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Find the ratio of the following: (a) 81 to 108 (b) 98 to 63 (c) 33 km to 121 km (d) 30 minutes to 45 minutes

Solution (a) 81 / 108 81 can be expressed as 3 × 3 × 3 × 3 108 can be expressed as 2 × 2... View Article

Fill in the following blanks: 15 / 18 = ☐ / 6 = 10 / ☐ = ☐ / 30 [Are these equivalent ratios?]

Solution 15 / 18 = ☐ / 6 = 10 / ☐ = ☐ / 30 15 / 18 = (5 × 3) / (6 × 3) = 5 / 6 5 / 6 = (5 × 2) / (6... View Article

Distance travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar.

From the given details we get to know that Distance travelled by Hamid in one hour = 9 km Distance travelled by Akhtar in one hour = 12 km... View Article

See the figure and find the ratio of (a) Number of triangles to the number of circles inside the rectangle. (b) Number of squares to all the figures inside the rectangle. (c) Number of circles to all the figures inside the rectangle.

Solution: From the given figure we get to know that Number of triangles = 3 Number of circles = 2 Number of squares = 2 Total number of... View Article

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of (a) Number of students liking football to number of students liking tennis. (b) Number of students liking cricket to total number of students.

Given Number of students who like football = 6 Number of students who like cricket = 12 Find out We have to determine the ratio of ... View Article

There are 20 girls and 15 boys in a class. (a) What is the ratio of number of girls to the number of boys? (b) What is the ratio of number of girls to the total number of students in the class?

Given that Number of girls = 20 girls Number of boys = 15 boys Find out We have to determine (a) the ratio of the number of girls to... View Article

Draw any circle and mark (a) its centre (b) a radius (c) a diameter (d) a sector (e) a segment (f) a point in its interior (g) a point in its exterior (h) an arc

Solution: (a)The centre of the circle is O. (b) The radius is OC (c) A diameter is (d) A sector is AOC (e) A segment is DE (f) A... View Article

From the figure, identify: (a) the centre of circle (b) three radii (c) a diameter (d) a chord (e) two points in the interior (f) a point in the exterior (g) a sector (h) a segment

(a) The centre of circle is O (b) Three radii are (c) A diameter is (d) A chord is (e) Two points in the interior are O and P (f) A... View Article

Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides, (b) two pairs of opposite angles, (c) two pairs of adjacent sides, (d) two pairs of adjacent angles.

Solution (a) Two pairs of opposite sides are (b) Two pairs of opposite angles are ∠KLM, ∠KNM and ∠LKN, ∠LMN (c) Two... View Article

Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?

Solution PR and QS are the diagonals. They meet at point O which is in the interior of the quadrilateral.... View Article

(a) Identify three triangles in the figure. (b) Write the names of seven angles. (c) Write the names of six line segments (d) Which two triangles have ∠B as common?

Solution: (a) The three triangles are ∠ABD, ∠ACB, ∠ADC (b) The angles are ∠BAC, ∠BAD, ∠CAD, ∠ADB, ∠ADC,... View Article

Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?

Solution Point A lies on the given triangle ABC. It lies neither in interior nor exterior.... View Article

Draw rough diagrams of two angles such that they have (a) One point in common (b) Two points in common (c) Three points in common (d) Four points in common (e) One ray in common

Solution: (a) O is common point between ∠COD and ∠AOB (b) O and B are common points between ∠AOB and ∠BOC (c) O, E... View Article

In the given diagram, name the points(s) (a) In the interior of ∠DOE (b) In the exterior of ∠EOF (c) On ∠EOF

Solution (a) The point in the interior of ∠DOE is A (b) The point in the exterior of ∠EOF is C, A and D (c) The points on... View Article

Illustrate, if possible, each one of the following with a rough diagram: (a) A closed curve that is not a polygon. (b) An open curve made up entirely of line segments. (c) A polygon with two sides.

(a) The below figure is the closed figure but not a polygon (b) The below figure is an open curve made up entirely of line segments (c) No... View Article

Draw any polygon and shade its interior.

The below figure is the polygon with interior shade... View Article

Draw rough diagrams to illustrate the following: (a) Open curve (b) Closed curve

(a) The below figure is the open curve (b) The below figure is the closed curve... View Article

Classify the following curves as (i) Open or (ii) Closed

Solution (a) The given curve is an open curve (b) The given curve is closed curve (c) The given curve is open curve (d) The given curve is... View Article

Consider the following figure of line MN. Say whether following statements are true or false in context of the given figure.

(a) Q, M, O, N, P are points on the line . (b) M, O, N are points on a line segment . (c) M and N are end points of line segment. (d) O and N... View Article

Draw a rough figure and label suitably in each of the following cases:

(a) Point P lies on . (b) and intersect at M. (c) Line l contains E and F but not D. (d) and meet at O. Solutions: (a) (b) (c) (d)... View Article

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