Rithvik's Blog 11+

  In a magical land, there are three mystical numbers. When added together, they total 30. When multiplied, the result is exactly 500. Can you figure out what these three numbers are? Remember, they might not all be whole numbers. Take your time to think about this arithmetic challenge. If you need a hint or are ready to see the solution, just let me know!

  In the sequence below, two numbers are missing. Can you figure out what they are? 2 , 6 , _ , 18 , 22 , 26 , _ , 38 2 , 6 , _ , 18 , 22 , 26 , _ , 38 Take your time to think about the pattern in this sequence and when you're ready, let me know your answer! If you need a hint, feel free to ask.

If x and y are two numbers such that � + � = 10 x + y = 10 and � − � = 4 x − y = 4 , what is the value of � 2 − � 2 x 2 − y 2 ? Take your time to work through the problem, and let me know when you're ready for the solution or need a hint!

  In a circle with radius 10 cm, two chords AB and CD intersect at point E inside the circle. The distances from E to the points A, B, C, and D are 8 cm, 6 cm, 9 cm, and 7 cm respectively. Calculate the area of the quadrilateral ABDC.

Sophia is reading a book. On the first day, she reads 1/5 of the pages plus 12 more. On the second day, she reads 1/4 of the remaining pages plus 15 pages. On the third day, she reads 1/3 of the remaining pages plus 18 pages. After this, she has 1/4 of the book left to read. How many pages are there in the book?

A chest is locked with a 5-digit code. The clues to the code are as follows: The first digit is a prime number. The second digit is twice the first. The third digit is the smallest odd number. The fourth digit is the difference between the third and first digit. The last digit is the sum of the first and fourth digit. What is the code to unlock the chest?

  If a time traveler moves forward in time by 15 years, and then goes back 10 years, and finally moves forward 5 years, she finds herself in the year 2030. In what year did she originally start her time travel?

There are 6 red apples, 4 green apples, and 2 yellow apples in a basket. If you reach into the basket without looking, what is the probability of picking a green apple?

In a series of shapes,  each shape is created by adding a smaller shape to a larger shape.   The first shape is a square,   the second shape is created by adding a triangle to the square,   and the third shape is created by adding a circle to the second shape.   What is the fourth shape?

  Alice thinks of a number and calls it a . She adds 7 to her number and then doubles the result. Write an expression, using a , to show what Alice does​

  A rectangular garden measures 30 meters in length and 20 meters in width. A path of 1 meter width runs along the inside perimeter of the garden. What is the area of the garden excluding the path?

On an 8x8 chessboard, a knight is placed at one corner. What is the total number of squares (including the one it starts on) the knight can move to in its first move? Remember, a knight moves in an L-shape: two squares in one direction and then one square perpendicular to that, or one square in one direction and then two squares perpendicular to that.