# Mathematics Solved Past Paper 9th Class 2014 Karachi Board

SECTION “A” (COMPULSORY)(M.C.Q.S)

1. Choose the correct answer for each from the given options:

(1) √9x√9=—
* 9
* 81
* 18
* None of these

(2) 35 x 34x 3-³ = —-
* 312
* 360
* 38
* 36

(3) The sum of measures of three angles of a triangle is —-
* 90°
* 360°
* 190°
* 180°

(4) Formula of Arithmetic mean is ——-
(a) ∑X
(b) ∑fx
(c) f
(d) ∑fx/n

(5) A proportion has —- terms.
* 4
* 3
* 2
* 1

(6) Set {2,3,S,—-} is a set of ———
* natural no.
* even no.
* odd no.
* prime no.

(7) If log³ x = 4, x = ——
* 12
* 34
* 81
* 100

(8) The characteristics of log 68.79 is ——-
* 1
* 2
* 2
* none of these

(9) —— is the number repeated frequently in a given data.
* mean
* median
* mode
* none of these

(10) Two angles whose arms are two pairs of opposite rays are called ——– angles.
* vertical
* complementary
* supplementary

(11) The arithmetic mean of 4,4,0, -4, -4, is ——–
0
* 4
* -4
* 12

(12) Circumference of a circle is ——-

* πr²
* 2πr
* πr²/2
* πr (14) Rate of Zakat = ——
* 5/2%
* 3/2%
* 5%
* 7% (16) (a + b) – (a – b)2 = ———
* a² – b²
* a² + b²
* 2(a² + b²)
* 4ab

(17) The set {0, 1} has closer property w.r.t.
* subtraction
* Multiplication
* Division

(18) (x + 5)(x – 5) = ———–
* x² – 25
* x² – 5
* x² + 5
* (x – 5)

(19) In a right angled triangle, opposite side of the right angle is called ———
* base
* perpendicular
* Hypotenuse
* none of these

(20) In decimal system 135 = ——
* 8
* 12
* 5
* 7

NOTE: Answer 10 questions from this section.

(14) Find median of 1,3,6,3,5,4,3,1,4,3.

Arranging in ascending order
1,1,3,3,3,4,4,5,6
Median is 3

NOTE: Answer 3 questions from this Section

(18) A person dies leaving behind him a ‘Tarka’ worth Rs.30,000. Distribute the Tarka among 4 sons and 3 daughters. So that each Daughter gets half of what a son gets. Find the share of each when a debt of Rs.8,000 is also paid from Tarka

Amount of Tarka = 30,000
Amount of Debt = 8,000
Number of sons = 4
Number of daughter = 3
Each son gets twice that of a daughter.
SOLUTION:
Amount left after paying back debt = 30,000 – 8,000 = 22,000
Suppose each daughter gets Re.1
Suppose each son gets Rs.2
3 daughters get 3 x 1 = 3 Rs.
4 sons get 4 x 2 = 8 Rs.
Total amount = 3 + 8 = 11
Share of 3 daughters = 22,000 x 3/11
= 6,000
So each daughter gets = 6,000/3 = Rs.2,000
Share of 4 sons = 22,000 x 8/11
= 16,000
Share of each son = 16,000/4 = Rs.4,000
Hence,
Share of each daughter = Rs.2,000
Share of each son = Rs.4,000

21(b) Find median of 1,3,6,3,5,4,3,1,4,3.