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Free Mathematics Worksheets

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Sample Mathematics Worksheet Questions

1.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting (iv) the jack of hearts
2.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting (v) a spade
3.
Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. (i) What is the probability that the card is the queen?
4.
Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. (ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace?
5.
Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. (ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (b) a queen?
6.
12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
7.
(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
8.
(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?
9.
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number
10.
Which of the following arguments are correct and which are not correct? Give reasons for your answer. (ii) If a die is thrown, there are two possible outcomes—an odd number or an even number. Therefore, the probability of getting an odd number is $\frac{1}{2}$.

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Applications of Trigonometry Areas Related to Circles Arithmetic Progression Circles Constructions Coordinate geometry Introduction to Trigonometry Pair of linear equations in two variable Polynomials Probability Quadratic Equations Real numbers Statistics Surface Areas and Volumes Triangles UNIT III: Coordinate Geometry UNIT IV: Geometry UNIT V: Trigonometry UNIT VI: Mensuration UNIT VII: Statistics and probability

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