Which of the following will have 4 at the units place? (a) 142 (b) 622 (c) 272 (d) 352
The correct answer is (b) 622 Explanation The square of a number having 2 or 8 at the units place... View Article
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A number ending in 9 will have the units place of its square as (a) 3 (b) 9 (c) 1 (d) 6
The correct answer is (c) 1 Explanation If a number has 1 or 9 in its units place, then its... View Article
Which of the following is a square of an even number? (a) 144 (b) 169 (c) 441 (d) 625
The correct answer is (a) 144 Explanation Squares of even numbers are even, i.e, (2n)2 = 4n2. Square of even number... View Article
196 is the square of (a) 11 (b) 12 (c) 14 (d) 16
The correct answer is (c) 14 Explanation 14 × 14 = 196 196 is the square of 14
2. What shape is (a) Your instrument box? (b) A brick? (c) A match box? (d) A road-roller? (e) A sweet laddu?
Solution: (a) The shape of an instrument box is cuboid (b) The shape of a brick is cuboid (c) The... View Article
Match the following and give two new examples of each shape.
Solution: (a) Traffic cone and Waffle cone are examples of cone (b) Moonand Sun are examples of sphere (c) Gas cylinder... View Article
A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.
Solution From the figure we may find AC, AD, BD, BE and CE are the diagonals
Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.
Solution The below figure is a regular octagon in which a rectangle is drawn by joining four of the vertices... View Article
Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.
Solution We can draw an isosceles triangle by joining three of vertices of a hexagon as shown in below figure
Name each polygon and make two more examples of each of these.
Solution (a) It is a closed figure and is made of four line segments. Hence, the given figure is a... View Article
Examine whether the following are polygons. If any one among them is not, say why?
Solution: (i) The figure given above is not a closed figure. Hence, it is not a polygon. (ii) The figure given above... View Article
A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?
Solution: Square is a regular quadrilateral because all the interior angles are of 900 and all sides are of same... View Article
Give reasons for the following: (a) A square can be thought of as a special rectangle.(b) A rectangle can be thought of as a special parallelogram.(c) A square can be thought of as a special rhombus. (d) Squares, rectangles, parallelograms are all quadrilaterals.(e) Square is also a parallelogram.
Solution: (a)A rectangle in which all the interior angles are of same measure i.e 900 and only opposite sides of the... View Article
Say True or False: (a) Each angle of a rectangle is a right angle. (b) The opposite sides of a rectangle are equal in length. (c) The diagonals of a square are perpendicular to one another. (d) All the sides of a rhombus are of equal length. (e) All the sides of a parallelogram are of equal length. (f) The opposite sides of a trapezium are parallel.
Solution: (a) The given statement is True. Each angle of a rectangle is a right angle (b) The given statement... View Article
Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with (a) 3 matchsticks? (b) 4 matchsticks? (c) 5 matchsticks? (d) 6 matchsticks? (Remember you have to use all the available matchsticks in each case) Name the type of triangle in each case. If you cannot make a triangle, think of reasons for it
Solution: (a)By using three match sticks we can construct a triangle as shown below The triangle shown above is an... View Article
Name each of the following triangles in two different ways: (you may judge the nature of the angle by observation)
Solution: (i)The given figure represents Acute angled and isosceles triangle (ii)The given figure represents Right angled and scalene triangle (iii)The given... View Article
Name the types of following triangles: (a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm. (b) ∆ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm. (c) ∆PQR such that PQ = QR = PR = 5 cm. (d) ∆DEF with ∠D = 90° (e) ∆XYZ with ∠Y = 90° and XY = YZ. (f) ∆LMN with ∠L = 30°, ∠M = 70° and ∠N = 80°
Solution (a) Scalene triangle (b) Scalene triangle (c) Equilateral triangle (d) Right angled triangle (e) Right angled isosceles triangle (f)... View Article
Study the diagram. The line l is perpendicular to line m (a) Is CE = EG? (b) Does PE bisect CG? (c) Identify any two line segments for which PE is the perpendicular bisector. (d) Are these true? (i) AC > FG (ii) CD = GH (iii) BC < EH.
Solution: (a) Yes, since, CE = 2 units and EG = 2 units respectively (b) Yes. Since, CE = EG... View Article
There are two set squares in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?
Solution The measure of angles in one set square are 300, 600 and 900 The other set square has a measure... View Article
Let [latex]overline{PQ}[/latex] be the perpendicular to the line segment [latex]overline{XY}[/latex] . Let[latex]overline{PQ}[/latex]and[latex]overline{XY}[/latex] intersect in the point A. What is the measure of ∠PAY?
Solution From the figure we note that the measure of ∠PAY is 900
