Question 1

100 kilograms (kg) is approximately equal to 220 pounds (lb). Draw a conversion graph with kilograms from 0 to 200 and use the graph to estimate what 300 lb is in kg.

Accepted Answer

$	ext{136 kg}$

Answer

$	ext{59 kg}$

Answer

$	ext{95 kg}$

Answer

$	ext{160 kg}$

Question 2

A $12$ acre plot of land in France costs $	ext{58 800 euros.}$
A $15$ acre plot of land in Argentina costs $	ext{4520 000 Argentine pesos.} 	ext{1 euro = 64.19 Argentine pesos.}$

Work out the cost per acre for both plots of land in euros."

Accepted Answer

France = 4900 euros per acre, Argentina = 4694.39 euros per acre.

Answer

France = 5200 euros per acre, Argentina = 4705 euros per acre.

Answer

France = 4500 euros per acre, Argentina = 4802.72 euros per acre.

Answer

France = 5900 euros per acre, Argentina = 4301.54 euros per acre.

Question 3

A team of 12 builders can complete the building of a house in six days.
How long would it take 18 builders to complete the building of the house?

Accepted Answer

4 days

Answer

9 days

Answer

12 days

Answer

6 days

Question 4

A team of 12 builders can complete the building of a house in six days.

How many builders would be needed to compete the house in three days?

Accepted Answer

24 builders

Answer

30 builders

Answer

32 builders

Answer

28 builders

Question 5

$T$ is inversely proportional to $W$, $W$= 4 when $T$ = 5.
What is the value of $T$ when $W$ = 8?

Accepted Answer

$2.5$

Answer

$4.5$

Answer

$9$

Answer

$1000

Question 6

$p$ is directly proportional to $q$.
When $q$ = 4, $p$ = 50, work out a formula for $p$ in terms of $q$

Accepted Answer

$p = 12.5 q$

Answer

$p =  \frac{ 25 }{ q }$

Answer

$p =  \frac{ q }{ 12.5 }$

Answer

$p =  \frac{ 4q }{ 50 }$

Question 7

$f$ is inversely proportional to $g$, $g$ is directly proportional to $h^2$.
Given that $g = 3$ and $h = 0.5$, when $f = 6$, work out a formula for $f$ in terms of $h$.

Accepted Answer

$f= \frac{ 3 }{ 2h^2 }$

Answer

$f= \frac{ h }{ h+3 }$

Answer

$f=   \frac{ 12 }{  \sqrt{h+1}}$

Answer

$f=  \sqrt{h+3}$

Question 8

The velocity, $V$, of a small marble is proportional to the square root of its kinetic energy, $E$.
If the velocity is increased by $20\%,$ by what percentage will the kinetic energy increase?

Accepted Answer

$44\%$

Answer

$24\%$%

Answer

$58\%$

Answer

$36\%$

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