Increase 70 by the following ratios: a) 4:3, b) 5:3, c) 8:7, d) 9:4, e) 11:5, f) 17:14 .

Increase 70 by the following ratios:

a 4:3

b 5:3

c 8:7

d 9:4

e 11:5

f 17:14

Increase 60 by the following ratios: a) 2:3, b) 5:6, c) 7:12, d) 3:5, e) 1:4, f) 13:15.

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?

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?

y is inversely proportional to $x^{2}.$ If y = 1 when x = 0.5, find: a) the constant of proportionality, b) the value of y when x = 0.1, c) the value of y when x = 0.25, d) the value of x when y = 64.

For each conditional statement, write the converse. if possible, write a true biconditional statement. If it is not possible, explain why. If a quadrilateral is a square, then the quadrilateral is a rectangle. a. Converse: b. Biconditional:

A train travelling at 100 km/h takes 4 hours for a journey. How long would it take a train travelling at 60 km/h?

Complete the sentences by inferring information about the italicized word from its context. An $\mathit{ambidextrous}$ golfer would not need to worry about having left- or right-handed clubs because...

Evaluate the following expressions if $p = 4, q = -2, r = 3$ and $s = -5$.

a) $2 p+4 q$

b) $5 r-3 s$

c) $3 q-4 s$

d) $6 p-8 q+4 s$

e) $3 r-3 p+5 q$

f) $p-q+r+s$

Six people can dig a trench in 8 hours. a) How long would it take: i) 4 people, ii) 12 people, iii) 1 person? b) How many people would it take to dig the trench in: i) 3 hours, ii) 16 hours, iii) 1 hour?

The table below represents the relationship between the speed and the time taken for a train to travel between two stations.

$$\begin{matrix} \text{Speed (km/h)} & \text{60} & \text{ } & \text{ } & \text{120} & \text{90} & \text{50} & \text{10}\\ \text{Time (h)} & \text{2} & \text{3} & \text{4} & \text{ } & \text{ } & \text{ } & \text{ }\\ \end{matrix}$$

Copy and complete the table.

Chairs in a hall are arranged in 35 rows of 18. a) How many rows would there be with 21 chairs to a row? b) How many chairs would there be in each row if there were 15 rows?

At a school sports day, the winning time for the 100 m race was given as 11.8 seconds. a) Illustrate the lower and upper bounds of the time on a number line. b) Using T seconds for the time, express the range of values in which T must lie, as an inequality.