Download App

MODEL PAPER 2 (BASIC) Maths - MODEL PAPER 2 (BASIC)

CBSE - STD 10 - Maths (CBSE - English Medium). 44 questions in this chapter.

Question types

MODEL PAPER 2 (BASIC) question types

44 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

44
Questions
6
Question groups
5
Question types
Sample Questions

MODEL PAPER 2 (BASIC) questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 2M.C.Q (1 Marks)1 Mark
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to $1\ cm$ and the height of the cone is equal to its radius. The volume of the solid is
  • ✓
    $\pi \ cm ^3$
  • B
    $4 \pi \ cm^3$
  • C
    $2 \pi \ cm^3$
  • D
    $3 \pi \ cm^3$

Answer: A.

View full solution →
Q 4M.C.Q (1 Marks)1 Mark
One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a black face card?
  • ✓
    $\frac{3}{13}$
  • B
    $\frac{3}{14}$
  • C
    $\frac{3}{26}$
  • D
    $\frac{1}{26}$

Answer: A.

View full solution →
Q 5M.C.Q (1 Marks)1 Mark
Find the area of the sector if the radius is $5 \ cm$ and with an angle of $50^{\circ}$.
  • ✓
    $10.90 \ cm$
  • B
    $12.90 \ cm$
  • C
    $13.90 \ cm$
  • D
    $11.90 \ cm$

Answer: A.

View full solution →
Q 6Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): L.C.M. and H.C.F. of a and 20 are 100 and 10 respectively, then a = 50.
Reason (R): L.C.M $\times$ H.C.F. $=$ First number $\times$ Second number
  • ✓
    Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.

Answer: A.

View full solution →
Q 7Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Distance of point (a, b) from origin is $\sqrt{b^2-a^2}$
Reason (R): Distance of point (x, y) from origin is $\sqrt{(x-0)^2+(y-0)^2}$
  • A
    Both A and R are true and R is the correct explanation of A.
  • ✓
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.

Answer: B.

View full solution →
Q 92 Marks Questions2 Marks
An umbrella has 8 ribs which are equally spaced (see figure). Assuming umbrella to be a flat circle of radius 45 cm, Find the area between the two consecutive ribs of the umbrella.
Image
View full solution →
Q 133 Marks Question3 Marks
Two different dice are rolled together. Find the probability of getting (i) the sum of numbers on two dice to be 5, (ii) even number on both dice, (iii) a doublet.
View full solution →
Q 153 Marks Question3 Marks
Prove that $\frac{\sin \theta-\cos \theta+1}{\sin \theta+\cos \theta-1}=\frac{1}{\sec \theta-\tan \theta}$, using identity $\sec ^2 \theta=1+\tan ^2 \theta$.
View full solution →
Q 163 Marks Question3 Marks
$\text{ABCD}$ is a quadrilateral such that $\angle D=90^{\circ}$. A circle $C (O, r)$ touches the sides $\text{AB, BC, CD}$ and $\text{DA}$ at $\text{P, Q, R}$ and $\text{S}$ respectively. If $\ce{BC = 38 \ cm, CD = 25 \ cm}$ and $\ce{BP = 27 \ cm,}$ Find $r.$
View full solution →
Q 173 Marks Question3 Marks
The sum of a two-digit number and the number obtained by reversing the order of its digits is 165. If the digits differ by 3, find the number.
View full solution →
Q 185 Marks Questions5 Marks
The following table gives the distribution of the life time of $400$ neon lamps:
Lite time $($in hours$)$ Number of lamps
$1500-2000$ $14$
$2000-2500$ $56$
$2500-3000$ $60$
$3000-3500$ $86$
$3500-4000$ $74$
$4000-4500$ $62$
$4500-5000$ $48$
Find the median life time of a lamp.
View full solution →
Q 195 Marks Questions5 Marks
A solid consisting of a right cone standing on a hemisphere is placed upright in a right circular cylinder full of water and touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is $60 \ cm$ and its height is $180 \ cm,$ the radius of the hemisphere is $60 \ cm$ and height of the cone is $120 \ cm,$ assuming that the hemisphere and the cone have common base.
View full solution →
Q 205 Marks Questions5 Marks
A solid is in the shape of a cone surmounted on a hemisphere with both their diameters being equal to $7 \ cm$ and the height of the cone is equal to its radius. Find the volume of the solid.
View full solution →
Q 215 Marks Questions5 Marks
If $BD$ and $QM$ are medians of triangles $\text{ABC}$ and $\text{PQR},$ respectively, where $\triangle ABC \sim \triangle PQR$ prove that $\frac{A B}{P Q}=\frac{B D}{Q M}$.
View full solution →
Q 23Case study (4 Marks)4 Marks
Read the following text carefully and answer the questions that follow:
Two trees are standing on flat ground. The angle of elevation of the top of Both the trees from a point $X$ on the ground is $60^{\circ}$. If the horizontal distance between $X$ and the smaller tree is $8\ m$ and the distance of the top of the two trees is $20\ m$.
Image
$i$. Calculate the distance between the point $X$ and the top of the smaller tree.
$ii.$ Calculate the horizontal distance between the two trees.
$iii$. Find the height of big tree.
OR
Find the height of small tree.
View full solution →
Q 24Case study (4 Marks)4 Marks
Read the following text carefully and answer the questions that follow:
Using Cartesian Coordinates we mark a point on a graph by how far along and how far up it is.
The left-right $($horizontal$)$ direction is commonly called $X-$ axis.
The up $-$ down $($vertical$)$ direction is commonly called $Y-$ axis.
In Green Park, New Delhi Suresh is having a rectangular plot $\text{ABCD}$ as shown in the following figure. Sapling of Gulmohar is planted on the boundary at a distance of $1 m$ from each other. In the plot, Suresh builds his house in the rectangular area $\text{PQRS}$. In the remaining part of plot, Suresh wants to plant grass.
Image
$i$. Find the coordinates of the midpoints of the diagonal $QS$
$ii$. Find the length and breadth of rectangle $\text{PQRS}$?
$iii$. Find Area of rectangle $\text{PQRS}$.
OR
Find the diagonal of rectangle.
View full solution →
Q 25Case study (4 Marks)4 Marks
Read the following text carefully and answer the questions that follow:
Saving money is a good habit and it should be inculcated in children right from the beginning. Rehan’s mother brought a piggy bank for Rehan and puts one ₹ 5 coin of her savings in the piggy bank on the first day. She increases his savings by one ₹ 5 coin daily.
Image
Based on the above information, answer the following questions:
i. How many coins were added to the piggy bank on $8^{\text {th }}$ day?
ii. How much money will be there in the piggy bank after 8 days?
iii. a. If the piggy bank can hold one hundred twenty ₹ 5 coins in all find the number of days she can contribute to put ₹ 5 coins into it.
OR
b. Find the total money saved, when the piggy bank is full.
View full solution →
Browse all question groups ↑

Generate a MODEL PAPER 2 (BASIC) paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll Maths chapters