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PEC First Term SCHOOL BASED ASSESSMENT 2023-24
Mathematics - Class 8
Student Name
Roll Number
Section
Time Allowed
2 hours
Total Marks
50
Chapters
Date
Examiner Signature
Bubble Sheet for Q.No.1 (MCQs) Fill the correct option bubble for each question number.
1.
A B C D
2.
A B C D
3.
A B C D
4.
A B C D
5.
A B C D
6.
A B C D
7.
A B C D
8.
A B C D
9.
A B C D
10.
A B C D
MAXIMUM MARKS: 15 OBJECTIVE
حصہ معروضی
10 × 1.5 = 15 کل نمبر
سوال نمبر
Q.No.1
For each objective question four options (A–D) are given. Fill the bubble of the correct option against the question number on the bubble sheet.
Sr. No. Questions A B C D
(i)
The number \(\sqrt{7}\) is:
Rational number
Irrational number
Integer
Natural number
(ii)
The absolute value of \(-11\) is:
11
-11
\(\frac{1}{11}\)
-\(\frac{1}{11}\)
(iii)
By rounding off \(0.237689\) to 3 significant figures, we get:
0.236
0.237
0.238
0.239
(iv)
The square of \(11\) is:
111
112
121
144
(v)
Cube root of \(343\) is:
4
5
6
7
(vi)
If \(P(A) = \{\phi, \{a\}, \{b\}, \{a, b\}\}\), then set A will be:
\(A = \phi\)
\(A = \{a\}\)
\(A = \{b\}\)
\(A = \{a, b\}\)
(vii)
If \(A = \{1, 2, 5\}\) and \(B = \{2, 4, 6\}\), then \(A \cup B\) will be equal to:
\(\{2\}\)
\(\{1, 2, 5\}\)
\(\{2, 4, 6\}\)
\(\{1, 2, 4, 5, 6\}\)
(viii)
If \(4 : x :: 20 : 60\) then the value of \(x\) is:
9
10
11
12
(ix)
Ali bought a computer worth Rs. 50000 and sold it for Rs. 35000. His loss percentage is:
30%
40%
50%
70%
(x)
The \(6^{\text{th}}\) term of the geometric sequence \(1, 4, 16, 64, \dots\) is:
128
256
512
1024
(i)
The number \(\sqrt{7}\) is:
(a) Rational number (b) Irrational number (c) Integer (d) Natural number
(ii)
The absolute value of \(-11\) is:
(a) 11 (b) -11 (c) \(\frac{1}{11}\) (d) -\(\frac{1}{11}\)
(iii)
By rounding off \(0.237689\) to 3 significant figures, we get:
(a) 0.236 (b) 0.237 (c) 0.238 (d) 0.239
(iv)
The square of \(11\) is:
(a) 111 (b) 112 (c) 121 (d) 144
(v)
Cube root of \(343\) is:
(a) 4 (b) 5 (c) 6 (d) 7
(vi)
If \(P(A) = \{\phi, \{a\}, \{b\}, \{a, b\}\}\), then set A will be:
(a) \(A = \phi\) (b) \(A = \{a\}\) (c) \(A = \{b\}\) (d) \(A = \{a, b\}\)
(vii)
If \(A = \{1, 2, 5\}\) and \(B = \{2, 4, 6\}\), then \(A \cup B\) will be equal to:
(a) \(\{2\}\) (b) \(\{1, 2, 5\}\) (c) \(\{2, 4, 6\}\) (d) \(\{1, 2, 4, 5, 6\}\)
(viii)
If \(4 : x :: 20 : 60\) then the value of \(x\) is:
(a) 9 (b) 10 (c) 11 (d) 12
(ix)
Ali bought a computer worth Rs. 50000 and sold it for Rs. 35000. His loss percentage is:
(a) 30% (b) 40% (c) 50% (d) 70%
(x)
The \(6^{\text{th}}\) term of the geometric sequence \(1, 4, 16, 64, \dots\) is:
(a) 128 (b) 256 (c) 512 (d) 1024
Subjective Type (Part-I) / حصہ انشائیہ
Q. 2: Write short answers to any 2 questions. (Custom marks per question)
Max. Marks: 35
  1. (i)
    Sara purchased \(8\frac{1}{3}\) meters of cloth and used \(1\frac{4}{9}\) meters of cloth to stitch a shirt. How much cloth left with her? (5 marks)
    lines
  2. (ii)
    The area of a square shaped card is \(121\text{ cm}^2\). Find the length of one side of the card. (5 marks)
    lines
Q. 3: Write short answers to any 2 questions. (Custom marks per question)
Max. Marks: 35
  1. (i)
    For \(A = \{2, 4, 6, 8, 10, 12\}\) and \(B = \{4, 8, 12, 16\}\), verify commutative law of intersection. (5 marks)
    lines
  2. (ii)
    Verify that \((A \cap B)^c = A^c \cup B^c\) when \(A = \{2, 4, 6\}\), \(B = \{1, 2, 3, 4, 5, 6, 7\}\) and \(U = \{1, 2, 3, \dots, 10\}\). (5 marks)
    lines
Q. 4: Write short answers to any 2 questions. (Custom marks per question)
Max. Marks: 35
  1. (i)
    Hameed bought a piece of land in Rs 600000 and sold it in Rs 450000. Find his loss percentage. (5 marks)
    lines
  2. (ii)
    Amir borrowed Rs 45000 from a bank at the rate of 4% for 3 years. Find the amount of markup. (5 marks)
    (b) Find the indicated term of the geometric sequence when \(a = 512\), \(r = \frac{1}{2}\), \(a_5 = ?\)
    (10 marks)
    lines