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Federal (FBISE) · Quarter book test · Free

10th Class Mathematics 4th Quarter Book Paper

40 marks · 1 hour · 28 questions. Covers: 10. Tangents and Angles of a Circle, 11. Practical Geometry of Circles, 12. Basic Statistics.

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10th Class Mathematics 4th Quarter Book Paper

10th Class · Mathematics · Federal (FBISE)

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

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

  1. CV is given by the formula:
    1. SDrange×100\frac{\text{SD}}{\text{range}} \times 100
    2. meanSD×100\frac{\text{mean}}{\text{SD}} \times 100
    3. 100mean×SD\frac{\text{100}}{\text{mean}} \times SD
    4. SD100× mean \frac{\text{SD}}{\text{100}} \times \text { mean }
  2. Angle subtended by an arc at centre of circle is called ………… angle.
    1. reflex
    2. inscribed
    3. straight
    4. central
  3. Direct common tangents of equal circles are:
    1. parallel
    2. intersecting
    3. converging
    4. not parallel
  4. Which of the following divides the data into two equal parts?
    1. decile
    2. quartile
    3. percentile
    4. median
  5. Given that radius of a circle is 4 cm. The distance between two tangents drawn at the outer ends of diameter is:
    1. 2 cm
    2. 4 cm
    3. 6 cm
    4. 8 cm
  6. Angle between tangent and radial segment of a circle is:
    1. 30°
    2. 45°
    3. 60°
    4. 90°
  7. 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.
    1. greater
    2. smaller
    3. equal
    4. no relation
  8. If two tangents are drawn on both ends of diameter of a circle, they are:
    1. perpendicular
    2. parallel
    3. intersecting
    4. none
  9. Centres and point of contact of two touching circles are:
    1. collinear
    2. non-collinear
    3. coincident
    4. none of these
  10. Which of the following divides the data into ten equal parts?
    1. decile
    2. quartile
    3. percentile
    4. median
  11. Central angle of major arc of a circle is:
    1. less than 90°
    2. less than 180°
    3. greater than 180°
    4. greater than 90°
  12. In which type of triangle, incentre and circumcentre are coincident?
    1. scalene
    2. isosceles
    3. equilateral
    4. right triangle

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

  1. Find the values of unknown in the figure.Question diagram
  2. 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.
  3. Draw a circle with the help of any round object, then find its centre.
  4. Find the values of unknown in the figure.Question diagram
  5. What is the probability that both coin A and coin B land heads up if both coins are flipped simultaneously?
  6. Construct two circles of radii 2 cm and 3.5 cm. Draw "direct common tangents"
  7. Find the values of unknown in the figure.Question diagram
  8. 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.
  9. Construct two equal circles each of radius 3 cm. Centres of the circles are 6 cm apart. Draw their "direct common tangents"
  10. Find the values of unknown in the figure.Question diagram
  11. 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
  12. 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)

  1. 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.
  2. In the figure, AOB is equilateral triangle. Find the measures of ∠O and ∠C.Question diagram
  3. Data shows scores of Huffaz in a Hifz Quran test: scores41−5051−6061−7071−8081−9091−100f3172030182 \begin{array}{|c|c|c|c|c|c|c|} \hline \text{scores} & 41 - 50 & 51 - 60 & 61 - 70 & 71 - 80 & 81 - 90 & 91 - 100 \\ \hline f & 3 & 17 & 20 & 30 & 18 & 2 \\ \hline \end{array} Find standard deviation of the data.
  4. 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?Question diagram