Holiday Homework Assignment For Class 10

Holiday Homework -

Syllabus for SA1 (Class 10)

Assignment- Probability

1.The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?
2.If x is the probability of an event then what will be the probability of its complement?
3.Why is tossing a coin considered to be fair way of deciding which team should choose ends in a game of cricket?
4.A coin is tossed twice .If the second throw results in tail, a dice is thrown .Describe sample space.
5.What is the probability of drawing a blue marble from a bag containing 3 red& 2 blue marbles?
6.What is the probability that a number selected from numbers 1, 2, 3, - - - -, 15 is a multiple of 5?
7.What is the probability that an ordinary year has 53 Sundays?
8.In a lottery, there are 10 prizes & 25 blanks. Find the probability of getting a prize?
9.A number is selected from numbers 1 to 27 .What will be the probability that it is prime?
10.It is known that a box of 600 electric bulbs contains 12 defective bulbs .One bulb is taken out at random from this box .What is the probability that it is a non –defective bulb?
11.The probability of guessing the correct answer to a certain test questions is x/12.If the probability of not guessing the correct answer to this question is 2/3 then what is the value of x?
12.A card is drawn at random from a well shuffled pack of 52 cards .Find the probability that the card drawn is a red queen?
13.A box contains 90 cards which are numbered from 1 to 90. If one card is drawn at random from box .Find the probability that it bears a number divisible by 5?
14.Three unbiased coins are tossed together. Find the probability of getting:
(a) All heads
(b) Two heads
(c) Atmost two heads
(d) Getting a head and tail alternately
15.In a single throw of two dice, find the probability that neither a doublet nor a total 9 will appear.
16. Find the probability of 53 Sundays in a leap year.
17. In a single throw of two dice, what is the probability of getting a total of 9 or 10?
18.Is falling of a fan an equally likely outcome? Give reason for your answer.
19.From a well shuffled pack of 52 cards, a card is drawn at random. What is the
probability that it is a jack of red suit?
20.A letter is chosen at random from the word "MATHEMATICS". What is the probability that it is a vowel?
21.Two dice are thrown simultaneously. What is the probability of getting an even doublet?
22. Two die are thrown simultaneously. What is the probability of getting an even prime number?
23. Cards marked with numbers 5 to 50 are placed in a box and mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the taken out card is:
a) a prime number less than 10
b) a number which is not a perfect square.
24. All cards of ace, jack and queen are removed from a deck of playing cards .One card is drawn at random from the remaining cards, find the probability that the card drawn is
a) A face card
b) A red queen

Assignment-Quadratic Equations

Quadratic Equations -

String Art involving Maths

Shared By:-
Sinal Jain
X-A

Assignment-Triangles(Area)

Q1:In a ∆ ABC, AB = AC and D is a point on side AC, such that BC^2 = AC X CD .Prove that BD = BC.
Q2: If ∆ABC and ∆ AMP are two right triangles, right angled at B and M respectively such that angle MAP= angle BAC. Prove that ∆ ABC ~ ∆ AMP.
Q3: A vertical stick of length casts a shadow 4m long on the ground and at the same time a tower casts a shadow 28 m long .Find the height of the tower.
Q4:In ∆ABC, AD and BE are respectively perpendiculars to BC & AC. Show that ∆ADC ~ ∆BEC and CA x CE = CB x CD
Q5: E is a point on side AD produced of a parallelogram ABCD and BE intersects CD at F. Prove that ∆ABE ~ ∆ CFB.
Q6: Two sides and a median bisecting one of the sides of a triangle are respectively proportional to the two sides and the corresponding median of the other triangle. Prove that the triangles are similar.
Q7. E is a point on side AD produced of a parallelogram ABCD and BE intersects CD at F. prove that ∆ ABE ~ ∆CFB.
Q8.Prove that the area of the equilateral triangles describes on the side of a square is half the area of the equilateral triangle describes on its diagonals.
Q9. If∆ ABC ~ ∆ PQR and also ar (∆ABC)=4ar(∆PQR) If BC = 12cm, find QR.
Q10. ABC is a triangle right angled at A, AD is perpendicular to BC. IF BC = 13cm and AC = 5cm, find the ratio of the areas of ∆ABC and ∆ADC.
Q11. The area of two similar triangles is 121cm2 and 64cm2 respectively. If the median of the first triangle is 12.1cm, find the corresponding median of the other.
Q12. In an equilateral triangle with side `a`, Find the area of the triangle.
Q13. D and E are points on the sides AB and Ac respectively of ∆ABC such that DE is parallel to BC and AD: DB = 4: 5. CD and BE intersect each other at F. Find the ratio of the areas of ∆DEF & ∆BCF.
Q14. ∆ABC and ∆DEF are similar. The area of ∆ ABC is 9 cm2 and area of ∆DEF is 16 cm2. If BC = 2.1 cm, find the length of EF.
Q15.In a trapezium ABCD, O is the point of intersection of AC and BD, AB║CD and AB = 2 CD. If the area of ∆AOB = 84 cm2, find the area of ∆COD.
Q16.In two similar triangles ABC and PQR, if their corresponding altitudes AD and PS are in the ratio of 4: 9, find the ratio of the area of ∆ABC to that of ∆PQR.
Q17. D, E & F are the mid-points of the sides AB, CA and BC respectively of a ∆ABC. Using Area theorem of similar triangles, find the ratio of areas of triangles DEF and ABC.
Q18.ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1 cm, PB = 3cm, AQ = 1.5 cm, QC = 4.5 cm, Prove that the area of ∆ APQ is one-sixteenth of the area of ∆ABC.

Assignment-Trigonometry

trigonometry -