Rithvik's Blog 11+

Sophie has 4 baskets of apples. Each basket has the same number of apples. She gives 18 apples to her friend and then finds she has 54 apples left. How many apples were in each basket to begin with?

Emma has 120 marbles. She decides to give some marbles to her three friends: Alice, Ben, and Charlie. Emma gives Alice twice as many marbles as she gives Ben and gives Charlie 5 more marbles than Ben. After giving away the marbles, Emma has 35 marbles left. How many marbles did Emma give to each of her friends?

In a 3x3 magic square, the sum of the numbers in each row, each column, and both diagonals is the same. The magic square below has some numbers filled in. Can you find the missing numbers?

If x + y = 12 and x - y = 4, what are the values of x and y?

Samantha thinks of a number. She multiplies it by 5 and then subtracts 7 from the result. If the final number is 43, what was the original number Samantha thought of?

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!

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?

  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​

Five years ago, Maria was three times as old as her son. In five years, she will be twice as old as her son. How old are Maria and her son now?

A sequence is defined as follows: a1 = 2, and an + 1 = 2 * an + 3 for n ≥ 1. What is the value of a5?

A sequence of numbers is formed by multiplying the previous number by 3 and then subtracting 2. The first number in the sequence is 1. What is the fifth number in the sequence?

A train travels from Town A to Town B at a constant speed of 80 kilometres per hour (km/h). On the return journey from Town B to Town A, the train travels at a constant speed of 100 km/h. The total travel time for the round trip is 6 hours. How far is Town A from Town B?

If x = 7 and y = 3, what is the value of 2x + 4y?

A sequence of numbers follows this pattern: each number in the sequence is the previous number multiplied by 2 and then subtracted by 3. If the first number in the sequence is 5, what is the fourth number?

John is twice as old as Peter. In 6 years, the sum of their ages will be 54. How old is each one now?

If 1/4 of a number is 7, what is 2/3 of that number

If 2x - 5y = 12 and x + y = 3, find the values of x and y

Solve for x: 2^(3x - 1) = 8

The exterior angles of a regular polygon are given by (3x - 10) degrees and the interior angles are given by (4x + 5) degrees. Determine the number of sides of the polygon.

A geometric sequence has a common ratio of 3 and its third term is 81. Find the first term of the sequence.