Mental Maths Questions and Answers: Introduction to Graphs | Mental Mathematics for Class 8 PDF Download

 Page 1


  
 
QUESTIONS 
1. Where does the point (8, 0) lie? 
2. Where does the point (0, 9) lie? 
3. What is abscissa of the point (3, 4)? 
4. What is the ordinate of the point (6, 7)? 
5. What are the coordinates of the origin? 
6. What is the perpendicular distance of the point (7, 8) from x-axis? 
7. What is the perpendicular distance of the point (4, 5) from y-axis? 
8. What is the shortest distance of the point (6, 8) from origin? 
9. What is the shortest distance of the point (7, 0) from origin? 
10. What is the shortest distance of the point (0, 8) from origin? 
11. What is the shortest distance between the points (14, 3) and (9, 3)? 
12. What is the distance of the point (3, 4) from origin? 
13. Find the distance between two points P(4, 0) and Q(9, 0). 
14. Find the distance between two points A(0, 3) and B(0, -9). 
15. What are the coordinates of the points for which x=0 and y=x+2? 
16. What are the coordinates of the points for which y=0 and y=x+2? 
17. To which axis will the line joining the points having x-coordinate constant will be 
parallel? 
18. To which axis will the line joining the points having y-coordinate constant will be 
parallel? 
19. Name the point where two axes intersect? 
For Question no. 20 to 31, see the Graph_1 
 
 
Page 2


  
 
QUESTIONS 
1. Where does the point (8, 0) lie? 
2. Where does the point (0, 9) lie? 
3. What is abscissa of the point (3, 4)? 
4. What is the ordinate of the point (6, 7)? 
5. What are the coordinates of the origin? 
6. What is the perpendicular distance of the point (7, 8) from x-axis? 
7. What is the perpendicular distance of the point (4, 5) from y-axis? 
8. What is the shortest distance of the point (6, 8) from origin? 
9. What is the shortest distance of the point (7, 0) from origin? 
10. What is the shortest distance of the point (0, 8) from origin? 
11. What is the shortest distance between the points (14, 3) and (9, 3)? 
12. What is the distance of the point (3, 4) from origin? 
13. Find the distance between two points P(4, 0) and Q(9, 0). 
14. Find the distance between two points A(0, 3) and B(0, -9). 
15. What are the coordinates of the points for which x=0 and y=x+2? 
16. What are the coordinates of the points for which y=0 and y=x+2? 
17. To which axis will the line joining the points having x-coordinate constant will be 
parallel? 
18. To which axis will the line joining the points having y-coordinate constant will be 
parallel? 
19. Name the point where two axes intersect? 
For Question no. 20 to 31, see the Graph_1 
 
 
  
 
20. What are the coordinates of points A and B? 
21. Which type of the quadrilateral KLMN is? 
22. What are the coordinates of K, L, M and N? 
23. What type of quadrilateral PQRS is? 
24. What are the coordinates of the vertices of quadrilateral PQRS? 
25. What is the area of quadrilateral KLMN? 
26. What type of ?HIJ is? 
27. What is the length of side IJ of ?HIJ? 
28. What is the area of ?HIJ? 
29. What are the coordinates of point C and D? 
30. What is the length of the shorter side of the quadrilateral PQRS? 
31. What is the distance between the points C and N? 
For question 32 to 40, see the Graph_2 
 
 
32. For what period of time does the graph show the temperature? 
33. The temperature in the beginning of the week was rising or falling? 
34. What is the average temperature of fourth and fifth days? 
35. What is the difference between the highest and lowest temperature? 
36. After which day temperature fell down drastically? 
37. Between which days was the change in temperature minimum? 
38. Between which days was the change in temperature maximum? 
39. What is the temperature on second day? 
40. On which days temperature is 25
o
 Celsius? 
Page 3


  
 
QUESTIONS 
1. Where does the point (8, 0) lie? 
2. Where does the point (0, 9) lie? 
3. What is abscissa of the point (3, 4)? 
4. What is the ordinate of the point (6, 7)? 
5. What are the coordinates of the origin? 
6. What is the perpendicular distance of the point (7, 8) from x-axis? 
7. What is the perpendicular distance of the point (4, 5) from y-axis? 
8. What is the shortest distance of the point (6, 8) from origin? 
9. What is the shortest distance of the point (7, 0) from origin? 
10. What is the shortest distance of the point (0, 8) from origin? 
11. What is the shortest distance between the points (14, 3) and (9, 3)? 
12. What is the distance of the point (3, 4) from origin? 
13. Find the distance between two points P(4, 0) and Q(9, 0). 
14. Find the distance between two points A(0, 3) and B(0, -9). 
15. What are the coordinates of the points for which x=0 and y=x+2? 
16. What are the coordinates of the points for which y=0 and y=x+2? 
17. To which axis will the line joining the points having x-coordinate constant will be 
parallel? 
18. To which axis will the line joining the points having y-coordinate constant will be 
parallel? 
19. Name the point where two axes intersect? 
For Question no. 20 to 31, see the Graph_1 
 
 
  
 
20. What are the coordinates of points A and B? 
21. Which type of the quadrilateral KLMN is? 
22. What are the coordinates of K, L, M and N? 
23. What type of quadrilateral PQRS is? 
24. What are the coordinates of the vertices of quadrilateral PQRS? 
25. What is the area of quadrilateral KLMN? 
26. What type of ?HIJ is? 
27. What is the length of side IJ of ?HIJ? 
28. What is the area of ?HIJ? 
29. What are the coordinates of point C and D? 
30. What is the length of the shorter side of the quadrilateral PQRS? 
31. What is the distance between the points C and N? 
For question 32 to 40, see the Graph_2 
 
 
32. For what period of time does the graph show the temperature? 
33. The temperature in the beginning of the week was rising or falling? 
34. What is the average temperature of fourth and fifth days? 
35. What is the difference between the highest and lowest temperature? 
36. After which day temperature fell down drastically? 
37. Between which days was the change in temperature minimum? 
38. Between which days was the change in temperature maximum? 
39. What is the temperature on second day? 
40. On which days temperature is 25
o
 Celsius? 
  
 
For question 41 to 48, see the Graph_3 
 
41. What is represented on x-axis? 
42. What is shown on y-axis? 
43. From where and when the journey begins? 
44. What is the distance covered in first hour? 
45. How much distance is covered in first 4 hours? 
46. At what time the distance of 200km was covered? 
47. At what time the driver take a break? 
48. When the journey ends and car reached city B? 
49. On joining points x(0, 0), y(3, 0) and z(0, 3),which figure will you get? 
50. On joining points A(3, 3), B(4, 4), C(5, 5) and D(6, 6),which figure will you get? 
 
 
 
 
 
  
Page 4


  
 
QUESTIONS 
1. Where does the point (8, 0) lie? 
2. Where does the point (0, 9) lie? 
3. What is abscissa of the point (3, 4)? 
4. What is the ordinate of the point (6, 7)? 
5. What are the coordinates of the origin? 
6. What is the perpendicular distance of the point (7, 8) from x-axis? 
7. What is the perpendicular distance of the point (4, 5) from y-axis? 
8. What is the shortest distance of the point (6, 8) from origin? 
9. What is the shortest distance of the point (7, 0) from origin? 
10. What is the shortest distance of the point (0, 8) from origin? 
11. What is the shortest distance between the points (14, 3) and (9, 3)? 
12. What is the distance of the point (3, 4) from origin? 
13. Find the distance between two points P(4, 0) and Q(9, 0). 
14. Find the distance between two points A(0, 3) and B(0, -9). 
15. What are the coordinates of the points for which x=0 and y=x+2? 
16. What are the coordinates of the points for which y=0 and y=x+2? 
17. To which axis will the line joining the points having x-coordinate constant will be 
parallel? 
18. To which axis will the line joining the points having y-coordinate constant will be 
parallel? 
19. Name the point where two axes intersect? 
For Question no. 20 to 31, see the Graph_1 
 
 
  
 
20. What are the coordinates of points A and B? 
21. Which type of the quadrilateral KLMN is? 
22. What are the coordinates of K, L, M and N? 
23. What type of quadrilateral PQRS is? 
24. What are the coordinates of the vertices of quadrilateral PQRS? 
25. What is the area of quadrilateral KLMN? 
26. What type of ?HIJ is? 
27. What is the length of side IJ of ?HIJ? 
28. What is the area of ?HIJ? 
29. What are the coordinates of point C and D? 
30. What is the length of the shorter side of the quadrilateral PQRS? 
31. What is the distance between the points C and N? 
For question 32 to 40, see the Graph_2 
 
 
32. For what period of time does the graph show the temperature? 
33. The temperature in the beginning of the week was rising or falling? 
34. What is the average temperature of fourth and fifth days? 
35. What is the difference between the highest and lowest temperature? 
36. After which day temperature fell down drastically? 
37. Between which days was the change in temperature minimum? 
38. Between which days was the change in temperature maximum? 
39. What is the temperature on second day? 
40. On which days temperature is 25
o
 Celsius? 
  
 
For question 41 to 48, see the Graph_3 
 
41. What is represented on x-axis? 
42. What is shown on y-axis? 
43. From where and when the journey begins? 
44. What is the distance covered in first hour? 
45. How much distance is covered in first 4 hours? 
46. At what time the distance of 200km was covered? 
47. At what time the driver take a break? 
48. When the journey ends and car reached city B? 
49. On joining points x(0, 0), y(3, 0) and z(0, 3),which figure will you get? 
50. On joining points A(3, 3), B(4, 4), C(5, 5) and D(6, 6),which figure will you get? 
 
 
 
 
 
  
  
 
ANSWERS 
Question No. Answer Question No. Answer 
1.  On X-axis 26.  
Isosceles right angled 
triangle 
2.  On Y-axis 27.  4 units 
3.  3 28.  8 sq. units 
4.  7 29.  C(2, 3) D(-4,-3) 
5.  (0, 0) 30.  4 units 
6.  8 units 31.  4 units 
7.  4 units 32.  One week 
8.  10 units 33.  Rising 
9.  7 units 34.  35
o
C 
10.  8 units 35.  25
o
C 
11.  5 units 36.  After 5
th
 day 
12.  5 units 37.  
Between 2
nd
 and 3
rd
 
day 
13.  5 units 38.  Between 5
th
 and 6
th
 day 
14.  12 units 39.  22.5
o
C 
15.  (0, 2) 40.  3
rd
 and 6
th
 day 
16.  (-2, 0) 41.  Time (in hours) 
17.  y-axis 42.  Distance (in Km) 
18.  x-axis 43.  
From city A at 6 
am. 
19.  origin 44.  50 Km 
20.  A(2, 0), B(0, 3) 45.  150 Km 
21.  Square 46.  
In 5 hours, at 11 
am. 
22.  
K(2, -3), L(4, -3),  
M(4, -1), N(2, -1) 
47.  9 am to 10 am 
23.  Parallelogram 48.  At 3 pm 
24.  
P(-6, -2), Q(-2, -2), 
R(2, 2), S(-2, 2) 
49.  
Isosceles right 
angled triangle 
25.  4 sq. units 50.  Straight line