Name: PaperBanao
Price: 1000 PKR

Your school name

9th Class Mathematics 4th Quarter Book Paper

9th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 40Time: 1 hour

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

If LM = 4 cm, MN = 4.7 cm and ∠M = 120°, the given angle lies between:
1. LM and MN
2. LM and LN
3. MN and LN
4. None
Which of the following is measure of central tendency?
1. variance
2. standard deviation
3. range
4. arithmetic mean
Which instrument is used to draw an arc of a specified radius?
1. Protractor
2. Compass
3. Set square
4. Scale only
For class interval 31–40, the class mark is:
1. 35
2. 35.5
3. 36
4. 40.5
The sum of interior angles of a triangle is:
1. 90°
2. 180°
3. 270°
4. 360°
An event which can never happen is called.
1. sure event
2. certain event
3. possible event
4. impossible event
If two given sides are 5.7 cm and 7.5 cm and the angle 105° is opposite the 7.5 cm side, the construction involves:
1. An oblique triangle case
2. Only an equilateral triangle
3. A square
4. A circle only
A wheel has 8 equal sectors. Probability of stopping at one specified sector is:
1. '1/4
2. '1/6
3. '1/8
4. '1/10
The three altitudes of a triangle meet at the:
1. Incentre
2. Centroid
3. Orthocentre
4. Midpoint
If a coin is tossed 10 times and head occurs 6 times, relative frequency of head is:
1. 0.4
2. 0.5
3. 0.6
4. 0.8
In ΔPQR, if PQ = 7.2 cm, ∠P = 45° and ∠Q = 75°, then ∠R is:
1. 50°
2. 60°
3. 70°
4. 80°
Probability of picking an ace from a well shuffled pack of 52 playing cards is.
1. $\frac{1}{52}$
2. $\frac{1}{13}$
3. $\frac{4}{13}$
4. None of these

Q2. Short questions (Attempt any 8 of 12 · 8 × 2 = 16)

Define orthocentre.
A decagonal die labelled 4 , 4 , 4 , 4 , 5 , 5 , 6 , 7 , 8 , 8 is rolled once. Find the probability of getting. $\text { LCM of } 4 \text { and } 8$
Construct an equilateral triangle ABC. Find and Do they coincide? $centriod$
Find the median for the following data. 0 , 1 , - 2 , - 3 , 4 , 5 , 6 , 3
Construct the following triangle. $\Delta PQR \text{ when } PQ = 5.8 \, \text{cm}, \, \angle P = 45^\circ\, \angle Q = 75^\circ$
Find mode for the following data. 2 , 4 , 3 , 5 , 5 , 3 , 4 , 2
Construct a triangle and find its centre of gravity. ( Hint : Find centroid)
A number wheel is divided into 8 equal sectors labelled as pansy, lily, orchid, tulip, jasmine, rose, marigold and sunflower. Maazz spins the wheel once. Find the probability that pointer. $stops \text { at } \text { a }4\text { letter flower name}$
Construct the following triangle. $\Delta PQR\text{ when } PQ = 6 \, \text{cm}, \, \angle P= 30^\circ, \, \angle R= 90^\circ$
A one digit whole number is chosen at random. Find the probability that it is. $\text { not a prime number }$
Show that right bisector of the following triangle are concurrent. $\Delta DEF \text{ when } DE = 5 \, \text{cm}, \, EF = 4 \, \text{cm}, \, \angle E = 120^\circ$
At a sale, number of items placed according to the price range is given below. Construct a histogram. $\begin{array}{|c|c|c|c|c|c|c|} \hline \text{Price (Rs.)} & 600-999 & 1000-1999 & 2000-2499 & 2500-2999 & 3000-3499 \\ \hline f & 50 & 70 & 75 & 65 & 70 \\ \hline \end{array}$

Q3. Long questions (Attempt any 3 of 4 · 3 × 4 = 12)

Find mean for the following frequency distribution. $\begin{array}{|c|c|c|c|c|c|} \hline \text{Classes} & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 \\ \hline f & 1 & 5 & 7 & 5 & 1 \\ \hline \end{array}$
Show that altitude of the following triangle are concurrent. $\Delta PQR \text{ when } PQ = 4.6 \, \text{cm}, \,QR = 6.5 \, \text{cm}, \, \angle P = 90^\circ$
Find median for the following frequency distribution. $\begin{array}{|c|c|c|c|c|c|} \hline \text{Classes} & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 \\ \hline f & 1 & 5 & 7 & 5 & 1 \\ \hline \end{array}$
Show that angle bisector of the following triangle are concurrent. $\Delta XYZ \text{ when } XY = 5.5 \, \text{cm}, \angle X = 45^\circ, \, \angle Y = 75^\circ$