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Punjab (PTB) · Quarter book test · Free

10th Class Mathematics 4th Quarter Book Paper

40 marks · 1 hour · 28 questions. Covers: UNIT 10: PRACTICAL GEOMETRY OF CIRCLES, UNIT 11: INFORMATION HANDLING, UNIT 12: PROBABILITY.

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10th Class Mathematics 4th Quarter Book Paper

10th Class · Mathematics · Punjab (PTB)

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

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

  1. The range is the ...... of min. value of a data set:

    1. Product

    2. Sum

    3. Difference

    4. Mean

  2. 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

  3. 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

  4. Second quartile represents:

    1. Mean

    2. Mode

    3. Median

    4. Variance

  5. In a random experiment, each possible outcome is called:

    1. An event

    2. Sample space

    3. Probability

    4. Rolling a dice

  6. Two equal tangents from a point to a circle can be drawn when the point is ...... the cirlce:

    1. On

    2. Inside

    3. Outside

    4. At centre of

  7. The box in Box-and-Whisker plot represents:

    4. IQR

  8. Which is not a valid probability value?

    1. 2.3

    2. 0.3

    3. 0.5

    4. 1.3

  9. The angle between the radius and a tangent at the point of contact is:

  10. Range of first 20 natural numbers is:

    1. 20

    2. 10

    3. 19

    4. 30

  11. Out of 100 students, 60 like Math, 40 like science, 20 like both. What is probability a random student likes Math or science:

    1. 0.8

    2. 0.6

    3. 0.4

    4. 0.2

  12. Tangents drawn from a single external point to a circle are:

    1. Unequal in length

    2. Perpendicular to each other

    3. Equal in length

    4. Inside the crcle

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

  1. Construct a circle with the help of given radius and verify its centre by construction: r = 1.5 cm.

  2. The sum of 5 numbers is 45 and the sum of their squares is 421. Find the mean and standard deviation of the data.

  3. Hashim rolled a dice and tossed a coin simultaneously. Draw possibility diagram.

  4. ABC an arc of a fountain, complete a circle without finding its centre.

  5. Find the range of the following data set: 63,89,98,125,79,108,117,60

  6. 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.

  7. Draw a circle of radius 1.5cm and draw a tangent at point P, when P is at a distance of 8 cm from its centre.

  8. A company forecasts monthly sales (rupees in millions): 15,18,14,20,13. Find the variability in sales predictions.

  9. If the probability of an event A is , then find the probability of the event Not A.

  10. Draw tangent to  at point P, when P is endpoint of the arc.

  11. Find  median, minimum and maximum values for the following box-and-whisker plot.

  12. Two coind are tossed together. What is the probability of getting different faces on the coins?

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

  1. Draw a circle of radius 1.6 cm. Draw two tangents that meet an angle of .

  2. Draw the cumulative frequency polygon for the following frequency distribution of the weekly wages (rupees in thousands) of number of workers by more than method. Also locate  on it.

    Weekly wages (rupees in thousands) 0-20 20-40 40-60 60-80 80-100
    No. of workers 30 48 61 40 21

  3. 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?

  4. Draw a circle with radius 1.5 cm. Draw two tangents to this circle that meet an angle of .