Rithvik's Blog 11+

You have a deck of 52 cards. What is the probability of drawing two consecutive aces (drawing one ace and then another without replacement)?

Jane is twice as old as Mark. If Mark is 10 years old, how old is Jane?

If you roll a fair six-sided die, what is the probability of rolling an even number?

Solve for x: 3(x+2)−2(2x−1)=4(3−x)+5

Solve for x 4(2x−3)−2(3x+1)=5(2−x)+7

Solve for x: 2(x − 3) + 3(2x + 1) = 4(3x − 2) − 5

Solve for x: 5x - 3 + 2(3x+4) = 4(2x-1) + 7

Solve for x: 3(2x−4)+2(3x+1)=5(4x−2)−7

Solve for x: (3x + 7)(2x - 5) = 4x^2 + 11x - 35

Simplify the following expression: 2(3x + 5) - (x - 4)

Solve for x: 5x + 3 = 2x - 10

The sum of the first 10 terms of an arithmetic sequence is 120, and the common difference between consecutive terms is 5. What is the first term of the sequence?

Three friends, Alice, Bob, and Carol, are comparing their ages. Alice is twice as old as Bob, and Carol is three years older than Bob. The sum of their ages is 45 years. How old is each person? Take your time to set up equations based on the given information and solve for the ages of Alice, Bob, and Carol.

A rectangular garden is 15 meters long and 12 meters wide. The garden is divided into two equal sections by a diagonal path that runs from one corner to the opposite corner. What is the length of the diagonal path?

Solve for the value of x 2(x + 3) - 4(2x - 5) = 3(4x + 2)