math games for grade 9

Question: Answer: ..

Question: How many words of different 4 letters can be formed out of 7 capital letters, 3 vowels and 8 consonants, if each word starts with a capital letter and contains at least one vowel? Answer: Any capital letter can be chosen as the first letter of each word. So there are 7 ways of..

How many numbers are there between 100 and 1000 such that every digit is either 2 or 9..

Solve the system of linear equations. x +2y + 3z = 6 2x + 4y + z = 7 3x + 2y + 9z = 14 using Cramer's rul..

Each one of the following series form an A.P. i) 1, 3, 5, 7, ii) 3, 7, 11, 15, iii) 15, 12, 9, iv) x, x - d, x - 2d, ..... The common difference is found by subtracting any term of the series from the immediate succeeding term. In the above example, common difference in the first is..

Which of these games is fair? => Toss a coin five times. You get 2 points for each head. Your friend gets 1 point for each head. or Roll a dice 10 times. You win if you roll a 3 seven times. Your friend wins if she rolls a 3 five times. or There are 5 gray, 5 black, and 5 blue marbles in ..

Team-A lost 7 games less than Team-B in a games competition held by the school management. How many games had Team-B lost, if Team-A lost 9 games? => 16 or 18 or 2 or None of the above..

The frequency table shows the number of games won by each country. Find the difference between the number of games won by Japan and that by Brazil. => 9 or 4 or 10 or None of the above..

A computer selects a random number from 2 to 9. Edward wins, if the number is prime. Otherwise the computer wins. Is this game fair? => Yes or No..