STD VII IPM / MTSE preparation Test

Algebra test - STD VIII and STD IX

numbers

How many 4 digit nos.are there that is divisible by 29 and the sum of digits are equal to 29.

triangles / ratio and proportions

The Ratio of altitudes of a triangle are 1:2:3. Find the ratio of its side.

IPM/MTSE/JMO practice papers

IPM/MTSE/JMO practice papers

Resolve into Factors

Resolve into Factors

X² + 2XY + Y² – 5X – 5Y + 6

HCF and LCM

The HCF of two numbers is 1/6th of the LCM of those two numbers. if one of the numbers is 15, find the other?

LCM and HCF

The product of 2 digit numbers is 2160 and their LCM is 180. Find the 2 numbers.

HCF

Find the HCF of 2923 and 3239

time and work

A certain number of men complete a piece of work in 60 days. if there were 8 men more, the work could be finished in 10 days less. How many men were there originally?

polygon

The sum measure of angles of a regular polygon is 68 rt angles. How many sides does this polygon have?

time and work

16 men can do a piece of work in 16 days. 4 days after they started the work, eight more men joined them. How many days will they take now to complete the work?

Average

The average age of 20 students in a class is 14 years. A student of age 16 leaves them and a new student joins them. Now their average age becomes 13.8 years. What is the age of the new boy?

distance and speed

Nanu travels at 54 km/hr excluding stoppages and at 45 km/hr including stoppages. How many minutes of stoppage is there in an hour?

Answer:

Basis : 1 hour

let distance to be covered be 54 km

so, distance covered with stoppages = 45 km

shortfall in distance covered = 54 - 45 = 9 km

time taken to cover 9 km = 9/54 = 1/6 hour

so, minutes of stoppage per hour = 60 x 1/6 = 10 mins

making the subject - STD VII

geometry - triangle

A triangle has a perimeter of 36 cm. The altitudes of the triangles are in the ratio of 1:2:3. Find the measure of each sides.

Geometry

geometry

IPM mega final probable geometry question

problems of geometry

rotation

Rotation of number 4 counterclockwise by 90 degrees.