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.

1. Write down the next number in each sequence. (a) 5, 19, 33, 47, _______  (b) 1, 4, 9, 16, _______  (c) 2, 6, 18, 54, _______  (d) 88, 44, 22, 11, _______ 

 Janice has ten pens. 5 of them are blue. 5 of them are red. 8 of them are felt tip pens. Fill in the blanks using the information above: There are between _____________ and ______________ blue felt tip pens.

My train was scheduled to leave at 17:40 and to arrive at 18:20. However, it started five minutes late and the journey then took 42 minutes. At what time did I arrive?

Complete the Triangle of numbers:

The graph below shows the progress of two cars in a race from Leeds to Blackpool and back again. Car A is the bold line. Car B is the dotted line. Answer the 4 questions below the diagram. 1) How far is it from Leeds to Blackpool? 2) Which car was winning at 3.30pm? 3) Which car was winning at 4.15pm? 4) What was the distance between the cars at 4.45pm?

The diagram below shows the one-way cycle paths in a park. Work out the total number of possible routes to go from A to C. From A to D. From A to E.

A large barrel contains 3.25 litres of water. Mel fills 500 ml bottles from the barrel. She then uses the rest of the water to fill as many 150 cups as she can. What is the largest number of cups which Mel can completely fill?

Jack thinks of a number. Jack calls his number n. Jack multiplies his number by 3, and then subtracts 5. He gets the answer 16 Use this information to write down an equation, and then solve it to find n.

A plant is growing at a steady rate of 0.2cm every day. At midday on January 19th the plant was 6cm high. What will the date be when it reaches a height of 11 cm?

 How many different four digit numbers can be made from the digits 2, 2, 2, 3 and 3?

A rectangle has a length of 50mm and has the same area as a square with side 70mm. Calculate the perimeter of the rectangle

1a) Find angle x and y in the following diagram? b) Next, Find Angle b in the diagram below    Here is the backwards 'z' I was talking about in 1b)

1. How many Grey tiles are there in the 8th pattern? 2. There is a pattern with 40 White tiles. Which pattern number is it? 3. A pattern has 100 Grey tiles. How many White tiles are in this pattern?

The area of this regular Hexagon is 48 m². What is the shaded triangle's area? Answer: This is the picture of what I meant in the comment:

There are 2200 litres of water available in a tank. After 550 litres of water have been used, what is the percentage of water that remains? What is the percentage of water used?

During lockdown, George ate 3/20 of all the chocolates and then another 1.2kg. Bob ate 3/5 of the chocolates and the remaining 0.3 kg. What is the total weight they ate?

On planet Plutas, the symbol
has a special meaning in arithmetic. g
h means multiply g by 5, then subtract 2 times h.  (a) Work out 4
3   (b) Work out the value of k so that k
3 = 29  It is possible to use the symbol twice in a                calculation.  (c) Work out 5
(4
3)   (d) Work out the value of t so that (6
t)
4 12

 Two adults and two children wish to cross a river. They make a raft but it will carry only the weight of one adult or two children. What is the minimum number of times the raft must cross the river to get all four people to the other side? (N.B. The raft may not cross the river without at least one person on board.)

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?

 

 

A bird has 2 legs, a cat has 4 legs, an insect has 6 legs and a spider has 8 legs. Claire looks at some animals and counts all their legs. She counts 38 legs. There are twice as many birds as spiders and twice as many cats as insects. How many of each type of animal can she see?

6 wolves can eat 6 deer in 6 hours. How long will it take 3 wolves to eat 3 deer?

 If x = 5, then what is y in the expression below. y = (x + 5) * (5 - 5)

  Four children, Bob, John, Lenny and Andrew had a race. Bob did not come first, John was beaten by Andrew, Lenny finished after Bob, Bob beat John and John did not come last. In what order did they finish?

How many factors does 120 have? Can you find a quicker way? What is the sum of the factors of 120? Also, can you find a quicker way again? Please put your easier ways in the comments.😀

Anna's age is twice that of David's and half that of Bob's. The total of all their ages is 21. How old is Bob?

  Find the smallest number which leaves 1 remainder of 1 when divided by 5 or 6 or 7.

 Solve for X: 1) X + Y = 12                                                                                                                                                        X  -  Y =  6                                                                                                                                                        ========= 2) X + Y = 15     X  - Y =  3                                                                                                                                                          =========

1)843 + 654 = ? 2)789 + 123 = ? 3) 8 * 8 * 8 * 8 * 8 * 8 = ? 4) (8 / 8) + 7 = ?

 Which series is this callous speech from? Sons of Gondor! Of Rohan! My brothers. I see in your eyes the same fear that would take the heart of me. A day may come when the courage of Men fails, when we forsake our friends and break all bonds of fellowship, but it is not this day. An hour of wolves and shattered shields when the Age of Men comes crashing down, but it is not this day! This day we fight! By all that you hold dear on this good earth, I bid you stand, Men of the West!

You need to arrange your 3 friends and you (Tom, Peter, Bob and George) in the bistro queue, in a single-file line. However, Tom and Bob are best friends, so you have to put them next to each other, or they won't even come into the queue. How many ways can you arrange yourselves?

 1)   What is the value of: 1 + 3 + 5 + 7 + 9 +...........+ 35 + 37 + 39

How many multiples of 3 that are less than 1000 are not divisible either by 9 or by 10?

Triangles XY Z and PQR are drawn on a square grid. What fraction of the area of triangle XY Z is the area of triangle PQR? Give your answer in simplest form.

In the window of Bradley's Bicycle Bazaar there are some unicycles, some bicycles and some tricycles. Laura sees that there are seven saddles in total, thirteen wheels in total and more bicycles than tricycles. How many unicycles are in the window?

How many seconds are there in 1/4 of 1/6 of 1/8 of a day?