5 Marks Questions

Question 15 Marks

If a figure gives a matchstick pattern of triangles. Find the general rule that gives the number of matchsticks in terms of the number of triangles.
$i.\ $

$ii.\ $

$iii.\ $

$iv.\ $

Answer

From the above figure, it can be concluded that the letter $Z$ will require $3$ matchsticks
Therefore, The pattern is $3n.$

View full question & answer→

Question 25 Marks

Look at the following matchstick pattern of squares (Fig.). The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchstick in terms of the number of squares.
(Hint : If you remove the vertical stick at the end, you will get a pattern of Cs.)

Answer

From the given figures in the question, we it can be seen that,
The number of matchsticks in the above-given pattern are $4, 7, 10$ and $13$ respectively.
$4 = 3(1) + 1,$
$7 = 3(2) + 1,$
$10 = 3(3) + 1$
$13 = 3(4) + 1$
Hence, the pattern for above-given figures will be:
$3n + 1$ where $n = 1, 2, 3, ...$ represents the number of squares.

View full question & answer→

MATHS 5 Marks Questions

Take a timed test