Answer the following
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CBSE Class 9 Mathematics-Important Questions-Surface Area and Volume
Answer the following
1. The total surface area of a cube is 726 cm2. Find the length of its edge. [11cm]
2. How much ice-cream can be put into a cone with base radius 3.5 cm and height 12 cm ? [154cm3]
3. Find the area of the sheet required to make closed cylindrical vessel of height 1 m and diameter 140 cm. [7.48m2]
4. If a wooden box of dimensions 8 m x 7 m x 6 m is to carry boxes of dimensions 8 cm x 7 cm x 6 cm, then find the maximum number of boxes that can be carried in the wooden box. [1000000]
5. How many balls, each of radius 2 cm can be made from a solid sphere of lead of radius 8 cm ? [64]
6. A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. Find the radius of the sphere [2.1cm]
7. A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. If the glass is filled with milk up to a height of 12 cm, find how many litres of milk is needed to serve 1600 students. [739.2 litres]
8. A rectangular piece of paper is 22 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder. [385cm3]
9. A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find it volume. If 1cm3 wheat cost is Rs 10, then find total cost. [Rs866.25]
10. The curved surface area of a cylinder is 176 cm2 and its area of the base is 38.5 cm2. Find the volume of the cylinder. [Ans:98 cm3]
GCSE Mathematics Worksheet - Probability
Answer the following
3. There are 300 seeds in a packet of flower seeds.Each seed will grow into a white flower or a yellow flower or a red flower. The probability of a seed growing into a white flower is 0.62. 45 of the seeds are expected to grow into yellow flowers. One of the seeds is chosen at random from the packet. What is the probability that this seed will grow into a red flower?
1. What is the probability of picking two doubles from a pack of dominoes? [Hint: There are 50 dominoes in a pack. 7 of them are doubles.]
2. John picks a card at random from a pack of 52 cards and throws a dice. What is the probability that he will pick the ace of spades and throw a six?
2. John picks a card at random from a pack of 52 cards and throws a dice. What is the probability that he will pick the ace of spades and throw a six?
3. There are 300 seeds in a packet of flower seeds.Each seed will grow into a white flower or a yellow flower or a red flower. The probability of a seed growing into a white flower is 0.62. 45 of the seeds are expected to grow into yellow flowers. One of the seeds is chosen at random from the packet. What is the probability that this seed will grow into a red flower?
4. Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour.
5. Natalie has 8 socks in a drawer.
5 of the socks are black.
3 of the socks are white.
Natalie takes out a sock at random, writes down its colour and puts it back into
the drawer.Then Natalie takes out a second sock, at random, and writes down its colour. Draw tree diagram and Work out the probability that the two socks are the same colour.
5 of the socks are black.
3 of the socks are white.
Natalie takes out a sock at random, writes down its colour and puts it back into
the drawer.Then Natalie takes out a second sock, at random, and writes down its colour. Draw tree diagram and Work out the probability that the two socks are the same colour.
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CBSE 9th Mathematics Worksheet - Probability
Answer the following
1. A bag contains 50 coins and each coin marked from 51 to 100. One coin is
picked up at random. The probability that the number on the coin is not a prime
number is…………………
2. Eleven bags of wheat flour, each marked 5 kg actually contained the following weights of flour (in kg):
4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
3. The record of a weather station shows that out of the past 250 consecutive days,
its weather forecast correct 175 times. What is the probability that on a given
day.
(i) it was correct.
(ii) it was not correct.
4. A die having six faces is tossed 80 times and the data is as below:
Outcome 1 2 3 4 5 6
Frequency 10 20 10 28 8 4
Find (i) P (1) (ii) P (4) (iii) P (6) (iv) P (5).
5. The blood groups of 30 students of class IX are recorded as follows:
(i) A (ii) B (iii) AB (iv) O
6. Given below is the frequency distribution of wages (in Rs.) of 30 workers in a certain factory
Wages
(in Rs.) 110-130 130-150 150-170 170-190 190-210 210-230 230-250
No. of
workers 3 4 5 6 5 4 3
A worker is selected at random. Find the probability that his wages are:
(i) less than Rs. 150
(ii) at least Rs. 210
(iii) more than or equal to 150 but less than 210.
7. Three coins tossed simultaneously 100 times with the following frequencies of
different outcomes.Out come No head one head two head three head
Frequency 14 38 36 12
If the coin tossed again then find the probability.
(i) two heads coming up
(ii) 3 heads coming up
(iii) getting more tails than heads
(iv) at least one head coming up
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IGCSE Mathematics Worksheet - Differentiation (Calculus) -1
Answer the following
1.
Find the maximum value of A.
2.
(c) State whether the turning point is a maximum or a minimum.
3.
4.
Find the coordinates of the point of y=f(x) where the gradient is 8
5.
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(c) State whether the turning point is a maximum or a minimum.
3.
4.
Find the coordinates of the point of y=f(x) where the gradient is 8
5.
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IGCSE Mathematics Worksheet - Vectors-2
Answer the following
1.
OPQ is a triangle. T is the point on PQ for which PT : TQ = 2 : 1.
= a and = b.
= a and = b.
(a) Write down, in terms of a and b, an expression for .
(b) Express in terms of a and b. Give your answer in its simplest form.
2.
ABCD is a parallelogram. AB is parallel to DC. AD is parallel to BC. = p = q
Express, in terms of p and q
(i)
(ii)
= 2b = 2a = 6a
M is the midpoint of PQ and N is the midpoint of OR.
(a) Find the vector 
in terms of a and b.
in terms of a and b.
X is the midpoint of MN and Y is the midpoint of QR.
(b) Prove that XY is parallel to OR.
4. (a)Express in terms of a and/orb
(i) 
(ii)
X is the midpoint of BC.
(b) Express in terms of a and/or b
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