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10th Class Mathematics 4th Quarter Book Paper10th Class · Mathematics · Federal (FBISE)
Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)
- CV is given by the formula:
- Angle subtended by an arc at centre of circle is called ………… angle.
- Direct common tangents of equal circles are:
- Which of the following divides the data into two equal parts?
- Given that radius of a circle is 4 cm. The distance between two tangents drawn at the outer ends of diameter is:
- Angle between tangent and radial segment of a circle is:
- Probability of rolling a standard cubical dice for an even number in 2 attempts is —— than probability of rolling an odd number in 2 attempts.
- If two tangents are drawn on both ends of diameter of a circle, they are:
- Centres and point of contact of two touching circles are:
- Which of the following divides the data into ten equal parts?
- Central angle of major arc of a circle is:
- In which type of triangle, incentre and circumcentre are coincident?
Q2. Short questions (Attempt any 8 of 12 · 8 × 2 = 16)
- Find the values of unknown in the figure.

- Raabi and Jerry are hoping on their play circles of four sectors each painted in red, green, yellow and blue colours. Find the probability that they will jump on: (1) At the same colour (2) At the different colours.
- Draw a circle with the help of any round object, then find its centre.
- Find the values of unknown in the figure.

- What is the probability that both coin A and coin B land heads up if both coins are flipped simultaneously?
- Construct two circles of radii 2 cm and 3.5 cm. Draw "direct common tangents"
- Find the values of unknown in the figure.

- Affan played a game with two possible outcomes L and W such that P(W) = 0.4 (40%) and P(L) = 0.6 (60%). Find the probability of either winning or losing the game.
- Construct two equal circles each of radius 3 cm. Centres of the circles are 6 cm apart. Draw their "direct common tangents"
- Find the values of unknown in the figure.

- Sundas draws 2 cards one after the other from a standard pack of playing cards, such that: First draw → Any card (52 possibilities) Second draw → Any card (51 possibilities, since one card has already been drawn) then find the probabilities of: (1) Both black cards (2) Both hearts (3) First spade then heart (4) First Queen of Spades then King of Hearts
- Three points X, Y and Z are located on an arc. Find the centre of that arc.
Q3. Long questions (Attempt any 3 of 4 · 3 × 4 = 12)
- Construct two intersecting circles of radii 2.5 cm and 3 cm whose centres are 4.8 cm apart. Draw two common tangents to the circles.
- In the figure, AOB is equilateral triangle. Find the measures of ∠O and ∠C.

- Data shows scores of Huffaz in a Hifz Quran test: Find standard deviation of the data.
- A satellite A is moving around Earth at an altitude of 7600 km from the surface. The radius of Earth is 6400 km. How far is the satellite from the city P?
