Rithvik's Blog 11+

Amy, Bella and Cara have twenty sweets altogether.  Amy says she has ten of the sweets. Bella says that Cara has one more sweet than Amy. Cara says that she has the most sweets.  Exactly one of them is lying.  Who is lying?  Explain briefly how you know.

 Write down two numbers which differ by 2 and multiply to 168.

The Eiffel tower in Paris was built in 1889 and is 1051 feet tall. In 1931 New York’s Empire State Building was completed which is 1472 feet tall.   How many years elapsed between the building of the Eiffel tower and the Empire State?

A train leaves London and travels at a steady speed of 120mph to Edinburgh. Before reaching Edinburgh, the train stops in Leeds after travelling for one and a half hours. The distance from London to Edinburgh is 420 miles. Use this information to answer the following: (a) How long does the train take to travel from London to Edinburgh?

In the triangles shown below each number is the sum of the two numbers directly underneath it. For example, 26 = 12 + 14 and 5 = 1 + 4. Complete the triangle of numbers.

Class 6A go on a Geography trip to Eastbourne and investigate the size of pebbles on the beach. Jonnie picks up seven small pebbles and measures their lengths in millimetres.  The lengths of the first six pebbles are:  1, 1, 1, 4, 7, 13  Assuming that the pattern that you observed above continues to hold, work out the length of Jonnie’s seventh pebble.

Four bells ring at intervals of 2, 8, 7 and 11 seconds.  If they are all rung at the same time, how many seconds will pass before they all ring at the same time again?

 Three bicycles are priced at £79, £80 and £84. If the shopkeeper decided to sell them for the same total amount, but made the three prices equal, what would each cost?

In the grid below, each symbol represents a number. The total of each row and column is shown.  Work out which number each symbols represent.

The notation 4! is used as an abbreviation for the product 4 * 3 * 2 * 1 so that 4! = 24.  Similarly, 9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 * =  362880. Work out: 3! 10! 100!/98!

The symbol ϕ represents a mathematical rule.  The rule for ϕ is “add the two numbers and then multiply their sum by the second number”.  For example, 2 ϕ 3 = (2 + 3) × 3 = 5 × 3 = 15  Work out: 1) 2 ϕ 6 2) 1/2 ϕ 3