Use the grid method

Answer

Use the expanded method

Answer

Round the numbers and multiply

Answer

Use a calculator

Question 3

Which step is NOT involved in the grid method?

Accepted Answer

Multiply the answer by 10

Answer

Decompose the two numbers into tens and ones

Answer

Multiply the tens and ones separately

Answer

Add the partial products

Question 4

Which of the following methods is generally considered the most efficient for multiplying two-digit numbers?

Accepted Answer

Grid method

Answer

Expanded method

Answer

Multiplication table

Answer

Mental math

Question 5

Which property of multiplication states that multiplying any number by zero gives zero?

Accepted Answer

Multiplicative identity property

Answer

Distributive property

Question 6

Which of the following is NOT a step in the expanded method of multiplication?

Accepted Answer

Multiply the two numbers together without considering place value

Answer

Multiply each digit of the multiplier by each digit of the multiplicand

Answer

Add the partial products vertically

Answer

Write the answer in expanded form

Question 7

In the grid method, where is the final answer written?

Accepted Answer

Bottom right corner

Answer

Top left corner

Answer

Middle of the grid

Answer

Next to the multiplier

Question 8

Which property of multiplication means that multiplying 3 by 4 gives the same result as multiplying 4 by 3?

Accepted Answer

Commutative property

Answer

Associative property

Answer

Distributive property

Answer

Identity property

Question 9

How do we use multiplication to find the area of a rectangle? Give an example to show your understanding.

Accepted Answer

In a rectangle, we multiply the length by the width to find the area. For instance, if a rectangle is 5 cm long and 3 cm wide, its area is 5 cm × 3 cm = 15 square cm.

Answer

To find the area of a rectangle, we multiply its perimeter by 2.

Answer

Multiplication is not used to calculate the area of rectangles.

Answer

To find the area of a rectangle, we multiply its length by its height.

Question 10

Which of the following is a disadvantage of using the grid method?

Accepted Answer

Can be time-consuming

Answer

Suitable for small numbers only

Answer

Promotes memorisation

Answer

Encourages estimation

Question 11

Which of the following expressions represents the product of 45 and 23?

Accepted Answer

45 × 23

Answer

45 + 23

Answer

23 + 45

Answer

23 × 45

Question 12

To calculate 23 x 14 using the grid method, what is the first step?

Accepted Answer

Partition 23 into 20 and 3

Answer

Multiply 20 by 14

Answer

Add the partial products

Answer

Simplify the answer

Question 13

Which of the following is NOT a step in multiplying two-digit numbers using the standard algorithm?

Accepted Answer

Subtracting the smaller number from the larger

Answer

Multiplying the tens digits of the two numbers

Answer

Adding the partial products

Answer

Simplifying the answer

Question 14

What is the first partial product in the standard algorithm calculation of 17 x 23?

Accepted Answer

140

Answer

100

Answer

210

Answer

280

Question 15

Which of the following is a common error made when multiplying two-digit numbers using the standard algorithm?

Accepted Answer

Forgetting to carry a digit when multiplying by the tens digit

Answer

Adding the partial products instead of multiplying them

Answer

Reversing the order of the numbers when multiplying

Answer

Using the wrong method (e.g., using the grid method instead of the standard algorithm)

Question 16

True or False: The product of any two-digit number and 10 will always be a multiple of 10.

Accepted Answer

True

Answer

False

Question 17

When multiplying two-digit numbers using the grid method, what is the purpose of combining the partial products?

Accepted Answer

To find the total product by adding the individual products of each digit's multiplication

Answer

To find the difference between the partial products to get the total product

Answer

To skip a step in the grid method that doesn't affect the total product

Answer

To estimate the total product, not the exact value

Question 18

Which of the following correctly describes the initial step in the grid method for multiplying 34 and 18?

Accepted Answer

Create a 2x2 grid with the digits of one number along the top and the other number along the left side.

Answer

Add the two numbers together.

Answer

Multiply the two numbers directly.

Question 19

To calculate 24 x 32 using the grid method, what is the first step in setting up the grid?

Accepted Answer

Partition the numbers into tens and units

Answer

Multiply the top digit by the bottom digit

Answer

Place the partial products in the appropriate boxes

Question 20

Which of the following is NOT a factor of 24?

Accepted Answer

7

Answer

6

Answer

4

Answer

3

Question 21

What is the quotient when 1234 is divided by 24?

Accepted Answer

51

Answer

61

Answer

71

Answer

41

Question 22

Use the expanded method to find the product of 57 and 23.

Accepted Answer

1301

Answer

1201

Answer

1501

Answer

1401

Question 23

What is the result of multiplying 24 by 32?

Accepted Answer

768

Answer

584

Answer

864

Answer

672

Question 24

Use the expanded method to find the product of 18 and 27.

Accepted Answer

486

Answer

386

Answer

686

Answer

586

Question 25

A rectangular garden is 25 meters long and 16 meters wide.  What is the area of the garden?

Accepted Answer

400 square meters

Answer

600 square meters

Answer

500 square meters

Answer

300 square meters

Question 26

Which of these expressions is the same as 34 × 28?

Accepted Answer

(30 + 4) × (20 + 8)

Answer

(30 × 20) - (4 × 8)

Answer

(30 × 20) + (4 × 8)

Answer

(30 - 4) × (20 - 8)

Question 27

Calculate 15 multiplied by 37 without using a calculator.

Accepted Answer

555

Answer

455

Answer

655

Question 28

A farmer has 24 rows of apple trees, with 18 trees in each row. How many apple trees does the farmer have in total?

Accepted Answer

432

Answer

532

Answer

332

Answer

632

Question 29

Round the product of 23 and 26 to the nearest ten.

Accepted Answer

600

Answer

800

Answer

500

Answer

700

Question 30

Which of these numbers is NOT a factor of the product of 24 and 16?

Accepted Answer

12

Answer

8

Answer

2

Answer

4

Question 31

A rectangular swimming pool is 27 meters long, 15 meters wide, and 12 meters deep. What is the volume of water in the pool?

Accepted Answer

4860 cubic meters

Answer

5860 cubic meters

Answer

6860 cubic meters

Answer

3860 cubic meters

Question 32

Estimate the product of 29 and 23 by rounding each number to the nearest ten.

Accepted Answer

600

Answer

500

Answer

700

Answer

800