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Consider the statement: Ratio of breadth and length of a hall is 2: 5. Complete the following table that shows some possible breadths and lengths of the hall.

Breadth of the hall (in metres) 10 1.40 Length of the hall (in metres) 25 50 Solution (i) Length = 50... View Article

Cost of a dozen pens is ₹ 180 and cost of 8 ball pens is ₹ 56. Find the ratio of the cost of a pen to the cost of a ball pen.

Given From the given detail we get to know that Cost of a dozen pens = ₹ 180 cost of 8 ball... View Article

Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of (a) Number of students who opted basketball to the number of students who opted table tennis. (b) Number of students who opted cricket to the number of students opting basketball. (c) Number of students who opted basketball to the total number of students.

Given From the given detail we get to know that Total number of students = 1800 Number of students who opted basket... View Article

In a college, out of 4320 students, 2300 are girls. Find the ratio of (a) Number of girls to the total number of students. (b) Number of boys to the number of girls. (c) Number of boys to the total number of students.

Given From the given detail we get to know that Total number of students = 4320 Number of girls =... View Article

There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.

Given From the given detail we get to know that Number of teachers in a school = 102 Number of... View Article

In a year, Seema earns ₹ 1,50,000 and saves ₹ 50,000. Find the ratio of (a) Money that Seema earns to the money she saves (b) Money that she saves to the money she spends.

Given From the given detail we get to know that Money earned by Seema = ₹ 150000 Money saved by her =... View Article

Find the ratio of the following: (a) 30 minutes to 1.5 hours (b) 40 cm to 1.5 m (c) 55 paise to ₹ 1 (d) 500 ml to 2 litres

(a) We have to find the ratio of 30 minutes to 1.5 hours 30 min = 30 / 60 =... View Article

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 ×... 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... 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... 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... 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 ... 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 \(\begin{array}{l}\overline{AB}\end{array} \) (d)... 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 \(\begin{array}{l}\overline{OA}\end{array} \), \(\begin{array}{l}\overline{OB}\end{array} \), \(\begin{array}{l}\overline{OC}\end{array} \) (c) A diameter... 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\(\begin{array}{l}\overline{KL},\overline{NM} and \overline{KN} ,\overline{ML}\end{array} \) (b) Two pairs of opposite angles are ∠KLM, ∠KNM... 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.

(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, ∠ABC, ∠ACB (c)... 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.

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... View Article

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