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Published on: 11/10/2019
Algebra
Download Tamil Nadu 8th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Relation between Time and Distance:
A train runs constantly at a speed of 80km/hr. Draw a time – distance graph for this situation. Also find the
(i) time – taken to cover 240 km.
(ii) distance covered in 5 ½ hours.
2.
Relation between Quantity and Cost
The following table gives the quantity of milk and its cost.
| Quantity of milk | 5 | 10 | 15 | 20 |
| Cost of milk | 150 | 300 | 450 | 600 |
Plot the graph.
3.
Solve \(\frac { 4y }{ 3 } -7=\frac { 2 }{ 5 } y\)
4.
Solve the equation: x − 7 = 6
5.
7 is added to a given number to give 19.
6.
_________ coordinates are the same for a line parallel to Y-axis.
7.
(0, −5) point lies on ________axis.
8.
The coordinates of the point in third quadrant are always__________.
9.
If a and b are positive integers then the solution of the equation ax = b has to be always_______.
10.
The linear equation in one variable has -------------------- solution.
11.
The value of m in the equation 8m = 56 is--------------------.
12.
The value of x in the equation x + 5 = 12 is _____________
13.
y = −9 x not passes through the origin.
14.
(−10,20) lies in the second quadrant
15.
Sum of a number and two times that number is 48o can be written as y + 2y = 48
16.
The shifting of a number from one side of an equation to other is called transposition.
17.
\(\frac { 4 }{ 11 } \)- x = \(\frac { -7 }{ 11 } \)
18.
7x – 4 – 8x = 20
19.
2x – 5 = 3 – x
20.
20 = 6x – 4
21.
\(\frac { x }{ 2 } \) = 10
22.
The product of LCM and HCF of two numbers is 24. If one of the number is 6, then the other number is ________.
6
2
4
8
23.
What sum of money will earn Rs.500 as simple interest in 1 year at 5% per annum?
50000
30000
10000
5000
24.
The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.
62°
72°
78°
68°
25.
Sum of a number and its half is 30 then the number is______.
15
20
25
40
26.
(a) \(\frac { x }{ 2 } \) = 10 (i) x = 4
(b) 20 = 6x – 4 (ii) x = 1
(c) 2x – 5 = 3 – x (iii) x = 20
(d) 7x – 4 – 8x = 20 (iv) x = \(\frac { 8 }{ 3 } \)
(e) \(\frac { 4 }{ 11 } \)- x = \(\frac { -7 }{ 11 } \) (v) x = –24
(i), (ii), (iv), (iii), (v)
(iii), (iv), (i), (ii), (v)
(iii), (i), (iv), (v), (ii)
(iii), (i), (v), (iv), (ii)
27.
Find the point of intersection of the line joining points (−3, 7) (2, −4) and (4,6) (−5,−7). Also find the point of intersection of these lines and also their intersection with the axis.
28.
A line passing through (4, −2) and intersects the Y-axis at (0, 2). Find a point on the line in the second quadrant.
29.
If a train runs at 60 km/hr it reaches its destination late by 15 minutes. But, if it runs at 85 kmph it is late by only 4 minutes. Find the distance to be covered by the train.
30.
The denominator of a fraction exceeds its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, we get \(\frac { 3 }{ 2 } \). Find the original fraction.
31.
At present, Thenmozhi’s age is 5 years more than that of Murali’s age. Five years ago, the ratio of Thenmozhi’s age to Murali’s age was 3:2. Find their present ages.
32.
The sum of three consecutive odd numbers is 75. Which is the largest among them?
33.
Find x: (i) – 3(4x + 9) = 21 (ii) 20 – 2 ( 5 – p) = 8 (iii) (7x – 5) – 4(2 + 5x) = 10(2 – x)
34.
The sum of the digits of a two-digit number is 8. If 18 is added to the value of the number, its digits get reversed. Find the number.
35.
A bus is carrying 56 passengers with some people having Rs.8 tickets and the remaining having Rs.10 tickets. If the total money received from these passengers is Rs.500, find the number of passengers with each type of tickets.
1.
Given, the train runs constantly at a speed of 80 km/hr.
i.e For 1 hour = 80 km
2 hours = 2 × 80 = 160 km
3 hours = 3 × 80 = 240 km
| Hour | 1 | 2 | 3 | 4 | 5 |
| Distance | 80 | 160 | 240 | 320 | 400 |
We can tabulate as above, Take a suitable scale
1) Mark the number of hours on the x-axis.
2) Mark the distance inKm on the y-axis.
3) Plot the points (1,80) (2,160) (3,240) (4,320) and (5,400).
4) Join the points and get a straight line3.
5) From the graph.
(i) Time taken to cover 240 km is 3 hrs.
(ii) Th e distance covered in 5 ½ hrs 440 km.
.png)
2.
1. Take a suitable scale on both the axes Here, we take on the x axis
1cm = 5 litres on the, y axis
1cm = 100 rupees.
2. Mark number of litres of milk along the x -axis.
3. Mark the cost of milk along the y-axis.
4. Plot the points (5,150) (10,300) (15,450) (20,600).
5. Join the points.
This graph can help us to estimate few more things also. Suppose we like to find the cost of 25 litres of milk. Mark 25 on the x-axis, follow the line parallel to y-axis through 25 till we meet the drawn line at P. From P we take a horizontal line to meet the y-axis. This meeting point of y-axis is the required answer.
Thus, the cost of 25 litres of milk is Rs.750. This is the graph of linear equation in two quantities, and hence they are in direct variation.
.png)
3.
(Rearranging the like terms)
\(\frac { 4y }{ 3 } -\frac { 2 }{ 5 } =7\)
\(\frac { 20y-6y }{ 15 } =7\)
14y = 7 ×15
y = \(\frac { 7\times 15 }{ 2 } \)
y = \(\frac { 15 }{ 2 } \)
4.
x – 7 = 6
x – 7 + 7 = 6 + 7
x = 13
5.
Let the number be n.
When 7 is added to this number we get n + 7.
This result is to give 19.
Therefore, the equation is n + 7 = 19.
6.
( )
X-Coordinate
7.
( )
y-axis
8.
( )
negative
9.
( )
Positive
10.
( )
One
11.
( )
m = 7
12.
( )
x = 7
13.
(b)
14.
(a)
15.
(a)
16.
(a)
17.
x = 1
18.
x = –24
19.
x= \(\frac { 8 }{ 3 } \)
20.
x = 4
21.
x = 20
22.
(c)
4
23.
(c)
10000
24.
(a)
62°
25.
(b)
20
26.
(c)
(iii), (i), (iv), (v), (ii)
27.
The points of intersection of th lines is (0, 025)
The points of intersection of the lines in X-axis are (0.25,0) and (- 0.25,0)
28.
From the graph, the points (- 2, 4) and (- 3, 5) lie on the line, which is passing through (4, - 2) and (0, 2) in the second quadrant.
29.
64.6km
30.
\(\frac { 13 }{ 21 } \)
31.
Murali’s age is 15 years old, Thenmozhi’s age is 20 years old
32.
27
33.
(i) x = −4
(ii) p = −1
(iii) x = −11
34.
Let the two digit number be xy (i.e., ten’s digit is x, ones digit is y)
Its value can be expressed as 10 x + y.
Given, x + y = 8 which gives y = 8 − x
Therefore its value is 10 x + y
= 10x + 8 − x
= 9x + 8.
The new number is yx with value is 10y + x
= 10(8 − x) + x
= 80 – 9x
Given, when 18 is added to the given number (xy) gives new number (yx)
(9x + 8) + 18 = 80 – 9x
This simplifies to 9x + 9x = 80 – 8 – 18
18x = 54
x = 3 ⇒ y = 8 – 3 = 5
The two digit number is xy = 35
35.
Let the number of passengers having Rs.8 tickets be y. Then, the number of passengers with Rs.10 tickets is (56−y).
Total money received from the passengers = Rs.500
That is, y × Rs.8 + (56 − y) × Rs.10 = 500
8y +560 −10y = 500
8y−10y = 500 − 560
− 2y = − 60
y = \(\frac { 60 }{ 2 } \)
y = 30
Hence, the number of passengers having,
(i) Rs.8 tickets = 30
(ii) Rs.10 tickets = 56−30 = 26
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