Introduction to Graphs quiz

The x-coordinate of the point (7, 2) is:

Which of the following points lies on the y-axis?

The coordinates of the origin are:

The most suitable graph to show the change in temperature of a city during a day is a:

A linear graph is:

The point (5, 0) lies:

To compare the parts of a whole, the most suitable graph is a:

In a distance-time graph, distance is usually shown on the:

The points (1, 2), (2, 4) and (3, 6) lie on a line on which:

A horizontal part in the distance-time graph of a moving bus shows that the bus is:

Write the coordinates of a point that is 4 units along the x-axis and 6 units along the y-axis. Is it the same as the point (6, 4)? Explain. (2 marks)

Give one use each of a bar graph, a pie chart and a line graph. (2 marks)

Are the points (3, 0) and (0, 3) the same? On which axis does each lie? (2 marks)

A point lies on the x-axis at a distance of 6 units from the origin, on the right side. Write its coordinates and explain your answer. (2 marks)

One pen costs Rs 10. Write the ordered pairs (number of pens, cost) for 1, 2, 3 and 4 pens. (2 marks)

In the graph of simple interest against time for a fixed principal and rate, which is the independent variable and which is the dependent variable? (2 marks)

Why does the graph of the perimeter of a square against its side give a straight line, while the graph of area against side does not? (2 marks)

The distance-time graph of a car passes through the points (2, 100) and (4, 200), where time is in hours and distance in km. Find the speed of the car. (2 marks)

Name the figure obtained by joining (0, 0), (4, 0), (4, 4) and (0, 4) in order, and find its area. (2 marks)

In a graph showing monthly rainfall for a year, which variable is shown on the x-axis and which on the y-axis? Give a reason. (2 marks)

A taxi charges a fixed amount of Rs 30 plus Rs 15 per km. Find the fare for 2 km, 4 km and 6 km. Will the graph of fare against distance be a straight line? Will it pass through the origin? (3 marks)

A train moves at a uniform speed of 60 km/h. Write ordered pairs (time, distance) for 1, 2 and 3 hours. Find the distance covered in 1.5 hours and the time taken to cover 150 km. (3 marks)

The vertices of a rectangle are (1, 1), (6, 1), (6, 4) and (1, 4). Find its length, breadth, perimeter and area. (3 marks)

The simple interest on different principals at 8% per annum for 2 years is to be plotted. Find the interest on Rs 500, Rs 1,000 and Rs 1,500. What principal will give an interest of Rs 200? (3 marks)

A tank contains 600 litres of water. A pump removes 50 litres per minute. Find the water left after 2, 4 and 6 minutes, and the time in which the tank becomes empty. (3 marks)

Read the passage and answer the questions. The annual sales of a sports shop were: 2021: Rs 4 lakh, 2022: Rs 6 lakh, 2023: Rs 5 lakh, 2024: Rs 8 lakh, 2025: Rs 9 lakh. The owner drew a line graph of these sales. (i) In which year were the sales the highest? (ii) In which year did the sales fall compared with the year before? (iii) Find the percentage increase in sales from 2023 to 2024. (5 marks)

Read the passage and answer the questions. A student measured the height of a plant at the end of each week: week 1: 2 cm, week 2: 4 cm, week 3: 7 cm, week 4: 9 cm, week 5: 10 cm, and drew a line graph. (i) What was the height of the plant at the end of week 3? (ii) During which week did the plant grow the most? (iii) Find the total growth from week 1 to week 5 and the average growth per week in this period. (5 marks)

Read the passage and answer the questions. Raju starts walking from his house to a fair at 4 km/h. One hour later his sister Rani starts cycling along the same road from the house at 12 km/h. Their teacher asks them to draw both distance-time graphs on the same axes. (i) How far has Raju walked after 1, 2 and 3 hours? (ii) How far has Rani cycled 2 hours and 3 hours after Raju started? (iii) After how much time from Raju's start, and at what distance from the house, does Rani catch up with Raju? (5 marks)

Read the passage and answer the questions. An electricity company charges a fixed amount of Rs 100 per month plus Rs 6 for each unit of electricity used. (i) Find the bill for a month in which 50 units are used. (ii) How many units were used if the bill is Rs 700? (iii) Will the graph of the bill against units pass through the origin? Explain. (5 marks)

Read the passage and answer the questions. On a grid map of a town, the school is at (2, 3), the library is at (6, 3) and the park is at (6, 7). Each unit on the grid represents 100 m and roads run only along the grid lines. (i) Find the distance from the school to the library along the road. (ii) Find the shortest road distance from the school to the park through the library, in metres. (iii) Write the coordinates of a fourth point that would make these four points the corners of a square. (5 marks)

A notebook costs Rs 15. Write the cost of 1, 2, 3, 4 and 5 notebooks and draw the graph of number of notebooks against cost. From the graph, find the number of notebooks that can be bought for Rs 60. Explain why the graph is linear and why it passes through the origin. (6 marks)

The number of visitors to a museum during a week was: Monday 120, Tuesday 150, Wednesday 90, Thursday 180, Friday 210, Saturday 300, Sunday 270. Draw a line graph. Find the day with the most visitors, the day with the fewest, the greatest rise between two consecutive days, and describe the overall trend. (6 marks)

A bus leaves a town at 6 am and travels at 40 km/h for 2 hours, halts for 1 hour, and then travels at 60 km/h for 2 hours. Write its distance from the town at every hour from 6 am to 11 am and draw the distance-time graph. Find the total distance and the average speed for the whole time, and explain what the flat part of the graph shows. (6 marks)

Explain how the position of a point is fixed using two perpendicular axes and an ordered pair. Plot the points A(1, 1), B(5, 1), C(6, 4) and D(2, 4) and join them in order. Name the figure and find its area, taking AB as the base. (6 marks)

A sum of Rs 2,000 is lent at 5% per annum simple interest. Find the interest for 1, 2, 3, 4 and 5 years and draw the graph of time against interest. From the graph, find the interest for 3.5 years and the time after which the interest becomes Rs 450. Explain why the graph is linear. (6 marks)