Enlargement by rational scale factors Quiz

1. A point $P(4,-6)$ is enlarged with centre the origin and scale factor $-\frac12$. Find the image.

• A. $(2,-3)$
• B. $(-2,3)$
• C. $(-8,12)$
• D. $(8,-12)$

2. $P(3,2)$ is enlarged with centre $(2,1)$ and scale factor 3. Find the image.

• A. $(9,6)$
• B. $(-1,-2)$
• C. $(4,3)$
• D. $(5,4)$

3. A rectangle has area 18 cm$^2$. It is enlarged with scale factor $\frac13$. Find the new area.

• A. $2$ cm$^2$
• B. $6$ cm$^2$
• C. $9$ cm$^2$
• D. $162$ cm$^2$

4. A solid of volume 40 cm$^3$ is enlarged with scale factor 3. Find the new volume.

• A. $120$ cm$^3$
• B. $360$ cm$^3$
• C. $1080$ cm$^3$
• D. $1200$ cm$^3$

5. Two similar bottles have heights in the ratio $2:3$. The smaller holds 400 ml. How much does the larger hold?

• A. $900$ ml
• B. $1350$ ml
• C. $600$ ml
• D. $1800$ ml