Page 296 - ICSE Math 7

24. A stick is divided into three parts of lengths (4x + 2y – 3) cm, (7y – 2x + 9) cm and (x – 3y – 2)
cm. Find the original length of the stick.
25. A father is 28 years elder than his son. The sum of their ages is 52 years, find their present ages.

26. Divide 48 into two parts in such a way that one-third of one part is equal to one-fifth of the
other.

2 1
27. Solve: x + 1 > x − , x ∈ W
3 5
(8x + 3)
28. Solve: ≤ 5 , x ∈ {–4, –3, 5, 6, 9, 12, 15, 17}
5
29. Write the complement of 36° 14′ 5″. l

A x B
30. In the given figure AB || CD, find the value of x. 65°
C D

31. Use the properties of triangles to find the unknown angles in the following figures.

(a) (b)
x x
y 40°

65° y 130° 127°

32. If one angle of a triangle is equal to 70° and the other two are in the ratio 4 : 7. Find the other
two angles.
33. If ∆XYZ ≅ ∆LMN, find the following:
X L

45°

60° 60°
Y Z M N
(a) ∠L (b) ∠N (c) ML

34. If two angles are congruent, then what can be said about their measure?
35. For the following, write whether the axis of symmetry is vertical or horizontal.
(a) (b) (c)

36. Complete the given figure such that the dotted line becomes the line of
symmetry.

37. Draw an isometric sketch and an oblique sketch of a cuboid of length 4 cm, breadth 3 cm and
height 3 cm.

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