# 9th class mathematics paper 2018 federal board

The time allowed: 20 Minutes (Science Group)9th class mathematics paper 2018 federal board. NOTE: Section-A is compulsory. All parts of this section are to be answered on the question paper itself.tt should be completed in the first 20 minutes and handed over to the Centre Superintendent.Deleting/overwriting ie not allowed. Do not use a lead pencil.12 one now get

### Circle the correct option

Q.1 Circle the correct option le. A/B/C /D. Each part carries one mark.
A square matrix is called singular if its determinant is:
A Negative 8. Positive Cc. Zero 0. One
~ ai) The value of i’* is.
~ A 1 B. -1 c. i D. ~i
_ (it) The logarithm of any number to itself as base 1:
A 1 B. 0 c -1 D. 10
_ (iy) a? – ab +d” ig a factor of:
A a-b 8. a+h? c. (a+by 0. (a-sy
{v) When 9×7 = 6x +2 is divided by x, the remainder is:
~ A 9 B 6 c 2 DB (3
~ (i ACFof Sx7y?z) and30.x°)°zis:
_ A Sxtyz? 8. 5×7 yz c 30xy?2? oO. 30x’ yz
— (vid) x=5 is a possible solution of the inequality:
_ A x< B x+3<0 c x+5>0 D. x-10>0

## Paper 2018 federal board

(vil) The point (-3,-) lies in the quadrant.
~ AT BO Cc ot DOU
~~ {io The midpoint of the line segment joining the points (-4,9) and {~4,-3) is:
~ ‘ A (-8,6) 6 (-4,3) + Cc. (0,6) D. (0,~6)
~ ow A Ray has endpoints. . :
A No 8. One Cc. Two D. Infinite
~ (xl) Sum of the adjacent angles of a parallelogram is: . : :
~ A 90° 8. 180° c. 270° 0. 360° °°
_ (ail) in the bisection of right angle, each angle is of: .
A 30°), 8. 45° Cc 60° 0. 90°
~ (xin) Right bisection of a line segment means to draw a perpendicular at the of that line segment.
_ A Any point B. Midpoint Cc. Two points o. Infinite points
(xiv) If the hypotenuse of an isosceles right tangle is 22m, then each of the other side is of length: .
~ A Jom R a Co fame Tr Awe

## section mathematics paper 2018 federal board

Time allowed: 2:40 Hours Total Marks Sections B and C: 60 NOTE: Attempt any twelve parts from Section ‘8’ and any three questions from Section ‘C’ on the separately provided answer book. Use supplementary answer sheet i.e, Sheet-B if required. Write your answers
neatly and legibly. Logbook and graph paper will be provided on demand.
~ a
SECTION — B (Marke 36)
— Q@.2 = Attempt any TWELVE parts. All parts carry equal marks. (12×38 36)
_ 13 1 27 21
i Let A= , Be , CF ify that 4(8-C)= AB- AC
_ a 2 OF SS 75! ¢ i i verity AB-C)
3-1
_ (i) if B= E ; [en show that BB” = /
os (ii) Solve the system of linear equations using matrix inverse method, x+ y= 75, x-4y=0
a? Pe (at arr
_ (iv) Simplify (=) [¢) + 5(a’ ay
a a
— (v) Solve the following equation for real x andy (3- 2’) x+ yi) = 2(x-2yi)+ 27-1
f

## 127« 4246 9th class

• (vil) Perform the indicated operation and simplity —2>2——~*2
x’+6×49 2x°-18
_ (x) If \$x-6y =13 and xy <6, then find the value of 125x° ~ 216°
_ () — Factorize 4x‘ +81
(xi) The polynomial x° + Lx” +mx+ 24 has a factor x+4 and it leaves a remainder of 36 when divided by
~ (x2). Find the values of / and m.
• (x1) Factorize the potynomial by factor theorem x° ~6x’ +3x+10
_ (in) Find H.C-F by division method 2x’-4x‘-6x , x°+x4-3x’-3x’
(xiv) Find the value of & for which the following expression will become a perfect square.
~_ 4×4 12x” +37x) -42x+k
~ (xv) ~~ Solve the equation 7-1-4 ,xeal
x-) x+l x41
~ (xvi) Solve the double inequality —2 { at where xe R
\
(xvii) Solve the following pair of equations x=3y , 2x—3y = —6 using table of value of x andy
_ (xviii) Find the length of the diameter of the circle having centre at (-3,6) and passing through P(I, 3)
_ SECTION — C (Marka 24)

## section paper 2018 federal board

neatly and legibly. Logbook and graph paper will be provided on demand.
= eee
SECTION ~ B (Marts 36)
_ Q.2 Attempt any TWELVE parts. All parts carry equal marks. {12×3=36)
: 2b] 0-77
_ () Find the values of a, b. c andd which satisfy the matrix equation [? , ; ‘al = 3 5 |
_ “1s “1 2]
i For the matrices 4 = , B= verify that (AB) =B’A’

E 0 PT ‘| iy tat (AB)
(ii) Use matrices to solve the folowing system of linear equations by the Cramer’s Rule
— Bx-4ys4 , x+2y=8
— (w} Simplity and write your answer in the form of a+ bi, —
Q+x)I-)
_ ee (81).3° = (3) “.(243) (v) Use law of exponents to simplify —-———__—-
_ (0″)3″)
x ” 1
_ (vi) Find the vate of x log \$= Fx
3 nSé
_ (vil) Use log to find the vatue of (38y 0.056
_ (388)
(vil) Wex#y+2=12 and x? + y? +2? = 64. then find tne value of xy yz +20.
~ (og =/5 +2 , Find the value
of g at
— q

## 9th class mathematics paper

00 Factorize (x? -4x(x? – 4x~1)-20
~ (xi) For what value of m is the polynomial P(x) = 4x° – 7x? + 6x —3m exactly divisible by x+2
~ (xii) Factorize the cubic polynomial by factor theorem 3x – x? -12x+4
_ (xiii) Find H1.C.F by factorization, x’ -27 , x7+6x-27 , 2x?-18
(xv) Use the division method to find the square root of x‘ -10x° +37x? -60x+36
~ (xv) Solve the equation = ~x=l- 3
~ (xvi) Solve the inequality 4x-15357+2x, xER
_ (xvi) Solve the following pair of equations in x and y. 2x+y-1=0 , x =—yusing table for values of x
and y.
(xviii) The endpoint P of a line segment PQ is (-3,6) and its midpoint is (5,8). Find the coordinates
_ of the endpoint Q .
~ SECTION – C (Marks 24)
~ Note: Attempt any THREE questions. All questions carry equal marks. (3×8 = 24)
™ @3 Show that the points 4/-6.-5). BSS —4) CYS —®) and PK -® are the variance af a lapdance

## section 9th class mathematics paper

3 Show that the points mCe oy B(S,~5), C(3,-8} and D(~6, ~8) are the vertices of a rectangle.
_ Find the length of its diagonals. Are they equal?
— Q.4 — Prove that if in the correspondence of the two right-angled triangles, the hypotenuse and one side of one
_ triangle are congruent to the hypotenuse and the corresponding side of the other, then the triangles are congruent.

Q.5 — Prove that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Q.6 — Prove that in a right-angled triangle, the square of the length of hypotenuse is equal to the sum of the squares of
™ the length of the other two sides.
—- ar Construct the triangle XYZ. Draw its three medians and show that they are concurrent.
mXY =5em, m¥Z=6cem, mi¥ = 60°
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## 9th class mathematics paper 2018 federal board

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