1. Find the mean weight of the data set shown.
6 kg,35 kg,42 kg,41 kg,45 kg,29 kg,26 kg,8 kg
  1. A kennel can accommodate 12 dogs that weigh (in pounds)6,14,23,17,19,27,39,7, 33,4,11,and13.Find the range of their weights.

  1. Find the mode for the data set, which shows the heights(in inches)of 10 students of Piyush’s class. 65, 60, 64, 61, 66, 67, 67, 67, 62, 77

  1. Numbers 1 to 10 are written on ten separates slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking in to it. What is the probability of getting a number 6?

  1. How many people have a birthday before July?

  1. How many more sunny days than windy days were there in June?

  1. The table shows the heights of the students inMr. Girish's class.Find the mode of their heights.

  1. If you try to start a scooter, what are the possible outcomes?

  1. In which year is the increase in the number of students maximum?

  1. When a die is thrown, what are the six possible outcomes?

  1. The number of doctors in a village during the last 4 decades is given in the table. Determine the range of the number of doctors in the village.

  1. When a die is thrown, what is the probability of getting the number 7?

  1. On spinning the wheel,What will be the probability of getting a green (G) sector?

  1. Abag has 10red marblesand 6 blue marbles. A marble is drawn from the bag without looking into the bag. What is the probability of getting a blue marble?

  1. Find the median of the data set, which shows the heights (in inches) of 10 students in Mr. Brajesh's class. 67, 62, 66, 63, 68, 69, 69, 69, 64 and 79

  1. A bag has 4 red balls and6 yellow balls. A ball is drawn from the bag without looking into the bag.Find the probability of getting a red ball.

  1. When a die is thrown, list the outcomes of an event of gettingacomposite number.
  2. Write 4 observations from the double graph given below?
  1. The following table shows the sales of two different kinds of cars during 4 months of a year. Draw the double bar graph that represents the correct data.
Car / January / February / March / April
Car 1 / 150 / 140 / 140 / 130
Car 2 / 140 / 120 / 110 / 130
  1. In a camp activity, a group of girls and boys go fishing everyday from Monday through Friday. They made a bar graph to show the number of fish they caught each day. Use the bar graph to answer the questions.

RATIONAL NUMBERS:

  1. The numbers in the form of p/q, where q≠0 are called as ______numbers.
  2. Which of the two rational numbers do not exist or is undefined? - or
  3. In a rational number p/q, p is called the ______and q is called the ______.
  4. Write 5 equivalent rational numbers for the following.

a) b) c)

  1. Rational numbers include ______and ______.
  2. The number _____ is neither a positive nor a negative rational number.
  3. in standard form is ______.
  4. Find 5 rational numbers between and .
  5. Write four more rational numbers in the same pattern as given.

a) , , , ,………..

b) , , , ,…………

c) , , , ,……….

  1. Represent the following on the number line.

a)b) c)d) -2

  1. Arrange the following in descending order.

, , , , 1 ,

  1. State which one of each pair is greater than the other.

a) b)

c) d)

  1. Solve the following:

1) (- 2 /5 ) + 9 /82) (- 3 /2 ) ÷ (- 5/ 8 )

3) (- 5/ 9 )x (- 6 /8 )4) (- 7 /5 ) – 2/ 8 - 6/ 5

5) (- 9 /5 ) - (- 8 /7 ) - 6 /5 6) (- 4 /9 ) x 3 /8

7) 8/ 4 + 3/9 + 7/ 4 8) (- 5 /3 ) - 2 /9

9) 2/ 8 x (- 3/ 6 ) ÷ 5 /8 10) 6 /4 ÷ (- 8/ 3 ) x 5/4

  1. The product of two rational numbers is-11/15 . If one of them is 3 , find the other.
  2. The sum of two rational numbers is -2/3. If one of them is-12/17,find the other.
  3. Find a rational no. which in standard form is equal to 4/5 and the sum of its numerator and denominator is 27.
  4. Find the value of 2 1/2 +5 3/5 x 1 2/3 - 1 3/4 ÷ 1 ½.
  5. From a rope 13m long, two pieces of lengths m and m are cut off. What is the length of the remaining rope?
  6. A drum full of rice weighs kg. If the empty drum weighs kg, find the weight of rice in the drum.
  7. A basket contains three types of fruits weighing kg in all. If kg of these be apples, 12/7 kg be oranges and the rest pears. What is the weight of the pears in the basket?
  8. Find the cost of 21/5 meters of cloth at $127/3 per meter.
  9. A car is moving at an average speed of 202/5 km/hr. How much distance will it cover in 15/2 hours?
  10. Find the area of a rectangular park which is 13/5 m long and 5/3 m broad.
  11. Find the area of a square plot of land whose each side measures meters.
  12. An airplane covers 1720 km in an hour. How much distance will it cover in hours?
  13. A cord of length m has been cut into 6 pieces of equal length. What is the length of each piece?

LINES AND ANGLES

1. Find the value of x, y and z in the following figures given below-

(i) (ii)

(iii) (iv)

2. Find the value of x, y and z if l ll m

l

m

3. Find if p ll q

(i) (ii)

4. Find the Complement of the following.

a) 250b) 170c) 430d) 670

5. Find the supplement of the following.

a) 250b) 170c) 430d) 670

6. a)Classify each set of angles as alternate interior angles, alternate exterior angles, same-side interior angles, corresponding angles, or none of these.

a)∠4and∠6
b)∠1and∠2
c)∠4and∠5
d)∠2and∠6
e)∠1and∠7
f)∠5and∠7
g)∠3and∠5
h)∠4and∠8
i)∠3and∠6
j)∠2and∠8

b)If ∠2 = 520, then find the value of the remaining angles.

7) The measure of∠1is150°. What are the measures of∠4, ∠3and ∠2?