Term: III
Time: 2 hours 30 mins Total Marks: 75
Subject: General Mathematics Class: IX
Name: ______________________ Date: ____________
Questions 1 2 3 4 5 6 7 8 9 Total Marks
Marks Obtained
Objective
Time Allowed: 20 min Marks: 15
Instruction:
⦁ Fifteen (15) Multiple choice Questions (MCQs) are given in this part. Attempt all questions. All questions carry equal marks. Encircle the correct option.
Q. No. 1 Encircle the correct option.
i. In a proportion a : b : : c : d, a and d are called:
a. Extreme b. Antecedent c. Consequent d. Mean
ii. 0.14 as percentage is:
⦁ 14 b. 40 c. 14 % d. 1.4 %
iii. If there is only a single daughter or an agnatic granddaughter, her share is fixed:
b. c. d.
iv. A. M between and is:
b. c. d.
v. SP = …………… where SP > CP.
a. Profit ̶ CP b.
c. CP ̶ Loss d.
vi. The company undertaking the act of insurance is called:
⦁ Insurer b. Insured c. Insurance d. Insurance policy
vii. is called:
⦁ Radical b. Radicand c. Rational number d. Integer
viii. where ‘x’ is a multiple of “2”. the range of is:
a) {4, 6, 8, 10, 12} b) { 3, 4, 5, 6} c) {3, 4, 5} d) {2, 3, 4, 5, 6}
ix. If R = {(4, 5), (5, 4), (5, 6), (6, 4)} then the range of R is:
a) { 4 } b) { 5 } c) { 6 } d) {4, 5, 6}
x. The fourth term of , when n = 0 is:
a) b) c) d) 0
xi. is called:
a) Mean b) Geometric mean c) Mode d) Weighted mean
xii. In the logarithm of a number the integral part is called:
a) Characteristic b) Mantissa c) Decimal part d) Real part
xiii. The tax in addition to the price of the article is called:
a) tax b) sales tax c) income tax d) sales tax
xiv. Loss is there when:
a) SP = CP b) SP < CP c) SP = MP d) SP > CP
xv. Ushr on a wheat crop produced on natural resources among Rs. 1, 50,000 is:
⦁ 10, 000 b) 5000 c) 15, 000 d) 20,000
Subjective
Part -I
Time Allowed: 2 hours 10 mins Marks: 60
Note: Use separate sheets for subjective section.
Q. No. 2 Write short answers to any six (6) questions. /12
⦁ What is meant by extremes and means?
⦁ Define compound proportion.
⦁ If profit = 5 % and CP = Rs. 1540 then find SP.
⦁ Who is called sahib-e-Nisab Muslim?
⦁ If the value of gold is Rs. 11, 10,000 then calculate the payable amount of Zakat.
⦁ A railway train carries 800 passengers, 55 % passengers are men, 15 % are children. What is the percentage of women?
⦁ Convert 5000 Saudi Riyals into Pakistani Rupee if one Riyal = Rs. 22.400
⦁ Find the CP, when S.P =Rs. 100 Profit
⦁ Find the value of “x” in the proportion 20 : 50 : : 80 : x.
Q. No. 3 Write short answers to any six (6) questions. /12
⦁ Evaluate .
⦁ What is debit card?
⦁ Khalid works 6 day per week. Find his gross monthly wage, if his rate of pay is
Rs. 200 per day.
⦁ How long would Rs. 1250 have to be deposited at 6 % per year simple profit to gain Rs. 750 simple profit?
⦁ Simplify and answer in exponential form.
⦁ Find G.M between ̶ 2 and ̶ 8.
⦁ Find the A. M between and .
⦁ Simplify and write the answer in scientific notation.
⦁ Simplify .
Q. No. 4 Write short answers to any six (6) questions. /12
⦁ Define into function.
⦁ For any three sets A, B and C prove associative law of intersection.
⦁ Draw the graph by plotting the points A (1, 0), B (7, 0), C (1, 8)
iv. If U = {1, 2, 3, 4, 5, 6, 7} and A = {3, 4, 5} then find Ac.
⦁ Find the mean of the following data.
4, 6, 7, 4, 8, 9, 7, 10
vi. What is Cartesian plane and linear graph?
vii. Define Binary Relation.
viii. If A = {3, 5, 6} and B = {1, 3} then find A × B.
ix. If U = {4, 6, 8, 9, 10} and A = {4, 6} then find U ̶ A.
Part -II
Note: Attempt three questions.
Q. No. 5
(a) A factory makes 560 fans in 7 days with the help of 20 machines. How many fans can be made in 12 days with the help of 18 machines? /04 (b) Asghar left a property of worth Rs. 4, 80, 000. He left behind a widow, three sons and four daughters. Calculate the share of each one. /04
Q. No. 6
(a) A boy bought a book for Rs. 575 and sold it for Rs. 320. What was his loss percentage? /04
(b) Mr. Ahmed Ali insured his house worth 75, 00,000 @ 2 % for 4 years. Calculate the amount paid in 4 years, while the rate of depreciation is 10 % yearly. /04
Q. No. 7
(a) The price of a tricycle is Rs. 4000. If 16 % sales tax is charged, then calculate the amount of sales tax on 30 such tricycles. /04
(b) Use logarithmic table and evaluate . /04
Q. No. 8
(a) Insert five geometric means between /04
(b) If . Find its domain and range R. /04
Q. No. 9 The following table shows a frequency distribution of grades on a final examination in mathematics. Locate quartiles graphically. /08
Grade 90-99 80-89 70-79 60-69 50-59 40-49 30-39
No of Students 9 32 43 21 11 3 1
Answer Key
Objective
Q. No. 1 Encircle the correct option.
Q. No Answers
i. a
ii. c
iii. a
iv. a
v. b
vi. a
vii. a
viii. d
ix. d
x. c
xi. d
xii. a
xiii. b
xiv. b
xv. c
Time: 2 hours 30 mins Total Marks: 75
Subject: General Mathematics Class: IX
Name: ______________________ Date: ____________
Questions 1 2 3 4 5 6 7 8 9 Total Marks
Marks Obtained
Objective
Time Allowed: 20 min Marks: 15
Instruction:
⦁ Fifteen (15) Multiple choice Questions (MCQs) are given in this part. Attempt all questions. All questions carry equal marks. Encircle the correct option.
Q. No. 1 Encircle the correct option.
i. In a proportion a : b : : c : d, a and d are called:
a. Extreme b. Antecedent c. Consequent d. Mean
ii. 0.14 as percentage is:
⦁ 14 b. 40 c. 14 % d. 1.4 %
iii. If there is only a single daughter or an agnatic granddaughter, her share is fixed:
b. c. d.
iv. A. M between and is:
b. c. d.
v. SP = …………… where SP > CP.
a. Profit ̶ CP b.
c. CP ̶ Loss d.
vi. The company undertaking the act of insurance is called:
⦁ Insurer b. Insured c. Insurance d. Insurance policy
vii. is called:
⦁ Radical b. Radicand c. Rational number d. Integer
viii. where ‘x’ is a multiple of “2”. the range of is:
a) {4, 6, 8, 10, 12} b) { 3, 4, 5, 6} c) {3, 4, 5} d) {2, 3, 4, 5, 6}
ix. If R = {(4, 5), (5, 4), (5, 6), (6, 4)} then the range of R is:
a) { 4 } b) { 5 } c) { 6 } d) {4, 5, 6}
x. The fourth term of , when n = 0 is:
a) b) c) d) 0
xi. is called:
a) Mean b) Geometric mean c) Mode d) Weighted mean
xii. In the logarithm of a number the integral part is called:
a) Characteristic b) Mantissa c) Decimal part d) Real part
xiii. The tax in addition to the price of the article is called:
a) tax b) sales tax c) income tax d) sales tax
xiv. Loss is there when:
a) SP = CP b) SP < CP c) SP = MP d) SP > CP
xv. Ushr on a wheat crop produced on natural resources among Rs. 1, 50,000 is:
⦁ 10, 000 b) 5000 c) 15, 000 d) 20,000
Subjective
Part -I
Time Allowed: 2 hours 10 mins Marks: 60
Note: Use separate sheets for subjective section.
Q. No. 2 Write short answers to any six (6) questions. /12
⦁ What is meant by extremes and means?
⦁ Define compound proportion.
⦁ If profit = 5 % and CP = Rs. 1540 then find SP.
⦁ Who is called sahib-e-Nisab Muslim?
⦁ If the value of gold is Rs. 11, 10,000 then calculate the payable amount of Zakat.
⦁ A railway train carries 800 passengers, 55 % passengers are men, 15 % are children. What is the percentage of women?
⦁ Convert 5000 Saudi Riyals into Pakistani Rupee if one Riyal = Rs. 22.400
⦁ Find the CP, when S.P =Rs. 100 Profit
⦁ Find the value of “x” in the proportion 20 : 50 : : 80 : x.
Q. No. 3 Write short answers to any six (6) questions. /12
⦁ Evaluate .
⦁ What is debit card?
⦁ Khalid works 6 day per week. Find his gross monthly wage, if his rate of pay is
Rs. 200 per day.
⦁ How long would Rs. 1250 have to be deposited at 6 % per year simple profit to gain Rs. 750 simple profit?
⦁ Simplify and answer in exponential form.
⦁ Find G.M between ̶ 2 and ̶ 8.
⦁ Find the A. M between and .
⦁ Simplify and write the answer in scientific notation.
⦁ Simplify .
Q. No. 4 Write short answers to any six (6) questions. /12
⦁ Define into function.
⦁ For any three sets A, B and C prove associative law of intersection.
⦁ Draw the graph by plotting the points A (1, 0), B (7, 0), C (1, 8)
iv. If U = {1, 2, 3, 4, 5, 6, 7} and A = {3, 4, 5} then find Ac.
⦁ Find the mean of the following data.
4, 6, 7, 4, 8, 9, 7, 10
vi. What is Cartesian plane and linear graph?
vii. Define Binary Relation.
viii. If A = {3, 5, 6} and B = {1, 3} then find A × B.
ix. If U = {4, 6, 8, 9, 10} and A = {4, 6} then find U ̶ A.
Part -II
Note: Attempt three questions.
Q. No. 5
(a) A factory makes 560 fans in 7 days with the help of 20 machines. How many fans can be made in 12 days with the help of 18 machines? /04 (b) Asghar left a property of worth Rs. 4, 80, 000. He left behind a widow, three sons and four daughters. Calculate the share of each one. /04
Q. No. 6
(a) A boy bought a book for Rs. 575 and sold it for Rs. 320. What was his loss percentage? /04
(b) Mr. Ahmed Ali insured his house worth 75, 00,000 @ 2 % for 4 years. Calculate the amount paid in 4 years, while the rate of depreciation is 10 % yearly. /04
Q. No. 7
(a) The price of a tricycle is Rs. 4000. If 16 % sales tax is charged, then calculate the amount of sales tax on 30 such tricycles. /04
(b) Use logarithmic table and evaluate . /04
Q. No. 8
(a) Insert five geometric means between /04
(b) If . Find its domain and range R. /04
Q. No. 9 The following table shows a frequency distribution of grades on a final examination in mathematics. Locate quartiles graphically. /08
Grade 90-99 80-89 70-79 60-69 50-59 40-49 30-39
No of Students 9 32 43 21 11 3 1
Answer Key
Objective
Q. No. 1 Encircle the correct option.
Q. No Answers
i. a
ii. c
iii. a
iv. a
v. b
vi. a
vii. a
viii. d
ix. d
x. c
xi. d
xii. a
xiii. b
xiv. b
xv. c
General Mathematics Class: IX
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