1.
If a² – b² = 36 and a + b =4, then (a – b)² =———-
2.
4n = 4096, then find 2n – 5.
3.
In a shooting game, if we hit a balloon, we get 50 points and if we miss the balloon, we lose 30 points. A person hits 30 balloons and misses 35 balloons. Find his net score.
4.
The expanded form of (x + y ) (x – y) is a :——
5.
The HCF of two numbers is 6 and the product of two numbers is 360. Find the LCM of the numbers.
6.
( a – 1 ) ( a² + a + 1 ) = ?
7.
If x and y are the smallest and the greatest four digit numbers formed by using 1, 5, 0 and 9, then find y – x.
8.
Twelve men, working at 8 hours a day, can do ½ of a piece of work in 9 days. In how many days can 24 men working at 6 hours a day can do ¾ of the same work ?
10.
Which of the following is/are perfect squares?
11.
a6 < 1000, Find the greatest possible values of the whole number 'a'.
12.
In how many years will a certain sum becomes seven times of itself at 15% per year simple interest ?
13.
Find the H.C.F of (18p²qr³), (24pq²r) and (27 p³qr²).
14.
What distance will a train cover in 1.2 minute travelling at 72 km/h ?
15.
(2x − 6y)² – (6y + 8x)²= ?
16.
What is the multiplicative identity element in the set of integers?
17.
Find the degree of q[(x³ – x²)²].
18.
Rs 2000 is lent out at 0.3% per month for 10 years under simple interest. Calculate the amount.
19.
Find the degree of (x² – x )²
20.
15 men, working at 8 hours a day, can do two third of a piece of work in 16 days. In how many days can 18 men working at 10 hours a day do ¼ of the same work ?