When preparing for the MP Board 10th examination, focusing on important questions can be helpful, but it's also essential to cover the entire syllabus comprehensively. Here are some topics and types of questions that are generally considered important and frequently appear in exams:

### Mathematics:

**Algebra:**- Solving linear equations
- Factorization
- Quadratic equations and their solutions

**Geometry:**- Properties of triangles, circles, and quadrilaterals
- Theorems related to triangles and circles (e.g., Pythagoras theorem, circle theorems)

**Trigonometry:**- Trigonometric ratios (sine, cosine, tangent)
- Trigonometric identities and their applications

**Statistics and Probability:**- Mean, median, mode
- Probability problems involving coins, dice, cards

**Arithmetic:**- Percentage, profit and loss, simple interest
- Ratio and proportion

**Question:**
Solve the equation: $2x+3=11$.

**Answer:**
$2x+3=11$
Subtract 3 from both sides:
$2x=8$
Divide both sides by 2:
$x=4$

**Question:**Find the perimeter of a rectangle with length 8 cm and width 5 cm.

**Answer:**
Perimeter $P=2\times (\text{length}+\text{width})$
$P=2\times (8+5)$
$P=2\times 13$
$P=26$ cm

**Question:**Simplify: $\frac{5}{8}+\frac{3}{4}$.

**Answer:**
To add these fractions, find a common denominator:
$\frac{5}{8}+\frac{3}{4}=\frac{5\times 4}{8\times 4}+\frac{3\times 2}{4\times 2}$
$=\frac{20}{32}+\frac{6}{32}$
$=\frac{26}{32}$
Simplify the fraction $\frac{26}{32}$:
$=\frac{13}{16}$

**Question:**Find the area of a triangle with base 6 cm and height 8 cm.

**Answer:**
Area $A=\frac{1}{2}\times \text{base}\times \text{height}$
$A=\frac{1}{2}\times 6\times 8$
$A=\frac{1}{2}\times 48$
$A=24$ square cm

**Question:**Solve for $x$ in the equation: $3(x-4)=15$.

**Answer:**
$3(x-4)=15$
Divide both sides by 3:
$x-4=5$
Add 4 to both sides:
$x=9$

**Question:**Find the circumference of a circle with diameter 14 cm. (Take $\pi =\frac{22}{7}$)

**Answer:**
Circumference $C=\pi \times \text{diameter}$
$C=\frac{22}{7}\times 14$
$C=\frac{22\times 14}{7}$
$C=44$ cm

## Post a Comment

## Post a Comment