SET THEORY
a) {-15,-10,-5,0,5,10,15}
b) {-15,-10,-5,5,10,15}
c) {-10,-5,0,5,10}
d) {-15,-10,-5,0,5,10}
2) The set B= {1,2,3,4,6,8,12,16,24,48} can be written in set builder form as
a) {x: x is a composite number, x< 48}
b) {x: x is an even number, x< 48}
c) {x: x is a factor 48}
d) {x: x is a multiple of 48}
3) If P={x: x is the letter of the word MATHEMATICS}, then n(P) is
a) 7 b) 8 c) 9 d) 11
4) Which of the following sets is finite?
a) A={x:x is a whole number between 7 and 8}
b) D= Cube of natural numbers more than 6}
c) B={ Points lying on a line}
d) C={1/3,3/5,5/7,7/9.....}
5) Which of the following statements is true for the given sets A and B?
A={Letters of the word FINITE}
B={ letters of the word FINISH}
a) A= B b) A⊆ B c) A<--> B d) A and B are infinite sets
6) Classify the following statements as true or false:
a) Roaster method for representing a set is also called rule method.
b) The symbol '|' or ' : ' stands for 'that is ' in set builder notation form.
c) Two sets are said to be disjoint if they have no element in common.
d) No set is a proper subset of itself.
e) Every set is a superset of universal set.
f) The number of elements in the power set of A={a,b} is 3.
g) Two infinite sets are always equivalent.
h) The set Z= {0} is a null set.
PROBABILITY
1) The probability of getting heads in the toss of a coin is
a) 1/2 b) 0 c) 1 d) none
2) The probability of getting number 1 in a throw of a dice is
a) 1/2 b) 1/6 c) 0 d) 1
3) The probability of getting number 7 in a throw of a dice is
a) 1/2 b) 1/6 c) 0 d) 1
4) A bag contains 3 red and 2 green balls. The probability of choosing a red ball is
a) 1/2 b) 3/5 c) 2/5 d) 1
5) A bag contains 7 red and 5 green balls. The probability of choosing a green ball is
a) 5/12 b) 7/12 c) 1/2 d) 0
6) The probability of getting an odd number in the throw of a dice is
a) 1/2 b) 1/3 c) 1/4 d) 1/6
7) The probability of picking a red card from well shuffled pack of cards is
a) 1/52 b) 13/52 c) 1/2 d) 1/4
8) Classify the following statements as true or false:
a) An event which never happens is called an impossible event.
b) If a dice is thrown, the probability of getting a number greater than 6 is 1/6.
c) When a coin is tossed, there are 2 possible outcomes.
d) The probability of getting an ace out of a deck of cards is greater than 1.
e) The value of the probability of some events can be more than 1.
f) The outcomes in the toss of two coins is {HH, TT, HT}.
f) The outcomes in the toss of two coins is {HH, TT, HT}.
9) Fill in the blanks:
a) The value of the probability of an event always lie between ____ and ____.
b) In throwing a die the number of possible outcomes is ____.
c) The probability of getting Heads in a throw of a dice is _____
d) The probability of an event which is certain to happen is _____.
e) The outcomes in the throw of a dice are ____.
f) The probability of an event which is impossible to happen is ____.
g) When a dice is thrown, the probability of getting a number less than 7 is ____.
MEAN , MEDIAN AND MODE
1) The mean of the first five prime numbers is
a) 5 b) 5.2 c) 5.4 d) 5.6
2) The range of the data 14,6,12,17,21,10,4,3 is
a) 11 b) 17 c) 18 d) 21
3) The mode of the data 23,26,22,29,23,29,26,29,22,23 is
a) 26 b) 23 c) 29 d) 23 and 29
4) The median of the data 40,50,100,60,90,60,90 is
a) 75 b) 60 c) 70 d) 98
5) Which of the following is not a measure of the central tendency?
a) mean b) median c) mode d) range
6) Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?
a) mean and mode
b) mean and median
c) mean, median and mode
d) mode and median
7) When the marks of two students in five subjects are compared, which among the following is a better measure for comparison
a) median b) mode c) range d) mean
8) The difference between the highest and the lowest observation of the given data is called
a) mean b) range c) mode d) median
9) Classify the following as true or false:
a) The observation which occurs for the maximum number of times in the given data is called the mode of the given data.
b) The mode of the data 23, 2615,12,28,38,19,23,26,23 is 28.
c) The mean value is always one of the values of the given data.
d) Median of the data 4,5,9,2,6,8,7 is 2.
e) If nine observations are arranged in ascending order then the average of the 5th and 6th observation is the median of the given data.
f) The median is also called the average of the given data.
g) The mean, median and range are called the measure of central tendency.
h) The mean is always a whole number.
10) Fill in the blanks:
a) The mean of a data is also called ____'.
b) The median of the first ten even natural numbers is____.
c) The difference between the highest observation and the lowest observation is called _____.
d) The mid value of the given data is called the ____.
e) The observation which occurs for the maximum number of times in the given data is called the _____.
f) The representation of data with bars of uniform width is called ____.
g) The mean, median, and mode are the measures of ______.
MENSURATION
1) Area of a right angled triangle is 48m². If one of its legs is 12m, its base is
a) 6cm b) 6m c) 8cm 8m
2) The circumference of a circle is 88m. Its radius is
a) 14cm b) 2/7cm c) 2/7m d) 14m
3) A rectangular piece of dimensions 1cm x 1.5cm is cut from a rectangular sheet of paper of dimensions 6m x 4cm. The area of the remaining sheet is
a) 24cm² b) 1.5cm² c) 2.5cm² d) 22.5cm²
4) The area of an equilateral triangle is 36√3 cm². The side of the triangle is
a) 12 cm b) 144 cm c) 9 cm 144/√3 cm
5) The area of a circle with radius 'y' is
a) πy² b) πz² c) πx² d) πr²
6) If each side of a square is doubled, then its area will increase by
a) no increase b) two times c) three times d) four times
7) What will be the area of the largest square that can be cut out from a circle of radius 8m ?
a) 4m² b) 2m² c) 16m² d) none
8) The area of a semicircle of radius 4r is
a) 8πr² b) 16πr² c) 4πr² d) 24πr²
Classify the following statements as true or false:
a) If the ratio of the radii of two circles is tripled, then the ratio of their circumference will be doubled.
b) If the ratio of the radii of two circles is 1:3, then their areas will be in the same ratio.
c) If the perimeter of two parallelogram are equal then their areas are also equal.
d) The ratio of circumference of a circle to its radius is always 2:r.
e) 5 hectare is the same as 2500 m².
Fill in the blanks:
a) The perimeter of a square field is 60 m. It's area is ______
b) 1 hectare= ___'' m².
c) If a wire in the shape of a square is rebent into a rectangle, then the ___ of both the shapes remain the same, but their ____ may vary.
d) The diagonals of a rhombus are 0.2m and 0.35m. the area of the rhombus will be ______.
e) The circumference of a circle with diameter is ____ and the area of the circle is ____.
f) 1 km²____m².
CONGRUENCY OF A TRIANGLE
1) Congruent figures must have
a) same size b) same shape c) both of these d) none
2) The criteria for two congruent triangle is
a) SSS b) AAS c) SSA d) AAA
3) Two circles are congruent if they have the same.
a)
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