Question 1

The area of three rectangular fields are 165 m², 195 m² and 285 m². The three fields are divided into some smaller rectangular parts of equal area. If the breadth of each part is 3 m, then the length of each part is ____ m.
A) 4
B) 15
C) 5
D) 7

Question 2

The zeroes of the quadratic polynomial x² - 3x - 4 are ____.
A) 1 and 3
B) 2  and 4
C) 1  and -1
D) 4 and -1

Question 3

The pair of linear equations  and 8x - 9y = 16 is inconsistent.
A) True
B) False

Question 4

If the sum of the squares of two consecutive natural numbers is 41, then the numbers are ____.
A) 4 and 5
B) 5 and 6
C) 2 and 3
D) 3 and 4

Question 5

The common difference of AP  is ____.
A) -5
B) 0
C) 5
D) 2

Question 6

In a trapezium ABCD, O is the point of intersection of  and BD,  and  If the area of  then the area of ____ cm².
A) 25
B) 20
C) 15
D) 16

Question 7

An ant is at a point having its abscissa as 4  and ordinate as 5.  It moves north for 5  units then west for 6  units. The final position of the ant and the distance between its initial position and final positions are ____.
A)  and  units
B)  and  units
C)  and  units
D)  and  units

Question 8

If  and then sin ß = ____.
A)
B)
C)
D)

Question 9

To construct a tangent at a point T on a circle with the centre at O and radius 5 cm, the steps involved are given below:

(i) Take a point T on the circle and join O and T.

(ii) Produce TR to R1.

(iii) Construct ∠OTR = 90^o.

(iv) Take a point O on a plane paper and draw a circle of radius 5 cm with centre O.

The proper order of the steps of construction is ____.

A) iii, ii, i, iv
B) iv, i, iii, ii
C) iv, iii, i, ii
D) ii, iv, iii, i

Question 10

The mean of five observations is 42. If one of the observation is deleted, then the mean of the remaining observations is 40. The deleted observation is ____.
A) 40
B) 50
C) 52
D) 44