Scaling a Factor Less than One

Q.

Counting by fives, write numbers starting from $3505$.

Q. $\text{A rectangular sheet of paper sheet is of the given}$ $\text{dimensions. What will the new dimensions of}$ $\text{the rectangular sheet (in inches) be after a cut}$
$\text{if the scaling factor is}\frac{2}{3}$?

1. Length = 24; Width = 12
2. Length = 12; Width = 24
3. Length = 28; Width = 12
4. Length = 24; Width = 14

Q. $\text{A small airplane has a wingspan of 15 ft. The}$ $\text{scale factor for its model is}\frac{1}{60}\text{. Find the}$
$\text{wingspan of the model in inches.}$

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

Q. $\text{A tea table is of a rectangle shape as shown.}$ $\text{But the length of its sides has to be decreased}$ $\text{by a factor of}\frac{1}{2}\text{. Find the dimensions of the}$ $\text{rectangular tea table after the decrease.}$

1. Length = 12.5 ft; Width = 4 ft
2. Length = 12.5 ft; Width = 3 ft
3. Length = 50 ft; Width = 16 ft
4. Length = 12 ft; Width = 3 ft

Q. Sort the followings in ascending order from top to bottom.

1. $5\times \frac{3}{4}$
2. $5\times \frac{2}{2}$
3. $5\times \frac{4}{3}$
4. $5\times 0$

Q. $\text{A pole of height 12 feet is reduced with a scale}$
$\text{factor of}\frac{3}{4}\text{to form a new pole. Find the height of}$ $\text{the new pole.}$

1. 6 ft
2. 7 ft
3. 8 ft
4. 9 ft

Q. Ria, Mia, Kia, and Jia found a big chocolate bar as shown. What fraction of the chocolate will they get if they divide it equally?

1. $\frac{1}{4}$
2. $\frac{1}{2}$
3. 1
4. 4

Q. Multiplying a number by any other number always results in a larger number than the original.

1. True
2. False

Q. Sara draws a square of side length $2$ inch and she rescaled it by a scale factor such that side length of new square becomes $3$ inch.


What is the scale factor?

1. $\frac{2}{3}$
2. $\frac{3}{2}$
3. $\frac{1}{2}$
4. $\frac{1}{3}$

Q. A company produces rulers 15 inches long. Due to pressure from higher authorities, now the length of the ruler is reduced to 5 inches. What is the scale factor here?

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{4}$
4. $\frac{1}{5}$

Q. A new pencil is 30 cm long. After a few days, it becomes 15 cm. What is the scaling factor here?

1. 2
2. $\frac{1}{2}$
3. 4
4. $\frac{1}{4}$