Scaling a Factor Greater than One

Q.

A triangle is dilated using a scale factor of $3$. The image is then dilated using a scale factor of $\frac{1}{2}$. What scale factor can you use to dilate the original triangle to obtain the final image? Explain.

Q.

A dimensionless quantity :

1. May have a unit

2. Never has a unit

3. Always has a unit

4. Does not exist

Q. The height of a basketball pole for kids is 5 ft. For adults, the height of the basketball pole is 10 ft. What is the scale factor?

1. 0.5
2. 1
3. 1.5
4. 2

Q.
What is the scale factor in above figure?

1. $1$
2. $2$
3. $3$
4. $4$

Q. Mike saw two wooden sticks in his garden of different lengths. How many times is the length of the larger stick of the smaller one?

1. 2
2. 3
3. 4
4. 5

Q. $\text{A dining table top is in rectangle shape as shown.}$
$\text{We want to increase it's side lengths by a factor}$
$\text{of 2}\frac{1}{2}\text{. Find the dimensions of the table after the}$
$\text{increase.}$

1. Length = 65 ft; Width = 20 ft
2. Length = 62.5 ft; Width = 20 ft
3. Length = 65 ft; Width = 25 ft
4. Length = 62.5 ft; Width = 25 ft

Q. A car manufacturer produces exact scale models of the original cars. What is the length of the original car if its length is thrice the length of the model car?

1. 12 ft
2. 16 ft
3. 20 ft
4. 18 ft

Q. Figure B is a blueprint of figure A. Find the value of $x$ using the dimensions given in the diagram.

1. 4 units
2. 6 units
3. 8 units
4. 10 units

Q. Alex draws a rectangle of dimensions 3 cm in width and 6 cm in length. He wants to rescale it by a scale factor of $\frac{4}{3}$, What are the dimensions of the new rectangle?

1. Width $=4$ cm and Length $=10$ cm
2. Width $=4$ cm and Length $=8$ cm
3. Width $=5$ cm and Length $=8$ cm
4. Width $=5$ cm and Length $=10$ cm

Q. $\text{A long rope is cut into two pieces. One is of length}$
$\text{12 ft, and the other is cut}3\frac{1}{2}\text{times more than the}$ $\text{length of the first one. What is the length of the}$ $\text{other rope?}$

1. 42 ft
2. 36 ft
3. 48 ft
4. 38 ft

Q.

A company is producing nacho chips, $△STU$. As demand increases, the size of the nacho chips increases, and the updated version is $△PQR$. Find the scaling factor of the nacho chips.

1. 1
2. 2
3. 3
4. 4

Q. When scale factor of a stick is $1$, length of the stick remains unchanged.

1. True
2. False

Q. Sara has a stick that she wishes to enlarge. What do you think the scale factor should be?

1. Greater than $1$
2. Less than $1$
3. $1$

Q. The length of a commercial plane is seven times the length of a single pilot aircraft. Find the length of a commercial plane

Q. If Sara want to reduce length of her magic stick then she should multiply its length by a scaling factor($>1$)

1. True
2. False