Question 1

When the scale of a map is given 1 : 20 000, what is the unit length represented as?

Accepted Answer

centimetre

Answer

millimetre

Answer

kilometre

Answer

metre

Question 2

A map scale is usually represented as a ratio, for example  1: 400 . Which of the following is correct?

Accepted Answer

Map : Actual

Answer

Actual : Actual

Answer

Actual : Map

Answer

Map : Map

Question 3

1 km = ________ m?

Accepted Answer

1000

Answer

100

Answer

$\frac{1}{1000}$

Answer

100 000

Question 4

1 km = _________ cm?

Accepted Answer

100 000

Answer

1000

Answer

100

Answer

10 000

Question 5

1 cm = _______ m?

Accepted Answer

$\frac{1}{100}$

Answer

10

Answer

1000

Answer

100

Question 6

Which of the following is the ratio of area on map to actual area?

Accepted Answer

$1:r^2$

Answer

$1:\frac{1}{r}$

Answer

$1:r$

Answer

$1:r^3$

Question 7

In a city,  the bus station is situated 960m away from the train station. A map is drawn using the scale  1cm = 150m. Work out the distance between the bus station and train station on the map.

Accepted Answer

6.4 cm

Answer

144 000 cm

Answer

6.4 m

Answer

144 000 m

Question 8

A street is 250 m long. It is represented by a distance of 5 cm on a map. Which of the following is correct.

Accepted Answer

250 m - actual length

Answer

50 cm - map length

Answer

250 m - map length

Answer

5 cm - actual length

Question 9

Express 3 cm : 900 m map scale in the form 1 : r.

Accepted Answer

1 : 30 000

Answer

1 : 300

Answer

1 : 2700

Answer

3 : 900

Question 10

The scale of a street map is 1 : 5000. Find the actual distance, in metres, for 4 cm on the map.

Accepted Answer

200 m

Answer

2 m

Answer

20 m

Answer

2000m

Question 11

A map has a scale of 8 cm to 1 km. The distance between two lakes is 4.5 km. How far will this be on the map?

Accepted Answer

36 cm

Answer

1 cm

Answer

1.78cm

Answer

0.5625 cm

Question 12

The scale of a map is 1 : 50 000. Find the area on map , in $cm^2$ for actual area of $15km^2$

Accepted Answer

$60cm^2$

Answer

$6cm^2$

Answer

$75cm^2$

Answer

$600cm^2$

Question 13

$y=kx$

Accepted Answer

y is directly proportional to x

Answer

y is directly proportional to kx

Answer

y and x varies inversely

Answer

y is inversely proportional to x

Question 14

$y=\frac{k}{x}$. Which of the following is incorrect.

Accepted Answer

$y=kx$

Answer

$xy=k$

Answer

$yx=k$

Answer

$\frac{k}{y}=x$

Question 15

Which is an example of direct variation?

Accepted Answer

$y=kx$

Answer

$y=\frac{k}{x}$

Answer

$y=kxy$

Answer

$xy=k$

Question 16

$y=\frac{k}{x^2}$

Accepted Answer

y is inversely proportional to $x^2$

Answer

y is directly proportional to $x^2$

Answer

y is directly proportional to x

Answer

y is inversely proportional to x

Question 17

If cost $(c)$ of chicken varies directly as its weight $(w)$. What is the equation?

Accepted Answer

$c=kw$

Answer

$w=\frac{k}{c}$

Answer

$c=\frac{k}{w}$

Answer

$k=cw$

Question 18

$y$ varies directly to $x$, and $y=19$ when $x=152$

Accepted Answer

$y=\frac{1}{8}x$

Answer

$y=8x$

Answer

$y=-\frac{1}{2}x$

Answer

$y=-2x$

Question 19

Write an equation for this relationship

Accepted Answer

$y = \frac{1}{4}x$

Answer

$y = 4xy $

Answer

$y = \frac{1}{3}x$

Answer

$y = \frac{1}{8}xy$

Question 20

p is inversely proportional to the square root of q

Accepted Answer

$p=\frac{k}{\sqrt{q}} $

Answer

$p=k\sqrt{q}$

Answer

$p=kq^2$

Answer

$p=\frac{k}{q^2}$

Question 21

$y$ varies inversely to $x$, and $y=45$ when $x=7$

Accepted Answer

$y=\frac{315}{x}$

Answer

$y=\frac{x}{315}$

Answer

$y=\frac{1}{315x}$

Answer

$y=315x$

Question 22

$s$ is directly proportional to the square of $t$, and $s=100$ when $t=5$

Accepted Answer

$s=4t^2$

Answer

$s=\frac{1}{4}t^2$

Answer

$s=20t^2$

Answer

$s=\frac{1}{20}t^2$

Question 23

$y$ is inversely proportional to the square of $x$, and $y=8$ when $x=5$, Find $y$ when $x=2$

Accepted Answer

50

Answer

49.5

Answer

160

Answer

80

Question 24

$y$ is inversely proportional to the square of $x$, and $y=8$ when $x=5$, Find $x$ when $y=50$

Accepted Answer

2 , -2

Answer

2

Answer

4, -4

Answer

4

Question 25

Is the given table a direct variation? If so, what is the constant?

Accepted Answer

NO

Answer

Yes; 2

Answer

Yes; $\frac{1}{4}$

Answer

Yes; 4

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