Casparian strips are present in the __________ of the root.
a) Cortex
b) Pith
c) Pericycle
d) Endodermis
Mammals are __________ animals.
a) Cold blooded
b) Warm blooded
c) Poikilothermic
d) All the above
During transpiration, there is a loss of __________.
a) Carbon dioxide
b) Oxygen
c) Water
d) None of the above
'Heart of heart' is called __________.
a) SA node
b) AV node
c) Purkinje fibre
d) Bundle of His
Which substance gives red colour to blood?
a) Haemoglobin
b) Sucrose
c) Glucose
d) Guard cells
Bipolar neurons are found in the __________.
a) retina of eye
b) cerebral cortex
c) embryo
d) respiratory epithelium
Part - II
5 × 2 = 10
Answer ANY 5 questions. Question No. 19 is compulsory.
State Newton's laws of motion.
Why does the sky appear blue in colour?
State two conditions necessary for the rusting of iron.
State Avogadro's law.
Name the acid that renders aluminium passive.
What is the function of a chloroplast?
Why is the colour of blood red?
Name the parts of the hindbrain.
Calculate the gram molar mass of the following. (Note: The specific compound is not mentioned in the question paper image.)
Part - III
4 × 4 = 16
Answer any 4 questions. Question No. 25 is compulsory.
Differentiate between mass and weight.
a) State Snell's law. b) State Rayleigh's law of scattering.
a) Define Atomicity. b) Give any two examples of heteroatomic molecules.
a) What is respiratory quotient? b) Write the reaction for photosynthesis.
Enumerate the functions of blood.
A is a silvery-white metal. 'A' combines with O2 to form 'B' at 800°C. An alloy of 'A' is used in making aircraft. Find A and B.
Part - IV
2 × 7 = 14
Answer all the questions.
a) Differentiate the eye defects Myopia and Hypermetropia.
b) Define dispersion of light.
(OR)
a) Give the salient features of 'Modern atomic theory'.
b) Define Relative atomic mass.
a) Differentiate between Monocot and Dicot root.
b) Draw and label the structure of oxysomes.
(OR)
a) Explain the male reproductive system of a rabbit with a labelled diagram.
In which of the following sports is the turning effect of force used?
a) Swimming
b) Tennis
c) Cycling
d) Hockey
If the power of a lens is $-4D$, then its focal length is:
a) 4m
b) -40m
c) -0.25m
d) -2.5m
In the nucleus of $_{20}\text{Ca}^{40}$, there are:
a) 20 protons and 40 neutrons
b) 20 protons and 20 neutrons
c) 20 protons and 40 electrons
d) 40 protons and 20 electrons
Which of the following alloys is used to make parts of an aircraft?
a) Duralumin
b) Magnalium
c) Nickel steel
d) Stainless Steel
Casparian strips are present in the __________ of the root.
a) Cortex
b) Pith
c) Pericycle
d) Endodermis
The brain of a leech lies above the:
a) Mouth
b) Buccal cavity
c) Pharynx
d) Crop
An example of a myogenic heartbeat is found in:
a) Mollusca
b) Annelids
c) Arthropods
d) Porifera
Part - II
5 × 2 = 10
II. Answer any 5 of the following questions.
(Question No. 14 is compulsory)
Define inertia. Give its classification.
Define Atomicity. Give an example.
What is rust? Give the equation for the formation of rust.
Draw the following diagram and label the parts.
[ Diagram of a Bacterial Cell to be inserted here ]
Why are minerals in plants not lost when a leaf falls?
Differentiate between voluntary and involuntary actions.
A beam of light passing through a diverging lens of focal length 0.3m appears to be focused at a distance of 0.2m behind the lens. Find the position of the object.
Part - III
3 × 4 = 12
III. Answer any 3 of the following questions.
(Question No. 19 is compulsory)
a) What is the power of accommodation of the eye? (2)
b) What are the causes of 'Myopia'?
a) Name the three basic tissue systems in flowering plants. (2)
b) Why must the light-dependent reaction occur before the light-independent reaction? (2)
How does locomotion take place in a leech?
Enumerate the functions of blood.
Calculate the percentage composition of each element in Calcium Carbonate ($CaCO_3$). (Atomic mass: C-12, O-16, Ca-40)
Part - IV
3 × 7 = 21
IV. Answer all the questions.
a) i) State Newton's second law of motion. (2)
ii) Deduce the equation of force using Newton's Second Law of motion. (5)
[OR]
b) Differentiate between the eye defects: Myopia and Hypermetropia.
a) i) Give the salient features of "Modern Atomic Theory". (5)
ii) Calculate the number of moles in 27g of Aluminium. (2)
[OR]
b) i) Define Corrosion. (2)
ii) What are the types of Corrosion? (2)
iii) What are the methods of preventing corrosion? (3)
a) i) How does the light-dependent reaction differ from the light-independent reaction? What are the reactants and end products in each? (5)
ii) Give the importance of transpiration. (2)
[OR]
b) i) Classify neurons based on their structure. (4)
ii) "A" is a cylindrical structure that begins from the lower end of the medulla and extends downwards. It is enclosed in a bony cage "B" and covered by membranes "C". As many as "D" pairs of nerves arise from the structure "A". (3)
a) What is A?
b) Name the bony cage 'B' and membranes 'C'.
c) How many is 'D'?
The range of the relation $R = \{(x, x^2) \mid x \text{ is a prime number less than 13}\}$ is
a) $\{2,3,5,7\}$
b) $\{2,3,5,7,11\}$
c) $\{4,9,25,49,121\}$
d) $\{1,4,9,25,49,121\}$
2.
The value of $(1^3 + 2^3 + 3^3 + \dots + 15^3) – (1 + 2 + 3 + \dots + 15)$ is
a) 14200
b) 14520
c) 14400
d) 14280
3.
The solution of the system $3z = 9, -7y + 7z = 7, x + y - 3z = -6$ is
a) $x = -1, y = 2, z = 3$
b) $x = 1, y = 2, z = 3$
c) $x = 1, y = -2, z = 3$
d) $x = -1, y = -2, z = 3$
4.
In $\triangle LMN$, $\angle L = 60^\circ, \angle M = 50^\circ$. If $\triangle LMN \sim \triangle PQR$, then the value of $\angle R$ is
a) $40^\circ$
b) $70^\circ$
c) $30^\circ$
d) $110^\circ$
Part - II
5 x 2 = 10
II. Answer any 5 questions. (Q.No.11 is compulsory)
5.
A function $f: [-5, 9] \rightarrow R$ is defined as follows:
$$ f(x) =
\begin{cases}
6x+1 & ;-5 \le x < 2 \\
5x^2-1 & ; 2 \le x < 6 \\
3x-4 & ; 6 \le x \le 9
\end{cases}
$$
Find $2f(4) + f(8)$.
6.
If $13824 = 2^a \times 3^b$, then find a and b.
7.
Use Euclid's Division Algorithm to find the Highest Common Factor (HCF) of 396, 504, 636.
8.
A boy of height 90 cm is walking away from the base of a lamppost at a speed of 1.2 m/sec. If the lamppost is 3.6 m above the ground, find the length of his shadow cast after 4 seconds.
Find the LCM of the polynomials $a^2 + 4a - 12$ and $a^2 - 5a + 6$ whose GCD is $a - 2$.
11.
Represent the function $f = \{(1,2), (2,2), (3,2), (4,3), (5,4)\}$ through:
i) an arrow diagram
ii) a table form
iii) a graph
Part - III
4 x 5 = 20
III. Answer any 4 questions. (Q.No.17 is compulsory)
12.
Given $A = \{x \in W \mid x < 2\}$, $B = \{x \in N \mid 1 < x \le 4\}$ and $C = \{3,5\}$, verify that $A \times (B \cup C) = (A \times B) \cup (A \times C)$.
13.
Find the sum to n terms of the series $6 + 66 + 666 + \dots$
14.
The ratio of the 6th and 8th term of an A.P is 7:9. Find the ratio of the 9th term to the 13th term.
Find the GCD of $6x^3 - 30x^2 + 60x - 48$ and $3x^3 - 12x^2 + 21x - 18$.
17.
The data in the adjacent table depicts the length of a person's forehand and their corresponding height. Based on this data, a student finds a relationship between the height (y) and the forehand length (x) as $y = ax + b$, where a, b are constants.
Length 'x' of forehand (in cm)
Height 'y' (in inches)
35
56
45
65
50
69.5
55
74
i) Check if this relation is a function.
ii) Find a and b.
iii) Find the height of a person whose forehand length is 40 cm.
iv) Find the length of the forehand of a person if the height is 53.3 inches.
18.
i) Find the least positive value of x such that $67 + x \equiv 1 \pmod 4$.
ii) Solve: $5x \equiv 4 \pmod 6$.
Part - IV
2 x 8 = 16
IV. Answer the following questions.
19.
a) Construct a triangle similar to a given triangle PQR with its sides equal to $\displaystyle\frac{7}{3}$ of the corresponding sides of the triangle PQR. (scale factor $\displaystyle\frac{7}{3} > 1$)
(OR)
b) Construct a triangle similar to a given triangle ABC with its sides equal to $\displaystyle\frac{3}{5}$ of the corresponding sides of the triangle ABC. (scale factor $\displaystyle\frac{3}{5} < 1$)
20.
a) A two-wheeler parking zone near a bus stand charges as below:
Time (in hours) (x)
Amount (₹) (y)
4
60
8
120
12
180
24
360
Check if the amount charged is in direct variation or in inverse variation to the parking time. Graph the data. Also,
i) Find the amount to be paid when parking time is 6 hr.
ii) Find the parking duration when the amount paid is ₹150.
(OR)
b) Graph the following linear function $\displaystyle y = \frac{1}{2}x$. Identify the constant of variation and verify it with the graph. Also,