(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Find the measures of all the angles of the parallelogram shown in the figure:

In the given figure, ABCD is a parallelogram, find the values of x and y.

The angles of a triangle formed by 2 adjacent sides and a diagonal of a parallelogram are in the ratio 1 : 5 : 3. Calculate the measures of all the angles of the parallelogram.

PQR is a triangle formed by the adjacent sides PQ and QR and diagonal PR of a parallelogram PQRS. If in ΔPQR, ∠P : ∠Q : ∠R = 3 : 8 : 4, Calculate the measures of all the angles of parallelogram PQRS.

Find the class boundaries and class marks of the following classes:
55 - 59, 60 - 64, 65 - 69, 70 - 74, 75 - 79, 80 - 84, 85 - 89, 90 - 94 and 95 - 99.

Find the actual (or true) lower and upper class limits and class-marks (or mid values) of the following classes: 2.1 - 4.0, 4.1 - 6.0 and 6.1 - 8.0.

The number of goals scored by Arsenal Football Club in the English Premier League in the season 2007 were:
1, 2, 1, 3, 2, 5, 1, 6, 4, 4, 2, 3, 5, 6, 4, 2, 2, 3, 4, 1, 0, 5, 0, 5, 3, 2, 3, 4, 4, 1, 1, 2, 4, 3. 1. 4
Arrange these data in a distance frequency distribution table and answer the following:
(i) What is the range of the number of goals scored by AFC?
(ii) How many times did AFC score 3 or more than 3 goals?
(iii) Which variatie has the highest frequency?

If the class intervals of a frequency distribution are 5 - 12, 13 - 20, 21 - 28, 29 - 36, 37 - 44, 45 - 52 and 53 - 60, find the following:
(i) The class limits and class boundaries of 21 - 28
(ii) The class size and the class mark of the class interval 45 - 52.
(iii) Find the true class limits of all the class intervals.

The class marks of a frequency distribution are: 15, 25, 35, 45, 55, 65 and 75. Determine the class limits.

The class marks of a frequency distribution are: 27, 32, 37, 42, 47, 52, 57, 62, 67, 72 and 77. Find the class size and true class limits.

Construct a regular hexagon of side 3.5cm

Construct a regular hexagon of side 4cm.

The radii of two circles are in the ratio 5 : 8. If the difference between their areas is 156p cm², find the area of the bigger circle.

The diameters of three wheels are in the ratio 2 : 4 : 8. If the sum of the circumferences of these circles be 132 cm, find the difference between the areas of the largest and the smallest of these wheels.

The area of the circular ring enclosed between two concentric circles is 88 cm². Find the radii of the two circles, if their difference is 1 cm.

Find the area enclosed between two concentric circles, If their radii are 6cm and 13cm respectively.

A 7m wide road surrounds a circular garden whose area is 5544m². Find the area of the road and the cost of tarring it at the rate of Rs.150 per m².

Two circles touch each other externally. The sum of their areas is 58πcm² and the distance between their centres us 10cm. Find the radii of the two circles.

The sum of diameters of two circles is 112cm and the sum of their areas is 5236cm². Find the radii of the two circles.

The sum of the radii of two circles is 10.5 cm and the difference of their circumferences is 13.2 cm. Find the radii of the two circles.