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CBSE 10th Maths Pre-Board Sample Paper 2023-24: As the year 2024 has knocked, it’s time to gear up for the CBSE Class 10 Pre-Boards 2. This is going to be your last chance to refine your strategies before you sit for your CBSE Class 10 Board Exam in February-March. Mathematics is one of the challenging subjects that students struggle with. But now preparing for CBSE Class 10 Maths Exam can be less stressful with the help of the sample paper presented here.

The CBSE Class 10 Maths Pre-Board Sample Paper 2024 is crafted by experienced faculty and aligns with the pattern of the latest CBSE sample papers. Questions are based on the latest syllabus making it the most valuable resource to ensure thorough revision of all mathematical concepts covered in the syllabus. Therefore, all class 10 students should practise with the help of the sample paper provided below to conquer their CBSE Class 10 Maths fears and ace the upcoming CBSE pre-board exam.

CBSE Class 10 Maths Pre-Board Sample Paper 2023-24

General Instructions:

1. This Question Paper has 5 Sections A, B, C, D and E.

2. Section A has 20 MCQs carrying 1 mark each

3. Section B has 5 questions carrying 02 marks each.

4. Section C has 6 questions carrying 03 marks each.

5. Section D has 4 questions carrying 05 marks each.

6. Section E has 3 case based integrated units of assessment (04 marks each) with sub-parts of the values of 1, 1 and 2 marks each respectively.

SECTION A

1 . If two positive integers m and n are expressible in the form m = pq3 and n = p3q2, where p, q are prime numbers, then HCF (m, n) = 

(a) pq

(b) pq2 

(c) p3q3

(d) p2q

2. If α and β are the zeroes of the polynomials 2×2 + 3x +5, then the value of 1/α + 1/β is:

(a) -2/3

(b) 2/5

(c) 3/5 

3. If the lines given by 3x+2ky=2 and 2x+5y+1=0 are parallel, then the value of k is

(a) −5/4

(b) 2/5

(c) 15/4 

(d) 3/2

4. The pair of equation x+2y+5=0 and -3x-6y+1=0 have :

(a) A unique solution

(b) Exactly two solutions

(c) Infinitely many solutions

(d) No Solution

5.The list of numbers – 10, – 6, – 2, 2,… is

(a) an AP with d = – 16

(b) an AP with d = 4

(c) an AP with d = – 4

(d) not an AP

6. The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio

(a) 3 : 4 

(b) 3 : 2

(c) 2 : 3

(d) 4 : 3

7. If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is

(a) 12

(b) -6

(c) -12 

(d) -4

8. In the figure given below, KP/PM=4/13, and KN = 20.4 cm, then the value of KQ is:

(a) 2.8 cm

(b) 3.8 cm 

(c) 4.8 cm 

(d) 5.8 cm

9. APB is a tangent to a circle with centre O, at point P. If < QPB = 500, then the measure of <POQ is:

(a)1200 

(b) 1000

(c) 1400

(d) 950

10. In the fig. if the semi perimeter of ∆ABC = 23cm, then AF + BD + CE is

(a) 46cm

(b)11.5cm

(c) 23cm 

(d) 34.5cm

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