Seema placed a lightbulb at point O on the ceiling and directly below it placed a table. Now, she put a cardboard of shape ABCD between table and lighted bulb. Then a shadow of ABCD is casted on the table as A'B'C'D' (see figure). Quadrilateral A'B'C'D' in an enlargement of ABCD with scale factor 1 : 2, Also, AB = 1.5 cm, BC = 25 cm, CD = 2.4 cm and AD = 2.1 cm; A = 105°, B = 100°, C = 70° and D = 85°.

(a) What is the measurement of angle A’?

(i) 105°

(ii) 100°

(iii) 70°

(iv) 80°

(b) What is the length of A'B'?

(i) 1.5 cm

(ii) 3 cm

(iii) 5 cm

(iv) 2.5 cm

(c) What is the sum of angles of quadrilateral A'B'C'D'?

(i) 180°

(ii) 360°

(iii) 270°

(iv) None of these

(d) What is the ratio of sides A’B’ and A’D’?

(i) 5: 7

(ii) 7: 5

(iii) 1: 1

(iv) 1 : 2

(e) What is the sum of angles of C’ and D’?

(i) 105°

(ii) 100°

(iii) 155°

(iv) 140°

100m RACE A stopwatch was used to find the time that it took a group of students to run 100 m.

a. Estimate the mean time taken by a student to finish the race.

(i) 54

(ii) 63

(iii) 43

(iv) 50

b. What will be the upper limit of the modal class?

(i) 20

(ii) 40

(iii) 60

(iv) 80

c. The construction of cumulative frequency table is useful in determining the

(i) Mean

(ii) Median

(iii) Mode

(iv) All of the above

d. The sum of lower limits of median class and modal class is

(i) 60

(ii) 100

(iii) 80

(iv) 140

e. How many students finished the race within 1 minute?

(i) 18

(ii) 37

(iii) 31

(iv) 8

In a room, 4 friends are seated at the points A, B, C and D as shown in figure. Reeta and Meeta walk into the room and after observing for a few minutes Reeta asks Meeta.

(a) What is the position of A?

(i) (4, 3)

(ii) (3, 3)

(iii) (3, 4)

(iv) None of these

(b) What is the middle position of B and C?

(i)

(ii)

(iii)

(iv) None of these

(c) What is the position of D?

(i) (6, 0)

(ii) (0, 6)

(iii) (6, 1)

(iv) (1, 6)

(d) What is the distance between A and B?

(i)

(ii) 2

(iii)

(iv)

(e) What is the equation of line CD?

(i) x - y - 5 = 0

(ii) x + y - 5 = 0

(iii) x + y + 5 = 0

(iv) x - y + 5 = 0

An electrician has to repair an electric fault on the pole of height 5 m. She needs to reach a point 1.3 m below the top of the pole to undertake the repair work (see figure)

(a) What is the length of BD?

(i) 1.3 m

(ii) 5 m

(iii) 3.7 m

(iv) None of these

(b) What should be the length of Ladder, when inclined at an angle of 60° to the horizontal?

(i) 7.4 m

(ii) m

(iii) 3.7 m

(iv) m

(c) How far from the foot of pole should she place the foot of the ladder? (i) 3.7

(ii) 2.14

(iii)

(iv) None of these

(d) If the horizontal angle is changed to 30°, then what should be the length of the ladder?

(i) 7.4 m

(ii) 3.7 m

(iii) 1.3 m

(iv) 5 m

(e) What is the value of B?

(i) 60°

(ii) 90°

(iii) 30°

(iv) 180°

What is the radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm?