Grade 10 Math Notes

Grade 10 math notes:

In this article we are going to discuss about find grade 10 math notes problem solving. Grade 10 math notes problems are easy to understand and solve. Grade 10 math notes problems involve basic solving problems. Those arithmetic problems involve biggest numbers. The following topics are studied in the 10 grade,

Number systems
Measurements
Algebra
Geometry
Algebraic geometry
Trigonometry
Handling data
The grade 10 math notes solving problems are given below.

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Example problems for grade 10 math notes:


Example 1:

If office managers fixed in the pay scale 3200 – 85 – 4900, when will he reach his maximum?

Solution:

Pay scale: 3200 – 85 – 4900

Starting salary = $ 3200= a, Annual increment = $85 = d,

Maximum salary = $4900 = tn

tn = a + (n – 1)d = 4900 = 3200+(n-1) 85

n – 1 = 1700/85 = 20

n =20+1 = 21

The manager will reach his maximum in his 21st year of service.

Example 2:

Find the sum of the first 11 terms of the A.P 3, 8, 13…

Solution:

Given A.P = 3, 8, 13…..

Hear a = 3, d = 8 – 3 = 5, n = 11, sn = `n/2` {2a + (n-1) d}

=` 11/2` {(2*3) + (11 – 1)5}

= `11/2` {6+50}

= `11/2` * 56

= 308

The sum of the first 11 terms of the given A.P is 308.

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Example 3:


Find the intercepts through by the straight line 3x – 2y – 6 = 0 on the axes of coordinates

Solution:

Straight line equation is 3x – 2y = 6

Dividing 6 on the equation (to get 1 in the RHS) `(3x)/6` – `(2y)/6` = 1

The equation can be rewritten as `x/2` +`y/-3` = 1 and comparing with the equation `x/a` +`y/b` =1

We get x intercept =2. Y-intercept = -3

Example 4:

Find the common different and the next three terms of the A.P. 1, 4, 7,…

Solution:

The common difference = 4 – 1 = 3

The next three terms are 7+3 = 10, 10+3 = 13, 13+3 =16

Example 5:

Solve 7x+8= 4x+5

Solution:

Given expression 7x+8 = 4x+5

Subtract 18 on both sides of the equation

7x +18 -18 = 4x+5 -18

7x = 4x – 13

Subtract 4x on both sides of the equation

7x – 4x = 4x – 4x -13

3x = -13

Divide 3 on both sides of the equation

`(3x)/3` = `13/-3`

x = `-13/3`

Solution is x = `-13/3`