Enfant India English school
Std: lX,
Subject: Maths: l
Marks, (40)
Q.1.A) Choose the correct alternative answers for the following questions.
(4)
1) What is the solution of the equations.
8x+3y=5 and 3x-2y=5 ?
A) [1,1} (B) {-1,-1}
(C) {-1,1} (D) {1,-1}
2) What is the ratio of
1m to 1 cm ?
A) {1:10} (B) {10:1}
(C) {1:100} (D) {100:1}
3) The ratio of numbers is 4:7 If their sum is 319 then what are the numbers.
A) 112 and 207
B) 108 and 211
C) 116 and 203
D) 120 and 199
4) What is the class mark of the class 20.......30?
A) 25
B) 26
C) 25•5
D)26•5
(B) Solve the following subquestions.
(4)
1) Find the geometric mean of 16 and 36 .
2) Write the equation X+5=3y in general form.
3) Find the mean of the first 5 Natural numbers.
4) If the class mark of a class is 20 and the class width is 12 then find the class.
Q.2) Solve the following questions. ( any six)
(12)
1) Find the median of the observations.
59, 60, 70, 35,48,20
2) If {25-x} is the mean proportional of {10-x} and {14-x} then find the value of X.
3) The ratio of two numbers is 41:25 and their sum is 400 find these number.
4) 2X -3y=10, 4x-5y=15
5) Find the mean of the following numbers.
47, 62, 53, 31, 48, 76, 80
6) The sum of two numbers is 125 and their difference is 25
7) If a/b= 6/5 then find a³-b³/5b³
Q.3) Solve the following questions. (any 3)
(9)
1) In a tree plantion project a certain school there are 26 students of Harit sena .The record of sapling planted by each student is given below.
3, 5, 7, 6, 3, 5, 4, 3, 5, 4, 7, 5, 3, 4, 3, 5, 7, 3, 4, 5, 6, 4, 5, 7, 2, 3
2) 3 books and 10 pens together cost 300 2 books and 3 pens together cost 145 find the cost 1 book and 3 pens.
3) A hockey player scored following number of goals in 9 matches.
5, 4, 0, 2, 2, 4, 5, 3, 4
Find (I) mean (ii) median ( iii) mode of the data
Q.4) solve the following questions. ( any two)
(8)
1) a, ,b ,c , d, are in proportion if b+c =7, a+d=8, a²+b²+c²+d²=65 then find the values of a, b, c, and d,
2) The mean of 35 observations is 20 . If the mean of first 18 observation is 15 and that of last 18 observations is 25. find the 18th observation.
3) The total number of lions and peacocks in a zoo is 50. The total number of their legs is 140. Find the number of lions and peacocks in the Zoo.
Q.5) Solve the following questions. ( any one)
(3)
1) The mean of nine numbers is 77 If one more number is added to it then the mean increase by 5. Find the number added in the data.
2) 5x+ 7y=17, 7x+5y=19
Subject: Maths:ll
Marks, (40)
Q.1.A) Choose the correct alternative answers for each of the following questions:
1) If the radius of the circle is 5•2 cm, then the length of longest chord is...................
A) 10 cm
B) 10•4 cm
C) 12 cm
D) 14 cm
2) tan 45°- sin² 45°+ cos² 45°=?
A) -1
B) 0
C) 1
D) √3
3) cos 50°=?
A) sin 50°
B)tan 50°
C) sin 40°
D) tan 40°
4) The volume of a cube is 1000 cm³. What is the area of its vertical faces?
A) 600 cm²
B) 400 cm²
C) 60 cm²
D) 40 cm²
B) solve the following subquestions.
(4)
1) State in which quadrant or on which axis do the following points lie.
A) {-3,2} B) {-5,-2}
2) How many lines are there which are parallel to X axis and having a distance 5 units?
3) Cos² 45°+ sin² 30
4) r=6cm, h= 8cm Find slant height.
Q.2) Solve the following questions ( any six)
1) Distance of chord AB from the center of a circle is 8cm length of the chord AB is 12cm. Find the diameter of the circle.
2) On a graph paper plot the points A{3,0} B{3,3} C{0,3} Join A, B, and B,C what is the figure formed.
3) IF sinθ =4/5 the find cosθ
4)Total surface area of cube is 5400 sq cm find the surface area of all vertical faces of the cube.
5) Perpendicular height of a cone is 12 cm and its slant height is 13cm. Find the radius of the base of the cone.
6)Prove that a perpendicular drawn from the centre of a circle on its chord
bisects the chord.
7) In a circle with radius 13cm two equal chords are at a distance of 5cm from the centre find lengths of the chords.
Q.3) Solve the following questions.
(9)
1) The length breadth and height of a cuboidal tank are 7m. 6m and 5m respectively find its volume and total surface area.
2) Draw the graphs of the equations. Find the
x+y=6, 3x+y=8
3) Cosθ = 24/25. find
Sinθ and tan θ
Q.4) Solve the following questions. (any two)
{8}
1) Construct in circle and circumcircle of an equilateral ∆DSP with side 7•5 cm.
2) The surface area of a sphere is 394• 24cm² If its radius is decreased by 25% What will be the decrease in the surface area?
3) Radius of a circle is 34cm and distance of the chord from the centre is 30cm find the length of the chord.
Q.5) Solve the following questions. ( any one)
1) The volume of a cylinder is 200cm³ its height is 10cm find the area of the base.
2) In right angled ∆ABC If <c=90° AC=3, BC=4, Find the ratios sin A, sin B, cos A, tan B.
