Exciting News for CBSE Class 10 Students! **CBSE Maths Class 10 Additional Practice Questions (2023-24)** has been announced. Sharpen your math skills with a curated set of questions covering diverse topics, designed to reinforce learning and boost exam readiness.

The **CBSE Maths Class 10 Additional Practice Questions (2023-24)** can be accessible on the official CBSE website, these questions mirror exam formats, aiding confident problem-solving.

Stay tuned for release dates and enhance your math proficiency for a successful academic year 2023-24!

**Overview of CBSE Maths Class 10 Additional Practice Questions (2023-24)**

With a shift in the curriculum emphasis, the additional practice questions align closely with the updated requirements of the CBSE Class 10 board exams. The material covers key topics comprehensively, offering students a well-rounded preparation.

**Benefits of CBSE Maths Class 10 Additional Practice Questions**

**Reinforcement of Concepts**

The additional practice questions act as a reinforcement tool, solidifying the understanding of core mathematical concepts taught in the classroom.

**Increased Problem-Solving Skills**

Through regular practice, students develop a heightened ability to approach and solve mathematical problems with confidence and accuracy.

**Boost in Confidence**

As students conquer the challenges presented by these practice questions, their self-assurance in tackling complex mathematical problems grows significantly.

**Related Topics**

**How to Use Additional Practice Questions Effectively**

Incorporating these questions into the daily study routine is crucial. Tracking progress and engaging in collaborative study groups can further enhance the effectiveness of this additional learning resource.

**Download CBSE Maths Class 10 Additional Practice Questions** **With Solutions**

The Class 10 CBSE Maths Additional Practice Questions and Solutions PDF for 2024 and previous years provides detailed solutions and comprehensive coverage of the syllabus, enabling students to excel in their Maths exams.

2023-2024 | Set:1 – Practice Questions | Solutions |

2023-2024 | Set: 2 – Practice Questions | Solutions |

2022-2023 | Practice Questions | Solutions |

2021-2022 | Practice Questions | Solutions |

**General Instructions for CBSE Maths Class 10 Additional Practice Questions**

The question paper consists of **five sections: A, B, C, D**, and **E**, with all questions being compulsory. However, there is an internal choice for two 5-mark questions, two Qs of 3 marks, and two 2 marks questions in Section E.

1.** Section A** has 18 MCQs and 02 Assertion-Reason based questions of 1 mark each.

2.** Section B **has 5 Very Short Answer (VSA)-type questions of 2 marks each.

3. **Section C** has 6 Short Answer (SA)-type questions of 3 marks each.

4. **Section D** has 4 Long Answer (LA)-type questions of 5 marks each.

5. **Section E** has 3 case based integrated units of assessment (4 marks each) with sub parts of the values of 1, 1 and 2 marks each respectively.

**Explore CBSE Maths Class 10 Additional Practice Questions (2023-24)**

**ADDITIONAL PRACTICE QUESTIONS **

**MATHEMATICS STANDARD (041) **

**Class X | 2023–24 **

**Time allowed: 3 Hours Maximum marks: 80 **

**SECTION A**

** (This section comprises of Multiple-choice questions (MCQ) of 1 mark each.)**

1. Which of the following could be the graph of the polynomial? (x – 1)2 (x + 2)?

2. The lines k1, k2 and k3 represent three different equations as shown in the graph below. The solution of the equations represented by the lines k1 and k3 is x = 3 and y = 0 while the solution of the equations represented by the lines k2 and k3 is x = 4 and y = 1.

Which of these is the equation of the line k3?

(a) x – y = 3

(b) x – y = -3

(c) x + y = 3

(d) x + y = 1

3 What is/are the roots of 3x 2 = 6x?

(a) only 2

(b) only 3

(c) 0 and 6

(d) 0 and 2

##### 4. The coordinates of the centre of the circle, O, and a point on the circle, N, are shown in the figure below.

What is the radius of the circle?

(a) √0.4 units

(b) 2 units

(c) 4 units

(d) √42.4

5. ΔPQR is shown below. ST is drawn such that ∠PRQ = ∠STQ.

If ST divides QR in a ratio of 2:3, then what is the length of ST?

(a) 10 3 cm

(b) 8 cm

(c) 12 cm

(d) 40 3 cm

6. Two scalene triangles are given below.

Anas: ΔPQR is similar to ΔCBA

Rishi: ΔPQR is congruent to ΔCBA

Which of them is/are correct?

(a) Only Anas

(b) Only Rishi

(c) Both Anas and Rishi

(d) Neither of them, as two scalene triangles can never be similar or congruent.

##### 7. Harsha made a wind chime using a frame and metal rods. She punched 8 holes in the frame, each 2 cm apart, and then hung 6 metal rods from the frame, as shown in the figure below. The ends of the metal rods are aligned over a line, shown by the dotted line in the figure.

If all of the rods are straight and not swaying, then what is the length of Rod P?

(a) 697 cm

(b) 535 cm

(c) 765 cm

(d) 1117 cm

8. Two circles with centres O and N touch each other at point P as shown. O, P and N are collinear. The radius of the circle with centre O is twice that of the circle with centre N. OX is a tangent to the circle with centre N, and OX = 18 cm.

What is the radius of the circle with centre N?

(a) 18√2 cm

(b) 9 cm

(c) 9√2cm

(d) 18√10 cm

##### 9. Shown below is a circle with centre O having tangents at points P, T and S.

If QR = 12 cm and the radius of the circle is 7 cm, what is the perimeter of the polygon PQTRSO?

(a) 26 cm

(b) 31 cm

(c) 38 cm

(d) (cannot say with the given information.)

10. Shown below is a table with values of cosecant and secant of different angles.

θ | 35° | 65° |

cosec θ | P | 1.1 |

sec (90° – θ) | 1.7 | Q |

##### What are the values of P and Q respectively?

(a) 11.7 and 11.1

(b) 1.1 and 1.7

(c) 1.7 and 1.1

(d) (cannot be found with the given information)

11. In the figure below, PQRS is a square.

What is the value of sin ∠SPT?

(a) 817

(b) 815

(c) ) 1517

(d) (cannot be found with the given information)

12. Shown below is a solved trigonometric problem

In which step is there an error in solving?

(a) Step 1

(b) Step 2

(c) Step 3

(d) There is no error.

13. A circle with radius 6 cm is shown below. The area of the shaded region in the circle is of the area of the circle.

What is the length of the circle’s minor arc?

(a) 16𝜋3 cm

(b) 20𝜋3cm

(c) 16π cm

(d) 20π cm

##### 14. A regular pentagon is inscribed in a circle with centre O, of radius 5 cm, as shown below.

What is the area of the shaded part of the circle?

(a) 2π cm2

(b) 4π cm2

(c) 5π cm2

(d) 10π cm2

15. A cuboid of base area P sq units is filled with water upto a height of Q units. A sphere of volume R cu units is dropped into the cuboid such that it is completely submerged. A representation of the submerged sphere is shown below

##### Which of these represents the increase in the height of water?

(a) 0 units

(b) RPunits

(c) R units

(d) 𝑄 + RPunits

16. Sweety, Nitesh, and Ashraf visited a hospital for their annual body checkup, which included a blood pressure evaluation. The results of their systolic blood pressure readings are as follows:

Sweety: 121 mmHg

Nitesh: 147 mmHg

Ashraf: 160 mmHg

The table below depicts the systolic blood pressure ranges of all the patients who visited the hospital on the same day

Blood pressure (mmHg) | Number of patients |

115 – 125 | 10 |

125 – 135 | 9 |

135 – 145 | 12 |

145 – 155 | 19 |

155 – 165 | 10 |

##### Who among the three friends has a blood pressure reading that falls in the modal class?

(a) Sweety

(b) Nitesh

(c) Ashraf

(d) Both Sweety and Ashraf

17 The table below depicts the weight of the students of class 6 of Red Bricks Public School. There are 18 students in the class that weigh above the median weight.

Weight in kg | Number of Students |

25 – 28 | 6 |

28 – 31 | 8 |

31 – 34 | 7 |

34 – 37 | 10 |

37 – 40 | ? |

If there are no students with the same weight as median weight, how many students weigh between the range of 37 – 40 kgs?

(a) 5

(b) 7

(c) 18

(d) 31

##### 18 Ginny flipped a fair coin three times and tails came up each time. Ginny wants to flip the coin again.

What is the probability of getting heads in the next coin flip?

(a) 0

(b) 0.25

(c) 0.5

(d) 1

19 A number q is prime factorised as 32 × 72 × b, where b is a prime number other than 3 and 7.

Based on the above information, two statements are given below – one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R).

Assertion (A): q is definitely an odd number. Reason (R): 32 × 72 is an odd number.

(a) Both (A) and (R) are true and (R) is the correct explanation for (A).

(b) Both (A) and (R) are true but (R) is not the correct explanation for (A).

(c) (A) is true but (R) is false.

(d) (A) is false but (R) is true.

20 P (-2, 5) and Q (2, -1) are two points on the coordinate plane.

##### Two statements are given below – one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R).

Assertion (A): The midpoint (0, 2) is the only point equidistant from P and Q.

Reason (R): There are many points (x, y) where (x + 2)2 + (y – 5)2 = (x – 2)2 + (y + 1)2 are equidistant from P and Q.

(a) Both (A) and (R) are true and (R) is the correct explanation for (A).

(b) Both (A) and (R) are true and (R) is not the correct explanation for (A).

(c) (A) is true but (R) is false.

(d) (A) is false but (R) is true.

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**Frequently Asked Questions (FAQs)**

**What is the significance of additional practice questions for CBSE Class 10 Maths?**

The additional practice questions play a crucial role in reinforcing classroom learning, enhancing problem-solving skills, and boosting students’ confidence in mathematics.

**How often should students incorporate these practice questions into their routine?**

Ideally, students should integrate these practice questions into their daily study routine, allocating dedicated time to work through them regularly.

**Are there specific topics that require more attention in the additional practice material?**

The additional practice material covers all key topics extensively. However, students may choose to focus more on areas they find challenging for personalized improvement.

**Can collaborative study groups enhance the effectiveness of these practice questions?**

Yes, collaborative study groups provide a platform for students to discuss and solve problems together, fostering a supportive learning environment.

**How do the additional practice questions align with the updated curriculum?**

The additional practice questions are designed to align closely with the updated curriculum, ensuring that students are well-prepared for the changes introduced in the academic year 2023-24.