COPY: Divisibility Rules and Surface Area

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Which method confirms if a number is divisible by 4?

The entire number must be divisible by 4.

The last two digits must be divisible by 4. (correct)

The last digit must be divisible by 4.

The last two digits must be divisible by 2.

What is the result when 128 is successively halved to check for divisibility by 4?

32

12

16

64 (correct)

What indicates that 246 is not divisible by 4?

The overall sum of the digits is not divisible by 4.

The result after halving is not a whole number. (correct)

The last digit is odd.

The last two digits are not even.

To determine if a number is divisible by 8 using the last three digits, what condition must be met?

The last three digits must be divisible by 8. Signup and view all the answers

Which alternative method checks if a number is divisible by 8?

Halve the number three times. Signup and view all the answers

Which of the following numbers is divisible by 8 based on the last three digits?

432 Signup and view all the answers

What is the last digit of a number that is divisible by 4?

It must be even. Signup and view all the answers

What was the result of halving the number 2432 three times?

304 Signup and view all the answers

What should be performed first in the order of operations?

Operation in brackets Signup and view all the answers

Calculate 7 + 4 × 9 − 8. What is the correct answer?

35 Signup and view all the answers

What does 'BIDMAS' stand for?

Brackets, Indices, Division, Multiplication, Addition, Subtraction Signup and view all the answers

Calculate 25 − (2 + 3) × 4. What is the final result?

5 Signup and view all the answers

In the expression 6 + 3 × 2 − 1, which operation is performed last?

Subtraction Signup and view all the answers

Calculate 22 + (3 + 5)² × 2. What is the result?

150 Signup and view all the answers

What is the primary purpose of the order of operations in mathematics?

To provide a standard convention for calculations Signup and view all the answers

What will be the result of the calculation 4 × 2 + 5 − 3 × 1?

9 Signup and view all the answers

What is the total surface area of the cuboid calculated using Method 1?

126 cm² Signup and view all the answers

Which dimension is used to calculate the area of the front and back faces of the cuboid?

5 cm and 6 cm Signup and view all the answers

What is the area of the top and bottom faces of the cuboid calculated using Method 1?

36 cm² Signup and view all the answers

What is the combined area of the two sides of the cuboid according to Method 1?

30 cm² Signup and view all the answers

How is the area of rectangle A determined in the net of the cuboid?

6 × 16 Signup and view all the answers

What area is calculated for rectangles B and C in the cuboid's net?

15 cm² each Signup and view all the answers

Using Method 2, what is the total surface area of the cuboid derived from its net?

126 cm² Signup and view all the answers

Which method involves calculating the surface area by considering pairs of faces?

Method 1 Signup and view all the answers

What is the total volume of the original cuboid before any cuts are made?

480 cm3 Signup and view all the answers

If a cuboid with dimensions $x cm \times x cm \times 4 cm$ is cut from a corner, which expression represents the volume of the cut-out cuboid?

$4x^2$ Signup and view all the answers

What is the remaining volume of the shape after the cuboid has been removed?

199 cm3 Signup and view all the answers

What must be the value of x to maintain a total volume of 199 cm3 for the remaining shape?

4 cm Signup and view all the answers

Which formula correctly calculates the surface area of a cuboid?

$2(lw + lh + wh)$ Signup and view all the answers

What is the surface area of a cuboid with dimensions $10 cm \times 10 cm \times 4 cm$?

240 cm2 Signup and view all the answers

What is one way to design a composite shape that can be split into two cuboids with a total volume of 200 cm3?

Design one cuboid of $10 cm \times 4 cm \times 5 cm$ and another $10 cm \times 2 cm \times 5 cm$ Signup and view all the answers

For a composite shape split into three cuboids totaling 500 cm3, which dimensions could be accurate?

One cuboid of $20 cm \times 10 cm \times 2.5 cm$ Signup and view all the answers

Which of the following numbers is divisible by 2?

24 Signup and view all the answers

What does it mean if a number is divisible by 9?

It is always divisible by 3. Signup and view all the answers

Which of the following reflects a probability of an event that is certain?

1 Signup and view all the answers