Rithvik's Blog 11+

To find the digital root of a number, you add the digits repeatedly until you reach a single digit number. For example, the digital root of 169 is 7 because 1 6 9 16, and 1 6 7 The digital roots of the first 9 square numbers are given in the table below: (a) Complete the table of digital roots of the next nine square numbers.

In a money-bag there are an equal number of 2 pence and 5 pence pieces and no other coins. How many coins are in the bag altogether if the total amount of money is £1.26

When asked how many chickens and cows he had on his farm Mr Brown refused to answer directly, but he did say that the total number of heads was 30 and the total number of legs was 100. How many of each was there?

Each day a shoal of small fish increases in number by 50% but each night a shark eats 300 of them. So if there are 1000 fish on Monday morning, then there will be 1500 by Monday evening but only 1200 left by Tuesday morning! Complete the following tables showing the number of fish each morning.

8. A class of students is set a test with 20 questions. A correct answer scores 5 marks, but a wrong answer loses 3 marks. An answer space left blank scores 0 marks.  (a) Adil answers all of the questions, leaving no blank answer spaces and gets 12 right.  What is his score?   (b) Brett answers 6 out of the 20 questions correctly but leaves 8 answers spaces blank.  What is his score?

 What is the area of this triangle?

In a barn there are only horses and people. If there are 12 heads and 34 legs how many horses and how many people are there?