Date & Time: 11th March 2019, 11:00 am
Duration: 2h
1) All questions are compulsory.
2) Use of calculator is not allowed.
3i) Figures to the right of questions indicate full marks.
Find the median of :
66, 98, 54, 92, 87, 63, 72.
Chapter: [0.06] Statistics
Multiply and write the answer in the simplest form :
`5sqrt7 xx 2sqrt7`
Chapter: [0.03] Arithmetic Progression
If 3x + 5y = 9 and 5x +3y = 7, Then Find the Value of X + Y
Chapter: [0.01] Linear equations in two variables
Write the ratio of second quantity of first quantity in the reduced form :
5 dozen pens, 120 pens
Chapter: [0.04] Financial Planning
Write the following polynomial in coefficient form :
2x^{3} + x^{2} - 3x +4
Chapter: [0.01] Linear equations in two variables
For computation of income tax which is the assessment year of financial year 01-04-2016 to 31-03-2017 ?
Chapter: [0.04] Financial Planning
Find the value of the polynomial 2x^{3} + 2x , when x = -1
Chapter: [0.01] Linear equations in two variables
If A = {11, 21, 31, 41}, B = {12, 22, 31, 32}, then find :
(1) A ∪ B
(2) A ∩ B
Chapter: [0.03] Arithmetic Progression
Sangeeta’s monthly income is Rs. 25,000. She spent 90% of her income and donated 3% for socially useful causes. How much money did she save ?
Chapter: [0.04] Financial Planning
In the A.P. 2, –2, –6, –10, ..... common difference (d) is :
–4
2
–2
4
Chapter: [0.03] Arithmetic Progression
For the quadratic equation x^{2} + 10x -7 =0 , the value of a ,b,c are :
a = –1, b = 10, c = 7
a = 1, b = –10, c = –7
a = 1, b = 10, c = –7
a = 1, b = 10, c = 7
Chapter: [0.02] Quadratic Equations
The tax levied by Central Government for trading within a state is :
IGST
CGST
SGST
UTGST
Chapter: [0.04] Financial Planning
If a die is rolled, what is the probability that number appearing on upper face is less than 2 ?
`1/3`
`1/2`
1
`1/6`
Chapter: [0.05] Probability [0.05] Probability
First term and common difference of an A.P. are 12 and 4 respectively. If t_{n} = 96 find n.
Chapter: [0.03] Arithmetic Progression
If `|( 4,5), (m , 3)| = 22, "then find the value of m."`
Chapter: [0.01] Linear equations in two variables
Solve the following quadratic equation :
x^{2} +8x + 15 = 0
Chapter: [0.02] Quadratic Equations
Smita has invested Rs. 12,000 to purchase shares of FV Rs.10 at a premium of Rs.2. Find the number of shares she purchased. Complete the given activity to get the answer.
Activity : FV = Rs. 10, Premium = Rs. 2
∴ MV = FV + _{} = _{} + 2 = 12
`therefore "No. of .shares" ="total investment"/"MV" = square/12 = square "shares"`
Chapter: [0.04] Financial Planning
The following table shows the daily supply of electricity to different places in a town. To show the information by a pie diagram, measures of central angles of sectors are to be decided.
Complete the following activity to find the measure :
Places |
Supply of electricity (Thosand units) |
Measure of central angle |
Roads | 4 | `4/30 xx 360 = 48^circ` |
Factories | 12 | `square/square xx 360=144^circ` |
shops | 6 | `6/30xx360 = square` |
Houses | 8 | `square/squarexx360=square` |
Total ⇒ | 30 |
Chapter: [0.06] Statistics [0.06] Statistics
Two coins are tossed simultaneously. Complete the following activity of writing of the sample space (S) and expected outcomes of the events :
1) Event A : to get at least one head.
2) Event B : to get no head.
Activity : If two coins are tossed simultaneously
∴ s = {`square , "HT","TH", square`}
1) Event A : at least getting one head.
∴ A = {`"HH" , square , "TH"`}
2) Event B : to get no head.
∴ B = {`square`}
Chapter: [0.05] Probability
Find the 19th term of the A.P. 7, 13, 19, 25, ............,
Chapter: [0.03] Arithmetic Progression
Obtain a quadratic equation whose roots are –3 and –7.
Chapter: [0.02] Quadratic Equations
Two numbers differ by 3. The sum of the greater number and twice the smaller number is 15. Find the smaller number?
Chapter: [0.01] Linear equations in two variables
Amit saves a certain amount every month in a specific way. In the first month, he saves Rs. 200, in the second month Rs. 250, in the third month Rs.300 and so on. How much will be his total savings in 17 months?
Chapter: [0.03] Arithmetic Progression
A two digit number is to be formed using the digits 0, 1, 2, 3. Repetition of the digits is allowed. Find the probability that a number so formed is a prime number.
Chapter: [0.05] Probability [0.05] Probability
Smt. Malhotra purchased solar panels for the taxable value of Rs. 85,000. She sold them for Rs. 90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her?
Chapter: [0.04] Financial Planning
Solve the following simultaneous equations graphically :
x + y = 0; 2x – y = 9
Chapter: [0.01] Linear equations in two variables
The following frequency distribution table shows marks obtained by 180 students in Mathematics examination
Marks | No .of. students |
0 - 10 | 25 |
10 - 20 | x |
20 - 30 |
30 |
30 - 40 | 2x |
40 - 50 | 65 |
Find the value of x.
Also draw a histogram representing the above information.
Chapter: [0.06] Statistics [0.06] Statistics
Two taps together can fill a tank completely in `(3)1/13` minutes. The smaller tap takes 3 minutes more than the bigger tap to fill the tank. How much time does each tap take to fill the tank completely?
Chapter: [0.01] Linear equations in two variables
The co-ordinates of the point of intersection of lines ax + by = 9 and bx + ay = 5 is (3, –1). Find the values of a and b.
Chapter: [0.01] Linear equations in two variables
The following frequency distribution table shows the distances travelled by some rickshaws in a day. Observe the table and answer the following questions
Class (daily distance travelled in km) | continuous classes | Frequency (no.of. rickshaws) | Cumulative frequency less than type |
60 - 64 | 59.5 - 64.5 | 10 | 10 |
65 - 69 | 64.5 -69.5 | 34 | 10+34=44 |
70 - 74 | 69.5 - 74.5 | 58 | 44+58=102 |
75 - 79 | 74.5 - 79.5 | 82 | 102+82=184 |
80 - 84 | 79.5 - 84.5 | 10 | 184+10=194 |
85 - 89 | 84.5 - 89.5 | 6 | 194+6=200 |
1) Which is the modal class? Why?
2) Which is the median class and why?
3) Write the cumulative frequency (C.F) of the class preceding the median class.
4) What is the class interval (h) to calculate median?
Chapter: [0.06] Statistics
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