Rithvik's Blog 11+

A rectangular room is twice as long as it is wide. The perimeter of the room is 36m. What is the length of the room?

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?

A farmer has 364 ewes and each ewe has either one or two new born lambs. If there are 468 lambs in total, how many of the ewes have twin lambs?

1) The average number of runs scored by a cricket team in an innings is 17. What was the total number of runs scored by all eleven players? 2) In this innings the opening pair of batsmen scored an average of 39.5 runs. What was the average score of the remaining nine members of the team?

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?

If there are 5 Mondays, 5 Tuesdays and 5 Wednesdays in January, on what day of the week will February 1st fall? (There are 31 days in January)

When my age is divided by 2, 3, 4 or 6 there is always a remainder of 1. But when divided by 7 there is no remainder. How old am I?

This pattern of 20 tiles is arranged as 4 rows and 5 columns. The outer tiles around the edge are white and the inner tiles are black. When I change the number of rows and columns in my pattern I continue to keep the outer tiles around the edge white.  a) Complete the following table: b) I have 24 black tiles. What is the smallest number of white tiles I can use to make one of my patterns? Show workings to prove that your answer is the smallest possible solution.

An apple, 2 oranges and 3 pears cost £2.10 altogether. An orange and a pear cost 64 pence. How much more does an apple cost than an orange?

A running track has a perimeter of 400 metres. Roger trains every morning by running around the running track until he has run a distance of 6 kilometres. How many times around the track does Roger run each morning?

Frances writes down four whole numbers. The average (mean) of her numbers is six. The difference between the smallest and largest numbers is five. The smallest number is four. She did not write down the number 5. What numbers did she write down?

On my wall I want to put some stickers of my favourite pop star Singing Steve. The space I have available is 55cm by 60cm and the stickers are each 15cm by 5cm. What is the maximum number of stickers I can fit on the wall?

My friend Sanjay is making a scale model of the London Ear (a famous landmark in London). The London Ear is 80m tall and his model is 150cm tall. What is the scale of the model, in its simplest form?

Julia thinks of a number. She multiplies it by 5 and then subtracts 14. The answer she gets is 46. What number did she originally think of?

The minute hand on a clock points exactly to the number 7. It is then turned anticlockwise by 240°. What number does it now point to?

Ravi has two sisters, Harsha and Harpreet. He likes to share out his sweets unfairly. One day he gives Harsha twice as many as he gives himself, and he gives Harpreet half as many as he gives himself. If there are 42 sweets in total how many does Ravi get?

The diagram below shows a road network connecting the villages A to H. The numbers between the letters show how far apart the villages are in miles. A route connects two villages by travelling along the straight lines. An example of a route from E to D is EF – FC – CD.