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10th Class Mathematics Full Book Paper

10th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 75Time: About 2 hours 40 minutes

Q1. Multiple choice questions (Attempt all · 15 × 1 = 15)

What is called a visual representation to show all possible outcomes:
1. A free diagram
2. A tail diagram
3. Sample diagram
4. A tree diagram
If then ?
If , what is the valu of g(5)?
1. 45
2. 25
3. 75
4. 100
What is the type of the matrix :
1. Row
2. Scalar
3. Null
4. Rectangular
The additive inverse of is:
4. (-2+7i)
Distance of a point on the circumference to the centre of the circle is called:
1. Radius
2. Arc
3. Chord
4. Tangent
The range is the ...... of min. value of a data set:
1. Product
2. Sum
3. Difference
4. Mean
A quadratic equation is a polynomial equation of degree:
1. One
2. Two
3. Three
4. Zero
Any two angles in the same segment of the circle are:
1. Supplementary
2. Complementary
3. Equal
4. Zero
To draw a tangent at middle point of an arc, first step is to:
1. Join endpoints of an arc
2. Draw radius
3. Draw a line perpendicular to chord
4. Draw an angle
What is the simplified form of:
1. 4x(a+y)
2. 4x(a-b)
If , then is:
In a random experiment, each possible outcome is called:
1. An event
2. Sample space
3. Probability
4. Rolling a dice
What is true about sec ?
Which is the correct ordered pair for the graph of :
1. (-4,9)
2. (4,-9)
3. (3,8)
4. (-1,-6)

Q2. Short questions (Attempt any 6 of 9 · 6 × 2 = 12)

If , then make x the subject of this equation.
Under what condition are two complex number equal?
Define an absolute value function.
Find the additive inverse of the following matrix:
Examine the nature of roots of the following quadratic equation:
Simplify and write in the form of a+b:
If , then find: .
Is the following matric is diagonal, scalar or unit matrice.
Find the points of intersection of the following linear equation with coordinate axes graphically:

In the given, find the value of x.
Simplify:
The diagram shows a cuboid ABVDEFGH in which , , calculate the size of the angle between and the plane ABCD. Give your answer correct to 1 decimal place.
If and , then find the following vector:
In the given figure units and units. Find the value of x.
Reduce the following rational expression to lowest forms:
What is the formula to find the area of a triangle when two sides and their included angle are given?
If and , then find: (equation)
Define a semi circle.

An architect designs a circular dome on a building. A lighting rod is placed 12 m away from the centre of the dome which has a radius of 5m. Support cables are attached from the rod to the dome, touching the dome at two points. What is the length of each cable?
The sum of 5 numbers is 45 and the sum of their squares is 421. Find the mean and standard deviation of the data.
Hashim rolled a dice and tossed a coin simultaneously. Draw possibility diagram.
Construct a circle with the help of given radius and verify its centre by construction: r = 1.5 cm.
Find , when:
Find the range of the following data set: 63,89,98,125,79,108,117,60
A bag contains 4 red and 3 green balls, Kabeer draw two balls one after the other with replacement (the second is drawn after the first is replaced). Find the probability that the first ball is red and the second ball is also red.
ABC an arc of a fountain, complete a circle without finding its centre.
Find the angles marked in the given figure, where O is the centre of the circle.

Solve the following equation:
If are the roots of the equation , then find the equation whose roots are:
A dice is rolled and coin is tossed together: (i) Find sample space by drawing possibility diagram. (ii) Find sample space by sketching tree diagram. (iii) What is the probability of getting a tail and an even number?
The diagram shows a prism. Trinagle PQR is a cross section of the prism, where and . Calculate the size of the angle that the line MR makes with the plane RQLN.
Draw a circle of radius 1.6 cm. Draw two tangents that meet an angle of .