Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

Consider this input/output table.

1. Graph the values from the table by taking Input along horizontal axis from 0 to 8 and Output along vertical axis from 0 to 24.
2. Use your graph to predict the outputs for inputs of 3 and 8.

This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.

Point A represents a resort that is located 5 km East and 3 km North of Point B. The values 5 and 3 are the coordinates of Point A. The coordinates can be given as the ordered pair (5, 3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.

(i) On a copy of the map, mark the point that is 3 km East and 5 km North of Point B and label it S. Is Point S in the water or on the island? Is Point S in the same place as Point A?

(ii) Mark the point that is 7 km east and 5 km north of Point B and label it C. Then mark the point that is 5 km east and 7 km north of Point B and label it D. Are Points C and D in the same place? Give the coordinates of Points C and D.

(iii) Which point is in the water, (2, 7) or (7, 2)? Mark the point which is in water on your map and label it E.

(iv) Give the coordinates of two points on the island that are exactly 2 km from Point A.

(v) Give the coordinates of the point that is halfway between Points L and P.

(vi) List three points on the island with their x-coordinates greater than 8.

(vii) List three points on the island with a y-coordinate less than 4.

The graph given below compares the price (in Rs) and weight of 6 bags (in kg) of sugar of different brands A, B, C, D, E, F.

1. Which brand(s) costs/cost more than Brand D?
2. Bag of which brand of sugar is the heaviest?
3. Which brands weigh the same?
4. Which brands are heavier than brand B?
5. Which bag is the lightest?
6. Which bags are of the same price?

The points on the graph below represent the height and weight of the donkey, dog, crocodile, and ostrich shown in the drawing.

1. What are the two variables represented in the graph?
2. Which point represents each animals? Explain.

The two graphs below compare Car A and Car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.

Use the graphs to determine whether each statement is true or false, and explain your answer.

1. The older car is less valuable.
2. The faster car is larger.
3. The larger car is older.
4. The faster car is older.
5. The more valuable car is slower.

Sonal and Anmol made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.

(a) Copy and complete the table

(b) Draw a graph using the first five pairs of numbers in your table.

(c) Do the points lie on a line?

Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.

(a) Complete the table.

(b) Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put the number of rows on the horizontal axis.

(c) Which graph is linear?

All kites are rhombuses.

Solve the linear equation:

`x/2 - 1/5 = x/3 + 1/4`

Solve the linear equation:

`n/2 - (3n)/4 + (5n)/6 = 21`

Solve the linear equation:

`x + 7 -  (8x)/3 = 17/6 - (5x)/2`

Solve the linear equation:

`(x - 5)/3 = (x - 3)/5`

Solve the linear equation:

`(3t - 2)/4 - (2t + 3)/3 = 2/3 - t`

Solve the linear equation:

`m - (m -1)/2 = 1 - (m - 2)/3`

Simplify and solve the linear equation:

`3(t - 3) = 5(2t + 1)`

Simplify and solve the linear equation:  

15(y - 4) - 2(y - 9) + 5(y + 6) = 0 

Simplify and solve the linear equation:

3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17

Simplify and solve the linear equation: 

0.25(4f – 3) = 0.05(10f – 9)

Given a parallelogram ABCD. Complete each statement along with the definition or property used.

1. AD = ______
2. ∠DCB = ______
3. OC = ______
4. m∠DAB + m∠CDA = ______

Consider the given parallelogram. Find the values of the unknowns x, y, z.