, Sample Question Paper (2023-24)
Class – X
Basic Mathematics (241)
Time Allowed: 3 Hrs Maximum Marks: 80
General Instructions:
1. This Question Paper has 5 Sections A, B, C, D, and E.
2. Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each.
3. Section B has 5 Short Answer-I (SA-I) type questions carrying 2 marks each.
4. Section C has 6 Short Answer-II (SA-II) type questions carrying 3 marks each.
5. Section D has 4 Long Answer (LA) type questions carrying 5 marks each.
6. Section E has 3 sourced based/Case Based/passage based/integrated units of
assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each
respectively.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 2 marks, 2 Qs
of 3 marks and 2 Questions of 5 marks has been provided. An internal choice has
been provided in the 2 marks questions of Section E.
8. Draw neat figures wherever required. Take π =22/7 wherever required if not
stated.
SECTION A
1. If two positive integers a and b are written as a = x3y2 and b = xy3; where x, y are
prime numbers, then HCF (a,b) is:
a) xy b) xy2 c) x3y3 d) x2y2
2. The LCM of smallest two digit composite number and smallest composite number is:
a) 12 b) 4 c) 20 d) 44
3. If x = 3 is one of the roots of the quadratic equation x2 – 2kx – 6 = 0, then the value of
k is
a) − b) c) 3 d) 2
4. The pair of equations y = 0 and y = -7 has:
a) one solution b) two solutions c) infinitely many solutions d) no solution
5. Value(s) of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is :
a) 0 only b) 4 c) 8 only d) 0,8
6. The distance of the point(3, 5) from x-axis is k units, then k equals:
a) 3 b) 4 c) 5 d) 8
7. If in ∆ ABC and ∆ PQR, = = then:
a) ∆PQR ~∆CAB b) ∆PQR ~∆ABC c) ∆CBA ~∆PQR d) ∆BCA ~∆PQR
1
Class – X
Basic Mathematics (241)
Time Allowed: 3 Hrs Maximum Marks: 80
General Instructions:
1. This Question Paper has 5 Sections A, B, C, D, and E.
2. Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each.
3. Section B has 5 Short Answer-I (SA-I) type questions carrying 2 marks each.
4. Section C has 6 Short Answer-II (SA-II) type questions carrying 3 marks each.
5. Section D has 4 Long Answer (LA) type questions carrying 5 marks each.
6. Section E has 3 sourced based/Case Based/passage based/integrated units of
assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each
respectively.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 2 marks, 2 Qs
of 3 marks and 2 Questions of 5 marks has been provided. An internal choice has
been provided in the 2 marks questions of Section E.
8. Draw neat figures wherever required. Take π =22/7 wherever required if not
stated.
SECTION A
1. If two positive integers a and b are written as a = x3y2 and b = xy3; where x, y are
prime numbers, then HCF (a,b) is:
a) xy b) xy2 c) x3y3 d) x2y2
2. The LCM of smallest two digit composite number and smallest composite number is:
a) 12 b) 4 c) 20 d) 44
3. If x = 3 is one of the roots of the quadratic equation x2 – 2kx – 6 = 0, then the value of
k is
a) − b) c) 3 d) 2
4. The pair of equations y = 0 and y = -7 has:
a) one solution b) two solutions c) infinitely many solutions d) no solution
5. Value(s) of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is :
a) 0 only b) 4 c) 8 only d) 0,8
6. The distance of the point(3, 5) from x-axis is k units, then k equals:
a) 3 b) 4 c) 5 d) 8
7. If in ∆ ABC and ∆ PQR, = = then:
a) ∆PQR ~∆CAB b) ∆PQR ~∆ABC c) ∆CBA ~∆PQR d) ∆BCA ~∆PQR
1
