Rithvik's Blog 11+

A theme park wants to make more money. The director thinks that if she reduces the ticket price by one-third, the number of people who come to the theme park will double.  a. In 2016, the park made £360 from ticket sales. Tickets were £4.50. How much money does the director think the theme park will make in 2017?  b. In fact, the theme park makes £390. How many more people went to the theme park in 2017 compared to 2016?

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

A bag contains 49 red balls and 1 blue ball. How many red balls should be removed for the bag to contain 90% red balls?

 I am keeping the last unanswered questions free for you to answer. Try and answer as many as you can!

The numbers 34 and 55 are two examples of two-digit numbers which are made up using the digits 3, 4 and 5. How many two-digit numbers in total can be made using some or all of the digits 3, 4 and 5? 

Four friends, Alex, Ben, Cory and Dani have lunch together. Although each eats a differently priced snack, they share the bill equally. Yesterday, this resulted in Alex paying £1 less than the cost of his snack, Ben paying £3 more, Cory £4 less and Dani paid £4. What was the actual price of the snack that each friend ordered?

Of the 26 boys in a class, 21 are right-handed. If 10 of the boys in the class wear glasses, what is the least number of boys in the class who are both right-handed and wear glasses?

How many ODD three digit numbers is it possible to make using the numbers 4, 5 and 7 if you are allowed to use each of the numbers more than once in a particular three digit number?

This is a question which needs you to be organised, and to work in a logical manner. Set your answers out clearly. Write down all the 3-digit numbers which can be made by using each of the digits 1, 2, and 3 once only

A ball is dropped and bounces up to a height that is 75% of the height from which it was dropped. It then bounces again to a height that is 75% of the previous height and so on. How many bounces does it make before it bounces to a height that is less than 25% of the original height?

Fazal has £2.60 and Gareth has £5.30. Gareth gives Fazal some 5p coins. Each boy now has the same amount of money. How many 5p coins did Gareth give Fazal?

The perimeter of a rectangle is 22cm. One of the sides has length 8cm. Calculate the lengths of the other three sides.

Jerry puts a cube against the floor and the walls in the corner of his room, as in diagram 1, then paints the faces that he can see. He therefore paints three faces. In the second corner he puts four cubes in a square on the floor in the corner and then puts one cube on top in the corner too as shown in diagram 2. If he paints all the faces he can see now, how many faces does he paint on the cubes in this corner?

This is not a question but a note for you. As exams are on their way, for the next five days, I will be posting three questions a day.  Afterwards, posting will be continued as normal with 1 question a day. Please contact rithvikmu@gmail.com for further questions

In Sydney Australia the time is 11 hours ahead of the UK. John decides to phone his Great Aunt Matilda at 2300 hours UK time on the 30th January. What is the time and date in Sydney when Matilda receives the call? John’s sister Penny goes one better and decides to visit Great Aunt Matilda. She leaves the UK at the same time that John makes his phone call. Given that the total journey time is 27 hours, what is the Sydney time and date when Penny arrives?

2 packets of crisps and 2 drinks costs £1.50. 2 packets of crisps and 1 drink costs £1.10. What would it cost me if I buy 3 packets of crisps and 4 drinks?

This mystery number has 4 digits. Every digit is an odd number. None of the digits is a 9. Every digit in the number is different. The smallest digit is in the thousands place. The greatest digit is in the ones place. This describes two possible numbers. The mystery number is the greater of those two numbers. What is the mystery number?

How many different 3 digit numbers can you make from the digits 1, 1 and 3. You can use each digit as many times as you like.

10 teachers can mark 180 exam papers in 3 hours. It takes each teacher the same amount of time to mark each exam paper. (a) How many teachers would it take to mark 90 exam papers in 3 hours? (b) How long would it take 5 teachers to mark 180 exam papers? (c) How many exam papers could 20 teachers mark in 1 hour?

Alison, Bhavini and Catherine share a bag of sweets. Alison gets 5 more sweets than Bhavini and Catherine gets twice as many sweets as Alison. Catherine gets 22 sweets. How many sweets are there in the bag?

Jeff goes to the cinema. He buys a ticket for £5.75, popcorn for £1.50 and a drink for 76p. His return train fare is £3.80. If he leaves home with a £20 note how much change does he return with?

Billy is given some toffees by his father. He eats one and then shares the rest out equally between himself and Emily. He then eats another and then shares the rest out equally between himself and Detti. He eats one more and gives the last one to Sean. How many toffees did Detti get? How many toffees did Emily get? How many toffees did Billy have at the start?

At the end of 2011, there were 1234 members of Feel Fit Gym. During the year, 167 members had joined the gym and 38 had left. How many members were there at the start of 2011?