CBSE Maths Class 7 Test from Data Handling and Probability

M.M: 48 marks                                                 Dated: 17/07/2011

Time: 1 hour 30 minutes

Q 1: Fill in the blanks (1 mark per question x 16 = 16 marks):

1. The difference between the highest and lowest observation is known as ______.
2. The ____ of a set of observations is the observation that occurs most often.
3. ______ refers to the value which lies in the middle of the data when arranged in increasing and decreasing order.
4. A _________ graph is a representation of numbers using bars of uniform widths.
5. A collection of numerical figures giving some particular type of information is called _______.
6. Each numerical figure in a data is called an ________.
7. _______ is the subject that deals with the collection, presentation, analysis and interpretation of numerical data.
8. If number of observations, i.e., N is odd, then median = _______________.

9. If number of observations, i.e., N is even, then median = _______________.
10. Formula to calculate mode when median and median are known is: Mode = 3 x _______ - 2 x _______.
11. In probability, an experiment in which each of the outcomes cannot be predicted in advance is called a ___________ experiment.
12. __________ data is the data which is collected by an investigator himself/herself with a definite plan or design.
13. One single group of a tally bars including the slanted one has total of ______ bars.
14.  ______ is the Greek letter showing summation.

15. A ______ is an action which results in one or several outcomes.
16. An ________ associated to a random experiment is the collection of some outcomes of the experiment.

Q 2: A die is thrown 100 times and the outcomes are noted as shown below:                                                                  (4 marks)

Outcome           1          2          3          4          5         6

Frequency        13        14        18        19        16        20

If the same die is now thrown at random, find the probability of getting a/an:

1. 3
2. 6
3. Even number
4. Multiple of 3

Q 3: A box contains three pairs of socks of two colours blue and grey. I have picked out a grey sock. I pick out one more sock with my eyes closed. What is the probability that I will make a pair?      (2 marks)

Q 4: Read the bar graph given below and answer the following questions:                                                                          (4 marks)

1. What information is represented by the bar graph?

2. In which year what the production minimum?

3. After which year was there a sudden fall in the production?

4. Find the ratio between the minimum production and the maximum production during the given period shown in the graph.

Q 5: The results of pass percentage of class Xth and class XIIth in CBSE examination of a school for 5 years are given in the following table.                                                                  (7 marks)

Year  --> Class	2000-01	2001-02	2002-03	2003-04	2004-05
X	96	94	96	86	95
XII	98	85	88	92	90

1. Draw the appropriate bar graph to represent the data.             (3 marks)
2. Whose average is more – class Xth or class XIIth? How much?         (2 marks)
3. In which year, was the difference of pass percentage between class Xth and class XII the least?        (1 mark)
4. For class XIIth, when was the decrease of pass percentage the most?         (1 mark)

Q 6: Calculate the mode and median of the following data:                      (4 marks)
       
11, 13, 11, 15, 14, 12, 13, 17, 18, 11, 13, 14, 15, 14, 15, 15, 14,  16, 12, 15, 15, 14, 14, 12, 14, 16, 14, 13, 14, 12, 14, 13.

Also, find the mean by using the empirical relation.

Q 7: Following table shows the number of shirts of different sizes 
        sold in a week by a shopkeeper.                             (2 marks)

Size of shirt (in inches)        34       36        38      40         42     44

Number of shirts sold          14       21        35      42          21      7

Which shirt size should the shopkeeper order to take care of the most of the customers ordering one particular size? Why?

Q 8: The following observations have been arranged in ascending order. If the median of data is 65, find the value of x.     (2 marks) 

30, 33, 49, 51, 3x, 3x+4, 73, 79, 85, 96.

Q 9: The weights in kg of 10 students are: 30, 32, 31, 29, 35, 30, 35, 28, 36, and 34. Find the median.                               (4 marks)

If the 36 kg weight is replaced by 27 kg and 32 kg weight is replaced by 37 kg, then find the new median.

Q 10: Find the value of “a” if the mean of the following distribution is 8.71.                                                             (3 marks)

x:   4         6                8                10                12                14

f:   7          9                16               a                  9                  5

Maths Class 7th Test From Chapter 1 - Integers

M.M: 48 marks                                                                        Dated: 18/06/2011

Time allotted: 1 hour

Q 1: Fill in the blanks                                                (1 mark each x 21 = 21 marks)

  

i. The numbers …, -4, -3, -2, -1, 0, 1, 2, 3, 4…… are _________.

ii.  _______ is an integer which is neither positive nor negative. 

iii. The ____________ value of an integer is its numerical value regardless of its sign.

iv. The quotient of two negative or two positive integers is always ____________.

v. The quotient of one positive and one negative integer is always ___________.

vi. Under addition and multiplication, integers show a property called distributive property which means ________________ = a x b + a x c.

vii. Multiplication is associative for integers, i.e., ___________ = a x (b x c) for any three integers a, b, c.

viii. The number _______ is the identity under multiplication.

ix. Commutative property under multiplication means: ________ = b x a, for any integers a and b.

x. a x b is an integer for any two integers a and b, it means integers are __________ under multiplication.

xi. Integer ____________ is the identity under addition.

xii. Addition is associative for integers, i.e., (a + b) + c =      ______________ for all integers a, b and c.

xiii. Division involving two unlike signs gives a ___________.

xiv. For integers, commutative property holds in addition but not in ___________.

xv. The additive inverse of (3/-5) is _________.

xvi. _____ ÷ 1 = a.

xvii. Division by _____ is not allowed.

xviii. (ab – ac) = ______________

xix. Solve: 723 x (-73) – 73 x (-723) = _______________

xx. Solve: (-35) x 30 – (-35) x 20 = __________________

xxi. Out of -7, -5, -3, 1, 4, 7, a pair of integers whose sum is -2 is ____________

Q 2: I was 5 km east of my home. Now I am 6 km west of my home. How many kilometres did I travel?                                                                                  (2 marks)

Q 3: Which of the integers -10, 10, -2, -1, 3 and -3 is closest to -4 on the number line? Why?                                                                                                           (1 mark)

Q 4: The _________ the number, the lesser is its opposite.                               (1 mark)

Q 5: Simplify: (-5) – (-48) ÷ (-16) + (-2) x 6                                                   (2 marks)

Q 6: A shopkeeper earns a profit of Rs. 2 by selling one pen and incurs a loss of 50 paise per pencil while selling pencils of her old stock.                          (2 marks x 2 = 4 marks)

i). In a particular month she incurs a loss of Rs. 10. In this period, she sold 37 pens. How many pencils did she sell in this period?

ii). In the next month, she earns neither profit nor loss. If she sold 75 pens, how many pencils did she sell?

Q 7: A certain freezing process requires that room temperature be lowered from 49° C at the rate of 4 ° C every hour. What will be the room temperature 12 hours after the process begins?                                                                                            (2 marks)

Q 8: Find the product using suitable properties:                           (1 mark x 4 = 4 marks)

i). 17 x (-20) x (-5) x (-10)

ii). 8 x 57 x (-125)

iii). (-19) x (-28)

iv). (-59) x (-17) + 59

Q 9: Verify the following: (-23) x [(-5) + (-7)] = [(-23) x (-5)] + [(-23) x (-7)]                                                                                                                                  (2 marks)

Q 10: Find (-47) x 19 using distributive property.                                           (1 mark)

Q 11: Write a pair of integers whose sum gives:                        (1 mark x 2 = 2 marks)

i). an integer smaller than both the integers

ii). an integer smaller than only one of the integers

Q 12: Write a pair of integers whose difference gives an integer greater than both the integers.                                                                                                     (1 mark)

Q 13: Use the sign of >, < or + in the blank to make the statements true.                                                                                      (1 mark x 2 = 2 marks)

i).  -39 + (-20) – (-15) ______  49 – (-10) + (-103)
ii).  39 – 51 + 99         ______  49 - 58 + 100

Q 14: At Srinagar, temperature was -9° C on Tuesday and then it dropped by 3 ° C on Wednesday. What was the temperature of Srinagar on Wednesday? On Thursday, it rose by 7° C. What was the temperature of this day?                                             (3 marks)