ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is 50

Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is 80

Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is 40

Suppose S is the event that will happen tomorrow and P(S) = 0.03. State in words, the complementary event S’.

Suppose S is the event that will happen tomorrow and P(S) = 0.03. Find P(S’)

Five Students A, B, C, D, and E are competing in a long-distance race. Each student’s probability of winning the race is given below:
A → 20%, B → 22%, C → 7%, D → 15% and E → 36%
(i) Who is most likely to win the race?
(ii) Who is least likely to win the race?
(iii) Find the sum of probabilities given.
(iv) Find the probability that either A or D will win the race.
(v) Let S be the event that B will win the race.
(a) Find P(S)
(b) State, in words, the complementary event S’.
(c) Find P(S’)

A Ticket is randomly selected from a basket containing 3 green, 4 yellow, and 5 blue tickets. Determine the probability of getting:
(i) a green ticket
(ii) a green or yellow ticket.
(iii) an orange ticket.

Ten cards with numbers 1 to 10 written on them are placed in a bag. A card is chosen from the bag at random. Determine the probability of choosing:
(i) 7
(ii) 9 or 10
(iii) a number greater than 4
(iv) a number less than 6

A carton contains eight brown and four white eggs. Find the probability that an egg selected at random is:
(i) brown
(ii) white

A box contains 3 yellow, 4 green, and 8 blue tickets. A ticket is chosen at random. Find the probability that the ticket is:
(i) yellow
(ii) green
(iii) blue
(iv) red
(v) not yellow

The following table shows number of males and number of females of a small locality in different age groups.

If one of the persons, from this locality, is picked at random, what is the probability that

1. the person picked is a male?
2. the person picked is a female?
3. the person picked is a female aged 21-50?
4. the person is a male with age up to 50 years?

Are the following pairs of angles complementary? 
10° and 80°

Are the following pairs of angles complementary?
37° 28′ and 52° 33′

Are the following pairs of angles complementary?
(x + 16)° and (74 − x)°

Are the following pairs of angles complementary?
54° and `2/5` of a right angle.

Are the following pairs of angles supplementary?
139° and 39°.

Are the following pairs of angles supplementary?
26° 59′ and 153° 1′.

Are the following pairs of angles supplementary?
2x° + 65° and 115°− 2x°

Are the following pairs of angles supplementary?
`3/10` of a right angle and `4/15` of two right angles.

If 3x + 18° and 2x + 25° are supplementary, find the value of x.