In the given figure, the position of the book on the table may be given by
- A(7,3)
- ✓(3,7)
- C(3,3)
- D(7,7)
Answer: B.
View full solution →Question types
Introduction to Graphs question types
50 questions across 11 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
50
Questions
11
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
5 Q→02TRUE-FLASE [1 Marks Each]
5 Q→03Assertion (A) & Reason (B) MCQ
2 Q→042 Marks Questions
6 Q→053 Marks Question
9 Q→065 Marks Questions
8 Q→07Case study (4 Marks)
2 Q→08MATCH THE FOLLOWING.
1 Q→091 Marks Question
6 Q→10BLANKS [1 Marks Each]
5 Q→114 Mark Question
1 Q→Sample Questions
Introduction to Graphs questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Data was collected on a student's typing rate and graph was drawn as shown below :
Approximately, how many words had this student typed in 30 s?
Approximately, how many words had this student typed in 30 s?
- A20
- B24
- ✓28
- D34
Answer: C.
View full solution →The coordinates of a point at a distance of 3 units from the $X$-axis and 6 units from the $Y$-axis is
- A(0,3)
- B(6,0)
- C(3,6)
- ✓(6,3)
Answer: D.
View full solution →In the glven graph, the letter that indicates the point $(0,3)$ is
- A$P$
- B$Q$
- ✓$R$
- D$S$
Answer: C.
View full solution →In the glven graph, the coordinates of point $P$ are
- A(0,2)
- B(2,3)
- ✓(3,2)
- D(3,0)
Answer: C.
View full solution →The y-coordinate of any point lying on the X-axis will be zero.
The points (3, 5) and (5, 3) represent the same point.
The coordinates of the origin are (0, 0).
The distance of any point from the X-axis is called the x-coordinate.
A line graph can also be a whole unbroken line.
Assertion (A) The population growth rate was highest during the years when the line on the graph had the shallow slope.
Reason (R) Steeper slopes on the line graph represent faster population growth.
Reason (R) Steeper slopes on the line graph represent faster population growth.
- ABoth A and R are true and R is the correct explanation of A .
- BBoth A and R are true but R is not the correct explanation of A
- ✓A is false but R is true.
- DR is false but A is true.
Answer: C.
View full solution →A line graph is given below
Assertion (A) In the line graph shown, the temperature increased steadily from January to May.
Reason (R) The line connecting the data points for these months is sloping upward without any significant dips.
Assertion (A) In the line graph shown, the temperature increased steadily from January to May.
Reason (R) The line connecting the data points for these months is sloping upward without any significant dips.
- ✓Both A and R are true and R is the correct explanation of A .
- BBoth A and R are true but R is not the correct explanation of A
- CA is false but R is true.
- DR is false but A is true.
Answer: A.
View full solution →Draw a graph for the following
(i)
Is it a linear graph?
(ii)
Is it a linear graph?
(i)
| Size of Square (in cm ) | 2 | 3 | 15 | 5 | 4 |
| Perimeter (in cm) | 8 | 12 | 14 | 20 | 24 |
(ii)
| Size of Square (in cm ) | 2 | 3 | 4 | 5 | 6 |
| Area (in cm2) | 4 | 9 | 16 | 25 | 36 |
Can there be a time-temperature graph as follows? Justify your answer.
A courier-person cycles from a town to a neighbouring Suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph
(i) What is the scale taken for the time axis?
(ii) How much time did the person take for the travel?
(iii) How far is the place of the merchant from the town?
(iv) Did the person stop on his way? Explain.
(v) During which period did he ride fastest?
(i) What is the scale taken for the time axis?
(ii) How much time did the person take for the travel?
(iii) How far is the place of the merchant from the town?
(iv) Did the person stop on his way? Explain.
(v) During which period did he ride fastest?
Use the tables below to draw linear graphs.
(i) The number of days a hill side city received snow in different years.
(ii) Population (in thousands) of men and women in a village in different years.
(i) The number of days a hill side city received snow in different years.
| Years | 2003 | 2004 | 2005 | 2006 |
| Days | 8 | 10 | 5 | 12 |
| Years | 2003 | 2004 | 2005 | 2006 | 2007 |
| Number of men | 12 | 12.5 | 13 | 13.2 | 13.5 |
| Number of women | 11.3 | 11.9 | 13 | 13.6 | 12.8 |
The following line graph shows the yearly sales figures for a manufacturing company.
(i) What were the sales in (a) 2002 (b) 2006?
(ii) What were the sales in (a) 2003 (b) 2005?
(iii) Compute the difference between the sales in 2002 and 2006.
(iv) In which year was there the greatest difference between the sales as compared to its previous year?
(i) What were the sales in (a) 2002 (b) 2006?
(ii) What were the sales in (a) 2003 (b) 2005?
(iii) Compute the difference between the sales in 2002 and 2006.
(iv) In which year was there the greatest difference between the sales as compared to its previous year?
Draw the graphs for the following tables of values, with suitable scales on the axes.
(i) Cost of apples
(ii) Distance travelled by a car
(a) How much distance did the car cover during the period 7:30 am to 8 am?
(b) What was the time when the car had covered a distance of 100 km , since it's start?
(iii) Interest on deposits for a year.
(a) Does the graph pass through the origin?
(b) Use the graph to find the interest on ₹ 2500 for a year.
(c) To get an interest of ₹ 280 per year, how much money should be deposited?
(i) Cost of apples
| Number of apples | 1 | 2 | 3 | 4 | 5 |
| Cost (in ₹) | 5 | 10 | 15 | 20 | 25 |
| Time (in h) | 6 am | 7 am | 8 am | 9 am |
| Distances (in km) | 40 | 80 | 120 | 160 |
(b) What was the time when the car had covered a distance of 100 km , since it's start?
(iii) Interest on deposits for a year.
| Deposit (in ₹) | 1000 | 2000 | 3000 | 4000 | 5000 |
| Simple interest (in ₹) | 80 | 160 | 240 | 320 | 400 |
(b) Use the graph to find the interest on ₹ 2500 for a year.
(c) To get an interest of ₹ 280 per year, how much money should be deposited?
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph:
(i) How high was plant A after (a) 2 weeks (b) 3 weeks?
(il) How high was plant Bafter (a) 2 weeks (b) 3 weeks?
(ill) How much did plant A grow during the 3rd week?
(iv) How much did plant B grow from the end of the 2nd week to the end of the 3rd week?
(v) During which week did plant A grow most?
(vi) During which week did plant B grow least?
(vii) Were the two plants of the same height during any week shown here? Specify.
(i) How high was plant A after (a) 2 weeks (b) 3 weeks?
(il) How high was plant Bafter (a) 2 weeks (b) 3 weeks?
(ill) How much did plant A grow during the 3rd week?
(iv) How much did plant B grow from the end of the 2nd week to the end of the 3rd week?
(v) During which week did plant A grow most?
(vi) During which week did plant B grow least?
(vii) Were the two plants of the same height during any week shown here? Specify.
Draw the line graph using suitable scale to show the annual gross profit of a company for a period of five years.
| Year | 1st | 2nd | 3rd | 4th | 5th |
| Gross Profit (in ₹) | 1700000 | 1550000 | 1140000 | 1210000 | 1490000 |
Make a line graph for the area of a square as per the given table.
Is it a linear graph?
| Side (in cm) | 1 | 2 | 3 | 4 |
| Area (in cm2) | 1 | 4 | 9 | 16 |
If y-coordinate is 3 times x-coordinate, form a table for it and draw a graph.
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 $A B C D$
View full solution →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?
View full solution →(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?
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?
View full solution →(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?
Study the given graphs (i) and (ii) and complete the corresponding tables below.
(i)
(ii)
View full solution →(i)
| $x$ | 0 | 1 | 2 | 3 |
| $y$ |
| $x$ | 0 | 1 | 2 | 3 | 4 |
| $y$ |
The following chart gives the growth in height
(in terms of percentage) of boys and girls with their respective ages:
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)?
(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% |
(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)?
The graph given below, shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.
(i) What information is represented by the axes?
(ii) In which subject did she score the highest in test I?
(iii) In which subject did she score the least in test II?
(iv) In which subjects did she score the same marks in both the tests?
(i) What information is represented by the axes?
(ii) In which subject did she score the highest in test I?
(iii) In which subject did she score the least in test II?
(iv) In which subjects did she score the same marks in both the tests?
The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions.
(i) What type of graph is this?
(ii) What information does the graph give?
(iii) What is the busiest time of day at the shop?
(iv) How many people enter the shop when it opens
(i) What type of graph is this?
(ii) What information does the graph give?
(iii) What is the busiest time of day at the shop?
(iv) How many people enter the shop when it opens
View full solution →
From the given graph, choose the letters that indicate the location of the points given below
(i) $(2,0)$ $\qquad$ (ii) $(0,4)$ $\qquad$ (iii) $(5,1)$
(iv) $(2,6)$ $\qquad$ (v) $(3,3)$
View full solution →(i) $(2,0)$ $\qquad$ (ii) $(0,4)$ $\qquad$ (iii) $(5,1)$
(iv) $(2,6)$ $\qquad$ (v) $(3,3)$
Plot the given points on a graph sheet and check, if the points lie on a straight line if not, name the shape they form when joined in the given order
$(1,1),(1,2),(2,2)$ and $(2,1)$.
View full solution →$(1,1),(1,2),(2,2)$ and $(2,1)$.
The following graph shows the relation between distance and time (distance-time graph). Find the distance covered in 3 s.
Plot the given points on a graph sheet and check, if the points, lie on a straight line. If not, name the shape they form when joined in the given order
$ (1,2),(2,4),(3,6),(4,8) .$
View full solution →$ (1,2),(2,4),(3,6),(4,8) .$
Write the $y$-coordinate (ordinate) of each of the given points.
(i) $(3,5)$ $\qquad$ (iii) $(4,0)$ $\qquad$ (iii) $(2,7)$
View full solution →(i) $(3,5)$ $\qquad$ (iii) $(4,0)$ $\qquad$ (iii) $(2,7)$
For the point (5,2) the distance from the X-axis is ___________ units.
All points with y-coordinate as zero lie on the ___________
The distance of any point from the Y-axis is the ___________ coordinate.
process of fixing a point with the help of the coordinates is known as ___________ of the point.
The horizontal and vertical line in a line graph are usually called ___________ and ___________
The following graph shows the temperature forecast and the actual temperature for each day of a week.
(i) On which days was the forecast temperature the same as the actual temperature?
(ii) What was the maximum forecast temperature during the week?
(iii) What was the minimum actual temperature during the week?
(iv) On which day did the actual temperature differ the most from the forecast temperature?
(i) On which days was the forecast temperature the same as the actual temperature?
(ii) What was the maximum forecast temperature during the week?
(iii) What was the minimum actual temperature during the week?
(iv) On which day did the actual temperature differ the most from the forecast temperature?
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