1) Mamta has a cumulative Time Deposit Account in a bank. She deposits Rs800 per month and gets Rs15198 as maturity value. If the rate of interest be 7% p.a., find the total time for which the account was held.
2) The vertical and slant height of a cone are 24cm and 25cm. Calculate (i) curved surface and (ii) volume of the cone.
3) The diameter of an iron sphere is 18cm. The sphere is melted and is drawn into a long wire of uniform cross section. If the length of the wire is 108m. Find its diameter.
4) The marks scored by 40 pupils of a class in a test were as follows:
CLASS: 0 1 2 3 4 5
No. of pupils: 2 4 5 14 11 4
Calculate the mean mark.
5) Solve: 2 ≤ 2x - 3 < 5, x belongs R and mark it on the number line.
6) Find the value of m if (x - m) is a factor of 3x³ + 2x² - 19x + 3m.
7)
If = -3 2 B= x C= -5
0 -5 2 y and AB= C then find the value of x
8) What must be added to each of the number 7, 25, 19, and 35 so that the resulting numbers are in proportion ?
9) simplify:
2tan 40/cot 50 - codec 61/sec 29
10) Using the remainder theorem, find the remainder when 7x³ + 5x² - 4x - 1 is divided by (x +1).
11) Solve: 4x² - 4ax +(a² - b²) = 0
12) The horizontal distance between two towers is 140m. The angle of elevation of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 60m. Find the height of the first tower.
13) Find the Equation of a straight line parallel to y-axis and passing through the point (-3,5).
14) Using step deviation method, Calculate the mean of the following frequency distribution:
Class. Frequency
50-60 9
60-70 11
70-80 10
80-90 14
90-100 8
100- 110 12
110-120 11
16) Prove:
(1+cosA)/(1-cosA) = (cosecA + cotA)²
16) Draw a histogram and hence estimate the mode for the following frequency distribution:
CLASS- interval. Frequency
0-10 2
10-20 8
20-30 10
30-40 5
40-50 4
50-60 3
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