5 Marks Questions

Question 15 Marks

Locate the points $A(1,2), B(4,2)$ and $C(1,4)$ on a graph sheet taking suitable axes. Write the coordinates of the fourth point Dto complete the rectangle $A B C D$

Answer

Given, points are $A(1,2), B(4,2)$ and $C(1,4)$.
Location of given points on the graph given below.

To complete the rectangle $A B C D$, the coordinate of the fourth point $D$ is $(4,4)$, i.e. $D(4,4)$ locate points on the graph yourself.

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Question 25 Marks

Study the distance-time graph given below for a car to travel to certain places and answer the questions that follow.
(i) How far does the car travel in 2 h ?
(ii) How much time does the car take to reach $R$ ?
(iii) How long does the car take to cover 80 km ?
(iv) How far is Qfrom the starting point?
(v) When does the car reach the place Safter starting?

Answer

(i) From the given graph, the car travel in 2 h is 80 km .
(ii) 5 h taken by car to reach $R$.
(iii) 2 h taken by car to cover 80 km .
(iv) $Q$ is 120 km far from starting point.
(v) The car reach the place $S$ after starting in $6 h$, So, in this period, car travel 240 km.

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Question 35 Marks

Study the graph and answer the questions that follow
(i) What information does the graph give?
(ii) On which day was the temperature least?
(iii) On which day was the temperature $31^{\circ} C$ ?
(iv) Which was the hottest day?

Answer

(i) The information obtained from the given graph is that the maximum temperature is $34^{\circ} C$ and minimum temperature is $25^{\circ} C$ in a week.
(ii) On Sunday, the temperature was $25^{\circ} C$. So, it is least temperature in the week.
(iii) On Saturday, the temperature was $31^{\circ} C$.
(iv) On Friday, the temperature was $34^{\circ} C$.
Hence, it is the hottest day of the week.

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Question 45 Marks

Study the given graphs (i) and (ii) and complete the corresponding tables below.

(i)

$x$	0	1	2	3
$y$

(ii)

$x$	0	1	2	3	4
$y$

Answer

Graph (i) shows $x=y$
If $x=0$, then $y=0$, If $x=1$, then $y=1$
If $x=2$, then $y=2$, If $x=3$, then $y=3$

$x$	0	1	2	3
$y$	0	1	2	3

Graph (ii) shows that $y=2 x+2$, because
If $x=0$, then $y=2$, If $x=1$, then $y=4$
If $x=2$, then $y=6$, If $x=3$ then $y=8$
and If $x=4$, then $y=10$

$x$	0	1	2	3	4
$y$	2	4	6	8	10

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Question 55 Marks

The following chart gives the growth in height
(in terms of percentage) of boys and girls with their respective ages:

Age (in yr)	Boys	Girls
8	72%	77%
9	75%	81%
10	78%	84%
11	81%	88%
12	84%	91%
13	88%	95%
14	92%	98%
15	95%	99%
16	98%	99.5%
17	99%	100%
18	100%	100%

Draw the line graph of above data on the same sheet and answer the following question
(i) In which year both the boys and the girls achieve their maximum height?
(ii) Who grows faster at puberty (14-16 yr of age)?

Answer

(i) In 18 yr , the boys and in 17 yr , the girls achieve their maximum height.
(ii) Boys grows faster than girls during puberty.

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Question 65 Marks

Draw a graph for the radius and circumference of circle using a suitable scale.
[Hints Take radius = 7,14 and 21 units and so on]
From the graph,
(i) Find the circumference of the circle when radius is 42 units.
(ii) At what radius will the circumference of the circle be 220 units?

Answer

If radius is 7 units, then circumference of the circle
$
=2 \times \pi \times 7=2 \times \frac{22}{7} \times 7=2 \times 22=44 \text { units }
$
$[\because$ circumference of a circle] $=2 \pi r$
If radius is 14 units, then circumference
$
=2 \times \pi \times 14=28 \times \frac{22}{7}=4 \times 22=88 \text { units }
$
If radius is 21 units, then circumference
$
=2 \times \pi \times 21=42 \times \frac{22}{7}=132 \text { units }
$
If radius is 28 units, then circumference
$
=2 \times \pi \times 28=56 \times \frac{22}{7}=22 \times 8=176 \text { units }
$
If radius is 35 units, then circumference
$
=2 \times \pi \times 35=70 \times \frac{22}{7}=220 \text { units }
$
If radius is 42 units, then circumference
$
=2 \times \pi \times 42=84 \times \frac{22}{7}=12 \times 22=264 \text { units }
$
Table for the graph,

Radius of circle	7	14	21	28	35	42
Circumference of circle	44	88	132	176	220	264

(i) Circumference of the circle when radius is 42 units, will be equal to 264 units.
(ii) Radius of the circle will be 35 units when circumference of the circle equals to 220 units.

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Question 75 Marks

Plot a line graph for the variables $p$ and $q$.

$p$	2	4	6	8
$q$	1	2	3	4

Answer

Give table for the graph

$p$	2	4	6	8
$q$	1	2	3	4

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Question 85 Marks

Draw a graph for each table given below
(i)

$x$	0	1	2	3
$y$	1	4	7	10

(ii)

$x$	1	2	4	6
$y$	0	1	3	5

Answer

(i) Given

$x$	0	1	2	3
$y$	1	4	7	10

(ii) Given table is

$x$	1	2	4	6
$y$	0	1	3	5

and graph from the above data.

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MATHS 5 Marks Questions

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