Your school name

10th Class Mathematics Board Pattern Paper 2026

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)

Distance of a point on the circumference to the centre of the circle is called:
1. Radius
2. Arc
3. Chord
4. Tangent
If , what is the valu of g(5)?
1. 45
2. 25
3. 75
4. 100
A quadratic equation is a polynomial equation of degree:
1. One
2. Two
3. Three
4. Zero
The additive inverse of is:
4. (-2+7i)
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)
The range is the ...... of min. value of a data set:
1. Product
2. Sum
3. Difference
4. Mean
If then ?
Any two angles in the same segment of the circle are:
1. Supplementary
2. Complementary
3. Equal
4. Zero
If , then is:
What is the type of the matrix :
1. Row
2. Scalar
3. Null
4. Rectangular
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
Perpendicular from the centre of a circle on a chord ...... it:
1. Bisect
2. equal
3. Greater
4. Less
Which is the correct ordered pair for the graph of :
1. (-4,9)
2. (4,-9)
3. (3,8)
4. (-1,-6)
For object moving in a straight line S=......:
3. 2as

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

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

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, 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)
In the given figure units and units. Find the value of x.
Simplify:

Hashim rolled a dice and tossed a coin simultaneously. Draw possibility diagram.
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?
Construct a circle with the help of given radius and verify its centre by construction: r = 1.5 cm.
The sum of 5 numbers is 45 and the sum of their squares is 421. Find the mean and standard deviation of the data.
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.
Find , when:
ABC an arc of a fountain, complete a circle without finding its centre.
Find the range of the following data set: 63,89,98,125,79,108,117,60
If the probability of an event A is , then find the probability of the event Not A.

If then find the values of m and n.
Find two numbers by using matrices such that twice the first added to the second makes 21 and twice the second added to the first makes 27.
Solve the following equation:
Solve the given simultaneous linear equations with complex coefficients for z and w:
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?