Page 325 - Start Up Mathematics_7

12. Draw all the lines of symmetry of the following figure.

13. If the measure of one supplementary angle is twice the other then find the measure of each angle.
14. Find the mean score of a cricketer who scored the following runs in six innings:
58, 79, 82, 0, 48, 63
15. Construct a right-angled ∆ PQR, where m ∠Q = 90°, QR = 8 cm and PR = 10 cm.
16. Find the area of a rhombus whose diagonals are 10 cm and 8 cm each.
17. If two cubes of dimensions 2 cm by 2 cm by 2 cm are placed side by side, what would be the dimensions
of the resulting cuboid?

Section C

Question number 18 to 21 carry 3 marks each.
18. In the given figure DA ⊥ AB, CB ⊥ AB and AC = BD. State three D C
pairs of equal parts in ∆ ABC and ∆ DAB. Which of the following
statement is correct?
(a) ∆ ABC ≅ ∆ BAD (b) ∆ ABC ≅ ∆ ABD
19. The ages in years of 10 teachers in a school are:
32, 41, 28, 54, 35, 26, 26, 33, 38, 40
(a) What is the range of ages of the teachers? A B
(b) What is the mean age of the teachers?
(c) What is the modal age of the teachers? A
20. In the given figure, the arms of two angles are parallel. If ∠DGC = 60°
then find: D
(a) ∠ABG (b) ∠CGE
(c) ∠GEF
21. In a parallelogram the base and the corresponding altitude are in the B G 60° C
ratio of 4 : 5 and its area is 720 cm . Find the measure of its base and
2
altitude. E F
Section D
Question number 22 to 25 carry 6 marks each.
22. Two paths each of width 5 m are running perpendicular to each other in the middle of a rectangular
park 120 m by 60 m. Find the area of the path and also the cost of gravelling the path at the rate of ` 5
per metre square.
23. The data given below shows favourite sports of students in a university.

Favourite sports Baseball Football Cricket Hockey Swimming
No. of students 28 48 96 32 40
Draw a bar graph on the basis of the above data.
24. Two poles 18 m and 13 m high stand upright in a playground. If their feet are 12 m apart, find the
distance between their tops.
25. A horse is tethered to one corner of a rectangular field measuring 60 m by 40 m. The rope is 28 m long.
22
How much area can the horse graze? (Take  = )
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