A cube of side 4 cm is enlarged by a ratio of 3:1. a) What is the volume of: i) the original cube? ii) the enlarged cube? b) By what ratio has the volume been increased?

A banner needs to be enlarged from its original format. The dimensions of the original are 4 cm tall by 25 cm wide. The enlarged banner needs to be at least 8 m wide but no more than 1.4 m tall. Calculate the minimum and maximum ratios of enlargement possible.

A drawing measuring 10 cm by 16 cm needs to be enlarged. The dimensions of the enlargement need to be 25 cm by 40 cm. Calculate the enlargement needed and express it as a ratio.

For questions given below, determine if the distribution represents a probability distribution. If not, state why.

The triangle is to be reduced by a ratio of 1: 2

A cuboid measuring 3cm by 5cm by 2cm is enlarged by a ratio of 2 : 1.

a What is the volume of:

i the original cuboid?

ii the enlarged cuboid?

b By what ratio has the volume been increased?

A rectangle measuring 7 cm by 4 cm is enlarged by a ratio of 2:1 a) What is the area of: i) the original rectangle? ii) the enlarged rectangle? b) By what ratio has the area been enlarged?

A photocopier enlarges in the ratio 7:4. What would be the new size of a diagram measuring 16 cm by 12 cm?

A worker in a sugar factory packs 24 cardboard boxes with 15 bags of sugar in each. If he had boxes which held 18 bags of sugar each, how many fewer boxes would be needed?

A swimming pool is filled in 30 hours by two identical pumps. How much quicker would it be filled if five similar pumps were used instead?

The triangle is to be reduced by a ratio of 1 : 2.

a Calculate the area of the original triangle.

b Calculate the area of the reduced triangle.

c Calculate the ratio by which the area of the triangle has been reduced.

https://cdn.mathpix.com/snip/images/eMl5WtZIscW5ze6euxqDCMuxzygmuHjGwzVkT_798ZE.original.fullsize.png

The best way to improve the development of paragraph 4 is to A. move sentence 10 to the end of paragraph 4. B. move sentence 10 to the end of paragraph 3. C. combine paragraphs 4 and 5. D. move sentence 11 to the end of paragraph 4. E. move sentence 10 to paragraph 5.

What are some of the similarities between the Hausa city-states and other city-states you have read about?

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. The builder said that warm, damp conditions in the basement are $\mathit{conducive}$ to ...