List of top Questions asked in Maharashtra Class X Board

Complete the following concept map/chart :
Complete the concept map:

Complete the concept map:

Louvre Museum has in its collection the much acclaimed painting of .................... by Leonardo da Vinci.

A survey was conducted for 180 people in a city. 70 ate Pizza, 60 ate Burgers, and 50 ate Chips. Draw a pie diagram for the given information.

Show the following data by a frequency polygon:

Electricity Bill (₹)	Families (f)
200 - 400	240
400 - 600	300
600 - 800	450
800 - 1000	350
1000 - 1200	160

The frequency distribution table shows the number of mango trees in a grove and their yield of mangoes. Find the median of the data:

No. of Mangoes	No. of Trees (f)
50 – 100	33
100 – 150	30
150 – 200	90
200 – 250	80
250 – 300	17

Solve the following simultaneous equations using Cramer’s Rule: \[ 4m + 6n = 54 \quad \text{and} \quad 3m + 2n = 28 \]

Fill in the boxes with the help of given information:

Tax invoice of services provided (Sample)
Food Junction, Khed-Shivapur, Pune
Invoice Date: 25 Feb., 2020

SAC	Food Items	Qty	Rate (₹)	Taxable Amount (₹)	CGST	SGST	Amount (₹)
9963	Coffee	1	20	20.00	2.5% = 0.50	2.5% = 0.50	21.00
9963	Masala Tea	1	10	10.00	2.5% = 0.25	2.5% = 0.25	10.50
9963	Masala Dosa	2	60	120.00	2.5% = 3.00	2.5% = 3.00	126.00
Total				150.00
Grand Total							₹157.50

Form a ‘Road Safety Committee’ of two, from 2 boys (B₁, B₂) and 2 girls (G₁, G₂). Complete the activity to write the sample space:

Observe the following table and find the Mean:

A courier service agent charged ₹590 to courier a parcel from Nashik to Nagpur. In the tax invoice, the taxable value is ₹500 on which CGST = ₹45 and SGST = ₹45. Find the rate of GST charged for this service.

Complete the following table using the given information:

Sr. No.	FV (₹)	Share is at	MV (₹)
1	100	Par	100
2	75	Premium ₹500	575
3	10	Discount ₹5	5
4	200	Discount ₹50	150

Complete the following activity to determine the nature of the roots of the quadratic equation $x^2 + 2x - 9 = 0$:

Complete the following activity and find the value of x:

5x + 3y = 9 ...(I)
2x − 3y = 12 ...(II)

Find the value of the following determinant:

| 4 3 |
| 2 7 |

Solution:
Determinant = (4 × 7) − (3 × 2) = 28 − 6 = 22

Final Answer: 22

If $n(A) = 2$, $P(A) = \frac{1}{5}$, then find $n(S) = ?$

A circle touches side $BC$ at point $P$ of $\triangle ABC$, from outside of the triangle. Further extended lines $AC$ and $AB$ are tangents to the circle at $N$ and $M$ respectively. Prove that:
\[ AM = \frac{1}{2} (\text{Perimeter of } \triangle ABC) \]

$\triangle SHR \sim \triangle SVU$. In $\triangle SHR$, $SH = 4.5$ cm, $HR = 5.2$ cm, and $SR = 5.8$ cm. If $\dfrac{SH}{SV} = \dfrac{3}{5}$, construct $\triangle SVU$.

Prove that, “Angles inscribed in the same arc are congruent.”

Find the co-ordinates of point P where P is the midpoint of a line segment AB with A($-4$, 2) and B(6, 2).

In $\triangle PQR$, seg $PM$ is a median. Angle bisectors of $\angle PMQ$ and $\angle PMR$ intersect sides $PQ$ and $PR$ in points $X$ and $Y$ respectively. Prove that $XY \parallel QR$.

In the given figure, points G, D, E, F are points on a circle with centre C. If $\angle ECF = 70^\circ$ and $m(\text{arc } DGF) = 200^\circ$, find:
(i) $m(\text{arc } DE)$
(ii) $m(\text{arc } DEF)$

In trapezium $ABCD$, side $AB \parallel PQ \parallel DC$. If $AP = 3$, $PD = 12$, and $QC = 14$, find $BQ$.

In the figure below, $\angle L = 35^\circ$. Find:
(i) $m(\text{arc } MN)$
(ii) $m(\text{arc } MLN)$

If $\triangle ABC \sim \triangle PQR$ and $\dfrac{A(\triangle ABC)}{A(\triangle PQR)} = \dfrac{16}{25}$, then find $AB : PQ$.