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BECE Mathematics 2014 Paper

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Question : 27

Total: 40

Using the following mapping, find the missing numbers

p

q

x\;\;\;1\;\;\;2\;\;\;3\;\;\;4\;\;\;5\;\;\;6

\downarrow\; \downarrow\; \downarrow\; \downarrow\; \downarrow\; \downarrow\; \downarrow

y\;\;\;3\;\;\;5\;\;\;p\;\;\;9\;11\;\;q

$p=6, q=12$
$p=6, q=13$
$p=7, q=12$
$p=7, q=13$

Solution:

Concept:

In a linear mapping, equal changes in

x

produce equal changes in

y

.

Explanation:

The

x

values increase by

1

each time.

For a linear mapping, consecutive

y

values must also change by the same difference.

From the given values,

5 - 3 = 2

and

11 - 9 = 2

.

So the common difference is

2

.

Therefore,

p = 5 + 2 = 7

.

Also,

q = 11 + 2 = 13

.

Answer:

p = 7

and

q = 13

, which is option D.

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