Rithvik's Blog 11+

Tim has three apples. The mean (average) weight of the three apples is 90 grams. When Tim eats the largest apple, the mean weight of the remaining two apples is just 70 grams. What was the weight of the largest apple?

Alice thinks of a number.  Alice calls her number a.  Alice adds 7 to her number, and then doubles her answer.  Write an expression, using a, to show what Alice does.

 Find the value of χ in the diagram below

There are 40 coloured counters in a box. Half of them are red, one-fifth are yellow and the rest are green. How many are green?

A piece of wire 30cm long is bent into the shape of a rectangle. If the rectangle is twice as long as it is wide, what is its area?

A train leaves London at 10.35 a.m. and arrives in Exeter 3 hours and 35 minutes later. What time does it arrive?

Two crosses can be put in three squares in three different ways, as follows.  In how many different ways can you put three crosses in five squares?

The mean age of the five members of the ‘Macaroon 5’ boy band is 18. A new member joins the band. His age is 24. What is the new mean age of the group?

18) According to Nigella, when making a birthday cake, the perfect ratio of flour to sugar is 140:200. What is this ratio in its simplest form?

 Bob has  15 more stones than Alan. Colin gives Bob 25 stones. Bob now has 3 times as much as Alan does. 1) How many has Alan got? 2) How many has Bob got?

 Find the smallest number that gives a remainder of 1 when divided by 5, 6 or 7.

Bob thinks of a number. He doubles it and adds 6. He then divides it by 2. The answer is 8. What was his original number?

 What is the smallest whole number, above 120, which when divided by 53, leaves a remainder of two?

Miss Drew is arranging the cast for the school nativity play. There are 6 children and 6 characters – Mary, Joseph, Herod, a shepherd, the innkeeper and an angel. If possible, Miss Drew must give each child his or her first choice but, if this is not possible, his or her second choice. The table below shows each child’s first and second choices.